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2743 lines
108 KiB
Plaintext
2743 lines
108 KiB
Plaintext
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unit BlkAnovaUnit;
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{$mode objfpc}{$H+}
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interface
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uses
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Classes, SysUtils, FileUtil, LResources, Forms, Controls, Graphics, Dialogs,
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StdCtrls, Buttons, ExtCtrls, MainUnit, Globals, FunctionsLib, OutPutUnit,
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DataProcs, GraphLib, ANOVATESTSUnit, Math, contexthelpunit;
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type
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{ TBlksAnovaFrm }
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TBlksAnovaFrm = class(TForm)
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BrownForsythe: TCheckBox;
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Label5: TLabel;
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Welch: TCheckBox;
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DepIn: TBitBtn;
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DepOut: TBitBtn;
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Fact1In: TBitBtn;
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Fact1Out: TBitBtn;
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Fact2In: TBitBtn;
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Fact2Out: TBitBtn;
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Fact3In: TBitBtn;
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Fact3Out: TBitBtn;
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HelpBtn: TButton;
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ResetBtn: TButton;
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CancelBtn: TButton;
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ComputeBtn: TButton;
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ReturnBtn: TButton;
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Scheffe: TCheckBox;
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Plot3DLines: TCheckBox;
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TukeyHSD: TCheckBox;
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TukeyB: TCheckBox;
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TukeyKramer: TCheckBox;
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NewmanKeuls: TCheckBox;
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Bonferoni: TCheckBox;
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OrthoContrasts: TCheckBox;
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PlotMeans: TCheckBox;
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Plot2DLines: TCheckBox;
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DepVar: TEdit;
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Factor1: TEdit;
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Factor2: TEdit;
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Factor3: TEdit;
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OverallAlpha: TEdit;
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PostAlpha: TEdit;
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GroupBox1: TGroupBox;
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GroupBox2: TGroupBox;
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Label1: TLabel;
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Label2: TLabel;
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Label3: TLabel;
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Label4: TLabel;
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VarList: TListBox;
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Fact1Grp: TRadioGroup;
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Fact2Grp: TRadioGroup;
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Fact3Grp: TRadioGroup;
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StaticText1: TStaticText;
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StaticText2: TStaticText;
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StaticText3: TStaticText;
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StaticText4: TStaticText;
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procedure ComputeBtnClick(Sender: TObject);
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procedure DepInClick(Sender: TObject);
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procedure DepOutClick(Sender: TObject);
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procedure Fact1OutClick(Sender: TObject);
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procedure Fact2InClick(Sender: TObject);
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procedure Fact2OutClick(Sender: TObject);
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procedure Fact3InClick(Sender: TObject);
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procedure Fact3OutClick(Sender: TObject);
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procedure Fact1InClick(Sender: TObject);
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procedure FormShow(Sender: TObject);
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procedure HelpBtnClick(Sender: TObject);
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procedure ResetBtnClick(Sender: TObject);
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procedure TwoWayContrasts(Sender: TObject);
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procedure ThreeWayContrasts(Sender: TObject);
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private
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{ private declarations }
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NoSelected, intvalue, N : integer;
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ColNoSelected : IntDyneVec;
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outline, cellstring : string;
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SSDep, SSErr, SSF1, SSF2, SSF3, SSF1F2, SSF1F3, SSF2F3, SSF1F2F3 : double;
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MSDep, MSErr, MSF1, MSF2, MSF3, MSF1F2, MSF1F3, MSF2F3, MSF1F2F3 : double;
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DFTot, DFErr, DFF1, DFF2, DFF3, DFF1F2, DFF1F3, DFF2F3, DFF1F2F3 : double;
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Omega, OmegaF1, OmegaF2, OmegaF3, OmegaF1F2, F, MinSize, MaxSize : double;
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OmegaF1F3, OmegaF2F3, OmegaF1F2F3 : double;
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FF1, FF2, FF1F2, ProbF1, ProbF2, ProbF3, ProbF1F2, ProbF1F3 : double;
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FF3, FF2F3, FF1F3, FF1F2F3, ProbF2F3, ProbF1F2F3 : double;
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DepVarCol, F1Col, F2Col, F3Col, Nf1cells, Nf2cells, Nf3cells : integer;
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MeanDep, MeanF1, MeanF2, MeanF3, X : double;
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minf1, maxf1, minf2, maxf2, minf3, maxf3, nofactors, totcells : integer;
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cellcnts : DblDyneVec; // array of cell counts
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cellvars : DblDyneVec; // arrray of cell sums of squares then variances
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cellsums : DblDyneVec; // array of cell sums then means
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equal_grp : boolean; // check for equal groups for post-hoc tests
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counts : DblDyneMat; // matrix for 2-way containing cell sizes
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sums : DblDyneMat; // matrix for 2-way containing cell sums
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vars : DblDyneMat; // matrix for 2-way containing sums of squares
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RowSums : DblDyneVec; // 2 way row sums
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ColSums : DblDyneVec; // 2 way col sums
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RowCount : DblDyneVec; // 2 way row count
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ColCount : DblDyneVec; // 2 way col count
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SlcSums : DblDyneVec; // 3 way slice sums
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SlcCount : DblDyneVec; // 3 way slice counts
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NoGrpsA, NoGrpsB, NoGrpsC : integer;
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OrdMeansA, OrdMeansB, OrdMeansC : DblDyneVec; // reordered means for f1, f2, f3
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allAlpha, PostHocAlpha : double; // alphas for tests
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// wsum : array[1..20,1..20,1..20] of double; // sums for 3 way
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// ncnt : array[1..20,1..20,1..20] of integer; // n in 3 way cells
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// wx2 : array[1..20,1..20,1..20] of double; // sums of squares for 3 way cells
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wsum, wx2 : DblDyneCube;
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ncnt : IntDyneCube;
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OKterms : array[1..14] of integer;
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CompError : boolean;
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procedure getlevels(Sender : TObject);
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procedure Calc1Way(Sender: TObject);
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procedure OneWayTable(Sender: TObject);
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procedure OneWayPlot(Sender: TObject);
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procedure Calc2Way(Sender: TObject);
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procedure TwoWayTable(Sender: TObject);
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procedure TwoWayPlot(Sender: TObject);
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procedure Calc3Way(Sender: TObject);
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procedure ThreeWayTable(Sender: TObject);
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procedure ThreeWayPlot(Sender: TObject);
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procedure BrownForsytheOneWay(Sender: TObject);
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procedure WelchOneWay(Sender: TObject);
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procedure Welchttests(Sender: TObject);
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public
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{ public declarations }
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end;
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var
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BlksAnovaFrm: TBlksAnovaFrm;
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implementation
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{ TBlksAnovaFrm }
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procedure TBlksAnovaFrm.ResetBtnClick(Sender: TObject);
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Var i : integer;
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begin
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VarList.Clear;
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DepIn.Visible := true;
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Fact1In.Visible := true;
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Fact2In.Visible := true;
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Fact3In.Visible := true;
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DepOut.Visible := false;
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Fact1Out.Visible := false;
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Fact2Out.Visible := false;
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Fact3Out.Visible := false;
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DepVar.Text := '';
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Factor1.Text := '';
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Factor2.Text := '';
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Factor3.Text := '';
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Fact1Grp.ItemIndex := 0;
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Fact2Grp.ItemIndex := 0;
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Fact3Grp.ItemIndex := 0;
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PlotMeans.Checked := false;
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Scheffe.Checked := false;
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TukeyHSD.Checked := false;
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TukeyB.Checked := false;
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TukeyKramer.Checked := false;
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NewmanKeuls.Checked := false;
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Bonferoni.Checked := false;
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PostAlpha.Text := '0.05';
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OverAllalpha.Text := '0.05';
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for i := 1 to NoVariables do
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VarList.Items.Add(OS3MainFrm.DataGrid.Cells[i,0]);
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end;
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procedure TBlksAnovaFrm.FormShow(Sender: TObject);
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begin
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ResetBtnClick(self);
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end;
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procedure TBlksAnovaFrm.HelpBtnClick(Sender: TObject);
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begin
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ContextHelpForm.HelpMessage((Sender as TButton).tag);
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end;
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procedure TBlksAnovaFrm.DepInClick(Sender: TObject);
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VAR index : integer;
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begin
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index := VarList.ItemIndex;
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DepVar.Text := VarList.Items.Strings[index];
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DepIn.Visible := false;
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DepOut.Visible := true;
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VarList.Items.Delete(index);
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end;
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procedure TBlksAnovaFrm.ComputeBtnClick(Sender: TObject);
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Var
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i : integer;
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Label cleanit;
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label nexttwo;
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label nextthree;
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begin
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OutPutFrm.RichEdit.Clear;
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// initialize values
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SetLength(ColNoSelected,NoVariables);
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DepVarCol := 0;
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F1Col := 0;
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F2Col := 0;
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F3Col := 0;
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SSDep := 0.0;
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SSF1 := 0.0;
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SSF2 := 0.0;
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SSF3 := 0.0;
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SSF1F2 := 0.0;
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SSF1F3 := 0.0;
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SSF2F3 := 0.0;
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SSF1F2F3 := 0.0;
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MeanDep := 0.0;
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MeanF1 := 0.0;
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MeanF2 := 0.0;
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MeanF3 := 0.0;
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Nf1cells := 0;
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Nf2cells := 0;
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Nf3cells := 0;
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N := 0;
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NoSelected := 0;
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minf1 := 0;
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maxf1 := 0;
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minf2 := 0;
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maxf2 := 0;
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minf3 := 0;
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maxf3 := 0;
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// Get column numbers of dependent variable and factors
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for i := 1 to NoVariables do
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begin
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cellstring := OS3MainFrm.DataGrid.Cells[i,0];
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if cellstring = DepVar.Text then
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begin
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DepVarCol := i;
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NoSelected := NoSelected + 1;
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ColNoSelected[NoSelected-1] := DepVarCol;
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end;
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if cellstring = Factor1.Text then
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begin
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F1Col := i;
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NoSelected := NoSelected + 1;
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ColNoSelected[NoSelected-1] := F1Col;
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end;
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if cellstring = Factor2.Text then
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begin
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F2Col := i;
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NoSelected := NoSelected + 1;
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ColNoSelected[NoSelected-1] := F2Col;
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end;
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if cellstring = Factor3.Text then
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begin
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F3Col := i;
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NoSelected := NoSelected + 1;
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ColNoSelected[NoSelected-1] := F3Col;
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end;
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end;
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if F2Col = 0 then nofactors := 1 else nofactors := 2;
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if F3Col <> 0 then nofactors := 3;
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allAlpha := StrToFloat(OverAllalpha.Text);
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PostHocAlpha := StrToFloat(PostAlpha.Text);
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// get min and max of each factor code
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getlevels(self);
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// allocate space
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SetLength(cellcnts,totcells); // array of cell counts
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SetLength(cellvars,totcells); // arrray of cell sums of squares then variances
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SetLength(cellsums,totcells); // array of cell sums then means
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// initialize array values
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for i := 1 to totcells do
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begin
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cellsums[i-1] := 0.0;
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cellvars[i-1] := 0.0;
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cellcnts[i-1] := 0;
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end;
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// do analysis
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case nofactors of
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1 :
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begin
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Calc1Way(self); // single factor anova
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if CompError then goto cleanit;
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OneWayTable(self); // output the results
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if Scheffe.Checked then
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SCHEFFETEST(MSErr,cellsums,cellcnts,minf1,maxf1,N);
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if (TukeyHSD.Checked) and (equal_grp) then
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Tukey(MSErr,DFErr,MinSize,cellsums,cellcnts,minf1,maxf1);
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if (TukeyB.Checked) and (equal_grp) then
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TUKEYBTEST(MSErr,DFErr,cellsums,cellcnts,minf1,maxf1,MinSize);
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if (TukeyKramer.Checked) then
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TUKEY_KRAMER(MSErr,DFErr,MinSize,cellsums,cellcnts,minf1,maxf1);
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if (NewmanKeuls.Checked) and (equal_grp) then
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Newman_Keuls(MSErr,DFErr,MinSize,cellsums,cellcnts,minf1,maxf1);
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if Bonferoni.Checked then
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Bonferroni(cellsums,cellcnts,cellvars,minf1,maxf1);
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if OrthoContrasts.Checked then
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CONTRASTS(MSErr,DFErr,cellsums,cellcnts,minf1,maxf1,0.05);
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OutPutFrm.ShowModal;
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if (PlotMeans.Checked) or (Plot2DLines.Checked)
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or (Plot3DLines.Checked) then OneWayPlot(self);
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if BrownForsythe.Checked then BrownForsytheOneWay(self);
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if Welch.Checked then WelchOneWay(self);
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end;
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2 : // two-way anova
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begin
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SetLength(counts,Nf1cells,Nf2cells); // matrix for 2-way containing cell sizes
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SetLength(sums,Nf1cells,Nf2cells); // matrix for 2-way containing cell sums
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SetLength(vars,Nf1cells,Nf2cells); // matrix for 2-way containing sums of squares
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SetLength(RowSums,Nf1cells); // 2 way row sums
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SetLength(ColSums,Nf2cells); // 2 way col sums
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SetLength(RowCount,Nf1cells); // 2 way row count
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SetLength(ColCount,Nf2cells); // 2 way col count
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SetLength(OrdMeansA,Nf1cells); // ordered means for factor 1
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SetLength(OrdMeansB,Nf2cells); // ordered means for factor 2
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Calc2Way(self);
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if CompError then goto nexttwo;
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TwoWayTable(self);
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TwoWayContrasts(self);
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OutPutFrm.ShowModal;
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if (PlotMeans.Checked) or (Plot2DLines.Checked)
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or (Plot3DLines.Checked) then TwoWayPlot(self);
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nexttwo: OrdMeansB := nil;
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OrdMeansA := nil;
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ColCount := nil;
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RowCount := nil;
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ColSums := nil;
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RowSums := nil;
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vars := nil;
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sums := nil;
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counts := nil;
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end;
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3 : // three way anova
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begin
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SetLength(RowSums,Nf1cells); // 2 way row sums
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SetLength(ColSums,Nf2cells); // 2 way col sums
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SetLength(RowCount,Nf1cells); // 2 way row count
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SetLength(ColCount,Nf2cells); // 2 way col count
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SetLength(SlcSums,Nf3cells); // 3 way slice sums
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|
|
SetLength(SlcCount,Nf3cells); // 3 way slice counts
|
||
|
|
SetLength(OrdMeansA,Nf1cells); // ordered means for factor 1
|
||
|
|
SetLength(OrdMeansB,Nf2cells); // ordered means for factor 2
|
||
|
|
SetLength(OrdMeansC,Nf3cells); // ordered means for factor 3
|
||
|
|
SetLength(wsum,Nf1cells,Nf2cells,Nf3cells);
|
||
|
|
SetLength(wx2,Nf1cells,Nf2cells,Nf3cells);
|
||
|
|
SetLength(ncnt,Nf1cells,Nf2cells,Nf3cells);
|
||
|
|
|
||
|
|
Calc3Way(self);
|
||
|
|
if CompError then goto nextthree;
|
||
|
|
ThreeWayTable(self);
|
||
|
|
ThreeWayContrasts(self);
|
||
|
|
OutPutFrm.ShowModal;
|
||
|
|
if (PlotMeans.Checked) or (Plot2DLines.Checked)
|
||
|
|
or (Plot3DLines.Checked) then ThreeWayPlot(self);
|
||
|
|
nextthree: ncnt := nil;
|
||
|
|
wx2 := nil;
|
||
|
|
wsum := nil;
|
||
|
|
OrdMeansC := nil;
|
||
|
|
OrdMeansB := nil;
|
||
|
|
OrdMeansA := nil;
|
||
|
|
SlcCount := nil;
|
||
|
|
SlcSums := nil;
|
||
|
|
ColCount := nil;
|
||
|
|
ColSums := nil;
|
||
|
|
RowCount := nil;
|
||
|
|
RowSums := nil;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
cleanit:
|
||
|
|
cellcnts := nil;
|
||
|
|
cellvars := nil;
|
||
|
|
cellsums := nil;
|
||
|
|
ColNoSelected := nil;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.DepOutClick(Sender: TObject);
|
||
|
|
begin
|
||
|
|
VarList.Items.Add(DepVar.Text);
|
||
|
|
DepVar.Text := '';
|
||
|
|
DepOut.Visible := false;
|
||
|
|
DepIn.Visible := true;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.Fact1OutClick(Sender: TObject);
|
||
|
|
begin
|
||
|
|
VarList.Items.Add(Factor1.Text);
|
||
|
|
Factor1.Text := '';
|
||
|
|
Fact1Out.Visible := false;
|
||
|
|
Fact1In.Visible := true;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.Fact2InClick(Sender: TObject);
|
||
|
|
VAR index : integer;
|
||
|
|
begin
|
||
|
|
index := VarList.ItemIndex;
|
||
|
|
if index = -1 then exit;
|
||
|
|
Factor2.Text := VarList.Items.Strings[index];
|
||
|
|
Fact2In.Visible := false;
|
||
|
|
Fact2Out.Visible := true;
|
||
|
|
VarList.Items.Delete(index);
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.Fact2OutClick(Sender: TObject);
|
||
|
|
begin
|
||
|
|
VarList.Items.Add(Factor2.Text);
|
||
|
|
Factor2.Text := '';
|
||
|
|
Fact2Out.Visible := false;
|
||
|
|
Fact2In.Visible := true;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.Fact3InClick(Sender: TObject);
|
||
|
|
VAR index : integer;
|
||
|
|
begin
|
||
|
|
index := VarList.ItemIndex;
|
||
|
|
if index = -1 then exit;
|
||
|
|
Factor3.Text := VarList.Items.Strings[index];
|
||
|
|
Fact3In.Visible := false;
|
||
|
|
Fact3Out.Visible := true;
|
||
|
|
VarList.Items.Delete(index);
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.Fact3OutClick(Sender: TObject);
|
||
|
|
begin
|
||
|
|
VarList.Items.Add(Factor3.Text);
|
||
|
|
Factor3.Text := '';
|
||
|
|
Fact3Out.Visible := false;
|
||
|
|
Fact3In.Visible := true;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.Fact1InClick(Sender: TObject);
|
||
|
|
VAR index : integer;
|
||
|
|
begin
|
||
|
|
index := VarList.ItemIndex;
|
||
|
|
if index = -1 then exit;
|
||
|
|
Factor1.Text := VarList.Items.Strings[index];
|
||
|
|
Fact1In.Visible := false;
|
||
|
|
Fact1Out.Visible := true;
|
||
|
|
VarList.Items.Delete(index);
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.getlevels(Sender: TObject);
|
||
|
|
VAR i : integer;
|
||
|
|
begin
|
||
|
|
minf1 := 10000;
|
||
|
|
maxf1 := -10000;
|
||
|
|
for i := 1 to NoCases do
|
||
|
|
begin
|
||
|
|
if Not GoodRecord(i,NoSelected,ColNoSelected) then continue;
|
||
|
|
intvalue := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[F1Col,i])));
|
||
|
|
if intvalue > maxf1 then maxf1 := intvalue;
|
||
|
|
if intvalue < minf1 then minf1 := intvalue;
|
||
|
|
end;
|
||
|
|
Nf1cells := maxf1 - minf1 + 1;
|
||
|
|
if nofactors > 1 then
|
||
|
|
begin
|
||
|
|
minf2 := 10000;
|
||
|
|
maxf2 := -10000;
|
||
|
|
for i := 1 to NoCases do
|
||
|
|
begin
|
||
|
|
if Not GoodRecord(i,NoSelected,ColNoSelected) then continue;
|
||
|
|
intvalue := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[F2Col,i])));
|
||
|
|
if intvalue > maxf2 then maxf2 := intvalue;
|
||
|
|
if intvalue < minf2 then minf2 := intvalue;
|
||
|
|
end;
|
||
|
|
Nf2cells := maxf2 - minf2 + 1;
|
||
|
|
end;
|
||
|
|
if nofactors = 3 then
|
||
|
|
begin
|
||
|
|
minf3 := 10000;
|
||
|
|
maxf3 := -10000;
|
||
|
|
for i := 1 to NoCases do
|
||
|
|
begin
|
||
|
|
if Not GoodRecord(i,NoSelected,ColNoSelected) then continue;
|
||
|
|
intvalue := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[F3Col,i])));
|
||
|
|
if intvalue > maxf3 then maxf3 := intvalue;
|
||
|
|
if intvalue < minf3 then minf3 := intvalue;
|
||
|
|
end;
|
||
|
|
Nf3cells := maxf3 - minf3 + 1;
|
||
|
|
end;
|
||
|
|
totcells := Nf1cells + Nf2cells + Nf3cells;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.Calc1Way(Sender: TObject);
|
||
|
|
VAR i : integer;
|
||
|
|
begin
|
||
|
|
// get working totals
|
||
|
|
for i := 1 to NoCases do
|
||
|
|
begin
|
||
|
|
if not GoodRecord(i,NoSelected,ColNoSelected) then continue;
|
||
|
|
intvalue := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[F1Col,i])));
|
||
|
|
X := StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[DepVarCol,i]));
|
||
|
|
intvalue := intvalue - minf1 + 1;
|
||
|
|
cellcnts[intvalue-1] := cellcnts[intvalue-1] + 1;
|
||
|
|
cellsums[intvalue-1] := cellsums[intvalue-1] + X;
|
||
|
|
cellvars[intvalue-1] := cellvars[intvalue-1] + (X * X);
|
||
|
|
MeanDep := MeanDep + X;
|
||
|
|
SSDep := SSDep + (X * X);
|
||
|
|
N := N + 1;
|
||
|
|
end;
|
||
|
|
DFF1 := 0;
|
||
|
|
for i := 0 to Nf1cells-1 do
|
||
|
|
begin
|
||
|
|
if cellcnts[i] > 0 then
|
||
|
|
begin
|
||
|
|
SSF1 := SSF1 + (sqr(cellsums[i]) / cellcnts[i]);
|
||
|
|
DFF1 := DFF1 + 1;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
SSF1 := SSF1 - (sqr(MeanDep) / N);
|
||
|
|
SSDep := SSDep - (sqr(MeanDep) / N);
|
||
|
|
SSErr := SSDep - SSF1;
|
||
|
|
DFTot := N - 1;
|
||
|
|
DFF1 := DFF1 - 1;
|
||
|
|
DFErr := DFTot - DFF1;
|
||
|
|
MSF1 := SSF1 / DFF1;
|
||
|
|
MSErr := SSErr / DFErr;
|
||
|
|
MSDep := SSDep / DFTot;
|
||
|
|
Omega := (SSF1 - DFF1 * MSErr) / (SSDep + MSErr);
|
||
|
|
F := MSF1 / MSErr;
|
||
|
|
ProbF1 := probf(F,DFF1, DFErr);
|
||
|
|
MeanDep := MeanDep / N;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.OneWayTable(Sender: TObject);
|
||
|
|
var
|
||
|
|
i, grpsize : integer;
|
||
|
|
minvar, maxvar, sumvar, sumfreqlogvar, sumDFrecip : double;
|
||
|
|
c, bartlett, cochran, hartley, chiprob : double;
|
||
|
|
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('ONE WAY ANALYSIS OF VARIANCE RESULTS');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
outline := format('Dependent variable is: %s, Independent variable is: %s',
|
||
|
|
[DepVar.Text,Factor1.Text]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('SOURCE D.F. SS MS F PROB.>F OMEGA SQR.');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
outline := format('BETWEEN %4.0f%10.2f%10.2f%10.2f%10.2f%10.2f',
|
||
|
|
[DFF1,SSF1,MSF1,F,ProbF1,Omega]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('WITHIN %4.0f%10.2f%10.2f',[DFErr,SSErr,MSErr]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('TOTAL %4.0f%10.2f',[DFTot,SSDep]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('MEANS AND VARIABILITY OF THE DEPENDENT VARIABLE FOR LEVELS OF THE INDEPENDENT VARIABLE');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('GROUP MEAN VARIANCE STD.DEV. N');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
equal_grp := true;
|
||
|
|
minvar := 1e20;
|
||
|
|
maxvar := 0.0;
|
||
|
|
sumvar := 0.0;
|
||
|
|
sumDFrecip := 0.0;
|
||
|
|
sumfreqlogvar := 0.0;
|
||
|
|
grpsize := round(cellcnts[0]);
|
||
|
|
MinSize := grpsize; // initialized minimum group size
|
||
|
|
MaxSize := grpsize; // initialize maximum group size
|
||
|
|
for i := 0 to NF1cells-1 do
|
||
|
|
begin
|
||
|
|
grpsize := round(cellcnts[i]);
|
||
|
|
if grpsize < MinSize then
|
||
|
|
begin
|
||
|
|
MinSize := grpsize;
|
||
|
|
equal_grp := false;
|
||
|
|
end;
|
||
|
|
if grpsize > MaxSize then MaxSize := grpsize;
|
||
|
|
if cellcnts[i] > 1 then
|
||
|
|
begin
|
||
|
|
cellvars[i] := cellvars[i] - (sqr(cellsums[i]) / cellcnts[i]);
|
||
|
|
cellvars[i] := cellvars[i] / (cellcnts[i] - 1);
|
||
|
|
if cellvars[i] > maxvar then maxvar := cellvars[i];
|
||
|
|
if cellvars[i] < minvar then minvar := cellvars[i];
|
||
|
|
sumvar :=sumvar + cellvars[i];
|
||
|
|
sumDFrecip := sumDFrecip + (1.0 / (cellcnts[i] - 1.0));
|
||
|
|
sumfreqlogvar := sumfreqlogvar + (cellcnts[i] - 1) * Log10(cellvars[i]);
|
||
|
|
end;
|
||
|
|
if cellcnts[i] > 0 then
|
||
|
|
begin
|
||
|
|
outline := format('%4d %10.2f%10.2f%10.2f%4.0f',
|
||
|
|
[i+1,cellsums[i] / cellcnts[i], cellvars[i], sqrt(cellvars[i]), cellcnts[i]]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
outline := format('TOTAL%10.2f%10.2f%10.2f%4d',[MeanDep,MSDep,sqrt(MSDep),N]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
c := 1.0 + (1.0 / (3 * DFF1)) * (sumDFrecip - (1.0 / DFErr));
|
||
|
|
bartlett := (2.303 / c) * ((DFErr * Log10(MSErr)) - sumfreqlogvar);
|
||
|
|
chiprob := 1.0 - chisquaredprob(bartlett,round(DFF1));
|
||
|
|
cochran := maxvar / sumvar;
|
||
|
|
hartley := maxvar / minvar;
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('TESTS FOR HOMOGENEITY OF VARIANCE');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
outline := format('Hartley Fmax test statistic = %10.2f with deg.s freedom: %d and %5.0f.',
|
||
|
|
[hartley, NF1cells, MaxSize - 1]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Cochran C statistic = %10.2f with deg.s freedom: %d and %5.0f.',
|
||
|
|
[cochran, NF1cells, MaxSize - 1]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Bartlett Chi-square = %10.2f with %4.0f D.F. Prob. > Chi-Square = %6.3f',
|
||
|
|
[bartlett, DFF1, chiprob]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.OneWayPlot(Sender: TObject);
|
||
|
|
var
|
||
|
|
i : integer;
|
||
|
|
maxmean : double;
|
||
|
|
XValue : DblDyneVec;
|
||
|
|
setstring : string[11];
|
||
|
|
plottype : integer;
|
||
|
|
|
||
|
|
begin
|
||
|
|
plottype := 2;
|
||
|
|
SetLength(XValue,Nf1cells);
|
||
|
|
if PlotMeans.Checked then plottype := 2;
|
||
|
|
if Plot2DLines.Checked then plottype := 5;
|
||
|
|
if Plot3DLines.Checked then plottype := 6;
|
||
|
|
maxmean := 0.0;
|
||
|
|
setstring := 'FACTOR A';
|
||
|
|
GraphFrm.SetLabels[1] := setstring;
|
||
|
|
SetLength(GraphFrm.YPoints,1,NF1cells);
|
||
|
|
SetLength(GraphFrm.Xpoints,1,NF1cells);
|
||
|
|
for i := 1 to NF1cells do
|
||
|
|
begin
|
||
|
|
cellsums[i-1] := cellsums[i-1] / cellcnts[i-1];
|
||
|
|
GraphFrm.Ypoints[0,i-1] := cellsums[i-1];
|
||
|
|
if cellsums[i-1] > maxmean then maxmean := cellsums[i-1];
|
||
|
|
XValue[i-1] := minF1 + i - 1;
|
||
|
|
GraphFrm.Xpoints[0,i-1] := XValue[i-1];
|
||
|
|
end;
|
||
|
|
GraphFrm.nosets := 1;
|
||
|
|
GraphFrm.nbars := NF1cells;
|
||
|
|
GraphFrm.Heading := Factor1.Text;
|
||
|
|
GraphFrm.XTitle := 'FACTOR A LEVEL';
|
||
|
|
GraphFrm.YTitle := 'Mean';
|
||
|
|
GraphFrm.barwideprop := 0.5;
|
||
|
|
GraphFrm.AutoScale := false;
|
||
|
|
GraphFrm.miny := 0.0;
|
||
|
|
GraphFrm.maxy := maxmean;
|
||
|
|
GraphFrm.GraphType := plottype; // 3d Vertical Bar Chart
|
||
|
|
GraphFrm.BackColor := clYellow;
|
||
|
|
GraphFrm.WallColor := clBlack;
|
||
|
|
GraphFrm.FloorColor := clLtGray;
|
||
|
|
GraphFrm.ShowBackWall := true;
|
||
|
|
GraphFrm.ShowModal;
|
||
|
|
XValue := nil;
|
||
|
|
GraphFrm.Xpoints := nil;
|
||
|
|
GraphFrm.Ypoints := nil;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.Calc2Way(Sender: TObject);
|
||
|
|
var
|
||
|
|
i, j : integer;
|
||
|
|
grpA, grpB : integer;
|
||
|
|
Constant, RowsTotCnt, ColsTotCnt, SSCells : double;
|
||
|
|
|
||
|
|
begin
|
||
|
|
CompError := false;
|
||
|
|
// initialize matrix values
|
||
|
|
NoGrpsA := maxf1 - minf1 + 1;
|
||
|
|
NoGrpsB := maxf2 - minf2 + 1;
|
||
|
|
for i := 1 to NoGrpsA do
|
||
|
|
begin
|
||
|
|
RowSums[i-1] := 0.0;
|
||
|
|
RowCount[i-1] := 0.0;
|
||
|
|
for j := 1 to NoGrpsB do
|
||
|
|
begin
|
||
|
|
counts[i-1,j-1] := 0.0;
|
||
|
|
sums[i-1,j-1] := 0.0;
|
||
|
|
vars[i-1,j-1] := 0.0;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
for i := 1 to NoGrpsB do
|
||
|
|
begin
|
||
|
|
ColCount[i-1] := 0.0;
|
||
|
|
ColSums[i-1] := 0.0;
|
||
|
|
end;
|
||
|
|
N := 0;
|
||
|
|
MeanDep := 0.0;
|
||
|
|
SSDep := 0.0;
|
||
|
|
SSCells := 0.0;
|
||
|
|
RowsTotCnt := 0.0;
|
||
|
|
ColsTotCnt := 0.0;
|
||
|
|
// get working totals
|
||
|
|
for i := 1 to NoCases do
|
||
|
|
begin
|
||
|
|
if not GoodRecord(i,NoSelected,ColNoSelected) then continue;
|
||
|
|
grpA := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[F1Col,i])));
|
||
|
|
grpB := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[F2Col,i])));
|
||
|
|
X := StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[DepVarCol,i]));
|
||
|
|
grpA := grpA - minf1 + 1;
|
||
|
|
grpB := grpB - minf2 + 1;
|
||
|
|
counts[grpA-1,grpB-1] := counts[grpA-1,grpB-1] + 1;
|
||
|
|
sums[grpA-1,grpB-1] := sums[grpA-1,grpB-1] + X;
|
||
|
|
vars[grpA-1,grpB-1] := vars[grpA-1,grpB-1] + (X * X);
|
||
|
|
RowSums[GrpA-1] := RowSums[GrpA-1] + X;
|
||
|
|
ColSums[GrpB-1] := ColSums[GrpB-1] + X;
|
||
|
|
RowCount[GrpA-1] := RowCount[GrpA-1] + 1.0;
|
||
|
|
ColCount[GrpB-1] := ColCount[GrpB-1] + 1.0;
|
||
|
|
MeanDep := MeanDep + X;
|
||
|
|
SSDep := SSDep + (X * X);
|
||
|
|
N := N + 1;
|
||
|
|
end;
|
||
|
|
|
||
|
|
// Calculate results
|
||
|
|
for i := 0 to NoGrpsA-1 do
|
||
|
|
begin
|
||
|
|
SSF1 := SSF1 + ((RowSums[i] * RowSums[i]) / RowCount[i]);
|
||
|
|
RowsTotCnt := RowsTotCnt + RowCount[i];
|
||
|
|
end;
|
||
|
|
for j := 0 to NoGrpsB-1 do
|
||
|
|
begin
|
||
|
|
SSF2 := SSF2 + ((ColSums[j] * ColSums[j]) / ColCount[j]);
|
||
|
|
ColsTotCnt := ColsTotCnt + ColCount[j];
|
||
|
|
end;
|
||
|
|
for i := 0 to NoGrpsA-1 do
|
||
|
|
begin
|
||
|
|
for j := 0 to NoGrpsB-1 do
|
||
|
|
if counts[i,j] > 0 then
|
||
|
|
SSCells := SSCells + ((sums[i,j] * sums[i,j]) / counts[i,j]);
|
||
|
|
end;
|
||
|
|
if N > 0 then Constant := (MeanDep * MeanDep) / N else Constant := 0.0;
|
||
|
|
SSF1 := SSF1 - Constant;
|
||
|
|
SSF2 := SSF2 - Constant;
|
||
|
|
SSF1F2 := SSCells - SSF1 - SSF2 - Constant;
|
||
|
|
SSErr := SSDep - SSCells;
|
||
|
|
SSDep := SSDep - Constant;
|
||
|
|
|
||
|
|
|
||
|
|
if (SSF1F2 < 0) or (SSF1 < 0) or (SSF2 < 0) then
|
||
|
|
begin
|
||
|
|
ShowMessage('ERROR! A negative SS found. Unbalanced design? Ending analysis.');
|
||
|
|
CompError := true;
|
||
|
|
exit;
|
||
|
|
end;
|
||
|
|
DFTot := N - 1;
|
||
|
|
DFF1 := NoGrpsA - 1;
|
||
|
|
DFF2 := NoGrpsB - 1;
|
||
|
|
DFF1F2 := DFF1 * DFF2;
|
||
|
|
DFErr := DFTot - DFF1 - DFF2 - DFF1F2;
|
||
|
|
// DFCells := N - (NoGrpsA * NoGrpsB);
|
||
|
|
MSF1 := SSF1 / DFF1;
|
||
|
|
MSF2 := SSF2 / DFF2;
|
||
|
|
MSF1F2 := SSF1F2 / DFF1F2;
|
||
|
|
MSErr := SSErr / DFErr;
|
||
|
|
MSDep := SSDep / DFTot;
|
||
|
|
OmegaF1 := (SSF1 - DFF1 * MSErr) / (SSDep + MSErr);
|
||
|
|
OmegaF2 := (SSF2 - DFF2 * MSErr) / (SSDep + MSErr);
|
||
|
|
OmegaF1F2 := (SSF1F2 - DFF1F2 * MSErr) / (SSDep + MSErr);
|
||
|
|
Omega := OmegaF1 + OmegaF2 + OmegaF1F2;
|
||
|
|
MeanDep := MeanDep / N;
|
||
|
|
// f tests for fixed effects
|
||
|
|
if (Fact1Grp.ItemIndex = 0) and (Fact2Grp.ItemIndex = 0) then
|
||
|
|
begin
|
||
|
|
FF1 := abs(MSF1 / MSErr);
|
||
|
|
FF2 := abs(MSF2 / MSErr);
|
||
|
|
FF1F2 := abs(MSF1F2 / MSErr);
|
||
|
|
ProbF1 := probf(FF1,DFF1,DFErr);
|
||
|
|
ProbF2 := probf(FF2,DFF2,DFErr);
|
||
|
|
ProbF1F2 := probf(FF1F2,DFF1F2,DFErr);
|
||
|
|
end;
|
||
|
|
// f tests if both factors are random
|
||
|
|
if (Fact1Grp.ItemIndex = 1) and (Fact2Grp.ItemIndex = 1) then
|
||
|
|
begin
|
||
|
|
FF1 := abs(MSF1 / MSF1F2);
|
||
|
|
FF2 := abs(MSF2 / MSF1F2);
|
||
|
|
FF1F2 := abs(MSF1F2 / MSErr);
|
||
|
|
ProbF1 := probf(FF1,DFF1,DFF1F2);
|
||
|
|
ProbF2 := probf(FF2,DFF2,DFF1F2);
|
||
|
|
ProbF3 := probf(FF1F2,DFF1F2,DFErr);
|
||
|
|
end;
|
||
|
|
// f test if factor A is random
|
||
|
|
if (Fact1Grp.ItemIndex = 1) and (Fact2Grp.ItemIndex = 0) then
|
||
|
|
begin
|
||
|
|
FF1 := abs(MSF1 / MSErr);
|
||
|
|
FF2 := abs(MSF2 / MSF1F2);
|
||
|
|
FF1F2 := abs(MSF1F2 / MSErr);
|
||
|
|
ProbF1 := probf(FF1,DFF1,DFErr);
|
||
|
|
ProbF2 := probf(FF2,DFF2,DFF1F2);
|
||
|
|
ProbF3 := probf(FF1F2,DFF1F2,DFErr);
|
||
|
|
end;
|
||
|
|
// f test if factor b is random
|
||
|
|
if (Fact1Grp.ItemIndex = 0) and (Fact2Grp.ItemIndex = 1) then
|
||
|
|
begin
|
||
|
|
FF1 := abs(MSF1 / MSF1F2);
|
||
|
|
FF2 := abs(MSF2 / MSErr);
|
||
|
|
FF1F2 := abs(MSF1F2 / MSErr);
|
||
|
|
ProbF1 := probf(FF1,DFF1,DFF1F2);
|
||
|
|
ProbF2 := probf(FF2,DFF2,DFErr);
|
||
|
|
ProbF3 := probf(FF1F2,DFF1F2,DFErr);
|
||
|
|
end;
|
||
|
|
if (ProbF1 > 1.0) then ProbF1 := 1.0;
|
||
|
|
if (ProbF2 > 1.0) then ProbF2 := 1.0;
|
||
|
|
if (ProbF1F2 > 1.0) then ProbF1F2 := 1.0;
|
||
|
|
|
||
|
|
// Obtain omega squared (proportion of dependent variable explained)
|
||
|
|
if (OmegaF1 < 0.0) then OmegaF1 := 0.0;
|
||
|
|
if (OmegaF2 < 0.0) then OmegaF2 := 0.0;
|
||
|
|
if (OmegaF1F2 < 0.0) then OmegaF1F2 := 0.0;
|
||
|
|
//Omega = ( (SSF1 + SSF2 + SSF1F2) - (DFF1 + DFF2 + DFF1F2) * MSErr) / (SSDep + MSErr);
|
||
|
|
if (Omega < 0.0) then Omega := 0.0;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.TwoWayTable(Sender: TObject);
|
||
|
|
var
|
||
|
|
groupsize : integer;
|
||
|
|
MinVar, MaxVar, sumvars, sumDFrecip : double;
|
||
|
|
i, j : integer;
|
||
|
|
XBar, V, S, RowSS, ColSS : double;
|
||
|
|
sumfreqlogvar, c, bartlett, cochran, hartley, chiprob : double;
|
||
|
|
|
||
|
|
begin
|
||
|
|
If CompError then exit;
|
||
|
|
OutPutFrm.RichEdit.Clear;
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Two Way Analysis of Variance');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
outline := format('Variable analyzed: %s',[DepVar.Text]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
outline := format('Factor A (rows) variable: %s',[Factor1.Text]);
|
||
|
|
if Fact1Grp.ItemIndex = 0 then outline := outline + ' (Fixed Levels)'
|
||
|
|
else outline := outline + ' (Random Levels)';
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Factor B (columns) variable: %s',[Factor2.Text]);
|
||
|
|
if Fact2Grp.ItemIndex = 0 then outline := outline + ' (Fixed Levels)'
|
||
|
|
else outline := outline + ' (Random Levels)';
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('SOURCE D.F. SS MS F PROB.> F Omega Squared');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
outline := format('Among Rows %4.0f %8.3f %8.3f %8.3f %6.3f %6.3f',
|
||
|
|
[DFF1,SSF1,MSF1,FF1,ProbF1,OmegaF1]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Among Columns %4.0f %8.3f %8.3f %8.3f %6.3f %6.3f',
|
||
|
|
[DFF2,SSF2,MSF2,FF2,ProbF2,OmegaF2]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Interaction %4.0f %8.3f %8.3f %8.3f %6.3f %6.3f',
|
||
|
|
[DFF1F2,SSF1F2,MSF1F2,FF1F2,ProbF1F2,OmegaF1F2]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Within Groups %4.0f %8.3f %8.3f',
|
||
|
|
[DFErr,SSErr,MSErr]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Total %4.0f %8.3f %8.3f',
|
||
|
|
[DFTot,SSDep,MSDep]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
outline := format('Omega squared for combined effects = %8.3f',[Omega]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
if (Fact1Grp.ItemIndex = 0) and (Fact2Grp.ItemIndex = 0) then
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Denominator of F ratio is MSErr');
|
||
|
|
if (Fact1Grp.ItemIndex = 1) and (Fact2Grp.ItemIndex = 1) then
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Denominator of F ratio is MSAxB');
|
||
|
|
if (Fact1Grp.ItemIndex = 0) and (Fact2Grp.ItemIndex = 1) then
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Denominator of F ratio for A is MSAxB');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('and denominator for B and AxB is MSErr');
|
||
|
|
end;
|
||
|
|
if (Fact1Grp.ItemIndex = 1) and (Fact2Grp.ItemIndex = 0) then
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Denominator of F ratio for B is MSAxB');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('and denominator for A and AxB is MSErr');
|
||
|
|
end;
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Descriptive Statistics');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('GROUP Row Col. N MEAN VARIANCE STD.DEV.');
|
||
|
|
groupsize := round(counts[0,0]);
|
||
|
|
equal_grp := true;
|
||
|
|
MaxVar := 0.0;
|
||
|
|
MinVar := 1e20;
|
||
|
|
sumvars := 0.0;
|
||
|
|
sumfreqlogvar := 0.0;
|
||
|
|
sumDFrecip := 0.0;
|
||
|
|
|
||
|
|
// Display cell means, variances, standard deviations
|
||
|
|
V := 0.0;
|
||
|
|
XBar := 0.0;
|
||
|
|
S := 0.0;
|
||
|
|
for i := 0 to NoGrpsA-1 do
|
||
|
|
begin
|
||
|
|
for j := 0 to NoGrpsB-1 do
|
||
|
|
begin
|
||
|
|
if counts[i,j] > 1 then
|
||
|
|
begin
|
||
|
|
XBar := sums[i,j] / counts[i,j];
|
||
|
|
V := vars[i,j] - ( (sums[i,j] * sums[i,j]) / counts[i,j]);
|
||
|
|
V := V / (counts[i,j] - 1.0);
|
||
|
|
S := sqrt(V);
|
||
|
|
sumvars := sumvars + V;
|
||
|
|
if V > MaxVar then MaxVar := V;
|
||
|
|
if V < MinVar then MinVar := V;
|
||
|
|
sumDFrecip := sumDFrecip + (1.0 / (counts[i,j] - 1.0));
|
||
|
|
sumfreqlogvar := sumfreqlogvar + ((counts[i,j] - 1.0) * ln(V));
|
||
|
|
if counts[i,j] <> groupsize then equal_grp := false;
|
||
|
|
end;
|
||
|
|
outline := format('Cell %3d %3d %3.0f %8.3f %8.3f %8.3f',
|
||
|
|
[minf1+i,minf2+j,counts[i,j],XBar,V,S]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
|
||
|
|
//Display Row means, variances, standard deviations
|
||
|
|
for i := 0 to NoGrpsA-1 do
|
||
|
|
begin
|
||
|
|
XBar := RowSums[i] / RowCount[i];
|
||
|
|
OrdMeansA[i] := XBar;
|
||
|
|
RowSS := 0.0;
|
||
|
|
for j := 0 to NoGrpsB-1 do RowSS := RowSS + vars[i,j];
|
||
|
|
V := RowSS - (RowSums[i] * RowSums[i] / RowCount[i]);
|
||
|
|
V := V / (RowCount[i] - 1.0);
|
||
|
|
S := sqrt(V);
|
||
|
|
outline := format('Row %3d %3.0f %8.3f %8.3f %8.3f',
|
||
|
|
[minf1+i,RowCount[i],XBar,V,S]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
end;
|
||
|
|
|
||
|
|
//Display means, variances and standard deviations for columns
|
||
|
|
for j := 0 to NoGrpsB-1 do
|
||
|
|
begin
|
||
|
|
XBar := ColSums[j] / ColCount[j];
|
||
|
|
OrdMeansB[j] := XBar;
|
||
|
|
ColSS := 0.0;
|
||
|
|
for i := 0 to NoGrpsA-1 do ColSS := ColSS + vars[i,j];
|
||
|
|
if ColCount[j] > 0 then V := ColSS - (ColSums[j] * ColSums[j] / ColCount[j]);
|
||
|
|
if ColCount[j] > 1 then V := V / (ColCount[j] - 1.0);
|
||
|
|
if V > 0.0 then S := sqrt(V);
|
||
|
|
outline := format('Col %3d %3.0f %8.3f %8.3f %8.3f',
|
||
|
|
[minf2+j,ColCount[j],XBar,V,S]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
end;
|
||
|
|
|
||
|
|
outline := format('TOTAL %3d %8.3f %8.3f %8.3f',
|
||
|
|
[N,MeanDep,MSDep,sqrt(MSDep)]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
c := 1.0 + (1.0 / (3.0 * NoGrpsA * NoGrpsB - 1.0)) * (sumDFrecip - (1.0 / DFErr));
|
||
|
|
bartlett := (2.303 / c) * ((DFErr * ln(MSErr)) - sumfreqlogvar);
|
||
|
|
chiprob := 1.0 - chisquaredprob(bartlett,round(NoGrpsA * NoGrpsB - 1));
|
||
|
|
cochran := maxvar / sumvars;
|
||
|
|
hartley := maxvar / minvar;
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('TESTS FOR HOMOGENEITY OF VARIANCE');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
outline := format('Hartley Fmax test statistic = %10.2f with deg.s freedom: %d and %d.',
|
||
|
|
[hartley, (NoGrpsA*NoGrpsB),(groupsize-1) ]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Cochran C statistic = %10.2f with deg.s freedom: %d and %d.',
|
||
|
|
[cochran, (NoGrpsA*NoGrpsB), (groupsize - 1)]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Bartlett Chi-square statistic = %10.2f with %4d D.F. Prob. larger value = %6.3f',
|
||
|
|
[bartlett, (NoGrpsA*NoGrpsB - 1), chiprob]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.TwoWayPlot(Sender: TObject);
|
||
|
|
var
|
||
|
|
i, j : integer;
|
||
|
|
maxmean, XBar : double;
|
||
|
|
XValue : DblDyneVec;
|
||
|
|
title : string;
|
||
|
|
plottype : integer;
|
||
|
|
setstring : string[11];
|
||
|
|
|
||
|
|
begin
|
||
|
|
if CompError then exit;
|
||
|
|
SetLength(XValue,Nf1cells+Nf2cells);
|
||
|
|
plottype := 2;
|
||
|
|
if PlotMeans.Checked then plottype := 2;
|
||
|
|
if Plot2DLines.Checked then plottype := 5;
|
||
|
|
if Plot3DLines.Checked then plottype := 6;
|
||
|
|
|
||
|
|
// do Factor A first
|
||
|
|
setstring := 'FACTOR A';
|
||
|
|
GraphFrm.SetLabels[1] := setstring;
|
||
|
|
maxmean := 0.0;
|
||
|
|
SetLength(GraphFrm.Xpoints,1,NF1cells);
|
||
|
|
SetLength(GraphFrm.Ypoints,1,NF1cells);
|
||
|
|
for i := 1 to NF1cells do
|
||
|
|
begin
|
||
|
|
RowSums[i-1] := RowSums[i-1] / RowCount[i-1];
|
||
|
|
GraphFrm.Ypoints[0,i-1] := RowSums[i-1];
|
||
|
|
if RowSums[i-1] > maxmean then maxmean := RowSums[i-1];
|
||
|
|
XValue[i-1] := minF1 + i - 1;
|
||
|
|
GraphFrm.Xpoints[0,i-1] := XValue[i-1];
|
||
|
|
end;
|
||
|
|
GraphFrm.nosets := 1;
|
||
|
|
GraphFrm.nbars := NF1cells;
|
||
|
|
GraphFrm.Heading := Factor1.Text;
|
||
|
|
title := Factor1.Text + ' Codes';
|
||
|
|
GraphFrm.XTitle := title;
|
||
|
|
GraphFrm.YTitle := 'Mean';
|
||
|
|
GraphFrm.barwideprop := 0.5;
|
||
|
|
GraphFrm.AutoScale := false;
|
||
|
|
GraphFrm.miny := 0.0;
|
||
|
|
GraphFrm.maxy := maxmean;
|
||
|
|
GraphFrm.GraphType := plottype;
|
||
|
|
GraphFrm.BackColor := clYellow;
|
||
|
|
GraphFrm.WallColor := clBlack;
|
||
|
|
GraphFrm.FloorColor := clLtGray;
|
||
|
|
GraphFrm.ShowBackWall := true;
|
||
|
|
GraphFrm.ShowModal;
|
||
|
|
// do Factor B next
|
||
|
|
setstring := 'FACTOR B';
|
||
|
|
GraphFrm.SetLabels[1] := setstring;
|
||
|
|
maxmean := 0.0;
|
||
|
|
SetLength(GraphFrm.Xpoints,1,NF2cells);
|
||
|
|
SetLength(GraphFrm.Ypoints,1,NF2cells);
|
||
|
|
for i := 1 to NF2cells do
|
||
|
|
begin
|
||
|
|
ColSums[i-1] := ColSums[i-1] / ColCount[i-1];
|
||
|
|
GraphFrm.Ypoints[0,i-1] := ColSums[i-1];
|
||
|
|
if ColSums[i-1] > maxmean then maxmean := ColSums[i-1];
|
||
|
|
XValue[i-1] := minF1 + i - 1;
|
||
|
|
GraphFrm.Xpoints[0,i-1] := XValue[i-1];
|
||
|
|
end;
|
||
|
|
GraphFrm.nosets := 1;
|
||
|
|
GraphFrm.nbars := NF2cells;
|
||
|
|
GraphFrm.Heading := Factor2.Text;
|
||
|
|
title := Factor2.Text + ' Codes';
|
||
|
|
GraphFrm.XTitle := title;
|
||
|
|
GraphFrm.YTitle := 'Mean';
|
||
|
|
GraphFrm.barwideprop := 0.5;
|
||
|
|
GraphFrm.AutoScale := false;
|
||
|
|
GraphFrm.miny := 0.0;
|
||
|
|
GraphFrm.maxy := maxmean;
|
||
|
|
GraphFrm.GraphType := plottype;
|
||
|
|
GraphFrm.BackColor := clYellow;
|
||
|
|
GraphFrm.WallColor := clBlack;
|
||
|
|
GraphFrm.FloorColor := clLtGray;
|
||
|
|
GraphFrm.ShowBackWall := true;
|
||
|
|
GraphFrm.ShowModal;
|
||
|
|
|
||
|
|
// do Factor A x B Interaction next
|
||
|
|
maxmean := 0.0;
|
||
|
|
SetLength(GraphFrm.Ypoints,NF1cells,NF2cells);
|
||
|
|
SetLength(GraphFrm.Xpoints,1,NF2cells);
|
||
|
|
for i := 1 to NF1cells do
|
||
|
|
begin
|
||
|
|
setstring := Factor1.Text + ' ' + IntToStr(i);
|
||
|
|
GraphFrm.SetLabels[i] := setstring;
|
||
|
|
for j := 1 to NF2cells do
|
||
|
|
begin
|
||
|
|
XBar := sums[i-1,j-1] / counts[i-1,j-1];
|
||
|
|
if XBar > maxmean then maxmean := XBar;
|
||
|
|
GraphFrm.Ypoints[i-1,j-1] := XBar;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
for j := 1 to NF2cells do
|
||
|
|
begin
|
||
|
|
XValue[j-1] := minF2 + j - 1;
|
||
|
|
GraphFrm.Xpoints[0,j-1] := XValue[j-1];
|
||
|
|
end;
|
||
|
|
|
||
|
|
GraphFrm.nosets := NF1cells;
|
||
|
|
GraphFrm.nbars := NF2cells;
|
||
|
|
GraphFrm.Heading := 'Factor A x Factor B';
|
||
|
|
title := Factor2.Text + ' Codes';
|
||
|
|
GraphFrm.XTitle := title;
|
||
|
|
GraphFrm.YTitle := 'Mean';
|
||
|
|
GraphFrm.barwideprop := 0.5;
|
||
|
|
GraphFrm.AutoScale := false;
|
||
|
|
GraphFrm.miny := 0.0;
|
||
|
|
GraphFrm.maxy := maxmean;
|
||
|
|
GraphFrm.GraphType := plottype;
|
||
|
|
GraphFrm.BackColor := clYellow;
|
||
|
|
GraphFrm.WallColor := clBlack;
|
||
|
|
GraphFrm.FloorColor := clLtGray;
|
||
|
|
GraphFrm.ShowBackWall := true;
|
||
|
|
GraphFrm.ShowModal;
|
||
|
|
XValue := nil;
|
||
|
|
GraphFrm.Xpoints := nil;
|
||
|
|
GraphFrm.Ypoints := nil;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.Calc3Way(Sender: TObject);
|
||
|
|
var
|
||
|
|
i, j, k : integer;
|
||
|
|
grpA, grpB, grpC : integer;
|
||
|
|
Constant, RowsTotCnt, ColsTotCnt, SlcsTotCnt, SSCells : double;
|
||
|
|
p, n2 : double;
|
||
|
|
|
||
|
|
begin
|
||
|
|
CompError := false;
|
||
|
|
// initialize matrix values
|
||
|
|
NoGrpsA := maxf1 - minf1 + 1;
|
||
|
|
NoGrpsB := maxf2 - minf2 + 1;
|
||
|
|
NoGrpsC := maxf3 - minf3 + 1;
|
||
|
|
for i := 0 to NoGrpsA-1 do
|
||
|
|
begin
|
||
|
|
RowSums[i] := 0.0;
|
||
|
|
RowCount[i] := 0.0;
|
||
|
|
for j := 0 to NoGrpsB-1 do
|
||
|
|
begin
|
||
|
|
for k := 0 to NoGrpsC-1 do
|
||
|
|
begin
|
||
|
|
wsum[i,j,k] := 0.0;
|
||
|
|
ncnt[i,j,k] := 0;
|
||
|
|
wx2[i,j,k] := 0.0;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
for i := 0 to NoGrpsB-1 do
|
||
|
|
begin
|
||
|
|
ColCount[i] := 0.0;
|
||
|
|
ColSums[i] := 0.0;
|
||
|
|
end;
|
||
|
|
for i := 0 to NoGrpsC-1 do
|
||
|
|
begin
|
||
|
|
SlcCount[i] := 0.0;
|
||
|
|
SlcSums[i] := 0.0;
|
||
|
|
end;
|
||
|
|
N := 0;
|
||
|
|
MeanDep := 0.0;
|
||
|
|
SSDep := 0.0;
|
||
|
|
RowsTotCnt := 0.0;
|
||
|
|
ColsTotCnt := 0.0;
|
||
|
|
SlcsTotCnt := 0.0;
|
||
|
|
SSF1 := 0.0;
|
||
|
|
SSF2 := 0.0;
|
||
|
|
SSF3 := 0.0;
|
||
|
|
SSF1F2 := 0.0;
|
||
|
|
SSF1F3 := 0.0;
|
||
|
|
SSF2F3 := 0.0;
|
||
|
|
SSF1F2F3 := 0.0;
|
||
|
|
SSCells := 0.0;
|
||
|
|
|
||
|
|
// get working totals
|
||
|
|
for i := 1 to NoCases do
|
||
|
|
begin
|
||
|
|
if not GoodRecord(i,NoSelected,ColNoSelected) then continue;
|
||
|
|
grpA := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[F1Col,i])));
|
||
|
|
grpB := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[F2Col,i])));
|
||
|
|
grpC := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[F3Col,i])));
|
||
|
|
X := StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[DepVarCol,i]));
|
||
|
|
grpA := grpA - minf1 + 1;
|
||
|
|
grpB := grpB - minf2 + 1;
|
||
|
|
grpC := grpC - minf3 + 1;
|
||
|
|
ncnt[grpA-1,grpB-1,grpC-1] := ncnt[grpA-1,grpB-1,grpC-1] + 1;
|
||
|
|
wsum[grpA-1,grpB-1,grpC-1] := wsum[grpA-1,grpB-1,grpc-1] + X;
|
||
|
|
wx2[grpA-1,grpB-1,grpC-1] := wx2[grpA-1,grpB-1,grpC-1] + (X * X);
|
||
|
|
RowSums[GrpA-1] := RowSums[GrpA-1] + X;
|
||
|
|
ColSums[GrpB-1] := ColSums[GrpB-1] + X;
|
||
|
|
SlcSums[GrpC-1] := SlcSums[GrpC-1] + X;
|
||
|
|
RowCount[GrpA-1] := RowCount[GrpA-1] + 1.0;
|
||
|
|
ColCount[GrpB-1] := ColCount[GrpB-1] + 1.0;
|
||
|
|
SlcCount[GrpC-1] := SlcCount[GrpC-1] + 1.0;
|
||
|
|
MeanDep := MeanDep + X;
|
||
|
|
SSDep := SSDep + (X * X);
|
||
|
|
N := N + 1;
|
||
|
|
end;
|
||
|
|
|
||
|
|
// Calculate results
|
||
|
|
Constant := (MeanDep * MeanDep) / N;
|
||
|
|
// get ss for rows
|
||
|
|
for i := 0 to NoGrpsA-1 do
|
||
|
|
begin
|
||
|
|
SSF1 := SSF1 + ((RowSums[i] * RowSums[i]) / RowCount[i]);
|
||
|
|
RowsTotCnt := RowsTotCnt + RowCount[i];
|
||
|
|
end;
|
||
|
|
SSF1 := SSF1 - Constant;
|
||
|
|
|
||
|
|
// get ss for columns
|
||
|
|
for j := 0 to NoGrpsB-1 do
|
||
|
|
begin
|
||
|
|
SSF2 := SSF2 + ((ColSums[j] * ColSums[j]) / ColCount[j]);
|
||
|
|
ColsTotCnt := ColsTotCnt + ColCount[j];
|
||
|
|
end;
|
||
|
|
SSF2 := SSF2 - Constant;
|
||
|
|
|
||
|
|
// get ss for slices
|
||
|
|
for k := 0 to NoGrpsC-1 do
|
||
|
|
begin
|
||
|
|
SSF3 := SSF3 + ((SlcSums[k] * SlcSums[k]) / SlcCount[k]);
|
||
|
|
SlcsTotCnt := SlcsTotCnt + SlcCount[k];
|
||
|
|
end;
|
||
|
|
SSF3 := SSF3 - Constant;
|
||
|
|
|
||
|
|
// get ss for row x col interaction
|
||
|
|
p := 0.0;
|
||
|
|
n2 := 0.0;
|
||
|
|
for i := 0 to NoGrpsA-1 do
|
||
|
|
begin
|
||
|
|
for j := 0 to NoGrpsB-1 do
|
||
|
|
begin
|
||
|
|
for k := 0 to NoGrpsC-1 do
|
||
|
|
begin
|
||
|
|
p := p + wsum[i,j,k];
|
||
|
|
n2 := n2 + ncnt[i,j,k];
|
||
|
|
end;
|
||
|
|
SSF1F2 := SSF1F2 + ((p * p) / n2);
|
||
|
|
p := 0.0;
|
||
|
|
n2 := 0.0;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
SSF1F2 := SSF1F2 - SSF1 - SSF2 - Constant;
|
||
|
|
|
||
|
|
// get ss for row x slice interaction
|
||
|
|
for i := 0 to NoGrpsA-1 do
|
||
|
|
begin
|
||
|
|
for k := 0 to NoGrpsC-1 do
|
||
|
|
begin
|
||
|
|
for j := 0 to NoGrpsB-1 do
|
||
|
|
begin
|
||
|
|
p := p + wsum[i,j,k];
|
||
|
|
n2 := n2 + ncnt[i,j,k];
|
||
|
|
end;
|
||
|
|
SSF1F3 := SSF1F3 + ((p * p) / n2);
|
||
|
|
p := 0.0;
|
||
|
|
n2 := 0.0;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
SSF1F3 := SSF1F3 - SSF1 - SSF3 - Constant;
|
||
|
|
|
||
|
|
// get ss for columns x slices interaction
|
||
|
|
for j := 0 to NoGrpsB-1 do
|
||
|
|
begin
|
||
|
|
for k := 0 to NoGrpsC-1 do
|
||
|
|
begin
|
||
|
|
for i := 0 to NoGrpsA-1 do
|
||
|
|
begin
|
||
|
|
p := p + wsum[i,j,k];
|
||
|
|
n2 := n2 + ncnt[i,j,k];
|
||
|
|
end;
|
||
|
|
SSF2F3 := SSF2F3 + ((p * p) / n2);
|
||
|
|
p := 0.0;
|
||
|
|
n2 := 0.0;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
SSF2F3 := SSF2F3 - SSF2 - SSF3 - Constant;
|
||
|
|
|
||
|
|
// get ss for cells
|
||
|
|
for i := 0 to NoGrpsA-1 do
|
||
|
|
for j := 0 to NoGrpsB-1 do
|
||
|
|
for k := 0 to NoGrpsC-1 do
|
||
|
|
SSCells := SSCells + ((wsum[i,j,k] * wsum[i,j,k]) / ncnt[i,j,k]);
|
||
|
|
|
||
|
|
SSF1F2F3 := SSCells - SSF1 - SSF2 - SSF3 - SSF1F2 - SSF1F3 - SSF2F3 - Constant;
|
||
|
|
SSErr := SSDep - SSCells;
|
||
|
|
SSDep := SSDep - Constant;
|
||
|
|
|
||
|
|
if (SSF1 < 0.0) or (SSF2 < 0.0) or (SSF3 < 0.0) or (SSF1F2 < 0.0) or
|
||
|
|
(SSF1F3 < 0.0) or (SSF2F3 < 0.0) or (SSF1F2F3 < 0.0) then
|
||
|
|
begin
|
||
|
|
ShowMessage('ERROR! A negative SS found. Unbalanced Design? Ending analysis.');
|
||
|
|
CompError := true;
|
||
|
|
exit;
|
||
|
|
end;
|
||
|
|
DFTot := N - 1;
|
||
|
|
DFF1 := NoGrpsA - 1;
|
||
|
|
DFF2 := NoGrpsB - 1;
|
||
|
|
DFF3 := NoGrpsC - 1;
|
||
|
|
DFF1F2 := DFF1 * DFF2;
|
||
|
|
DFF1F3 := DFF1 * DFF3;
|
||
|
|
DFF2F3 := DFF2 * DFF3;
|
||
|
|
DFF1F2F3 := DFF1 * DFF2 * DFF3;
|
||
|
|
DFErr := DFTot - DFF1 - DFF2 - DFF3 - DFF1F2 - DFF1F3 - DFF2F3 - DFF1F2F3;
|
||
|
|
// DFCells := N - (NoGrpsA * NoGrpsB * NoGrpsC);
|
||
|
|
MSF1 := SSF1 / DFF1;
|
||
|
|
MSF2 := SSF2 / DFF2;
|
||
|
|
MSF3 := SSF3 / DFF3;
|
||
|
|
MSF1F2 := SSF1F2 / DFF1F2;
|
||
|
|
MSF1F3 := SSF1F3 / DFF1F3;
|
||
|
|
MSF2F3 := SSF2F3 / DFF2F3;
|
||
|
|
MSF1F2F3 := SSF1F2F3 / DFF1F2F3;
|
||
|
|
MSErr := SSErr / DFErr;
|
||
|
|
MSDep := SSDep / DFTot;
|
||
|
|
OmegaF1 := (SSF1 - DFF1 * MSErr) / (SSDep + MSErr);
|
||
|
|
OmegaF2 := (SSF2 - DFF2 * MSErr) / (SSDep + MSErr);
|
||
|
|
OmegaF3 := (SSF3 - DFF3 * MSErr) / (SSDep + MSErr);
|
||
|
|
OmegaF1F2 := (SSF1F2 - DFF1F2 * MSErr) / (SSDep + MSErr);
|
||
|
|
OmegaF1F3 := (SSF1F3 - DFF1F3 * MSErr) / (SSDep + MSErr);
|
||
|
|
OmegaF2F3 := (SSF2F3 - DFF2F3 * MSErr) / (SSDep + MSErr);
|
||
|
|
OmegaF1F2F3 := (SSF1F2F3 - DFF1F2F3 * MSErr) / (SSDep + MSErr);
|
||
|
|
Omega := OmegaF1 + OmegaF2 + OmegaF3 + OmegaF1F2 + OmegaF1F3 +
|
||
|
|
OmegaF2F3 + OmegaF1F2F3;
|
||
|
|
MeanDep := MeanDep / N;
|
||
|
|
|
||
|
|
// f tests for fixed effects
|
||
|
|
if (Fact1Grp.ItemIndex = 0) and (Fact2Grp.ItemIndex = 0) and
|
||
|
|
(Fact3Grp.ItemIndex = 0) then
|
||
|
|
begin
|
||
|
|
FF1 := abs(MSF1 / MSErr);
|
||
|
|
FF2 := abs(MSF2 / MSErr);
|
||
|
|
FF3 := abs(MSF3 / MSErr);
|
||
|
|
FF1F2 := abs(MSF1F2 / MSErr);
|
||
|
|
FF1F3 := abs(MSF1F3 / MSErr);
|
||
|
|
FF2F3 := abs(MSF2F3 / MSErr);
|
||
|
|
FF1F2F3 := abs(MSF1F2F3 / MSErr);
|
||
|
|
ProbF1 := probf(FF1,DFF1,DFErr);
|
||
|
|
ProbF2 := probf(FF2,DFF2,DFErr);
|
||
|
|
ProbF3 := probf(FF3,DFF3,DFErr);
|
||
|
|
ProbF1F2 := probf(FF1F2,DFF1F2,DFErr);
|
||
|
|
ProbF1F3 := probf(FF1F3,DFF1F3,DFErr);
|
||
|
|
ProbF2F3 := probf(FF2F3,DFF2F3,DFErr);
|
||
|
|
ProbF1F2F3 := probf(FF1F2F3,DFF1F2F3,DFErr);
|
||
|
|
end;
|
||
|
|
|
||
|
|
// f tests if all factors are random
|
||
|
|
for i := 1 to 14 do OKterms[i] := 1; // initialize as OK
|
||
|
|
if (Fact1Grp.ItemIndex = 1) and (Fact2Grp.ItemIndex = 1) and
|
||
|
|
(Fact3Grp.ItemIndex = 1) then
|
||
|
|
begin
|
||
|
|
if (MSF1F2 + MSF1F3 - MSF1F2F3) < 0.0 then OKTerms[1] := 0 else
|
||
|
|
FF1 := abs(MSF1 / (MSF1F2 + MSF1F3 - MSF1F2F3));
|
||
|
|
if (MSF1F2 + MSF2F3 - MSF1F2F3) < 0.0 then OKTerms[2] := 0 else
|
||
|
|
FF2 := abs(MSF2 / (MSF1F2 + MSF2F3 - MSF1F2F3));
|
||
|
|
if (MSF1F3 + MSF2F3 - MSF1F2F3) < 0.0 then OKTerms[3] := 0 else
|
||
|
|
FF3 := abs(MSF3 / (MSF1F3 + MSF2F3 - MSF1F2F3));
|
||
|
|
FF1F2 := abs(MSF1F2 / MSF1F2F3);
|
||
|
|
FF1F3 := abs(MSF1F3 / MSF1F2F3);
|
||
|
|
FF2F3 := abs(MSF2F3 / MSF1F2F3);
|
||
|
|
FF1F2F3 := abs(MSF1F2F3 / MSErr);
|
||
|
|
ProbF1 := probf(FF1,DFF1,DFF1F2F3);
|
||
|
|
ProbF2 := probf(FF2,DFF2,DFF1F2F3);
|
||
|
|
ProbF3 := probf(FF3,DFF3,DFF1F2F3);
|
||
|
|
ProbF1F2 := probf(FF1F2,DFF1F2,DFF1F2F3);
|
||
|
|
probF1F3 := probf(FF1F3,DFF1F3,DFF1F2F3);
|
||
|
|
probF2F3 := probf(FF2F3,DFF2F3,DFF1F2F3);
|
||
|
|
probF1F2F3 := probf(FF1F2F3,DFF1F2F3,DFErr);
|
||
|
|
end;
|
||
|
|
|
||
|
|
// f test if factor A is random, B and C Fixed
|
||
|
|
if (Fact1Grp.ItemIndex = 1) and (Fact2Grp.ItemIndex = 0) and
|
||
|
|
(Fact3Grp.ItemIndex = 0) then
|
||
|
|
begin
|
||
|
|
FF1 := abs(MSF1 / MSErr);
|
||
|
|
FF2 := abs(MSF2 / MSF1F2);
|
||
|
|
FF3 := abs(MSF3 / MSF1F3);
|
||
|
|
FF1F2 := abs(MSF1F2 / MSErr);
|
||
|
|
FF1F3 := abs(MSF1F3 / MSErr);
|
||
|
|
FF2F3 := abs(MSF2F3 / MSF1F2F3);
|
||
|
|
FF1F2F3 := abs(MSF1F2F3 / MSErr);
|
||
|
|
ProbF1 := probf(FF1,DFF1,DFErr);
|
||
|
|
ProbF2 := probf(FF2,DFF2,DFF1F2);
|
||
|
|
ProbF3 := probf(FF3,DFF3,DFF1F3);
|
||
|
|
ProbF1F2 := probf(FF1F2,DFF1F2,DFErr);
|
||
|
|
ProbF1F3 := probf(FF1F3,DFF1F3,DFErr);
|
||
|
|
ProbF2F3 := probf(FF2F3,DFF2F3,DFF1F2F3);
|
||
|
|
ProbF1F2F3 := probf(FF1F2F3,DFF1F2F3,DFErr);
|
||
|
|
end;
|
||
|
|
|
||
|
|
// f test if factor b is random and A and C are Fixed
|
||
|
|
if (Fact1Grp.ItemIndex = 0) and (Fact2Grp.ItemIndex = 1) and
|
||
|
|
(Fact3Grp.ItemIndex = 0) then
|
||
|
|
begin
|
||
|
|
FF1 := abs(MSF1 / MSF1F2);
|
||
|
|
FF2 := abs(MSF2 / MSErr);
|
||
|
|
FF3 := abs(MSF3 / MSF2F3);
|
||
|
|
FF1F2 := abs(MSF1F2 / MSErr);
|
||
|
|
FF1F3 := abs(MSF1F3 / MSF1F2F3);
|
||
|
|
FF2F3 := abs(MSF2F3 / MSErr);
|
||
|
|
FF1F2F3 := abs(MSF1F2F3 / MSErr);
|
||
|
|
ProbF1 := probf(FF1,DFF1,DFF1F2);
|
||
|
|
ProbF2 := probf(FF2,DFF2,DFErr);
|
||
|
|
ProbF3 := probf(FF3,DFF3,DFF2F3);
|
||
|
|
ProbF1F2 := probf(FF1F2,DFF1F2,DFErr);
|
||
|
|
ProbF1F3 := probf(FF1F3,DFF1F3,DFF1F2F3);
|
||
|
|
ProbF2F3 := probf(FF2F3,DFF2F3,DFErr);
|
||
|
|
ProbF1F2F3 := probf(FF1F2F3,DFF1F2F3,DFErr);
|
||
|
|
end;
|
||
|
|
|
||
|
|
// f test if factor c is random and A and B are Fixed
|
||
|
|
if (Fact1Grp.ItemIndex = 0) and (Fact2Grp.ItemIndex = 0) and
|
||
|
|
(Fact3Grp.ItemIndex = 1) then
|
||
|
|
begin
|
||
|
|
FF1 := abs(MSF1 / MSF1F3);
|
||
|
|
FF2 := abs(MSF2 / MSF2F3);
|
||
|
|
FF3 := abs(MSF3 / MSErr);
|
||
|
|
FF1F2 := abs(MSF1F2 / MSF1F2F3);
|
||
|
|
FF1F3 := abs(MSF1F3 / MSErr);
|
||
|
|
FF2F3 := abs(MSF2F3 / MSErr);
|
||
|
|
FF1F2F3 := abs(MSF1F2F3 / MSErr);
|
||
|
|
ProbF1 := probf(FF1,DFF1,DFF1F3);
|
||
|
|
ProbF2 := probf(FF2,DFF2,DFF2F3);
|
||
|
|
ProbF3 := probf(FF3,DFF3,DFErr);
|
||
|
|
ProbF1F2 := probf(FF1F2,DFF1F2,DFF1F2F3);
|
||
|
|
ProbF1F3 := probf(FF1F3,DFF1F3,DFErr);
|
||
|
|
ProbF2F3 := probf(FF2F3,DFF2F3,DFErr);
|
||
|
|
ProbF1F2F3 := probf(FF1F2F3,DFF1F2F3,DFErr);
|
||
|
|
end;
|
||
|
|
|
||
|
|
// f tests if A is fixed, B and C are random
|
||
|
|
if (Fact1Grp.ItemIndex = 0) and (Fact2Grp.ItemIndex = 1) and
|
||
|
|
(Fact3Grp.ItemIndex = 1) then
|
||
|
|
begin
|
||
|
|
if (MSF1F3 + MSF1F2 - MSF1F2F3) < 0.0 then OKTerms[1] := 0 else
|
||
|
|
FF1 := abs(MSF1 / (MSF1F3 + MSF1F2 - MSF1F2F3));
|
||
|
|
FF2 := abs(MSF2 / MSF2F3);
|
||
|
|
FF3 := abs(MSF3 / MSF2F3);
|
||
|
|
FF1F2 := abs(MSF1F2 / MSF1F2F3);
|
||
|
|
FF1F3 := abs(MSF1F3 / MSF1F2F3);
|
||
|
|
FF2F3 := abs(MSF2F3 / MSErr);
|
||
|
|
FF1F2F3 := abs(MSF1F2F3 / MSErr);
|
||
|
|
if (DFF1F3 + DFF1F2 - DFF1F2F3) <= 0 then OKTerms[8] := 0 else
|
||
|
|
ProbF1 := probf(FF1,DFF1,(DFF1F3 + DFF1F2 - DFF1F2F3));
|
||
|
|
ProbF2 := probf(FF2,DFF2,DFF2F3);
|
||
|
|
ProbF3 := probf(FF3,DFF3,DFF2F3);
|
||
|
|
ProbF1F2 := probf(FF1F2,DFF1F2,DFF1F2F3);
|
||
|
|
ProbF1F3 := probf(FF1F3,DFF1F3,DFF1F2F3);
|
||
|
|
ProbF2F3 := probf(FF2F3,DFF2F3,DFErr);
|
||
|
|
ProbF1F2F3 := probf(FF1F2F3,DFF1F2F3,DFErr);
|
||
|
|
end;
|
||
|
|
// f tests if B is fixed, A and C are random
|
||
|
|
if (Fact1Grp.ItemIndex = 1) and (Fact2Grp.ItemIndex = 0) and
|
||
|
|
(Fact3Grp.ItemIndex = 1) then
|
||
|
|
begin
|
||
|
|
FF1 := abs(MSF2 / MSF1F3);
|
||
|
|
if (MSF2F3 + MSF1F2 - MSF1F2F3) <= 0.0 then OKTerms[2] := 0 else
|
||
|
|
FF2 := abs(MSF1 / (MSF2F3 + MSF1F2 - MSF1F2F3));
|
||
|
|
FF3 := abs(MSF3 / MSF1F3);
|
||
|
|
FF1F2 := abs(MSF1F2 / MSF1F2F3);
|
||
|
|
FF1F3 := abs(MSF1F3 / MSErr);
|
||
|
|
FF2F3 := abs(MSF2F3 / MSF1F2F3);
|
||
|
|
FF1F2F3 := abs(MSF1F2F3 / MSErr);
|
||
|
|
ProbF1 := probf(FF2,DFF2,DFF1F3);
|
||
|
|
if (DFF2F3 + DFF1F2 - DFF1F2F3) <= 0 then OKTerms[9] := 0 else
|
||
|
|
ProbF2 := probf(FF1,DFF1,(DFF2F3 + DFF1F2 - DFF1F2F3));
|
||
|
|
ProbF3 := probf(FF3,DFF3,DFF1F3);
|
||
|
|
ProbF1F2 := probf(FF1F2,DFF1F2,DFF1F2F3);
|
||
|
|
ProbF1F3 := probf(FF1F3,DFF1F3,DFErr);
|
||
|
|
ProbF2F3 := probf(FF2F3,DFF2F3,DFF1F2F3);
|
||
|
|
ProbF1F2F3 := probf(FF1F2F3,DFF1F2F3,DFErr);
|
||
|
|
end;
|
||
|
|
|
||
|
|
// f tests if C is fixed A and B are random
|
||
|
|
if (Fact1Grp.ItemIndex = 1) and (Fact2Grp.ItemIndex = 1) and
|
||
|
|
(Fact3Grp.ItemIndex = 0) then
|
||
|
|
begin
|
||
|
|
FF1 := abs(MSF1 / MSF1F2);
|
||
|
|
FF2 := abs(MSF2 / MSF1F2);
|
||
|
|
if (MSF2F3 + MSF1F3 - MSF1F2F3) <= 0.0 then OKTerms[3] := 0 else
|
||
|
|
FF3 := abs(MSF3 / (MSF2F3 + MSF1F3 - MSF1F2F3));
|
||
|
|
FF1F2 := abs(MSF2F3 / MSErr);
|
||
|
|
FF1F3 := abs(MSF1F2 / MSF1F2F3);
|
||
|
|
FF2F3 := abs(MSF1F3 / MSF1F2F3);
|
||
|
|
FF1F2F3 := abs(MSF1F2F3 / MSErr);
|
||
|
|
ProbF1 := probf(FF3,DFF3,DFF1F2);
|
||
|
|
ProbF2 := probf(FF2,DFF2,DFF1F2);
|
||
|
|
if (DFF2F3 + DFF1F3 - DFF1F2F3) <= 0 then OKTerms[10] := 0 else
|
||
|
|
ProbF3 := probf(FF1,DFF1,(DFF2F3 + DFF1F3 - DFF1F2F3));
|
||
|
|
ProbF1F2 := probf(FF2F3,DFF2F3,DFErr);
|
||
|
|
ProbF1F3 := probf(FF1F2,DFF1F2,DFF1F2F3);
|
||
|
|
ProbF2F3 := probf(FF1F3,DFF1F3,DFF1F2F3);
|
||
|
|
ProbF1F2F3 := probf(FF1F2F3,DFF1F2F3,DFErr);
|
||
|
|
end;
|
||
|
|
if (ProbF1 > 1.0) then ProbF1 := 1.0;
|
||
|
|
if (ProbF2 > 1.0) then ProbF2 := 1.0;
|
||
|
|
if ProbF3 > 1.0 then ProbF3 := 1.0;
|
||
|
|
if (ProbF1F2 > 1.0) then ProbF1F2 := 1.0;
|
||
|
|
if ProbF1F3 > 1.0 then ProbF1F3 := 1.0;
|
||
|
|
if ProbF2F3 > 1.0 then ProbF2F3 := 1.0;
|
||
|
|
if ProbF1F2F3 > 1.0 then ProbF1F2F3 := 1.0;
|
||
|
|
|
||
|
|
// Obtain omega squared (proportion of dependent variable explained)
|
||
|
|
if (OmegaF1 < 0.0) then OmegaF1 := 0.0;
|
||
|
|
if (OmegaF2 < 0.0) then OmegaF2 := 0.0;
|
||
|
|
if OmegaF3 < 0.0 then OmegaF3 := 0.0;
|
||
|
|
if (OmegaF1F2 < 0.0) then OmegaF1F2 := 0.0;
|
||
|
|
if OmegaF1F3 < 0.0 then OmegaF1F3 := 0.0;
|
||
|
|
if OmegaF2F3 < 0.0 then OmegaF2F3 := 0.0;
|
||
|
|
if OmegaF1F2F3 < 0.0 then OmegaF1F2F3 := 0.0;
|
||
|
|
if (Omega < 0.0) then Omega := 0.0;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.ThreeWayTable(Sender: TObject);
|
||
|
|
var
|
||
|
|
groupsize : integer;
|
||
|
|
MinVar, MaxVar, sumvars, sumDFrecip : double;
|
||
|
|
i, j, k : integer;
|
||
|
|
XBar, V, S, RowSS, ColSS, SlcSS : double;
|
||
|
|
sumfreqlogvar, c, bartlett, cochran, hartley, chiprob : double;
|
||
|
|
problem : boolean;
|
||
|
|
|
||
|
|
begin
|
||
|
|
If CompError then exit;
|
||
|
|
OutPutFrm.RichEdit.Clear;
|
||
|
|
problem := false;
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Three Way Analysis of Variance');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
outline := format('Variable analyzed: %s',[DepVar.Text]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
outline := format('Factor A (rows) variable: %s',[Factor1.Text]);
|
||
|
|
if Fact1Grp.ItemIndex = 0 then outline := outline + ' (Fixed Levels)'
|
||
|
|
else outline := outline + ' (Random Levels)';
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Factor B (columns) variable: %s',[Factor2.Text]);
|
||
|
|
if Fact2Grp.ItemIndex = 0 then outline := outline + ' (Fixed Levels)'
|
||
|
|
else outline := outline + ' (Random Levels)';
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Factor C (slices) variable: %s',[Factor3.Text]);
|
||
|
|
if Fact3Grp.ItemIndex = 0 then outline := outline + ' (Fixed Levels)'
|
||
|
|
else outline := outline + ' (Random Levels)';
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('SOURCE D.F. SS MS F PROB.> F Omega Squared');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
if (OKTerms[1] = 1) and (OKTerms[8] = 1) then
|
||
|
|
begin
|
||
|
|
outline := format('Among Rows %4.0f %10.3f %10.3f %10.3f %6.3f %6.3f',
|
||
|
|
[DFF1,SSF1,MSF1,FF1,ProbF1,OmegaF1]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
end
|
||
|
|
else begin
|
||
|
|
outline := format('Among Rows %4.0f %10.3f %10.3f --- error ---',
|
||
|
|
[DFF1, SSF1, MSF1 ]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
end;
|
||
|
|
if (OKTerms[2] = 1) and (OKTerms[9] = 1) then
|
||
|
|
begin
|
||
|
|
outline := format('Among Columns %4.0f %10.3f %10.3f %10.3f %6.3f %6.3f',
|
||
|
|
[DFF2,SSF2,MSF2,FF2,ProbF2,OmegaF2]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
end
|
||
|
|
else begin
|
||
|
|
outline := format('Among Columns %4.0f %10.3f %10.3f --- error ---',
|
||
|
|
[DFF2,SSF2,MSF2]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
end;
|
||
|
|
if (OKTerms[3] = 1) and (OKTerms[10] = 1) then
|
||
|
|
begin
|
||
|
|
outline := format('Among Slices %4.0f %10.3f %10.3f %10.3f %6.3f %6.3f',
|
||
|
|
[DFF3,SSF3,MSF3,FF3,ProbF3,OmegaF3]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
end
|
||
|
|
else begin
|
||
|
|
outline := format('Among Slices %4.0f %10.3f %10.3f --- error ---',
|
||
|
|
[DFF3,SSF3, MSF3]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
end;
|
||
|
|
outline := format('A x B Inter. %4.0f %10.3f %10.3f %10.3f %6.3f %6.3f',
|
||
|
|
[DFF1F2,SSF1F2,MSF1F2,FF1F2,ProbF1F2,OmegaF1F2]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('A x C Inter. %4.0f %10.3f %10.3f %10.3f %6.3f %6.3f',
|
||
|
|
[DFF1F3,SSF1F3,MSF1F3,FF1F3,ProbF1F3,OmegaF1F3]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('B x C Inter. %4.0f %10.3f %10.3f %10.3f %6.3f %6.3f',
|
||
|
|
[DFF2F3,SSF2F3,MSF2F3,FF2F3,ProbF2F3,OmegaF2F3]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('AxBxC Inter. %4.0f %10.3f %10.3f %10.3f %6.3f %6.3f',
|
||
|
|
[DFF1F2F3,SSF1F2F3,MSF1F2F3,FF1F2F3,ProbF1F2F3,OmegaF1F2F3]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Within Groups %4.0f %10.3f %10.3f',
|
||
|
|
[DFErr,SSErr,MSErr]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Total %4.0f %10.3f %10.3f',
|
||
|
|
[DFTot,SSDep,MSDep]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
outline := format('Omega squared for combined effects = %8.3f',[Omega]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
if (Fact1Grp.ItemIndex = 0) and (Fact2Grp.ItemIndex = 0) and
|
||
|
|
(Fact3Grp.ItemIndex = 0) then
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: MSErr denominator for all F ratios.');
|
||
|
|
if (Fact1Grp.ItemIndex = 1) and (Fact2Grp.ItemIndex = 1) and
|
||
|
|
(Fact3Grp.ItemIndex = 1) then
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for A is MSAxB + MSAxC - MSAxBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Error term for B is MSAxB + MSBxC - MSAxBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Error term for C is MSAxC + MSBxC - MSAxBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Error term for AxB, AxC and BxC is MSAxBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Error term for AxBxC is MSErr.');
|
||
|
|
end;
|
||
|
|
if (Fact1Grp.ItemIndex = 1) and (Fact2Grp.ItemIndex = 0) and
|
||
|
|
(Fact3Grp.ItemIndex = 0) then
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for A is MSErr');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for B is MSAxB');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for C is MSAxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for AxB is MSErr');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for AxC is MSErr');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for BxC is MSAxBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for AxBxC is MSErr');
|
||
|
|
end;
|
||
|
|
if (Fact1Grp.ItemIndex = 0) and (Fact2Grp.ItemIndex = 1) and
|
||
|
|
(Fact3Grp.ItemIndex = 0) then
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for A is MSAxB');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for B is MSErr');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for C is MSBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for AxB is MSErr');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for AxC is MSAxBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for BxC is MSErr');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for AxBxC is MSErr');
|
||
|
|
end;
|
||
|
|
if (Fact1Grp.ItemIndex = 0) and (Fact2Grp.ItemIndex = 0) and
|
||
|
|
(Fact3Grp.ItemIndex = 1) then
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for A is MSAxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for B is MSBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for C is MSErr');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for AxB is MSAxBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for AxC is MSErr');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for BxC is MSErr');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for AxBxC is MSErr');
|
||
|
|
end;
|
||
|
|
if (Fact1Grp.ItemIndex = 0) and (Fact2Grp.ItemIndex = 1) and
|
||
|
|
(Fact3Grp.ItemIndex = 1) then
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for A is MSAxC + MSAxB - MSAxBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for B is MSBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for C is MSBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for AxB is MSAxBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for AxC is MSAxBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for BxC is MSErr');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for AxBxC is MSErr');
|
||
|
|
end;
|
||
|
|
if (Fact1Grp.ItemIndex = 1) and (Fact2Grp.ItemIndex = 0) and
|
||
|
|
(Fact3Grp.ItemIndex = 1) then
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for A is MSAxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for B is MSBxC + MSAxB - MSAxBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for C is MSAxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for AxB is MSAxBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for AxC is MSErr');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for BxC is MSAxBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for AxBxC is MSErr');
|
||
|
|
end;
|
||
|
|
if (Fact1Grp.ItemIndex = 1) and (Fact2Grp.ItemIndex = 1) and
|
||
|
|
(Fact3Grp.ItemIndex = 0) then
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for A is MSAxB');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for B is MSAxB');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for C is MSBxC + MSAxC - MSAxBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for AxB is MSErr');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for AxC is MSAxBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for BxC is MSAxBxC');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Note: Error term for AxBxC is MSErr');
|
||
|
|
end;
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
for i := 1 to 10 do if OKTerms[i] = 0 then problem := true;
|
||
|
|
if problem then
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('An error occurred due to either an estimate of MS being negative');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('or the degrees of freedom being zero. This may occur in a design');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('with random factors using the expected values for an exact F-test.');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Quasi-F statistics may be employed where this problem exists. See');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Winer, B.J., "Statistical Principles in Experimental Design, 1962');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Section 5.15, pages 199-202 and Glass, G.V. and Stanley, J.C.,');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('1970, Section 18.10, pages 481-482.');
|
||
|
|
end;
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Descriptive Statistics');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('GROUP N MEAN VARIANCE STD.DEV.');
|
||
|
|
groupsize := ncnt[1,1,1];
|
||
|
|
equal_grp := true;
|
||
|
|
MaxVar := 0.0;
|
||
|
|
MinVar := 1e20;
|
||
|
|
sumvars := 0.0;
|
||
|
|
sumfreqlogvar := 0.0;
|
||
|
|
sumDFrecip := 0.0;
|
||
|
|
|
||
|
|
// Display cell means, variances, standard deviations
|
||
|
|
for i := 0 to NoGrpsA-1 do
|
||
|
|
begin
|
||
|
|
for j := 0 to NoGrpsB-1 do
|
||
|
|
begin
|
||
|
|
for k := 0 to NoGrpsC-1 do
|
||
|
|
begin
|
||
|
|
XBar := wsum[i,j,k] / ncnt[i,j,k];
|
||
|
|
V := wx2[i,j,k] - ( (wsum[i,j,k] * wsum[i,j,k]) / ncnt[i,j,k]);
|
||
|
|
V := V / (ncnt[i,j,k] - 1.0);
|
||
|
|
S := sqrt(V);
|
||
|
|
sumvars := sumvars + V;
|
||
|
|
if V > MaxVar then MaxVar := V;
|
||
|
|
if V < MinVar then MinVar := V;
|
||
|
|
sumDFrecip := sumDFrecip + (1.0 / (ncnt[i,j,k] - 1.0));
|
||
|
|
sumfreqlogvar := sumfreqlogvar + ((ncnt[i,j,k] - 1.0) * ln(V));
|
||
|
|
if ncnt[i,j,k] <> groupsize then equal_grp := false;
|
||
|
|
outline := format('Cell %3d %3d %3d %3d %8.3f %8.3f %8.3f',
|
||
|
|
[minf1+i,minf2+j,minf3+k,ncnt[i,j,k],XBar,V,S]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
|
||
|
|
//Display Row means, variances, standard deviations
|
||
|
|
for i := 0 to NoGrpsA-1 do
|
||
|
|
begin
|
||
|
|
XBar := RowSums[i] / RowCount[i];
|
||
|
|
OrdMeansA[i] := XBar;
|
||
|
|
RowSS := 0.0;
|
||
|
|
for j := 0 to NoGrpsB-1 do
|
||
|
|
for k := 0 to NoGrpsC-1 do RowSS := RowSS + wx2[i,j,k];
|
||
|
|
V := RowSS - (RowSums[i] * RowSums[i] / RowCount[i]);
|
||
|
|
V := V / (RowCount[i] - 1.0);
|
||
|
|
S := sqrt(V);
|
||
|
|
outline := format('Row %3d %3.0f %8.3f %8.3f %8.3f',
|
||
|
|
[minf1+i,RowCount[i],XBar,V,S]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
end;
|
||
|
|
|
||
|
|
//Display means, variances and standard deviations for columns
|
||
|
|
for j := 0 to NoGrpsB-1 do
|
||
|
|
begin
|
||
|
|
XBar := ColSums[j] / ColCount[j];
|
||
|
|
OrdMeansB[j] := XBar;
|
||
|
|
ColSS := 0.0;
|
||
|
|
for i := 0 to NoGrpsA-1 do
|
||
|
|
for k := 0 to NoGrpsC-1 do ColSS := ColSS + wx2[i,j,k];
|
||
|
|
V := ColSS - (ColSums[j] * ColSums[j] / ColCount[j]);
|
||
|
|
V := V / (ColCount[j] - 1.0);
|
||
|
|
S := sqrt(V);
|
||
|
|
outline := format('Col %3d %3.0f %8.3f %8.3f %8.3f',
|
||
|
|
[minf2+j,ColCount[j],XBar,V,S]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
end;
|
||
|
|
|
||
|
|
//Display means, variances and standard deviations for slices
|
||
|
|
for k := 0 to NoGrpsC-1 do
|
||
|
|
begin
|
||
|
|
XBar := SlcSums[k] / SlcCount[k];
|
||
|
|
OrdMeansC[k] := XBar;
|
||
|
|
SlcSS := 0.0;
|
||
|
|
for i := 0 to NoGrpsA-1 do
|
||
|
|
for j := 0 to NoGrpsB-1 do SlcSS := SlcSS + wx2[i,j,k];
|
||
|
|
V := SlcSS - (SlcSums[k] * SlcSums[k] / SlcCount[k]);
|
||
|
|
V := V / (SlcCount[k] - 1.0);
|
||
|
|
S := sqrt(V);
|
||
|
|
outline := format('Slice %3d %3.0f %8.3f %8.3f %8.3f',
|
||
|
|
[minf3+k,SlcCount[k],XBar,V,S]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
end;
|
||
|
|
|
||
|
|
outline := format('TOTAL %3d %8.3f %8.3f %8.3f',
|
||
|
|
[N,MeanDep,MSDep,sqrt(MSDep)]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
|
||
|
|
c := 1.0 + (1.0 / (3.0 * NoGrpsA * NoGrpsB * NoGrpsC - 1.0)) * (sumDFrecip - (1.0 / DFErr));
|
||
|
|
bartlett := (2.303 / c) * ((DFErr * ln(MSErr)) - sumfreqlogvar);
|
||
|
|
chiprob := chisquaredprob(bartlett,round(NoGrpsA * NoGrpsB * NoGrpsC - 1));
|
||
|
|
cochran := maxvar / sumvars;
|
||
|
|
hartley := maxvar / minvar;
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('TESTS FOR HOMOGENEITY OF VARIANCE');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
outline := format('Hartley Fmax test statistic = %10.2f with deg.s freedom: %d and %d.',
|
||
|
|
[hartley, (NoGrpsA*NoGrpsB),(groupsize-1) ]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Cochran C statistic = %10.2f with deg.s freedom: %d and %d.',
|
||
|
|
[cochran, (NoGrpsA*NoGrpsB), (groupsize - 1)]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Bartlett Chi-square statistic = %10.2f with %4d D.F. Prob. larger = %6.3f',
|
||
|
|
[bartlett, (NoGrpsA*NoGrpsB - 1), 1.0 - chiprob]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.ThreeWayPlot(Sender: TObject);
|
||
|
|
var
|
||
|
|
i, j, k : integer;
|
||
|
|
maxmean, XBar : double;
|
||
|
|
XValue : DblDyneVec;
|
||
|
|
title : string;
|
||
|
|
plottype : integer;
|
||
|
|
setstring : string[11];
|
||
|
|
|
||
|
|
begin
|
||
|
|
if CompError then exit;
|
||
|
|
SetLength(XValue,totcells);
|
||
|
|
plottype := 2;
|
||
|
|
if PlotMeans.Checked then plottype := 2;
|
||
|
|
if Plot2DLines.Checked then plottype := 5;
|
||
|
|
if Plot3DLines.Checked then plottype := 6;
|
||
|
|
|
||
|
|
// do Factor A first
|
||
|
|
setstring := 'FACTOR A';
|
||
|
|
GraphFrm.SetLabels[1] := setstring;
|
||
|
|
maxmean := 0.0;
|
||
|
|
SetLength(GraphFrm.Xpoints,1,NF1cells);
|
||
|
|
SetLength(GraphFrm.Ypoints,1,NF1cells);
|
||
|
|
for i := 0 to NF1cells-1 do
|
||
|
|
begin
|
||
|
|
RowSums[i] := RowSums[i] / RowCount[i];
|
||
|
|
GraphFrm.Ypoints[0,i] := RowSums[i];
|
||
|
|
if RowSums[i] > maxmean then maxmean := RowSums[i];
|
||
|
|
XValue[i] := minF1 + i;
|
||
|
|
GraphFrm.Xpoints[0,i] := XValue[i];
|
||
|
|
end;
|
||
|
|
GraphFrm.nosets := 1;
|
||
|
|
GraphFrm.nbars := NF1cells;
|
||
|
|
GraphFrm.Heading := Factor1.Text;
|
||
|
|
title := Factor1.Text + ' Codes';
|
||
|
|
GraphFrm.XTitle := title;
|
||
|
|
GraphFrm.YTitle := 'Mean';
|
||
|
|
GraphFrm.barwideprop := 0.5;
|
||
|
|
GraphFrm.AutoScale := false;
|
||
|
|
GraphFrm.miny := 0.0;
|
||
|
|
GraphFrm.maxy := maxmean;
|
||
|
|
GraphFrm.GraphType := plottype;
|
||
|
|
GraphFrm.BackColor := clYellow;
|
||
|
|
GraphFrm.WallColor := clBlack;
|
||
|
|
GraphFrm.FloorColor := clLtGray;
|
||
|
|
GraphFrm.ShowBackWall := true;
|
||
|
|
GraphFrm.ShowModal;
|
||
|
|
|
||
|
|
// do Factor B next
|
||
|
|
setstring := 'FACTOR B';
|
||
|
|
GraphFrm.SetLabels[1] := setstring;
|
||
|
|
maxmean := 0.0;
|
||
|
|
SetLength(GraphFrm.Xpoints,1,NF2cells);
|
||
|
|
SetLength(GraphFrm.Ypoints,1,NF2cells);
|
||
|
|
for i := 0 to NF2cells-1 do
|
||
|
|
begin
|
||
|
|
ColSums[i] := ColSums[i] / ColCount[i];
|
||
|
|
GraphFrm.Ypoints[0,i] := ColSums[i];
|
||
|
|
if ColSums[i] > maxmean then maxmean := ColSums[i];
|
||
|
|
XValue[i] := minF2 + i;
|
||
|
|
GraphFrm.Xpoints[0,i] := XValue[i];
|
||
|
|
end;
|
||
|
|
GraphFrm.nosets := 1;
|
||
|
|
GraphFrm.nbars := NF2cells;
|
||
|
|
GraphFrm.Heading := Factor2.Text;
|
||
|
|
title := Factor2.Text + ' Codes';
|
||
|
|
GraphFrm.XTitle := title;
|
||
|
|
GraphFrm.YTitle := 'Mean';
|
||
|
|
GraphFrm.barwideprop := 0.5;
|
||
|
|
GraphFrm.AutoScale := false;
|
||
|
|
GraphFrm.miny := 0.0;
|
||
|
|
GraphFrm.maxy := maxmean;
|
||
|
|
GraphFrm.GraphType := plottype;
|
||
|
|
GraphFrm.BackColor := clYellow;
|
||
|
|
GraphFrm.WallColor := clBlack;
|
||
|
|
GraphFrm.FloorColor := clLtGray;
|
||
|
|
GraphFrm.ShowBackWall := true;
|
||
|
|
GraphFrm.ShowModal;
|
||
|
|
|
||
|
|
// do Factor C next
|
||
|
|
setstring := 'FACTOR C';
|
||
|
|
GraphFrm.SetLabels[1] := setstring;
|
||
|
|
maxmean := 0.0;
|
||
|
|
SetLength(GraphFrm.Xpoints,1,NF3cells);
|
||
|
|
SetLength(GraphFrm.Ypoints,1,NF3cells);
|
||
|
|
for i := 0 to NF3cells-1 do
|
||
|
|
begin
|
||
|
|
SlcSums[i] := SlcSums[i] / SlcCount[i];
|
||
|
|
GraphFrm.Ypoints[0,i] := SlcSums[i];
|
||
|
|
if SlcSums[i] > maxmean then maxmean := SlcSums[i];
|
||
|
|
XValue[i] := minF3 + i;
|
||
|
|
GraphFrm.Xpoints[0,i] := XValue[i];
|
||
|
|
end;
|
||
|
|
GraphFrm.nosets := 1;
|
||
|
|
GraphFrm.nbars := NF3cells;
|
||
|
|
GraphFrm.Heading := Factor3.Text;
|
||
|
|
title := Factor2.Text + ' Codes';
|
||
|
|
GraphFrm.XTitle := title;
|
||
|
|
GraphFrm.YTitle := 'Mean';
|
||
|
|
GraphFrm.barwideprop := 0.5;
|
||
|
|
GraphFrm.AutoScale := false;
|
||
|
|
GraphFrm.miny := 0.0;
|
||
|
|
GraphFrm.maxy := maxmean;
|
||
|
|
GraphFrm.GraphType := plottype;
|
||
|
|
GraphFrm.BackColor := clYellow;
|
||
|
|
GraphFrm.WallColor := clBlack;
|
||
|
|
GraphFrm.FloorColor := clLtGray;
|
||
|
|
GraphFrm.ShowBackWall := true;
|
||
|
|
GraphFrm.ShowModal;
|
||
|
|
|
||
|
|
// do Factor A x B Interaction within each slice next
|
||
|
|
SetLength(GraphFrm.Ypoints,NF1cells,NF2cells);
|
||
|
|
SetLength(GraphFrm.Xpoints,1,NF2cells);
|
||
|
|
for k := 1 to NF3cells do
|
||
|
|
begin
|
||
|
|
maxmean := 0.0;
|
||
|
|
for i := 0 to NF1cells-1 do
|
||
|
|
begin
|
||
|
|
setstring := Factor1.Text + ' ' + IntToStr(i+1);
|
||
|
|
GraphFrm.SetLabels[i+1] := setstring;
|
||
|
|
for j := 0 to NF2cells-1 do
|
||
|
|
begin
|
||
|
|
XBar := wsum[i,j,k] / ncnt[i,j,k];
|
||
|
|
if XBar > maxmean then maxmean := XBar;
|
||
|
|
GraphFrm.Ypoints[i,j] := XBar;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
for j := 0 to NF2cells-1 do
|
||
|
|
begin
|
||
|
|
XValue[j] := minF2 + j ;
|
||
|
|
GraphFrm.Xpoints[0,j] := XValue[j];
|
||
|
|
end;
|
||
|
|
|
||
|
|
GraphFrm.nosets := NF1cells;
|
||
|
|
GraphFrm.nbars := NF2cells;
|
||
|
|
GraphFrm.Heading := 'Factor A x Factor B Within Slice' + IntToStr(k);
|
||
|
|
title := Factor2.Text + ' Codes';
|
||
|
|
GraphFrm.XTitle := title;
|
||
|
|
GraphFrm.YTitle := 'Mean';
|
||
|
|
GraphFrm.barwideprop := 0.5;
|
||
|
|
GraphFrm.AutoScale := false;
|
||
|
|
GraphFrm.miny := 0.0;
|
||
|
|
GraphFrm.maxy := maxmean;
|
||
|
|
GraphFrm.GraphType := plottype;
|
||
|
|
GraphFrm.BackColor := clYellow;
|
||
|
|
GraphFrm.WallColor := clBlack;
|
||
|
|
GraphFrm.FloorColor := clLtGray;
|
||
|
|
GraphFrm.ShowBackWall := true;
|
||
|
|
GraphFrm.ShowModal;
|
||
|
|
end;
|
||
|
|
|
||
|
|
// do Factor A x C Interaction within each Column next
|
||
|
|
SetLength(GraphFrm.Ypoints,NF1cells,NF3cells);
|
||
|
|
SetLength(GraphFrm.Xpoints,1,NF3cells);
|
||
|
|
for j := 0 to NF2cells-1 do
|
||
|
|
begin
|
||
|
|
maxmean := 0.0;
|
||
|
|
for i := 0 to NF1cells-1 do
|
||
|
|
begin
|
||
|
|
setstring := Factor1.Text + ' ' + IntToStr(i+1);
|
||
|
|
GraphFrm.SetLabels[i+1] := setstring;
|
||
|
|
for k := 0 to NF3cells-1 do
|
||
|
|
begin
|
||
|
|
XBar := wsum[i,j,k] / ncnt[i,j,k];
|
||
|
|
if XBar > maxmean then maxmean := XBar;
|
||
|
|
GraphFrm.Ypoints[i,k] := XBar;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
for k := 0 to NF3cells-1 do
|
||
|
|
begin
|
||
|
|
XValue[k] := minF3 + k;
|
||
|
|
GraphFrm.Xpoints[0,k] := XValue[k];
|
||
|
|
end;
|
||
|
|
|
||
|
|
GraphFrm.nosets := NF1cells;
|
||
|
|
GraphFrm.nbars := NF3cells;
|
||
|
|
GraphFrm.Heading := 'Factor A x Factor C Within Column ' + IntToStr(j+1);
|
||
|
|
title := Factor3.Text + ' Codes';
|
||
|
|
GraphFrm.XTitle := title;
|
||
|
|
GraphFrm.YTitle := 'Mean';
|
||
|
|
GraphFrm.barwideprop := 0.5;
|
||
|
|
GraphFrm.AutoScale := false;
|
||
|
|
GraphFrm.miny := 0.0;
|
||
|
|
GraphFrm.maxy := maxmean;
|
||
|
|
GraphFrm.GraphType := plottype;
|
||
|
|
GraphFrm.BackColor := clYellow;
|
||
|
|
GraphFrm.WallColor := clBlack;
|
||
|
|
GraphFrm.FloorColor := clLtGray;
|
||
|
|
GraphFrm.ShowBackWall := true;
|
||
|
|
GraphFrm.ShowModal;
|
||
|
|
end;
|
||
|
|
|
||
|
|
// do Factor B x C Interaction within each row next
|
||
|
|
SetLength(GraphFrm.Ypoints,NF2cells,NF3cells);
|
||
|
|
SetLength(GraphFrm.Xpoints,1,NF3cells);
|
||
|
|
for i := 0 to NF1cells-1 do
|
||
|
|
begin
|
||
|
|
maxmean := 0.0;
|
||
|
|
for j := 0 to NF2cells-1 do
|
||
|
|
begin
|
||
|
|
setstring := Factor2.Text + ' ' + IntToStr(j+1);
|
||
|
|
GraphFrm.SetLabels[j+1] := setstring;
|
||
|
|
for k := 0 to NF3cells-1 do
|
||
|
|
begin
|
||
|
|
XBar := wsum[i,j,k] / ncnt[i,j,k];
|
||
|
|
if XBar > maxmean then maxmean := XBar;
|
||
|
|
GraphFrm.Ypoints[j,k] := XBar;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
for j := 0 to NF2cells-1 do
|
||
|
|
begin
|
||
|
|
XValue[j] := minF2 + j;
|
||
|
|
GraphFrm.Xpoints[0,j] := XValue[j];
|
||
|
|
end;
|
||
|
|
|
||
|
|
GraphFrm.nosets := NF2cells;
|
||
|
|
GraphFrm.nbars := NF3cells;
|
||
|
|
GraphFrm.Heading := 'Factor B x Factor C Within Row ' + IntToStr(i+1);
|
||
|
|
title := Factor3.Text + ' Codes';
|
||
|
|
GraphFrm.XTitle := title;
|
||
|
|
GraphFrm.YTitle := 'Mean';
|
||
|
|
GraphFrm.barwideprop := 0.5;
|
||
|
|
GraphFrm.AutoScale := false;
|
||
|
|
GraphFrm.miny := 0.0;
|
||
|
|
GraphFrm.maxy := maxmean;
|
||
|
|
GraphFrm.GraphType := plottype;
|
||
|
|
GraphFrm.BackColor := clYellow;
|
||
|
|
GraphFrm.WallColor := clBlack;
|
||
|
|
GraphFrm.FloorColor := clLtGray;
|
||
|
|
GraphFrm.ShowBackWall := true;
|
||
|
|
GraphFrm.ShowModal;
|
||
|
|
end; // next row
|
||
|
|
GraphFrm.Xpoints := nil;
|
||
|
|
GraphFrm.Ypoints := nil;
|
||
|
|
XValue := nil;
|
||
|
|
end;
|
||
|
|
//-------------------------------------------------------------------
|
||
|
|
procedure TBlksAnovaFrm.TwoWayContrasts(Sender: TObject);
|
||
|
|
var
|
||
|
|
i, j : integer;
|
||
|
|
value : double;
|
||
|
|
variances : DblDyneVec;
|
||
|
|
RowSS, ColSS : double;
|
||
|
|
|
||
|
|
begin
|
||
|
|
If CompError then exit;
|
||
|
|
SetLength(variances,totcells);
|
||
|
|
// Do row comparisons
|
||
|
|
if (NF1cells > 2) then
|
||
|
|
if ProbF1 < allAlpha then
|
||
|
|
if Fact2Grp.ItemIndex = 0 then
|
||
|
|
begin
|
||
|
|
for i := 0 to NoGrpsA-1 do
|
||
|
|
begin
|
||
|
|
RowSS := 0.0;
|
||
|
|
for j := 0 to NoGrpsB-1 do RowSS := RowSS + vars[i,j];
|
||
|
|
variances[i] := RowSS - (RowSums[i] * RowSums[i] / RowCount[i]);
|
||
|
|
variances[i] := variances[i] / (RowCount[i] - 1.0);
|
||
|
|
end;
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('COMPARISONS AMONG ROWS');
|
||
|
|
// get smallest group size
|
||
|
|
value := 1e20;
|
||
|
|
for i := 0 to NF1cells-1 do if RowCount[i] < value then value := RowCount[i];
|
||
|
|
if Scheffe.Checked then
|
||
|
|
SCHEFFETEST(MSErr,RowSums,RowCount,minf1,maxf1,N);
|
||
|
|
if (TukeyHSD.Checked) and (equal_grp) then
|
||
|
|
Tukey(MSErr,DFErr,value,RowSums,RowCount,minf1,maxf1);
|
||
|
|
if (TukeyB.Checked) and (equal_grp) then
|
||
|
|
TUKEYBTEST(MSErr,DFErr,RowSums,RowCount,minf1,maxf1,value);
|
||
|
|
if (TukeyKramer.Checked) and (equal_grp) then
|
||
|
|
TUKEY_KRAMER(MSErr,DFErr,value,RowSums,RowCount,minf1,maxf1);
|
||
|
|
if (NewmanKeuls.Checked) and (equal_grp) then
|
||
|
|
Newman_Keuls(MSErr,DFErr,value,RowSums,RowCount,minf1,maxf1);
|
||
|
|
if Bonferoni.Checked then
|
||
|
|
Bonferroni(RowSums,RowCount,variances,minf1,maxf1);
|
||
|
|
if OrthoContrasts.Checked then
|
||
|
|
CONTRASTS(MSErr,DFErr,RowSums,RowCount,minf1,maxf1,AllAlpha);
|
||
|
|
end;
|
||
|
|
// Do column comparisons
|
||
|
|
if (NF2cells > 2) and (ProbF2 < allAlpha) and (Fact2Grp.ItemIndex = 0) then
|
||
|
|
begin
|
||
|
|
for j := 0 to NoGrpsB-1 do
|
||
|
|
begin
|
||
|
|
ColSS := 0.0;
|
||
|
|
for i := 0 to NoGrpsA-1 do ColSS := ColSS + vars[i,j];
|
||
|
|
variances[j] := ColSS - (ColSums[j] * ColSums[j] / ColCount[j]);
|
||
|
|
variances[j] := variances[j] / (ColCount[j] - 1.0);
|
||
|
|
end;
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('COMPARISONS AMONG COLUMNS');
|
||
|
|
value := 1e20;
|
||
|
|
for i := 0 to NF2cells-1 do if ColCount[i] < value then value := ColCount[i];
|
||
|
|
if Scheffe.Checked then
|
||
|
|
SCHEFFETEST(MSErr,ColSums,ColCount,minf2,maxf2,N);
|
||
|
|
if (TukeyHSD.Checked) and (equal_grp) then
|
||
|
|
Tukey(MSErr,DFErr,value,ColSums,ColCount,minf2,maxf2);
|
||
|
|
if (TukeyB.Checked) and (equal_grp) then
|
||
|
|
TUKEYBTEST(MSErr,DFErr,ColSums,ColCount,minf2,maxf2,value);
|
||
|
|
if (TukeyKramer.Checked) and (equal_grp) then
|
||
|
|
TUKEY_KRAMER(MSErr,DFErr,value,ColSums,ColCount,minf2,maxf2);
|
||
|
|
if (NewmanKeuls.Checked) and (equal_grp) then
|
||
|
|
Newman_Keuls(MSErr,DFErr,value,ColSums,ColCount,minf2,maxf2);
|
||
|
|
if Bonferoni.Checked then
|
||
|
|
Bonferroni(ColSums,ColCount,variances,minf2,maxf2);
|
||
|
|
if OrthoContrasts.Checked then
|
||
|
|
CONTRASTS(MSErr,DFErr,ColSums,ColCount,minf2,maxf2,AllAlpha);
|
||
|
|
end;
|
||
|
|
// do simple effects for columns within each row
|
||
|
|
if (ProbF3 < allAlpha) and
|
||
|
|
(Fact1Grp.ItemIndex = 0) and
|
||
|
|
(Fact2Grp.ItemIndex = 0) then
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('COMPARISONS AMONG COLUMNS WITHIN EACH ROW');
|
||
|
|
for i := 0 to NF1cells-1 do
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
outline := format('ROW %d COMPARISONS',[i+1]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
// move cell sums and counts to cellsums and cellcnts
|
||
|
|
for j := 0 to NF2cells-1 do
|
||
|
|
begin
|
||
|
|
cellsums[j] := sums[i,j];
|
||
|
|
cellcnts[j] := counts[i,j];
|
||
|
|
cellvars[j] := vars[i,j];
|
||
|
|
end;
|
||
|
|
value := 1e20;
|
||
|
|
for j := 0 to NF2cells-1 do if cellcnts[j] < value then value := cellcnts[j];
|
||
|
|
if Scheffe.Checked then
|
||
|
|
SCHEFFETEST(MSErr,cellsums,cellcnts,minf2,maxf2,N);
|
||
|
|
if (TukeyHSD.Checked) and (equal_grp) then
|
||
|
|
Tukey(MSErr,DFErr,value,cellsums,cellcnts,minf2,maxf2);
|
||
|
|
if (TukeyB.Checked) and (equal_grp) then
|
||
|
|
TUKEYBTEST(MSErr,DFErr,cellsums,cellcnts,minf2,maxf2,value);
|
||
|
|
if (TukeyKramer.Checked) and (equal_grp) then
|
||
|
|
TUKEY_KRAMER(MSErr,DFErr,value,cellsums,cellcnts,minf2,maxf2);
|
||
|
|
if (NewmanKeuls.Checked) and (equal_grp) then
|
||
|
|
Newman_Keuls(MSErr,DFErr,value,cellsums,cellcnts,minf2,maxf2);
|
||
|
|
if Bonferoni.Checked then
|
||
|
|
Bonferroni(cellsums,cellcnts,cellvars,minf2,maxf2);
|
||
|
|
if OrthoContrasts.Checked then
|
||
|
|
CONTRASTS(MSErr,DFErr,cellsums,cellcnts,minf2,maxf2,0.05);
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
// do simple effects for rows within each column
|
||
|
|
if (ProbF3 < allAlpha) and (Fact1Grp.ItemIndex = 0) and (Fact2Grp.ItemIndex = 0) then
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('COMPARISONS AMONG ROWS WITHIN EACH COLUMN');
|
||
|
|
for j := 0 to NF2cells-1 do
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
outline := format('COLUMN %d COMPARISONS', [j+1]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
// move cell sums and counts to cellsums and cellcnts
|
||
|
|
for i := 0 to NF1cells-1 do
|
||
|
|
begin
|
||
|
|
cellsums[i] := sums[i,j];
|
||
|
|
cellcnts[i] := counts[i,j];
|
||
|
|
cellvars[i] := vars[i,j];
|
||
|
|
end;
|
||
|
|
value := 1e20;
|
||
|
|
for i := 0 to NF1cells-1 do if cellcnts[j] < value then value := cellcnts[j];
|
||
|
|
if Scheffe.Checked then
|
||
|
|
SCHEFFETEST(MSErr,cellsums,cellcnts,minf1,maxf1,N);
|
||
|
|
if (TukeyHSD.Checked) and (equal_grp) then
|
||
|
|
Tukey(MSErr,DFErr,value,cellsums,cellcnts,minf1,maxf1);
|
||
|
|
if (TukeyB.Checked) and (equal_grp) then
|
||
|
|
TUKEYBTEST(MSErr,DFErr,cellsums,cellcnts,minf1,maxf1,value);
|
||
|
|
if (TukeyKramer.Checked) and (equal_grp) then
|
||
|
|
TUKEY_KRAMER(MSErr,DFErr,value,cellsums,cellcnts,minf1,maxf1);
|
||
|
|
if (NewmanKeuls.Checked) and (equal_grp) then
|
||
|
|
Newman_Keuls(MSErr,DFErr,value,cellsums,cellcnts,minf1,maxf1);
|
||
|
|
if Bonferoni.Checked then
|
||
|
|
Bonferroni(cellsums,cellcnts,cellvars,minf1,maxf1);
|
||
|
|
if OrthoContrasts.Checked then
|
||
|
|
CONTRASTS(MSErr,DFErr,cellsums,cellcnts,minf1,maxf1,0.05);
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
variances := nil;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.ThreeWayContrasts(Sender: TObject);
|
||
|
|
var
|
||
|
|
i, j, k : integer;
|
||
|
|
value : double;
|
||
|
|
variances : DblDyneVec;
|
||
|
|
RowSS, ColSS, SlcSS : double;
|
||
|
|
|
||
|
|
begin
|
||
|
|
if CompError then exit;
|
||
|
|
if (Scheffe.Checked = false) and (TukeyHSD.Checked = false) and
|
||
|
|
(TukeyB.Checked = false) and (TukeyKramer.Checked = false) and
|
||
|
|
(NewmanKeuls.Checked = false) and (Bonferoni.Checked = false) and
|
||
|
|
(OrthoContrasts.Checked = false) then exit;
|
||
|
|
SetLength(variances,totcells);
|
||
|
|
// Do row comparisons
|
||
|
|
if (NF1cells > 2) and
|
||
|
|
(ProbF1 < allAlpha) then
|
||
|
|
begin
|
||
|
|
for i := 0 to NoGrpsA-1 do
|
||
|
|
begin
|
||
|
|
RowSS := 0.0;
|
||
|
|
for j := 0 to NoGrpsB-1 do
|
||
|
|
for k := 0 to NoGrpsC-1 do RowSS := RowSS + wx2[i,j,k];
|
||
|
|
variances[i] := RowSS - (RowSums[i] * RowSums[i] / RowCount[i]);
|
||
|
|
variances[i] := variances[i] / (RowCount[i] - 1.0);
|
||
|
|
end;
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('COMPARISONS AMONG ROWS');
|
||
|
|
// get smallest group size
|
||
|
|
value := 1e20;
|
||
|
|
for i := 0 to NF1cells-1 do if RowCount[i] < value then value := RowCount[i];
|
||
|
|
if Scheffe.Checked then
|
||
|
|
SCHEFFETEST(MSErr,RowSums,RowCount,minf1,maxf1,N);
|
||
|
|
if (TukeyHSD.Checked) and (equal_grp) then
|
||
|
|
Tukey(MSErr,DFErr,value,RowSums,RowCount,minf1,maxf1);
|
||
|
|
if (TukeyB.Checked) and (equal_grp) then
|
||
|
|
TUKEYBTEST(MSErr,DFErr,RowSums,RowCount,minf1,maxf1,value);
|
||
|
|
if (TukeyKramer.Checked) and (equal_grp) then
|
||
|
|
TUKEY_KRAMER(MSErr,DFErr,value,RowSums,RowCount,minf1,maxf1);
|
||
|
|
if (NewmanKeuls.Checked) and (equal_grp) then
|
||
|
|
Newman_Keuls(MSErr,DFErr,value,RowSums,RowCount,minf1,maxf1);
|
||
|
|
if Bonferoni.Checked then
|
||
|
|
Bonferroni(RowSums,RowCount,variances,minf1,maxf1);
|
||
|
|
if OrthoContrasts.Checked then
|
||
|
|
CONTRASTS(MSErr,DFErr,RowSums,RowCount,minf1,maxf1,AllAlpha);
|
||
|
|
end;
|
||
|
|
|
||
|
|
// Do column comparisons
|
||
|
|
if (NF2cells > 2) and (ProbF2 < allAlpha) then
|
||
|
|
begin
|
||
|
|
for j := 0 to NoGrpsB-1 do
|
||
|
|
begin
|
||
|
|
ColSS := 0.0;
|
||
|
|
for i := 0 to NoGrpsA-1 do
|
||
|
|
for k := 0 to NoGrpsC-1 do ColSS := ColSS + wx2[i,j,k];
|
||
|
|
variances[j] := ColSS - (ColSums[j] * ColSums[j] / ColCount[j]);
|
||
|
|
variances[j] := variances[j] / (ColCount[j] - 1.0);
|
||
|
|
end;
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('COMPARISONS AMONG COLUMNS');
|
||
|
|
value := 1e20;
|
||
|
|
for i := 0 to NF2cells-1 do if ColCount[i] < value then value := ColCount[i];
|
||
|
|
if Scheffe.Checked then
|
||
|
|
SCHEFFETEST(MSErr,ColSums,ColCount,minf2,maxf2,N);
|
||
|
|
if (TukeyHSD.Checked) and (equal_grp) then
|
||
|
|
Tukey(MSErr,DFErr,value,ColSums,ColCount,minf2,maxf2);
|
||
|
|
if (TukeyB.Checked) and (equal_grp) then
|
||
|
|
TUKEYBTEST(MSErr,DFErr,ColSums,ColCount,minf2,maxf2,value);
|
||
|
|
if (TukeyKramer.Checked) and (equal_grp) then
|
||
|
|
TUKEY_KRAMER(MSErr,DFErr,value,ColSums,ColCount,minf2,maxf2);
|
||
|
|
if (NewmanKeuls.Checked) and (equal_grp) then
|
||
|
|
Newman_Keuls(MSErr,DFErr,value,ColSums,ColCount,minf2,maxf2);
|
||
|
|
if Bonferoni.Checked then
|
||
|
|
Bonferroni(ColSums,ColCount,variances,minf2,maxf2);
|
||
|
|
if OrthoContrasts.Checked then
|
||
|
|
CONTRASTS(MSErr,DFErr,ColSums,ColCount,minf2,maxf2,AllAlpha);
|
||
|
|
end;
|
||
|
|
|
||
|
|
// Do slice comparisons
|
||
|
|
if (NF3cells > 2) and (ProbF3 < allAlpha) then
|
||
|
|
begin
|
||
|
|
for k := 0 to NoGrpsC-1 do
|
||
|
|
begin
|
||
|
|
SlcSS := 0.0;
|
||
|
|
for i := 0 to NoGrpsA-1 do
|
||
|
|
for j := 0 to NoGrpsB-1 do SlcSS := SlcSS + wx2[i,j,k];
|
||
|
|
variances[k] := SlcSS - (SlcSums[k] * SlcSums[k] / SlcCount[k]);
|
||
|
|
variances[k] := variances[k] / (SlcCount[k] - 1.0);
|
||
|
|
end;
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('COMPARISONS AMONG SLICES');
|
||
|
|
value := 1e20;
|
||
|
|
for i := 0 to NF3cells-1 do if SlcCount[i] < value then value := SlcCount[i];
|
||
|
|
if Scheffe.Checked then
|
||
|
|
SCHEFFETEST(MSErr,SlcSums,SlcCount,minf3,maxf3,N);
|
||
|
|
if (TukeyHSD.Checked) and (equal_grp) then
|
||
|
|
Tukey(MSErr,DFErr,value,SlcSums,SlcCount,minf3,maxf3);
|
||
|
|
if (TukeyB.Checked) and (equal_grp) then
|
||
|
|
TUKEYBTEST(MSErr,DFErr,SlcSums,SlcCount,minf3,maxf3,value);
|
||
|
|
if (TukeyKramer.Checked) and (equal_grp) then
|
||
|
|
TUKEY_KRAMER(MSErr,DFErr,value,SlcSums,SlcCount,minf3,maxf3);
|
||
|
|
if (NewmanKeuls.Checked) and (equal_grp) then
|
||
|
|
Newman_Keuls(MSErr,DFErr,value,SlcSums,SlcCount,minf3,maxf3);
|
||
|
|
if Bonferoni.Checked then
|
||
|
|
Bonferroni(SlcSums,SlcCount,variances,minf3,maxf3);
|
||
|
|
if OrthoContrasts.Checked then
|
||
|
|
CONTRASTS(MSErr,DFErr,SlcSums,SlcCount,minf3,maxf3,AllAlpha);
|
||
|
|
end;
|
||
|
|
|
||
|
|
// do simple effects for columns within each row
|
||
|
|
if (ProbF1f2 < allAlpha) then
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('COMPARISONS AMONG COLUMNS WITHIN EACH ROW');
|
||
|
|
for i := 0 to NF1cells-1 do
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
outline := format('ROW %d COMPARISONS',[i+1]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
// move cell sums and counts to cellsums and cellcnts
|
||
|
|
for j := 0 to NF2cells-1 do
|
||
|
|
begin
|
||
|
|
for k := 0 to NF3cells-1 do
|
||
|
|
begin
|
||
|
|
cellsums[j] := wsum[i,j,k];
|
||
|
|
cellcnts[j] := ncnt[i,j,k];
|
||
|
|
cellvars[j] := wx2[i,j,k];
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
value := 1e20;
|
||
|
|
for j := 0 to NF2cells-1 do if cellcnts[j] < value then value := cellcnts[j];
|
||
|
|
if Scheffe.Checked then
|
||
|
|
SCHEFFETEST(MSErr,cellsums,cellcnts,minf2,maxf2,N);
|
||
|
|
if (TukeyHSD.Checked) and (equal_grp) then
|
||
|
|
Tukey(MSErr,DFErr,value,cellsums,cellcnts,minf2,maxf2);
|
||
|
|
if (TukeyB.Checked) and (equal_grp) then
|
||
|
|
TUKEYBTEST(MSErr,DFErr,cellsums,cellcnts,minf2,maxf2,value);
|
||
|
|
if (TukeyKramer.Checked) and (equal_grp) then
|
||
|
|
TUKEY_KRAMER(MSErr,DFErr,value,cellsums,cellcnts,minf2,maxf2);
|
||
|
|
if (NewmanKeuls.Checked) and (equal_grp) then
|
||
|
|
Newman_Keuls(MSErr,DFErr,value,cellsums,cellcnts,minf2,maxf2);
|
||
|
|
if Bonferoni.Checked then
|
||
|
|
Bonferroni(cellsums,cellcnts,cellvars,minf2,maxf2);
|
||
|
|
if OrthoContrasts.Checked then
|
||
|
|
CONTRASTS(MSErr,DFErr,cellsums,cellcnts,minf2,maxf2,0.05);
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
|
||
|
|
// do simple effects for rows within each column
|
||
|
|
if (ProbF1f2 < allAlpha) then
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('COMPARISONS AMONG ROWS WITHIN EACH COLUMN');
|
||
|
|
for j := 0 to NF2cells-1 do
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
outline := format('COLUMN %d COMPARISONS', [j+1]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
// move cell sums and counts to cellsums and cellcnts
|
||
|
|
for i := 0 to NF1cells-1 do
|
||
|
|
begin
|
||
|
|
for k := 0 to NF3cells-1 do
|
||
|
|
begin
|
||
|
|
cellsums[i] := wsum[i,j,k];
|
||
|
|
cellcnts[i] := ncnt[i,j,k];
|
||
|
|
cellvars[i] := wx2[i,j,k];
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
value := 1e20;
|
||
|
|
for i := 0 to NF1cells-1 do if cellcnts[j] < value then value := cellcnts[j];
|
||
|
|
if Scheffe.Checked then
|
||
|
|
SCHEFFETEST(MSErr,cellsums,cellcnts,minf1,maxf1,N);
|
||
|
|
if (TukeyHSD.Checked) and (equal_grp) then
|
||
|
|
Tukey(MSErr,DFErr,value,cellsums,cellcnts,minf1,maxf1);
|
||
|
|
if (TukeyB.Checked) and (equal_grp) then
|
||
|
|
TUKEYBTEST(MSErr,DFErr,cellsums,cellcnts,minf1,maxf1,value);
|
||
|
|
if (TukeyKramer.Checked) and (equal_grp) then
|
||
|
|
TUKEY_KRAMER(MSErr,DFErr,value,cellsums,cellcnts,minf1,maxf1);
|
||
|
|
if (NewmanKeuls.Checked) and (equal_grp) then
|
||
|
|
Newman_Keuls(MSErr,DFErr,value,cellsums,cellcnts,minf1,maxf1);
|
||
|
|
if Bonferoni.Checked then
|
||
|
|
Bonferroni(cellsums,cellcnts,cellvars,minf1,maxf1);
|
||
|
|
if OrthoContrasts.Checked then
|
||
|
|
CONTRASTS(MSErr,DFErr,cellsums,cellcnts,minf1,maxf1,0.05);
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
|
||
|
|
// do simple effects for columns within each slice
|
||
|
|
if (ProbF2F3 < allAlpha) then
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('COMPARISONS AMONG COLUMNS WITHIN EACH SLICE');
|
||
|
|
for k := 0 to NF3cells-1 do
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
outline := format('SLICE %d COMPARISONS',[k+1]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
// move cell sums and counts to cellsums and cellcnts
|
||
|
|
for j := 0 to NF2cells-1 do
|
||
|
|
begin
|
||
|
|
for i := 0 to NF1cells-1 do
|
||
|
|
begin
|
||
|
|
cellsums[j] := wsum[i,j,k];
|
||
|
|
cellcnts[j] := ncnt[i,j,k];
|
||
|
|
cellvars[j] := wx2[i,j,k];
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
value := 1e20;
|
||
|
|
for j := 1 to NF2cells do if cellcnts[j] < value then value := cellcnts[j];
|
||
|
|
if Scheffe.Checked then
|
||
|
|
SCHEFFETEST(MSErr,cellsums,cellcnts,minf2,maxf2,N);
|
||
|
|
if (TukeyHSD.Checked) and (equal_grp) then
|
||
|
|
Tukey(MSErr,DFErr,value,cellsums,cellcnts,minf2,maxf2);
|
||
|
|
if (TukeyB.Checked) and (equal_grp) then
|
||
|
|
TUKEYBTEST(MSErr,DFErr,cellsums,cellcnts,minf2,maxf2,value);
|
||
|
|
if (TukeyKramer.Checked) and (equal_grp) then
|
||
|
|
TUKEY_KRAMER(MSErr,DFErr,value,cellsums,cellcnts,minf2,maxf2);
|
||
|
|
if (NewmanKeuls.Checked) and (equal_grp) then
|
||
|
|
Newman_Keuls(MSErr,DFErr,value,cellsums,cellcnts,minf2,maxf2);
|
||
|
|
if Bonferoni.Checked then
|
||
|
|
Bonferroni(cellsums,cellcnts,cellvars,minf2,maxf2);
|
||
|
|
if OrthoContrasts.Checked then
|
||
|
|
CONTRASTS(MSErr,DFErr,cellsums,cellcnts,minf2,maxf2,0.05);
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
|
||
|
|
// do simple effects for rows within each slice
|
||
|
|
if (ProbF1F3 < allAlpha) then
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('COMPARISONS AMONG ROWS WITHIN EACH SLICE');
|
||
|
|
for k := 0 to NF3cells-1 do
|
||
|
|
begin
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
outline := format('SLICE %d COMPARISONS',[k+1]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
// move cell sums and counts to cellsums and cellcnts
|
||
|
|
for i := 0 to NF1cells-1 do
|
||
|
|
begin
|
||
|
|
for j := 0 to NF2cells-1 do
|
||
|
|
begin
|
||
|
|
cellsums[j] := wsum[i,j,k];
|
||
|
|
cellcnts[j] := ncnt[i,j,k];
|
||
|
|
cellvars[j] := wx2[i,j,k];
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
value := 1e20;
|
||
|
|
for i := 0 to NF1cells-1 do if cellcnts[i] < value then value := cellcnts[i];
|
||
|
|
if Scheffe.Checked then
|
||
|
|
SCHEFFETEST(MSErr,cellsums,cellcnts,minf1,maxf1,N);
|
||
|
|
if (TukeyHSD.Checked) and (equal_grp) then
|
||
|
|
Tukey(MSErr,DFErr,value,cellsums,cellcnts,minf1,maxf1);
|
||
|
|
if (TukeyB.Checked) and (equal_grp) then
|
||
|
|
TUKEYBTEST(MSErr,DFErr,cellsums,cellcnts,minf1,maxf1,value);
|
||
|
|
if (TukeyKramer.Checked) and (equal_grp) then
|
||
|
|
TUKEY_KRAMER(MSErr,DFErr,value,cellsums,cellcnts,minf1,maxf1);
|
||
|
|
if (NewmanKeuls.Checked) and (equal_grp) then
|
||
|
|
Newman_Keuls(MSErr,DFErr,value,cellsums,cellcnts,minf1,maxf1);
|
||
|
|
if Bonferoni.Checked then
|
||
|
|
Bonferroni(cellsums,cellcnts,cellvars,minf1,maxf1);
|
||
|
|
if OrthoContrasts.Checked then
|
||
|
|
CONTRASTS(MSErr,DFErr,cellsums,cellcnts,minf1,maxf1,0.05);
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
variances := nil
|
||
|
|
end;
|
||
|
|
//-------------------------------------------------------------------
|
||
|
|
procedure TBlksAnovaFrm.BrownForsytheOneWay(Sender: TObject);
|
||
|
|
Var i : integer;
|
||
|
|
c1 : array[1..50] of double;
|
||
|
|
cellmeans : array[1..50] of double;
|
||
|
|
sumc1 : double;
|
||
|
|
fdegfree : double;
|
||
|
|
Fnumerator, Fdenominator, NewF : double;
|
||
|
|
|
||
|
|
begin
|
||
|
|
for i := 1 to 50 do
|
||
|
|
begin
|
||
|
|
c1[i] := 0.0;
|
||
|
|
cellmeans[i] := 0.0;
|
||
|
|
end;
|
||
|
|
for i := 1 to NoCases do
|
||
|
|
begin
|
||
|
|
if not GoodRecord(i,NoSelected,ColNoSelected) then continue;
|
||
|
|
intvalue := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[F1Col,i])));
|
||
|
|
X := StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[DepVarCol,i]));
|
||
|
|
intvalue := intvalue - minf1 + 1;
|
||
|
|
cellcnts[intvalue-1] := 0.0;
|
||
|
|
cellsums[intvalue-1] := 0.0;
|
||
|
|
cellvars[intvalue-1] := 0.0;
|
||
|
|
end;
|
||
|
|
MeanDep := 0.0;
|
||
|
|
SSDep := 0.0;
|
||
|
|
SSF1 := 0.0;
|
||
|
|
MSErr := 0.0;
|
||
|
|
N := 0;
|
||
|
|
for i := 1 to NoCases do
|
||
|
|
begin
|
||
|
|
if not GoodRecord(i,NoSelected,ColNoSelected) then continue;
|
||
|
|
intvalue := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[F1Col,i])));
|
||
|
|
X := StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[DepVarCol,i]));
|
||
|
|
intvalue := intvalue - minf1 + 1;
|
||
|
|
cellcnts[intvalue-1] := cellcnts[intvalue-1] + 1;
|
||
|
|
cellsums[intvalue-1] := cellsums[intvalue-1] + X;
|
||
|
|
cellvars[intvalue-1] := cellvars[intvalue-1] + (X * X);
|
||
|
|
MeanDep := MeanDep + X;
|
||
|
|
SSDep := SSDep + (X * X);
|
||
|
|
N := N + 1;
|
||
|
|
end;
|
||
|
|
DFF1 := 0;
|
||
|
|
for i := 0 to Nf1cells-1 do
|
||
|
|
begin
|
||
|
|
if cellcnts[i] > 0 then
|
||
|
|
begin
|
||
|
|
cellvars[i] := cellvars[i] - (cellsums[i] * cellsums[i] /cellcnts[i]);
|
||
|
|
cellvars[i] := cellvars[i] / (cellcnts[i] - 1.0);
|
||
|
|
SSF1 := SSF1 + (sqr(cellsums[i]) / cellcnts[i]);
|
||
|
|
DFF1 := DFF1 + 1;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
SSF1 := SSF1 - (sqr(MeanDep) / N);
|
||
|
|
SSDep := SSDep - (sqr(MeanDep) / N);
|
||
|
|
SSErr := SSDep - SSF1;
|
||
|
|
DFTot := N - 1;
|
||
|
|
DFF1 := DFF1 - 1;
|
||
|
|
DFErr := DFTot - DFF1;
|
||
|
|
MSF1 := SSF1 / DFF1;
|
||
|
|
MSErr := SSErr / DFErr;
|
||
|
|
MSDep := SSDep / DFTot;
|
||
|
|
Omega := (SSF1 - DFF1 * MSErr) / (SSDep + MSErr);
|
||
|
|
F := MSF1 / MSErr;
|
||
|
|
ProbF1 := probf(F,DFF1,DFErr);
|
||
|
|
MeanDep := MeanDep / N;
|
||
|
|
OutPutFrm.RichEdit.Clear;
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('BROWN-FORSYTHE ONE WAY ANALYSIS OF VARIANCE RESULTS');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
outline := format('Dependent variable is: %s, Independent variable is: %s',
|
||
|
|
[DepVar.Text,Factor1.Text]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Traditional One-Way ANOVA Results');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('SOURCE D.F. SS MS F PROB.>F OMEGA SQR.');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
outline := format('BETWEEN %4.0f%10.2f%10.2f%10.2f%10.2f%10.2f',
|
||
|
|
[DFF1,SSF1,MSF1,F,ProbF1,Omega]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('WITHIN %4.0f%10.2f%10.2f',[DFErr,SSErr,MSErr]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('TOTAL %4.0f%10.2f',[DFTot,SSDep]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
|
||
|
|
sumc1 := 0.0;
|
||
|
|
MSErr := 0.0;
|
||
|
|
for i := 0 to Nf1cells-1 do
|
||
|
|
begin
|
||
|
|
// MSErr := MSErr + (((1.0 - cellcnts[i] / N) * cellvars[i]));
|
||
|
|
c1[i+1] := (1.0 - (cellcnts[i] / N)) * cellvars[i];
|
||
|
|
sumc1 := sumc1 + c1[i+1];
|
||
|
|
end;
|
||
|
|
// MSErr := MSErr / DFF1;
|
||
|
|
for i := 1 to Nf1cells do
|
||
|
|
begin
|
||
|
|
c1[i] := c1[i] / sumc1;
|
||
|
|
end;
|
||
|
|
fdegfree := 0.0;
|
||
|
|
for i := 1 to Nf1cells do fdegfree := fdegfree + ((c1[i] * c1[i]) / (cellcnts[i-1]-1.0));
|
||
|
|
fdegfree := round(1.0 / fdegfree);
|
||
|
|
|
||
|
|
Fnumerator := 0.0;
|
||
|
|
Fdenominator := 0.0;
|
||
|
|
for i := 1 to Nf1cells do
|
||
|
|
begin
|
||
|
|
cellmeans[i] := cellsums[i-1] / cellcnts[i-1];
|
||
|
|
Fnumerator := Fnumerator + (cellcnts[i-1] * (sqr(cellmeans[i] - MeanDep)));
|
||
|
|
Fdenominator := Fdenominator + ((1.0 - (cellcnts[i-1] / N)) * cellvars[i-1]);
|
||
|
|
end;
|
||
|
|
NewF := Fnumerator / Fdenominator;
|
||
|
|
ProbF1 := probf(NewF,DFF1, fdegfree);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
outline := format('Brown-Forsythe F statistic = %8.3f',[NewF]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Brown-Forsythe denominator degrees of freedom = %3.0f',[fdegfree]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Brown-Forsythe F probability = %5.3f',[probf1]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
OutPutFrm.ShowModal;
|
||
|
|
Welchttests(self);
|
||
|
|
end;
|
||
|
|
procedure TBlksAnovaFrm.WelchOneWay(Sender: TObject);
|
||
|
|
Var i : integer;
|
||
|
|
W, v, barx, numerator, denominator : double;
|
||
|
|
wj : array[1..50] of double;
|
||
|
|
c1 : array[1..50] of double;
|
||
|
|
barxj : array[1..50] of double;
|
||
|
|
sumc1 : double;
|
||
|
|
fdegfree, term1, term2, term3 : double;
|
||
|
|
begin
|
||
|
|
for i := 1 to 50 do
|
||
|
|
begin
|
||
|
|
wj[i] := 0.0;
|
||
|
|
c1[i] := 0.0;
|
||
|
|
barxj[i] := 0.0;
|
||
|
|
end;
|
||
|
|
for i := 1 to NoCases do
|
||
|
|
begin
|
||
|
|
if not GoodRecord(i,NoSelected,ColNoSelected) then continue;
|
||
|
|
intvalue := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[F1Col,i])));
|
||
|
|
X := StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[DepVarCol,i]));
|
||
|
|
intvalue := intvalue - minf1 + 1;
|
||
|
|
cellcnts[intvalue-1] := 0.0;
|
||
|
|
cellsums[intvalue-1] := 0.0;
|
||
|
|
cellvars[intvalue-1] := 0.0;
|
||
|
|
end;
|
||
|
|
MeanDep := 0.0;
|
||
|
|
SSDep := 0.0;
|
||
|
|
SSF1 := 0.0;
|
||
|
|
MSErr := 0.0;
|
||
|
|
N := 0;
|
||
|
|
for i := 1 to NoCases do
|
||
|
|
begin
|
||
|
|
if not GoodRecord(i,NoSelected,ColNoSelected) then continue;
|
||
|
|
intvalue := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[F1Col,i])));
|
||
|
|
X := StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[DepVarCol,i]));
|
||
|
|
intvalue := intvalue - minf1 + 1;
|
||
|
|
cellcnts[intvalue-1] := cellcnts[intvalue-1] + 1;
|
||
|
|
cellsums[intvalue-1] := cellsums[intvalue-1] + X;
|
||
|
|
cellvars[intvalue-1] := cellvars[intvalue-1] + (X * X);
|
||
|
|
MeanDep := MeanDep + X;
|
||
|
|
SSDep := SSDep + (X * X);
|
||
|
|
barxj[intvalue] := barxj[intvalue] + X;
|
||
|
|
N := N + 1;
|
||
|
|
end;
|
||
|
|
DFF1 := 0;
|
||
|
|
W := 0.0;
|
||
|
|
barx := 0.0;
|
||
|
|
v := 0.0;
|
||
|
|
for i := 0 to Nf1cells-1 do
|
||
|
|
begin
|
||
|
|
if cellcnts[i] > 0 then
|
||
|
|
begin
|
||
|
|
cellvars[i] := cellvars[i] - (cellsums[i] * cellsums[i] /cellcnts[i]);
|
||
|
|
cellvars[i] := cellvars[i] / (cellcnts[i] - 1.0);
|
||
|
|
wj[i+1] := cellcnts[i] / cellvars[i];
|
||
|
|
W := W + wj[i+1];
|
||
|
|
barxj[i+1] := barxj[i+1] / cellcnts[i];
|
||
|
|
SSF1 := SSF1 + (sqr(cellsums[i]) / cellcnts[i]);
|
||
|
|
DFF1 := DFF1 + 1;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
for i := 1 to Nf1cells do barx := barx + (wj[i] * barxj[i]);
|
||
|
|
barx := barx / W;
|
||
|
|
numerator := 0.0;
|
||
|
|
for i := 1 to Nf1cells do
|
||
|
|
begin
|
||
|
|
numerator := numerator + (wj[i]* sqr(barxj[i]-barx));
|
||
|
|
end;
|
||
|
|
numerator := numerator / (Nf1cells - 1.0);
|
||
|
|
denominator := 0.0;
|
||
|
|
for i := 1 to Nf1cells do
|
||
|
|
begin
|
||
|
|
v := v + ( (1.0 /(cellcnts[i-1]-1.0)) * (sqr(1.0 - wj[i]/W)) );
|
||
|
|
end;
|
||
|
|
v := 3.0 * v;
|
||
|
|
term1 := sqr(Nf1cells) - 1.0;
|
||
|
|
v := term1 / v;
|
||
|
|
for i := 1 to Nf1cells do
|
||
|
|
begin
|
||
|
|
term1 := 1.0 / (cellcnts[i-1] - 1.0);
|
||
|
|
term2 := sqr(1.0 - (wj[i] / W));
|
||
|
|
denominator := denominator + (term1 * term2);
|
||
|
|
end;
|
||
|
|
term1 := sqr(Nf1cells) - 1.0;
|
||
|
|
term2 := 2.0 * (Nf1cells - 2.0);
|
||
|
|
term3 := 1.0;
|
||
|
|
denominator := term3 + ((term2 / term1) * denominator);
|
||
|
|
F := numerator / denominator;
|
||
|
|
DFF1 := Nf1cells - 1;
|
||
|
|
SSF1 := SSF1 - (sqr(MeanDep) / float(N));
|
||
|
|
SSDep := SSDep - (sqr(MeanDep) / float(N));
|
||
|
|
SSErr := SSDep - SSF1;
|
||
|
|
DFTot := N - 1;
|
||
|
|
DFErr := DFTot - DFF1;
|
||
|
|
MSF1 := SSF1 / DFF1;
|
||
|
|
MeanDep := MeanDep / float(N);
|
||
|
|
sumc1 := 0.0;
|
||
|
|
for i := 0 to Nf1cells-1 do
|
||
|
|
begin
|
||
|
|
MSErr := MSErr + (((1.0 - cellcnts[i] / N) * cellvars[i])/ DFF1);
|
||
|
|
c1[i+1] := (1.0 - (cellcnts[i] / N)) * cellvars[i];
|
||
|
|
sumc1 := sumc1 + c1[i+1];
|
||
|
|
end;
|
||
|
|
for i := 1 to Nf1cells do
|
||
|
|
begin
|
||
|
|
c1[i] := c1[i] / sumc1;
|
||
|
|
end;
|
||
|
|
fdegfree := 0.0;
|
||
|
|
for i := 1 to Nf1cells do fdegfree := fdegfree + (c1[i] * c1[i]) / (cellcnts[i-1]-1.0);
|
||
|
|
fdegfree := round(1.0 / fdegfree);
|
||
|
|
MSDep := SSDep / DFTot;
|
||
|
|
Omega := (SSF1 - DFF1 * MSErr) / (SSDep + MSErr);
|
||
|
|
// F := MSF1 / MSErr;
|
||
|
|
// ProbF1 := probf(F,DFF1, DFErr);
|
||
|
|
OutPutFrm.RichEdit.Clear;
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('WELCH ONE WAY ANALYSIS OF VARIANCE RESULTS');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
outline := format('Dependent variable is: %s, Independent variable is: %s',
|
||
|
|
[DepVar.Text,Factor1.Text]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
{ OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('SOURCE D.F. SS MS F PROB.>F OMEGA SQR.');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
outline := format('BETWEEN %4.0f%10.2f%10.2f%10.2f%10.2f%10.2f',
|
||
|
|
[DFF1,SSF1,MSF1,F,ProbF1,Omega]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('WITHIN %4.0f%10.2f%10.2f',[DFErr,SSErr,MSErr]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('TOTAL %4.0f%10.2f',[DFTot,SSDep]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(''); }
|
||
|
|
outline := format('Welch F statistic = %8.4f',[F]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Welch denominator degrees of freedom = %3.0f',[v]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
probF1 := probf(F,DFF1,v);
|
||
|
|
outline := format('Welch F probability = %5.3f',[probf1]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.ShowModal;
|
||
|
|
Welchttests(self);
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TBlksAnovaFrm.Welchttests(Sender: TObject);
|
||
|
|
VAR i, j, NoCompares : integer;
|
||
|
|
t : double; // Welch t value
|
||
|
|
gnu : double; // degrees of freedom
|
||
|
|
var1, var2 : double; // variance estimates for two variables
|
||
|
|
mean1, mean2 : double; // means for two variables
|
||
|
|
probability : double; // t probability
|
||
|
|
numerator, denominator, term1, term2 : double; // work values
|
||
|
|
v : integer; // rounded degrees of freedom
|
||
|
|
begin
|
||
|
|
NoCompares := Nf1cells;
|
||
|
|
OutPutFrm.RichEdit.Clear;
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('Welch t-tests among groups');
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('---------------------------------------------------------------------');
|
||
|
|
for i := 1 to NoCompares - 1 do
|
||
|
|
begin
|
||
|
|
for j := i + 1 to NoCompares do
|
||
|
|
begin
|
||
|
|
outline := format('Comparison of group %d with group %d',[i,j]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
mean1 := cellsums[i-1] / cellcnts[i-1];
|
||
|
|
mean2 := cellsums[j-1] / cellcnts[j-1];
|
||
|
|
var1 := cellvars[i-1];
|
||
|
|
var2 := cellvars[j-1];
|
||
|
|
denominator := sqrt((var1 / cellcnts[i-1]) + (var2 / cellcnts[j-1]));
|
||
|
|
numerator := mean1 - mean2;
|
||
|
|
t := numerator / denominator;
|
||
|
|
outline := format('Mean %d = %8.3f, Mean %d = %8.3f',[i,mean1,j,mean2]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Welch t = %8.3f',[t]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
numerator := sqr((var1 /cellcnts[i-1]) + (var2 / cellcnts[j-1]));
|
||
|
|
term1 := sqr(var1) / (sqr(cellcnts[i-1]) * (cellcnts[i-1]-1.0));
|
||
|
|
term2 := sqr(var2) / (sqr(cellcnts[j-1]) * (cellcnts[j-1]-1.0));
|
||
|
|
denominator := term1 + term2;
|
||
|
|
numerator := sqr((var1 / cellcnts[i-1]) + (var2 / cellcnts[j-1]));
|
||
|
|
gnu := numerator / denominator;
|
||
|
|
outline := format('degrees of freedom = %8.3f',[gnu]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
v := round(gnu);
|
||
|
|
outline := format('Rounded degrees of freedom = %d',[v]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
probability := probt(t,gnu);
|
||
|
|
outline := format('Probability > t = %8.3f',[probability]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
end;
|
||
|
|
OutPutFrm.RichEdit.Lines.Add('');
|
||
|
|
end;
|
||
|
|
OutPutFrm.ShowModal;
|
||
|
|
end;
|
||
|
|
|
||
|
|
initialization
|
||
|
|
{$I blkanovaunit.lrs}
|
||
|
|
|
||
|
|
end.
|
||
|
|
|