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git-svn-id: https://svn.code.sf.net/p/lazarus-ccr/svn@7881 8e941d3f-bd1b-0410-a28a-d453659cc2b4
556 lines
19 KiB
Plaintext
556 lines
19 KiB
Plaintext
unit ChiSqrUnit;
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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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ExtCtrls, StdCtrls, Buttons, MainUnit, OutPutUnit, FunctionsLib,
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GraphLib, Globals, MatrixLib, DataProcs, Math, DictionaryUnit;
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type
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{ TChiSqrFrm }
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TChiSqrFrm = class(TForm)
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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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ObsChk: TCheckBox;
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ExpChk: TCheckBox;
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PropsChk: TCheckBox;
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CellChiChk: TCheckBox;
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SaveFChk: TCheckBox;
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GroupBox1: TGroupBox;
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YatesChk: TCheckBox;
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RowIn: TBitBtn;
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RowOut: TBitBtn;
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ColIn: TBitBtn;
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ColOut: TBitBtn;
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DepIn: TBitBtn;
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DepOut: TBitBtn;
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NCasesEdit: TEdit;
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NCasesLabel: TLabel;
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RowEdit: TEdit;
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ColEdit: TEdit;
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DepEdit: TEdit;
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InputGrp: TRadioGroup;
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Label1: TLabel;
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Label2: TLabel;
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Label3: TLabel;
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AnalyzeLabel: TLabel;
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VarList: TListBox;
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procedure ColInClick(Sender: TObject);
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procedure ColOutClick(Sender: TObject);
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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 FormShow(Sender: TObject);
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procedure InputGrpClick(Sender: TObject);
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procedure ResetBtnClick(Sender: TObject);
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procedure ReturnBtnClick(Sender: TObject);
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procedure RowInClick(Sender: TObject);
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procedure RowOutClick(Sender: TObject);
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private
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{ private declarations }
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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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ChiSqrFrm: TChiSqrFrm;
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implementation
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{ TChiSqrFrm }
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procedure TChiSqrFrm.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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RowEdit.Text := '';
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ColEdit.Text := '';
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DepEdit.Text := '';
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DepEdit.Visible := false;
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RowIn.Visible := true;
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RowOut.Visible := false;
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ColIn.Visible := true;
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ColOut.Visible := false;
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DepIn.Visible := false;
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DepOut.Visible := false;
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NCasesLabel.Visible := false;
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AnalyzeLabel.Visible := false;
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NCasesEdit.Text := '';
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NCasesEdit.Visible := false;
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InputGrp.ItemIndex := 0;
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ObsChk.Checked := false;
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ExpChk.Checked := false;
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PropsChk.Checked := false;
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CellChiChk.Checked := false;
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SaveFChk.Checked := false;
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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 TChiSqrFrm.ReturnBtnClick(Sender: TObject);
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begin
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ChiSqrFrm.Hide;
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end;
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procedure TChiSqrFrm.RowInClick(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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RowEdit.Text := VarList.Items.Strings[index];
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VarList.Items.Delete(index);
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RowIn.Visible := false;
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RowOut.Visible := true;
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end;
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procedure TChiSqrFrm.RowOutClick(Sender: TObject);
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begin
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VarList.Items.Add(RowEdit.Text);
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RowEdit.Text := '';
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RowIn.Visible := true;
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RowOut.Visible := false;
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end;
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procedure TChiSqrFrm.FormShow(Sender: TObject);
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begin
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ResetBtnClick(self);
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end;
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procedure TChiSqrFrm.ColInClick(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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ColEdit.Text := VarList.Items.Strings[index];
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VarList.Items.Delete(index);
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ColIn.Visible := false;
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ColOut.Visible := true;
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end;
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procedure TChiSqrFrm.ColOutClick(Sender: TObject);
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begin
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VarList.Items.Add(ColEdit.Text);
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ColEdit.Text := '';
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ColIn.Visible := true;
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ColOut.Visible := false;
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end;
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procedure TChiSqrFrm.ComputeBtnClick(Sender: TObject);
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var
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i, j, RowNo, ColNo, DepNo, MinRow, MaxRow, MinCol, MaxCol : integer;
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Row, Col, NoSelected, Ncases, Nrows, Ncols, FObs, df : integer;
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RowLabels, ColLabels : StrDyneVec;
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ColNoSelected : IntDyneVec;
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cellstring, outline : string;
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Freq : IntDyneMat;
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Prop, Expected, CellChi : DblDyneMat;
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PObs, ChiSquare, ProbChi, phi, SumX, SumY, VarX, VarY, liklihood : double;
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yates : boolean;
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title : string;
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filename : string;
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Adjchisqr, probliklihood, G, pearsonr, MantelHaenszel, MHprob : double;
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Adjprobchi, CoefCont, CramerV : double;
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begin
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SetLength(ColNoSelected,NoVariables);
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yates := false;
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RowNo := 0;
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ColNo := 0;
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DepNo := 0;
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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 = RowEdit.Text then RowNo := i;
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if cellstring = ColEdit.Text then ColNo := i;
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if cellstring = DepEdit.Text then DepNo := i;
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end;
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ColNoSelected[0] := RowNo;
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ColNoSelected[1] := ColNo;
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NoSelected := 2;
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if InputGrp.ItemIndex > 0 then // for reading proportions or frequencies
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begin
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NoSelected := 3;
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ColNoSelected[2] := DepNo;
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end;
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// get min and max of row and col numbers
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MinRow := 1000;
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MaxRow := 0;
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MinCol := 1000;
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MaxCol := 0;
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for i := 1 to NoCases do
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begin
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if NOT GoodRecord(i,NoSelected,ColNoSelected) then continue;
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Row := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[RowNo,i])));
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Col := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[ColNo,i])));
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if Row > MaxRow then MaxRow := Row;
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if Row < MinRow then MinRow := Row;
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if Col > MaxCol then MaxCol := Col;
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if Col < MinCol then MinCol := Col;
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end;
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Nrows := MaxRow - MinRow + 1;
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Ncols := MaxCol - MinCol + 1;
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// allocate and initialize
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SetLength(Freq,Nrows+1,Ncols+1);
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SetLength(Prop,Nrows+1,Ncols+1);
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SetLength(Expected,Nrows,Ncols);
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SetLength(CellChi,Nrows,Ncols);
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SetLength(RowLabels,Nrows+1);
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SetLength(ColLabels,Ncols+1);
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for i := 1 to Nrows + 1 do
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for j := 1 to Ncols + 1 do Freq[i-1,j-1] := 0;
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// get cell data
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NCases := 0;
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case InputGrp.ItemIndex of
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0 : begin // count number of cases in each row and column combination
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for i := 1 to NoCases do
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begin
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if not GoodRecord(i,NoSelected,ColNoSelected) then continue;
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NCases := NCases + 1;
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Row := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[RowNo,i])));
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Col := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[ColNo,i])));
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Row := Row - MinRow + 1;
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Col := Col - MinCol + 1;
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Freq[Row-1,Col-1] := Freq[Row-1,Col-1] + 1;
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end;
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end;
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1 : begin // read frequencies data from grid
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for i := 1 to NoCases do
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begin
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if not GoodRecord(i,NoSelected,ColNoSelected) then continue;
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Row := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[RowNo,i])));
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Col := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[ColNo,i])));
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Row := Row - MinRow + 1;
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Col := Col - MinCol + 1;
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FObs := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[DepNo,i])));
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Freq[Row-1,Col-1] := Freq[Row-1,Col-1] + FObs;
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NCases := NCases + FObs;
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end;
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end;
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2 : begin // get no. of cases and proportions for each cell
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NCases := StrToInt(NCasesEdit.Text);
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for i := 1 to NoCases do
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begin
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if not GoodRecord(i,NoSelected,ColNoSelected) then continue;
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Row := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[RowNo,i])));
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Col := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[ColNo,i])));
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Row := Row - MinRow + 1;
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Col := Col - MinCol + 1;
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PObs := StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[DepNo,i]));
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Freq[Row-1,Col-1] := Freq[Row-1,Col-1] + round(PObs * NCases);
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end;
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end;
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end; // end case
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Freq[Nrows,Ncols] := NCases;
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// Now, calculate expected values
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// Get row totals first
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for i := 1 to Nrows do
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for j := 1 to Ncols do
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Freq[i-1,Ncols] := Freq[i-1,Ncols] + Freq[i-1,j-1];
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// Get col totals next
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for j := 1 to Ncols do
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for i := 1 to Nrows do
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Freq[Nrows,j-1] := Freq[Nrows,j-1] + Freq[i-1,j-1];
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// Then get expected values and cell chi-squares
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ChiSquare := 0.0;
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AdjChisqr := 0.0;
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if (YatesChk.Checked) and (Nrows = 2) and (Ncols = 2) then yates := true;
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for i := 1 to Nrows do
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begin
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for j := 1 to Ncols do
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begin
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Expected[i-1,j-1] := Freq[Nrows,j-1] * Freq[i-1,Ncols] / NCases;
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if Expected[i-1,j-1] > 0.0 then
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CellChi[i-1,j-1] := sqr(Freq[i-1,j-1] - Expected[i-1,j-1])
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/ Expected[i-1,j-1]
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else begin
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ShowMessage('ERROR! Zero expected value found.');
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CellChi[i-1,j-1] := 0.0;
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end;
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ChiSquare := ChiSquare + CellChi[i-1,j-1];
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end;
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end;
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df := (Nrows - 1) * (Ncols - 1);
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if yates = true then // 2 x 2 corrected chi-square
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begin
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Adjchisqr := abs((Freq[0,0] * Freq[1,1]) - (Freq[0,1] * Freq[1,0]));
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Adjchisqr := sqr(Adjchisqr - NCases / 2.0) * NCases; // numerator
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Adjchisqr := Adjchisqr / (Freq[0,2] * Freq[1,2] * Freq[2,0] * Freq[2,1]);
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Adjprobchi := 1.0 - chisquaredprob(Adjchisqr,df);
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end;
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ProbChi := 1.0 - chisquaredprob(ChiSquare,df); // prob. larger chi
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//Print results to output form
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OutPutFrm.RichEdit.Clear;
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OutPutFrm.RichEdit.Lines.Add('Chi-square Analysis Results');
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OutPutFrm.RichEdit.Lines.Add('');
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// print tables requested by use
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for i := 1 to Nrows do RowLabels[i-1] := format('Row %d',[i]);
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RowLabels[Nrows] := 'Total';
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for j := 1 to Ncols do ColLabels[j-1] := format('COL.%d',[j]);
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ColLabels[Ncols] := 'Total';
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if ObsChk.Checked then
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begin
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IntArrayPrint(Freq, Nrows+1, Ncols+1,'Rows',
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RowLabels, ColLabels,'OBSERVED FREQUENCIES');
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OutPutFrm.ShowModal;
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OutPutFrm.RichEdit.Clear;
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end;
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if ExpChk.Checked then
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begin
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title := 'EXPECTED FREQUENCIES';
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MAT_Print(Expected,Nrows,Ncols,title,RowLabels,ColLabels,NCases);
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OutPutFrm.ShowModal;
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OutPutFrm.RichEdit.Clear;
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end;
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if PropsChk.Checked then
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begin
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title := 'ROW PROPORTIONS';
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for i := 1 to Nrows + 1 do
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begin
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for j := 1 to Ncols do
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begin
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if Freq[i-1,Ncols] > 0.0 then
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Prop[i-1,j-1] := Freq[i-1,j-1] / Freq[i-1,Ncols]
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else Prop[i-1,j-1] := 0.0;
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end;
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if Freq[i-1,Ncols] > 0.0 then Prop[i-1,Ncols] := 1.0
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else Prop[i-1,Ncols] := 0.0;
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end;
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MAT_PRINT(Prop,Nrows+1,Ncols+1,title,RowLabels,ColLabels,NCases);
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title := 'COLUMN PROPORTIONS';
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for j := 1 to Ncols + 1 do
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begin
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for i := 1 to Nrows do
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begin
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if Freq[Nrows,j-1] > 0.0 then
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Prop[i-1,j-1] := Freq[i-1,j-1] / Freq[Nrows,j-1]
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else Prop[i-1,j-1] := 0.0;
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end;
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if Freq[Nrows,j-1] > 0.0 then Prop[NRows,j-1] := 1.0
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else Prop[NRows,j-1] := 0.0;
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end;
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MAT_PRINT(Prop,Nrows+1,Ncols+1,title,RowLabels,ColLabels,NCases);
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Title := 'PROPORTIONS OF TOTAL N';
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for i := 1 to Nrows + 1 do
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for j := 1 to Ncols + 1 do Prop[i-1,j-1] := Freq[i-1,j-1] / NCases;
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Prop[Nrows,Ncols] := 1.0;
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MAT_PRINT(Prop,Nrows+1,Ncols+1,title,RowLabels,ColLabels,NCases);
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OutPutFrm.ShowModal;
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OutPutFrm.RichEdit.Clear;
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end;
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if CellChiChk.Checked then
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begin
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title := 'CHI-SQUARED VALUE FOR CELLS';
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MAT_PRINT(CellChi,Nrows,Ncols,title,RowLabels,ColLabels,NCases);
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OutPutFrm.ShowModal;
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OutPutFrm.RichEdit.Clear;
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end;
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outline := format('Chi-square = %8.3f with D.F. = %d. Prob. > value = %8.3f',
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[ChiSquare,df,ProbChi]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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OutPutFrm.RichEdit.Lines.Add('');
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if yates = true then
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begin
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outline := format('Chi-square using Yates correction = %8.3f and Prob > value = %8.3f',
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[Adjchisqr,Adjprobchi]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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end;
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liklihood := 0.0;
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for i := 0 to Nrows-1 do
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for j := 0 to Ncols-1 do
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if (Freq[i,j] > 0.0) then
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liklihood := Liklihood + (Freq[i,j] * (ln(Expected[i,j] / Freq[i,j])));
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liklihood := -2.0 * liklihood;
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probliklihood := 1.0 - chisquaredprob(liklihood,df);
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outline := format('Liklihood Ratio = %8.3f with prob. > value = %6.4f',
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[liklihood,probliklihood]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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OutPutFrm.RichEdit.Lines.Add('');
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G := 0.0;
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for i := 0 to Nrows-1 do
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for j := 0 to Ncols-1 do
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if (Expected[i,j] > 0) then
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G := G + Freq[i,j] * (ln(Freq[i,j] / Expected[i,j]));
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G := 2.0 * G;
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probliklihood := 1.0 - chisquaredprob(G,df);
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outline := format('G statistic = %8.3f with prob. > value = %6.4f',[G,probliklihood]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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OutPutFrm.RichEdit.Lines.Add('');
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if ((Nrows > 1) and (Ncols > 1)) then
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begin
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phi := sqrt(ChiSquare / Ncases);
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outline := format('phi correlation = %6.4f',[phi]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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OutPutFrm.RichEdit.Lines.Add('');
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pearsonr := 0.0;
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SumX := 0.0;
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SumY := 0.0;
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VarX := 0.0;
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VarY := 0.0;
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for i := 0 to Nrows-1 do SumX := SumX + ( (i+1) * Freq[i,Ncols] );
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for j := 0 to Ncols-1 do SumY := SumY + ( (j+1) * Freq[Nrows,j] );
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for i := 0 to Nrows-1 do VarX := VarX + ( ((i+1)*(i+1)) * Freq[i,Ncols] );
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for j := 0 to Ncols-1 do VarY := VarY + ( ((j+1)*(j+1)) * Freq[Nrows,j] );
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VarX := VarX - ((SumX * SumX) / Ncases);
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VarY := VarY - ((SumY * SumY) / Ncases);
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for i := 0 to Nrows-1 do
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for j := 0 to Ncols-1 do
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pearsonr := pearsonr + ((i+1)*(j+1) * Freq[i,j]);
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pearsonr := pearsonr - (SumX * SumY / Ncases);
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pearsonr := pearsonr / sqrt(VarX * VarY);
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outline := format('Pearson Correlation r = %6.4f',[pearsonr]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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OutPutFrm.RichEdit.Lines.Add('');
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MantelHaenszel := (Ncases-1) * (pearsonr * pearsonr);
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MHprob := 1.0 - chisquaredprob(MantelHaenszel,1);
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outline := format('Mantel-Haenszel Test of Linear Association = %8.3f with probability > value = %6.4f',
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[MantelHaenszel, MHprob]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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OutPutFrm.RichEdit.Lines.Add('');
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CoefCont := sqrt(ChiSquare / (ChiSquare + Ncases));
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outline := format('The coefficient of contingency = %8.3f',[CoefCont]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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OutPutFrm.RichEdit.Lines.Add('');
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if (Nrows < Ncols) then
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CramerV := sqrt(ChiSquare / (Ncases * ((Nrows-1))))
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else CramerV := sqrt(ChiSquare / (Ncases * ((Ncols-1))));
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outline := format('Cramers V = %8.3f',[CramerV]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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OutPutFrm.RichEdit.Lines.Add('');
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|
end;
|
|
|
|
OutPutFrm.ShowModal;
|
|
OutPutFrm.RichEdit.Clear;
|
|
|
|
// save frequency data file if elected
|
|
if SaveFChk.Checked then
|
|
begin
|
|
OS3MainFrm.CloseFileBtnClick(self);
|
|
OS3MainFrm.FileNameEdit.Text := '';
|
|
for i := 1 to DictionaryFrm.DictGrid.RowCount - 1 do
|
|
for j := 0 to 7 do DictionaryFrm.DictGrid.Cells[j,i] := '';
|
|
DictionaryFrm.DictGrid.RowCount := 1;
|
|
// DictionaryFrm.FileNameEdit.Text := '';
|
|
|
|
// get labels for new file
|
|
ColLabels[0] := 'ROW';
|
|
ColLabels[1] := 'COL';
|
|
ColLabels[2] := 'FREQ';
|
|
// create new variables
|
|
Row := 0;
|
|
OS3MainFrm.DataGrid.ColCount := 4;
|
|
DictionaryFrm.DictGrid.ColCount := 8;
|
|
NoVariables := 0;
|
|
for i := 1 to 3 do
|
|
begin
|
|
col := NoVariables + 1;
|
|
DictionaryFrm.NewVar(col);
|
|
DictionaryFrm.DictGrid.Cells[1,col] := ColLabels[i-1];
|
|
OS3MainFrm.DataGrid.Cells[col,0] := ColLabels[i-1];
|
|
NoVariables := NoVariables + 1;
|
|
end;
|
|
OS3MainFrm.DataGrid.RowCount := (Nrows * NCols) + 1;
|
|
for i := 1 to Nrows do
|
|
begin
|
|
for j := 1 to Ncols do
|
|
begin
|
|
Row := Row + 1;
|
|
OS3MainFrm.DataGrid.Cells[0,Row] := format('Case:%d',[Row]);
|
|
OS3MainFrm.DataGrid.Cells[1,Row] := IntToStr(i);
|
|
OS3MainFrm.DataGrid.Cells[2,Row] := IntToStr(j);
|
|
OS3MainFrm.DataGrid.Cells[3,Row] := IntToStr(Freq[i-1,j-1]);
|
|
end;
|
|
end;
|
|
NoCases := Row;
|
|
OS3MainFrm.FileNameEdit.Text := 'ChiSqrFreq.LAZ';
|
|
OS3MainFrm.NoCasesEdit.Text := IntToStr(NoCases);
|
|
OS3MainFrm.NoVarsEdit.Text := IntToStr(NoVariables);
|
|
// OS3MainFrm.SaveFileBtnClick(self);
|
|
end;
|
|
|
|
//clean up
|
|
ColLabels := nil;
|
|
RowLabels := nil;
|
|
CellChi := nil;
|
|
Expected := nil;
|
|
Prop := nil;
|
|
Freq := nil;
|
|
ColNoSelected := nil;
|
|
ResetBtnClick(self);
|
|
end;
|
|
|
|
procedure TChiSqrFrm.DepInClick(Sender: TObject);
|
|
VAR index : integer;
|
|
begin
|
|
index := VarList.ItemIndex;
|
|
DepEdit.Text := VarList.Items.Strings[index];
|
|
VarList.Items.Delete(index);
|
|
DepIn.Visible := false;
|
|
DepOut.Visible := true;
|
|
end;
|
|
|
|
procedure TChiSqrFrm.DepOutClick(Sender: TObject);
|
|
begin
|
|
VarList.Items.Add(DepEdit.Text);
|
|
DepEdit.Text := '';
|
|
DepIn.Visible := true;
|
|
DepOut.Visible := false;
|
|
end;
|
|
|
|
procedure TChiSqrFrm.InputGrpClick(Sender: TObject);
|
|
VAR index : integer;
|
|
begin
|
|
index := InputGrp.ItemIndex;
|
|
if index = 2 then // only proportions available - get N size
|
|
begin
|
|
NCasesLabel.Visible := true;
|
|
AnalyzeLabel.Visible := true;
|
|
NCasesEdit.Visible := true;
|
|
NCasesEdit.SetFocus;
|
|
DepIn.Visible := true;
|
|
DepOut.Visible := false;
|
|
DepEdit.Visible := true;
|
|
end;
|
|
if index = 1 then // frequencies available for each row and column combo
|
|
begin
|
|
NCasesLabel.Visible := false;
|
|
NCasesEdit.Visible := false;
|
|
DepIn.Visible := true;
|
|
DepEdit.Visible := true;
|
|
AnalyzeLabel.Visible := true;
|
|
end;
|
|
if index = 0 then // have to count cases in each row and col. combination
|
|
begin
|
|
NCasesLabel.Visible := false;
|
|
NCasesEdit.Visible := false;
|
|
DepIn.Visible := false;
|
|
DepOut.Visible := false;
|
|
DepEdit.Visible := false;
|
|
end;
|
|
end;
|
|
|
|
initialization
|
|
{$I chisqrunit.lrs}
|
|
|
|
end.
|
|
|