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git-svn-id: https://svn.code.sf.net/p/lazarus-ccr/svn@7882 8e941d3f-bd1b-0410-a28a-d453659cc2b4
457 lines
14 KiB
Plaintext
457 lines
14 KiB
Plaintext
unit ExactUnit;
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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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Globals, DataProcs, Math;
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type
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{ TFisherFrm }
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TFisherFrm = 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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RC11Edit: TEdit;
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RC12Edit: TEdit;
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RC21Edit: TEdit;
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RC22Edit: TEdit;
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Label6: TLabel;
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Label7: TLabel;
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Label8: TLabel;
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Label9: TLabel;
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NCasesEdit: TEdit;
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NCasesLabel: TLabel;
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Panel2: TPanel;
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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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ColEdit: TEdit;
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DepEdit: TEdit;
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RowEdit: 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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Label4: TLabel;
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VarList: TListBox;
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Panel1: TPanel;
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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 RC11EditKeyPress(Sender: TObject; var Key: char);
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procedure RC12EditKeyPress(Sender: TObject; var Key: char);
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procedure RC21EditKeyPress(Sender: TObject; var Key: char);
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procedure RC22EditKeyPress(Sender: TObject; var Key: char);
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procedure ResetBtnClick(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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procedure FisherTable(A, b, C, d : integer; p, SumP : double);
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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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FisherFrm: TFisherFrm;
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implementation
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{ TFisherFrm }
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procedure TFisherFrm.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 := false;
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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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Label4.Visible := false;
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NCasesEdit.Text := '';
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NCasesEdit.Visible := 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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Panel1.Visible := false;
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Panel2.Visible := false;
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RC11Edit.Text := '';
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RC12Edit.Text := '';
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RC21Edit.Text := '';
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RC22Edit.Text := '';
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end;
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procedure TFisherFrm.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 TFisherFrm.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 TFisherFrm.FormShow(Sender: TObject);
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begin
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ResetBtnClick(self);
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end;
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procedure TFisherFrm.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 TFisherFrm.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 TFisherFrm.ComputeBtnClick(Sender: TObject);
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var
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i, j, row, col, caserow, casecol, A, b, C, d, Largest : integer;
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N, APlusB, APlusC, BPlusD, CPlusD, NoSelected, dep : integer;
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FirstP, p, SumProb, Tocher, Alpha, X : double;
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obs : array[1..2,1..2] of integer;
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ColNoSelected : IntDyneVec;
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done : boolean;
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cellstring, outline, response : string;
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begin
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Randomize; // initialize random number generator
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row := 0;
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col := 0;
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dep := 0;
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// get column no.s of row and col variables
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if InputGrp.ItemIndex <> 3 then
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begin
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for i := 1 to NoVariables do
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begin
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cellstring := RowEdit.Text;
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if cellstring = OS3MainFrm.DataGrid.Cells[i,0] then row := i;
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cellstring := ColEdit.Text;
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if cellstring = OS3MainFrm.DataGrid.Cells[i,0] then col := i;
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if InputGrp.ItemIndex = 2 then
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begin
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cellstring := DepEdit.Text;
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if cellstring = OS3MainFrm.DataGrid.Cells[i,0] then dep := i;
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end;
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end;
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end;
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SetLength(ColNoSelected,3);
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ColNoSelected[0] := row;
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ColNoSelected[1] := col;
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if InputGrp.ItemIndex = 2 then
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begin
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ColNoSelected[2] := dep;
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NoSelected := 3;
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end
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else NoSelected := 2;
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//initialize observed matrix
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for i := 1 to 2 do
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for j := 1 to 2 do obs[i,j] := 0;
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if InputGrp.ItemIndex = 3 then // get freq. from form
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begin
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obs[1,1] := StrToInt(RC11Edit.Text);
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obs[1,2] := StrToInt(RC12Edit.Text);
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obs[2,1] := StrToInt(RC21Edit.Text);
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obs[2,2] := StrToInt(RC22Edit.Text);
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end;
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if InputGrp.ItemIndex = 0 then // count no. in row/col combinations
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begin
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for j := 1 to NoCases do
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begin
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if (not GoodRecord(j,NoSelected,ColNoSelected)) then continue;
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caserow := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[row,j])));
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casecol := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[col,j])));
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if (caserow > 2) or (caserow < 1) then
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begin
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ShowMessage('ERROR! Row < 1 or > 2 found. Case ignored.');
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continue;
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end;
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if (casecol > 2) or (casecol < 1) then
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begin
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ShowMessage('ERROR! Column < 1 or > 2 found. Case ignored.');
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continue;
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end;
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obs[caserow,casecol] := obs[caserow,casecol] + 1;
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end;
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end;
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if (InputGrp.ItemIndex = 1) or (InputGrp.ItemIndex = 2) then // Grid has frequencies for row/col
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begin
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for j := 1 to NoCases do
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begin
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if (not GoodRecord(j,NoSelected,ColNoSelected)) then continue;
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caserow := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[row,j])));
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casecol := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[col,j])));
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if (caserow > 2) or (caserow < 1) then
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begin
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ShowMessage('ERROR! Row < 1 or > 2 found. Case ignored.');
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continue;
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end;
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if (casecol > 2) or (casecol < 1) then
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begin
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ShowMessage('ERROR! Column < 1 or > 2 found. Case ignored.');
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continue;
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end;
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obs[caserow,casecol] := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[dep,j])));
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if InputGrp.ItemIndex = 2 then
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obs[caserow,casecol] := obs[caserow,casecol] *
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StrToInt(NCasesEdit.Text);
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end;
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end;
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//Find smallest value
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A := obs[1,1];
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b := obs[1,2];
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C := obs[2,1];
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d := obs[2,2];
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APlusB := A + b;
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CPlusD := C + d;
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BPlusD := b + d;
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APlusC := A + C;
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N := A + b + C + d;
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Largest := 1;
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if (b > A) then largest := 2;
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if ((b > A) and (b > C) and (b > d)) then Largest := 2;
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if ((C > A) and (C > b) and (C > d)) then Largest := 3;
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if ((d > A) and (d > b) and (d > C)) then Largest := 4;
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//Ready output
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OutPutFrm.RichEdit.Clear;
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SumProb := 0.0;
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OutPutFrm.RichEdit.Lines.Add('Fisher Exact Probability Test');
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OutPutFrm.RichEdit.Lines.Add('');
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//Get first probability
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FirstP := combos(A, APlusC) * combos(b, BPlusD) / combos(APlusB, N);
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SumProb := SumProb + FirstP;
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FisherTable(A, b, C, d, FirstP, SumProb);
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//Get more extreme probabilities
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done := false;
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while (not done) do
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begin
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case Largest of
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1: begin// top row, first col
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if (A = APlusB) then done := true
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else begin
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A := A + 1;
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b := b - 1;
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C := C - 1;
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d := d + 1;
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end;
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end;
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2: begin// top row, second column
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if (b = APlusB) then done := true
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else begin
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A := A - 1;
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b := b + 1;
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C := C + 1;
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d := d - 1;
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end;
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end;
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3: begin // second row, first column
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if (C = CPlusD) then done := true
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else begin
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A := A - 1;
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b := b + 1;
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C := C + 1;
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d := d - 1;
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end;
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end;
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4: begin // second row, second column
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if (d = CPlusD) then done := true
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else begin
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A := A + 1;
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b := b - 1;
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C := C - 1;
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d := d + 1;
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end;
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end;
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end; // end case
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if (not done) then
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begin
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p := combos(A, APlusC) * combos(b, BPlusD) / combos(APlusB, N);
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SumProb := SumProb + p;
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FisherTable(A, b, C, d, p, SumProb);
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end;
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end;
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//Tocher's modification
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response :=
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InputBox( 'ALPHA','Enter your Alpha (Type I Error rate) : ', '0.05');
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Alpha := StrToFloat(response);
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if ((SumProb - FirstP) > Alpha) then //Extreme values > alpha - accept null hypothesis
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OutPutFrm.RichEdit.Lines.Add('Null hypothesis accepted.')
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else begin//Extreme values significant - is total probability significant?
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if (SumProb >= Alpha) then//No, so apply Tocher's rule
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begin
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Tocher := ( Alpha - (SumProb - FirstP)) / FirstP;
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X := random(1000) / 1000.0; //Select a random value between 0 and num - 1
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outline := format('Tocher ratio computed: %5.3f',[Tocher]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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if (X < Tocher) then //Call it significant
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begin
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outline := format('A random value of %5.3f selected was less than the Tocher value.',[X]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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OutPutFrm.RichEdit.Lines.Add('Conclusion: Reject the null Hypothesis');
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end
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else begin //Call it non-significant
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outline := format('A random value of %5.3f selected was greater than the Tocher value.',[X]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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OutPutFrm.RichEdit.Lines.Add('Conclusion: Accept the null Hypothesis');
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end;
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end
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else begin //Total probability < alpha - reject null
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OutPutFrm.RichEdit.Lines.Add('Probability less than alpha - reject null hypothesis.');
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end; // end if-else
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end; // end if-else
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OutPutFrm.ShowModal;
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end;
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procedure TFisherFrm.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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DepEdit.Text := VarList.Items.Strings[index];
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VarList.Items.Delete(index);
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DepIn.Visible := false;
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DepOut.Visible := true;
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end;
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procedure TFisherFrm.DepOutClick(Sender: TObject);
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begin
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VarList.Items.Add(DepEdit.Text);
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DepEdit.Text := '';
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DepIn.Visible := true;
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DepOut.Visible := false;
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end;
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procedure TFisherFrm.InputGrpClick(Sender: TObject);
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begin
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if InputGrp.ItemIndex = 3 then
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begin
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Panel2.Visible := true;
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Panel1.Visible := false;
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RC11Edit.SetFocus;
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Label4.Visible := false;
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ColIn.Visible := false;
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DepIn.Visible := false;
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DepOut.Visible := false;
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end
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else
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begin
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Panel1.Visible := true;
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Panel2.Visible := false;
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ColIn.Visible := true;
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ColOut.Visible := false;
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if InputGrp.ItemIndex = 2 then
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begin
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NCasesLabel.Visible := true;
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NCasesEdit.Visible := true;
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end
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else begin
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NCasesLabel.Visible := false;
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NCasesEdit.Visible := false;
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end;
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if InputGrp.ItemIndex = 0 then
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begin
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Label4.Visible := false;
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DepEdit.Visible := false;
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DepIn.Visible := false;
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DepOut.Visible := false;
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end
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else begin // InputGrp = 1
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Label4.Visible := true;
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DepEdit.Visible := true;
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DepIn.Visible := true;
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DepOut.Visible := true;
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end;
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end;
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end;
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procedure TFisherFrm.RC11EditKeyPress(Sender: TObject; var Key: char);
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begin
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if Ord(Key) = 13 then RC12Edit.SetFocus;
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end;
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procedure TFisherFrm.RC12EditKeyPress(Sender: TObject; var Key: char);
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begin
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if Ord(Key) = 13 then RC21Edit.SetFocus;
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end;
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procedure TFisherFrm.RC21EditKeyPress(Sender: TObject; var Key: char);
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begin
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if Ord(Key) = 13 then RC22Edit.SetFocus;
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end;
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procedure TFisherFrm.RC22EditKeyPress(Sender: TObject; var Key: char);
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begin
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if Ord(Key) = 13 then ComputeBtn.SetFocus;
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end;
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procedure TFisherFrm.FisherTable(A, b, C, d : integer; p, SumP : double);
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var
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outline : string;
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begin
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OutPutFrm.RichEdit.Lines.Add('');
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OutPutFrm.RichEdit.Lines.Add('Contingency Table for Fisher Exact Test');
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OutPutFrm.RichEdit.Lines.Add(' Column');
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OutPutFrm.RichEdit.Lines.Add('Row 1 2');
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outline := format(' 1 %10d %10d',[A, b]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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outline := format(' 2 %10d %10d',[C, d]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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outline := format('Probability := %6.4f',[p]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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OutPutFrm.RichEdit.Lines.Add('');
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outline := format('Cumulative Probability := %6.4f',[SumP]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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OutPutFrm.RichEdit.Lines.Add('');
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end;
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initialization
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{$I exactunit.lrs}
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end.
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