You've already forked lazarus-ccr
734 lines
22 KiB
ObjectPascal
734 lines
22 KiB
ObjectPascal
|
unit SRHTestUnit;
|
||
|
|
|
||
|
|
{$mode objfpc}{$H+}
|
||
|
|
|
||
|
|
interface
|
||
|
|
|
||
|
|
uses
|
||
|
|
Classes, SysUtils, FileUtil, LResources, Forms, Controls, Graphics, Dialogs,
|
||
|
|
StdCtrls, Buttons, ExtCtrls,
|
||
|
|
MainUnit, Globals, FunctionsLib, OutputUnit, DataProcs, GraphLib,
|
||
|
|
ContextHelpUnit;
|
||
|
|
|
||
|
|
type
|
||
|
|
|
||
|
|
{ TSRHTest }
|
||
|
|
|
||
|
|
TSRHTest = class(TForm)
|
||
|
|
Bevel1: TBevel;
|
||
|
|
CancelBtn: TButton;
|
||
|
|
ComputeBtn: TButton;
|
||
|
|
DepIn: TBitBtn;
|
||
|
|
DepOut: TBitBtn;
|
||
|
|
DepVar: TEdit;
|
||
|
|
Fact1In: TBitBtn;
|
||
|
|
Fact1Out: TBitBtn;
|
||
|
|
Fact2In: TBitBtn;
|
||
|
|
Fact2Out: TBitBtn;
|
||
|
|
Factor1: TEdit;
|
||
|
|
Factor2: TEdit;
|
||
|
|
GroupBox2: TGroupBox;
|
||
|
|
HelpBtn: TButton;
|
||
|
|
Label1: TLabel;
|
||
|
|
Label3: TLabel;
|
||
|
|
Memo1: TLabel;
|
||
|
|
OverallAlpha: TEdit;
|
||
|
|
Plot2DLines: TCheckBox;
|
||
|
|
Plot3DLines: TCheckBox;
|
||
|
|
PlotMeans: TCheckBox;
|
||
|
|
ResetBtn: TButton;
|
||
|
|
ReturnBtn: TButton;
|
||
|
|
StaticText1: TStaticText;
|
||
|
|
StaticText2: TStaticText;
|
||
|
|
StaticText3: TStaticText;
|
||
|
|
VarList: TListBox;
|
||
|
|
procedure ComputeBtnClick(Sender: TObject);
|
||
|
|
procedure DepInClick(Sender: TObject);
|
||
|
|
procedure DepOutClick(Sender: TObject);
|
||
|
|
procedure Fact1InClick(Sender: TObject);
|
||
|
|
procedure Fact1OutClick(Sender: TObject);
|
||
|
|
procedure Fact2InClick(Sender: TObject);
|
||
|
|
procedure Fact2OutClick(Sender: TObject);
|
||
|
|
procedure FormActivate(Sender: TObject);
|
||
|
|
procedure FormCreate(Sender: TObject);
|
||
|
|
procedure HelpBtnClick(Sender: TObject);
|
||
|
|
procedure ResetBtnClick(Sender: TObject);
|
||
|
|
private
|
||
|
|
{ private declarations }
|
||
|
|
FAutoSized: boolean;
|
||
|
|
NoSelected, intvalue, N : integer;
|
||
|
|
ColNoSelected : IntDyneVec;
|
||
|
|
outline, cellstring : string;
|
||
|
|
SSDep, SSErr, SSF1, SSF2, SSF1F2 : double;
|
||
|
|
MSDep, MSErr, MSF1, MSF2, MSF1F2 : double;
|
||
|
|
DFTot, DFErr, DFF1, DFF2, DFF1F2 : double;
|
||
|
|
Omega, OmegaF1, OmegaF2, OmegaF1F2: double;
|
||
|
|
FF1, FF2, FF1F2, ProbF1, ProbF2, ProbF1F2 : double;
|
||
|
|
DepVarCol, F1Col, F2Col, Nf1cells, Nf2cells : integer;
|
||
|
|
MeanDep, MeanF1, MeanF2, X : double;
|
||
|
|
minf1, maxf1, minf2, maxf2, nofactors, totcells : integer;
|
||
|
|
cellcnts : DblDyneVec; // array of cell counts
|
||
|
|
cellvars : DblDyneVec; // arrray of cell sums of squares then variances
|
||
|
|
cellsums : DblDyneVec; // array of cell sums then means
|
||
|
|
equal_grp : boolean; // check for equal groups for post-hoc tests
|
||
|
|
counts : DblDyneMat; // matrix for 2-way containing cell sizes
|
||
|
|
sums : DblDyneMat; // matrix for 2-way containing cell sums
|
||
|
|
vars : DblDyneMat; // matrix for 2-way containing sums of squares
|
||
|
|
RowSums : DblDyneVec; // 2 way row sums
|
||
|
|
ColSums : DblDyneVec; // 2 way col sums
|
||
|
|
RowCount : DblDyneVec; // 2 way row count
|
||
|
|
ColCount : DblDyneVec; // 2 way col count
|
||
|
|
NoGrpsA, NoGrpsB : integer;
|
||
|
|
OrdMeansA, OrdMeansB : DblDyneVec; // reordered means for f1, f2
|
||
|
|
allAlpha : double; // alphas for tests
|
||
|
|
CompError : boolean;
|
||
|
|
|
||
|
|
procedure getlevels(Sender : TObject);
|
||
|
|
procedure Calc2Way(Sender: TObject);
|
||
|
|
procedure TwoWayTable(Sender: TObject);
|
||
|
|
procedure TwoWayPlot(Sender: TObject);
|
||
|
|
|
||
|
|
public
|
||
|
|
{ public declarations }
|
||
|
|
end;
|
||
|
|
|
||
|
|
var
|
||
|
|
SRHTest: TSRHTest;
|
||
|
|
|
||
|
|
implementation
|
||
|
|
|
||
|
|
uses
|
||
|
|
Math;
|
||
|
|
|
||
|
|
{ TSRHTest }
|
||
|
|
|
||
|
|
procedure TSRHTest.ResetBtnClick(Sender: TObject);
|
||
|
|
Var i : integer;
|
||
|
|
begin
|
||
|
|
VarList.Clear;
|
||
|
|
DepIn.Enabled := true;
|
||
|
|
Fact1In.Enabled := true;
|
||
|
|
Fact2In.Enabled := true;
|
||
|
|
DepOut.Enabled := false;
|
||
|
|
Fact1Out.Enabled := false;
|
||
|
|
Fact2Out.Enabled := false;
|
||
|
|
DepVar.Text := '';
|
||
|
|
Factor1.Text := '';
|
||
|
|
Factor2.Text := '';
|
||
|
|
PlotMeans.Checked := false;
|
||
|
|
OverAllalpha.Text := '0.05';
|
||
|
|
for i := 1 to NoVariables do
|
||
|
|
VarList.Items.Add(OS3MainFrm.DataGrid.Cells[i,0]);
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TSRHTest.HelpBtnClick(Sender: TObject);
|
||
|
|
begin
|
||
|
|
if ContextHelpForm = nil then
|
||
|
|
Application.CreateForm(TContextHelpForm, ContextHelpForm);
|
||
|
|
ContextHelpForm.HelpMessage((Sender as TButton).tag);
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TSRHTest.DepInClick(Sender: TObject);
|
||
|
|
VAR index : integer;
|
||
|
|
begin
|
||
|
|
index := VarList.ItemIndex;
|
||
|
|
DepVar.Text := VarList.Items.Strings[index];
|
||
|
|
DepIn.Enabled := false;
|
||
|
|
DepOut.Enabled := true;
|
||
|
|
VarList.Items.Delete(index);
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TSRHTest.ComputeBtnClick(Sender: TObject);
|
||
|
|
Var
|
||
|
|
i : integer;
|
||
|
|
Label cleanit;
|
||
|
|
label nexttwo;
|
||
|
|
begin
|
||
|
|
OutputFrm.RichEdit.Clear;
|
||
|
|
// initialize values
|
||
|
|
SetLength(ColNoSelected,NoVariables);
|
||
|
|
DepVarCol := 0;
|
||
|
|
F1Col := 0;
|
||
|
|
F2Col := 0;
|
||
|
|
SSDep := 0.0;
|
||
|
|
SSF1 := 0.0;
|
||
|
|
SSF2 := 0.0;
|
||
|
|
SSF1F2 := 0.0;
|
||
|
|
MeanDep := 0.0;
|
||
|
|
MeanF1 := 0.0;
|
||
|
|
MeanF2 := 0.0;
|
||
|
|
Nf1cells := 0;
|
||
|
|
Nf2cells := 0;
|
||
|
|
N := 0;
|
||
|
|
NoSelected := 0;
|
||
|
|
minf1 := 0;
|
||
|
|
maxf1 := 0;
|
||
|
|
minf2 := 0;
|
||
|
|
maxf2 := 0;
|
||
|
|
|
||
|
|
// Get column numbers of dependent variable and factors
|
||
|
|
for i := 1 to NoVariables do
|
||
|
|
begin
|
||
|
|
cellstring := OS3MainFrm.DataGrid.Cells[i,0];
|
||
|
|
if cellstring = DepVar.Text then
|
||
|
|
begin
|
||
|
|
DepVarCol := i;
|
||
|
|
NoSelected := NoSelected + 1;
|
||
|
|
ColNoSelected[NoSelected-1] := DepVarCol;
|
||
|
|
end;
|
||
|
|
if cellstring = Factor1.Text then
|
||
|
|
begin
|
||
|
|
F1Col := i;
|
||
|
|
NoSelected := NoSelected + 1;
|
||
|
|
ColNoSelected[NoSelected-1] := F1Col;
|
||
|
|
end;
|
||
|
|
if cellstring = Factor2.Text then
|
||
|
|
begin
|
||
|
|
F2Col := i;
|
||
|
|
NoSelected := NoSelected + 1;
|
||
|
|
ColNoSelected[NoSelected-1] := F2Col;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
nofactors := 2;
|
||
|
|
allAlpha := StrToFloat(OverAllalpha.Text);
|
||
|
|
|
||
|
|
// get min and max of each factor code
|
||
|
|
getlevels(self);
|
||
|
|
|
||
|
|
// allocate space
|
||
|
|
SetLength(cellcnts,totcells); // array of cell counts
|
||
|
|
SetLength(cellvars,totcells); // arrray of cell sums of squares then variances
|
||
|
|
SetLength(cellsums,totcells); // array of cell sums then means
|
||
|
|
|
||
|
|
// initialize array values
|
||
|
|
for i := 1 to totcells do
|
||
|
|
begin
|
||
|
|
cellsums[i-1] := 0.0;
|
||
|
|
cellvars[i-1] := 0.0;
|
||
|
|
cellcnts[i-1] := 0;
|
||
|
|
end;
|
||
|
|
|
||
|
|
// do analysis
|
||
|
|
SetLength(counts,Nf1cells,Nf2cells); // matrix for 2-way containing cell sizes
|
||
|
|
SetLength(sums,Nf1cells,Nf2cells); // matrix for 2-way containing cell sums
|
||
|
|
SetLength(vars,Nf1cells,Nf2cells); // matrix for 2-way containing sums of squares
|
||
|
|
SetLength(RowSums,Nf1cells); // 2 way row sums
|
||
|
|
SetLength(ColSums,Nf2cells); // 2 way col sums
|
||
|
|
SetLength(RowCount,Nf1cells); // 2 way row count
|
||
|
|
SetLength(ColCount,Nf2cells); // 2 way col count
|
||
|
|
SetLength(OrdMeansA,Nf1cells); // ordered means for factor 1
|
||
|
|
SetLength(OrdMeansB,Nf2cells); // ordered means for factor 2
|
||
|
|
|
||
|
|
Calc2Way(self);
|
||
|
|
if CompError then goto nexttwo;
|
||
|
|
TwoWayTable(self);
|
||
|
|
OutputFrm.ShowModal;
|
||
|
|
if (PlotMeans.Checked) or (Plot2DLines.Checked)
|
||
|
|
or (Plot3DLines.Checked) then TwoWayPlot(self);
|
||
|
|
nexttwo: OrdMeansB := nil;
|
||
|
|
OrdMeansA := nil;
|
||
|
|
ColCount := nil;
|
||
|
|
RowCount := nil;
|
||
|
|
ColSums := nil;
|
||
|
|
RowSums := nil;
|
||
|
|
vars := nil;
|
||
|
|
sums := nil;
|
||
|
|
counts := nil;
|
||
|
|
|
||
|
|
cleanit:
|
||
|
|
cellcnts := nil;
|
||
|
|
cellvars := nil;
|
||
|
|
cellsums := nil;
|
||
|
|
ColNoSelected := nil;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TSRHTest.DepOutClick(Sender: TObject);
|
||
|
|
begin
|
||
|
|
VarList.Items.Add(DepVar.Text);
|
||
|
|
DepVar.Text := '';
|
||
|
|
DepOut.Enabled := false;
|
||
|
|
DepIn.Enabled := true;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TSRHTest.Fact1InClick(Sender: TObject);
|
||
|
|
VAR index : integer;
|
||
|
|
begin
|
||
|
|
index := VarList.ItemIndex;
|
||
|
|
if index = -1 then exit;
|
||
|
|
Factor1.Text := VarList.Items.Strings[index];
|
||
|
|
Fact1In.Enabled := false;
|
||
|
|
Fact1Out.Enabled := true;
|
||
|
|
VarList.Items.Delete(index);
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TSRHTest.Fact1OutClick(Sender: TObject);
|
||
|
|
begin
|
||
|
|
VarList.Items.Add(Factor1.Text);
|
||
|
|
Factor1.Text := '';
|
||
|
|
Fact1Out.Enabled := false;
|
||
|
|
Fact1In.Enabled := true;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TSRHTest.Fact2InClick(Sender: TObject);
|
||
|
|
VAR index : integer;
|
||
|
|
begin
|
||
|
|
index := VarList.ItemIndex;
|
||
|
|
if index = -1 then exit;
|
||
|
|
Factor2.Text := VarList.Items.Strings[index];
|
||
|
|
Fact2In.Enabled := false;
|
||
|
|
Fact2Out.Enabled := true;
|
||
|
|
VarList.Items.Delete(index);
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TSRHTest.Fact2OutClick(Sender: TObject);
|
||
|
|
begin
|
||
|
|
VarList.Items.Add(Factor2.Text);
|
||
|
|
Factor2.Text := '';
|
||
|
|
Fact2Out.Enabled := false;
|
||
|
|
Fact2In.Enabled := true;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TSRHTest.FormActivate(Sender: TObject);
|
||
|
|
var
|
||
|
|
w: Integer;
|
||
|
|
begin
|
||
|
|
if FAutoSized then
|
||
|
|
exit;
|
||
|
|
|
||
|
|
w := MaxValue([HelpBtn.Width, ResetBtn.Width, CancelBtn.Width, ComputeBtn.Width, ReturnBtn.Width]);
|
||
|
|
HelpBtn.Constraints.MinWidth := w;
|
||
|
|
ResetBtn.Constraints.MinWidth := w;
|
||
|
|
CancelBtn.Constraints.MinWidth := w;
|
||
|
|
ComputeBtn.Constraints.MinWidth := w;
|
||
|
|
ReturnBtn.Constraints.MinWidth := w;
|
||
|
|
|
||
|
|
VarList.Constraints.MinHeight := OverallAlpha.Top + OverallAlpha.Height - VarList.Top;
|
||
|
|
Constraints.MinWidth := Width;
|
||
|
|
Constraints.MinHeight := Height;
|
||
|
|
|
||
|
|
FAutoSized := True;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TSRHTest.FormCreate(Sender: TObject);
|
||
|
|
begin
|
||
|
|
Assert(OS3MainFrm <> nil);
|
||
|
|
if OutputFrm = nil then
|
||
|
|
Application.CreateForm(TOutputFrm, OutputFrm);
|
||
|
|
if GraphFrm = nil then
|
||
|
|
Application.CreateForm(TGraphFrm, GraphFrm);
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TSRHTest.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;
|
||
|
|
totcells := Nf1cells + Nf2cells;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TSRHTest.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
|
||
|
|
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);
|
||
|
|
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;
|
||
|
|
if (Omega < 0.0) then Omega := 0.0;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TSRHTest.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;
|
||
|
|
H, HProb : 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]);
|
||
|
|
OutputFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Factor B (columns) variable: %s',[Factor2.Text]);
|
||
|
|
OutputFrm.RichEdit.Lines.Add(outline);
|
||
|
|
OutputFrm.RichEdit.Lines.Add('');
|
||
|
|
OutputFrm.RichEdit.Lines.Add('SOURCE D.F. SS MS F PROB.> F Omega Sqr. H H Prob.');
|
||
|
|
OutputFrm.RichEdit.Lines.Add('');
|
||
|
|
H := SSF1 / MSDep;
|
||
|
|
HProb := 1.0 - chisquaredprob(H,round(DFF1));
|
||
|
|
outline := format('Among Rows %4.0f %8.3f %8.3f %8.3f %6.3f %6.3f %6.3f %6.3f',
|
||
|
|
[DFF1,SSF1,MSF1,FF1,ProbF1,OmegaF1, H, HProb]);
|
||
|
|
OutputFrm.RichEdit.Lines.Add(outline);
|
||
|
|
H := SSF2 / MSDep;
|
||
|
|
HProb := 1.0 - chisquaredprob(H,round(DFF2));
|
||
|
|
outline := format('Among Columns %4.0f %8.3f %8.3f %8.3f %6.3f %6.3f %6.3f %6.3f',
|
||
|
|
[DFF2,SSF2,MSF2,FF2,ProbF2,OmegaF2,H , HProb]);
|
||
|
|
OutputFrm.RichEdit.Lines.Add(outline);
|
||
|
|
H := SSF1F2 / MSDep;
|
||
|
|
HProb := 1.0 - chisquaredprob(H,round(DFF1F2));
|
||
|
|
outline := format('Interaction %4.0f %8.3f %8.3f %8.3f %6.3f %6.3f %6.3f %6.3f',
|
||
|
|
[DFF1F2,SSF1F2,MSF1F2,FF1F2,ProbF1F2,OmegaF1F2, H, HProb]);
|
||
|
|
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('');
|
||
|
|
|
||
|
|
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 TSRHTest.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.AutoScaled := 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.AutoScaled := 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.AutoScaled := 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;
|
||
|
|
|
||
|
|
initialization
|
||
|
|
{$I srhtestunit.lrs}
|
||
|
|
|
||
|
|
end.
|
||
|
|
|