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465 lines
16 KiB
ObjectPascal
465 lines
16 KiB
ObjectPascal
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unit TtestUnit;
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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, MainUnit, Globals, FunctionsLib, OutPutUnit, DataProcs;
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type
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{ TTtestFrm }
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TTtestFrm = class(TForm)
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RadioGroup3: TRadioGroup;
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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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CorBetweenLabel: TLabel;
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Cor12: TEdit;
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CInterval: TEdit;
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Grp: TEdit;
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GroupCodeBtn: TRadioButton;
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Label1: TLabel;
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Memo1: TMemo;
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Var2: TEdit;
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Var1: TEdit;
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FirstVarLabel: TLabel;
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GrpLabel: TLabel;
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SecdVarLabel: TLabel;
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ListBox1: TListBox;
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SelVarLabel: TLabel;
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N2: TEdit;
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N1: TEdit;
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SampSize2Label: TLabel;
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SampSize1Label: TLabel;
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SD2: TEdit;
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SD1: TEdit;
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SD2Label: TLabel;
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SD1Label: TLabel;
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Mean2: TEdit;
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Mean1: TEdit;
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Mean2Label: TLabel;
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Mean1Label: TLabel;
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Panel1: TPanel;
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Panel2: TPanel;
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RadioGroup1: TRadioGroup;
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RadioGroup2: TRadioGroup;
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procedure ComputeBtnClick(Sender: TObject);
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procedure FormShow(Sender: TObject);
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procedure ListBox1Click(Sender: TObject);
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procedure RadioGroup1Click(Sender: TObject);
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procedure RadioGroup2Click(Sender: TObject);
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procedure ResetBtnClick(Sender: TObject);
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private
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{ private declarations }
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independent : boolean;
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griddata : boolean;
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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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TtestFrm: TTtestFrm;
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implementation
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{ TTtestFrm }
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procedure TTtestFrm.ResetBtnClick(Sender: TObject);
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VAR i : integer;
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begin
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RadioGroup1.ItemIndex := 0;
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RadioGroup2.ItemIndex := 0;
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Panel1.Visible := false;
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Panel2.Visible := true;
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ListBox1.Clear;
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Var1.Text := '';
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Var2.Text := '';
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Mean1.Text := '';
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Mean2.Text := '';
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SD1.Text := '';
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SD2.Text := '';
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N1.Text := '';
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N2.Text := '';
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Cor12.Text := '';
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independent := true;
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griddata := false;
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CorBetweenLabel.Visible := false;
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Cor12.Visible := false;
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GroupCodeBtn.Checked := false;
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Grp.Text := '';
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for i := 1 to NoVariables do
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ListBox1.Items.Add(OS3MainFrm.DataGrid.Cells[i,0]);
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GrpLabel.Visible := false;
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Grp.Visible := false;
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Grp.Text := '';
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end;
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procedure TTtestFrm.FormShow(Sender: TObject);
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begin
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ResetBtnClick(self);
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end;
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procedure TTtestFrm.ComputeBtnClick(Sender: TObject);
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var
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M1, M2, Dif, stddev1, stddev2, r12, z, stderr1, stderr2 : double;
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tequal, tunequal, cov12, lowci, hici, F, Fp, df1, df2 : double;
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tprobability, zprobability, stderrt, stderrz, value1, value2 : double;
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variance1, variance2, pooled, sedif, df, ConfInt, tconfint : double;
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i, j, v1, v2, ncases1, ncases2, NoSelected : integer;
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group, min, max : integer;
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ColNoSelected : IntDyneVec;
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response, cellstring, label1Str, label2Str, outline : string;
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begin
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SetLength(ColNoSelected,NoVariables);
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ncases1 := 0;
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ncases2 := 0;
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variance1 := 0.0;
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variance2 := 0.0;
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M1 := 0.0;
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M2 := 0.0;
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Dif := 0.0;
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r12 := 0.0;
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v1 := 0;
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v2 := 0;
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stddev1 := 0.0;
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stddev2 := 0.0;
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ConfInt := (100.0 - StrToFloat(CInterval.Text)) / 2.0 ;
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ConfInt := (100.0 - ConfInt) / 100.0; // one tail
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if independent then Var2.Text := Grp.Text;
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if griddata then // data read from grid
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begin
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for i := 1 to NoVariables do
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begin
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if Var1.Text = OS3MainFrm.DataGrid.Cells[i,0] then
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begin
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v1 := i;
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ColNoSelected[0] := i;
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label1Str := Var1.Text;
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end;
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if Var2.Text = OS3MainFrm.DataGrid.Cells[i,0] then
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begin
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v2 := i;
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ColNoSelected[1] := i;
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label2Str := Var2.Text;
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end;
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end; // next variable
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ncases1 := 0;
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ncases2 := 0;
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NoSelected := 2;
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M1 := 0.0;
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M2 := 0.0;
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variance1 := 0.0;
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variance2 := 0.0;
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r12 := 0.0;
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if not independent then // correlated data
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begin
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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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ncases1 := ncases1 + 1;
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value1 := StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[v1,i]));
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value2 := StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[v2,i]));
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M1 := M1 + value1;
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M2 := M2 + value2;
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variance1 := variance1 + (value1 * value1);
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variance2 := variance2 + (value2 * value2);
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r12 := r12 + value1 * value2;
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end;
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ncases2 := ncases1;
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variance1 := variance1 - ((M1 * M1) / ncases1);
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variance1 := variance1 / (ncases1 - 1);
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stddev1 := sqrt(variance1);
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variance2 := variance2 - ((M2 * M2) / ncases2);
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variance2 := variance2 / (ncases2 - 1);
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stddev2 := sqrt(variance2);
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r12 := r12 - ((M1 * M2) / ncases1);
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r12 := r12 / (ncases1 - 1);
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cov12 := r12;
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r12 := r12 / (stddev1 * stddev2);
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M1 := M1 / ncases1;
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M2 := M2 / ncases2;
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Dif := M1 - M2;
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end; //if not independent
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if independent then
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begin
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if GroupCodeBtn.Checked then
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begin
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response := InputBox('Group 1','Enter the code for group 1','1');
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min := StrToInt(response);
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response := InputBox('Group 2','Enter the code for group 2','2');
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max := StrToInt(response);
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end
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else begin
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min := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[v2,1])));
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max := min;
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end;
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for i := 2 to NoCases do
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begin
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if not GoodRecord(i,NoSelected,ColNoSelected) then continue;
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group := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[v2,i])));
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if GroupCodeBtn.Checked = false then
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begin
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if group < min then min := group;
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if group > max then max := group;
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end;
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end;
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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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value1 := StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[v1,i]));
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value2 := StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[v2,i]));
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group := round(value2);
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if group = min then
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begin
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M1 := M1 + value1;
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variance1 := variance1 + (value1 * value1);
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ncases1 := ncases1 + 1;
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end
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else if group = max then
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begin
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M2 := M2 + value1;
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variance2 := variance2 + (value1 * value1);
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ncases2 := Ncases2 + 1;
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end;
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end; // next case
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variance1 := variance1 - ((M1 * M1) / ncases1);
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variance1 := variance1 / (ncases1 - 1);
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stddev1 := sqrt(variance1);
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variance2 := variance2 - ((M2 * M2) / ncases2);
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variance2 := variance2 / (ncases2 - 1);
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stddev2 := sqrt(variance2);
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M1 := M1 / ncases1;
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M2 := M2 / ncases2;
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Dif := M1 - M2;
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Label1Str := format('Group %d',[min]);
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Label2Str := format('Group %d',[max]);
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end; // if independent data
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end; // if reading grid data
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if not griddata then // data read from form
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begin
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M1 := StrToFloat(Mean1.Text);
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M2 := StrToFloat(Mean2.Text);
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stddev1 := StrToFloat(SD1.Text);
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stddev2 := StrToFloat(SD2.Text);
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ncases1 := round(StrToFloat(N1.Text));
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ncases2 := round(StrToFloat(N2.Text));
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variance1 := stddev1 * stddev1;
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variance2 := stddev2 * stddev2;
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Label1Str := 'Group 1';
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Label2Str := 'Group 2';
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Dif := M1 - M2;
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if not independent then
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begin
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r12 := StrToFloat(Cor12.Text);
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cov12 := r12 * stddev1 * stddev2;
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end;
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end;
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// Initialize output form
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OutPutFrm.RichEdit.Clear;
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OutPutFrm.RichEdit.Lines.Add('COMPARISON OF TWO MEANS');
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OutPutFrm.RichEdit.Lines.Add('');
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// OutPutFrm.RichEdit.ParaGraph.Alignment := taLeftJustify;
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// Calculate pooled and independent t and z values and test statistic
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if independent then
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begin
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stderr1 := sqrt(variance1 / ncases1);
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Stderr2 := sqrt(variance2 / ncases2);
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OutPutFrm.RichEdit.Lines.Add('Variable Mean Variance Std.Dev. S.E.Mean N');
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outline := format('%-10s%8.2f %8.2f %8.2f %8.2f %d',
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[Label1Str,M1, variance1, stddev1, stderr1, ncases1]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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outline := format('%-10s%8.2f %8.2f %8.2f %8.2f %d',
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[Label2Str, M2, variance2, stddev2, stderr2, ncases2]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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pooled := ((ncases1-1) * variance1) + ((ncases2-1) * variance2);
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pooled := pooled / (ncases1 + ncases2 - 2);
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pooled := pooled * ( 1.0 / ncases1 + 1.0 / ncases2);
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sedif := sqrt(pooled);
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tequal := dif / sedif;
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df := ncases1 + ncases2 - 2;
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tprobability := probt(tequal,df);
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if RadioGroup3.ItemIndex = 1 then tprobability := 0.5 * tprobability;
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outline := format('Assuming = variances, t = %8.3f with probability = %6.4f and %3.0f degrees of freedom',
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[tequal, tprobability, df]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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outline := format('Difference = %8.2f and Standard Error of difference = %8.2f',
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[dif, sedif]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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tconfint := inverset(ConfInt,df);
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lowci := dif - tconfint * sedif;
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hici := dif + tconfint * sedif;
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outline := format('Confidence interval = (%8.2f,%8.2f)',[lowci,hici]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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// now for unequal variances
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sedif := sqrt((variance1 / ncases1) + (variance2 / ncases2));
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tunequal := dif / sedif;
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df := sqr((variance1 / ncases1) + (variance2 / ncases2));
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df := df / (sqr(variance1 / ncases1) / (ncases1 - 1) +
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sqr(variance2 / ncases2) / (ncases2 - 1) );
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tprobability := probt(tequal,df);
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if RadioGroup3.ItemIndex = 1 then tprobability := 0.5 * tprobability;
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outline := format('Assuming unequal variances, t = %8.3f with probability = %6.4f and %5.2f degrees of freedom',
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[tunequal, tprobability, df]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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outline := format('Difference = %8.2f and Standard Error of difference = %8.2f',
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[dif, sedif]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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tconfint := inverset(ConfInt,df);
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lowci := dif - tconfint * sedif;
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hici := dif + tconfint * sedif;
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outline := format('Confidence interval = (%8.2f,%8.2f)',[lowci,hici]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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df1 := ncases1 - 1;
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df2 := ncases2 - 1;
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if variance1 > variance2 then
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begin
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F := variance1 / variance2;
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Fp := probf(F,df1,df2);
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end
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else
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begin
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F := variance2 / variance1;
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Fp := probf(F,df2,df1);
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end;
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outline := format('F test for equal variances = %8.3f, Probability = %6.4f',
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[F, fp]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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end
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else
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begin // dependent t test
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stderr1 := sqrt(variance1 / ncases1);
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Stderr2 := sqrt(variance2 / ncases2);
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OutPutFrm.RichEdit.Lines.Add('Variable Mean Variance Std.Dev. S.E.Mean N');
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outline := format('%-10s%8.2f %8.2f %8.2f %8.2f %d',
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[Label1Str ,M1, variance1, stddev1, stderr1, ncases1]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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|
|
outline := format('%-10s%8.2f %8.2f %8.2f %8.2f %d',
|
||
|
|
[Label2Str,M2, variance2, stddev2, stderr2, ncases2]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
sedif := variance1 + variance2 - (2.0 * cov12);
|
||
|
|
sedif := sqrt(sedif / ncases1);
|
||
|
|
tequal := Dif / sedif;
|
||
|
|
df := ncases1 - 1;
|
||
|
|
tprobability := probt(tequal,df);
|
||
|
|
outline := format('Assuming dependent samples, t = %8.3f with probability = %6.4f and %3.0f degrees of freedom',
|
||
|
|
[tequal, tprobability, df]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Correlation between %s and %s = %6.3f',
|
||
|
|
[Label1Str,Label2Str,r12]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
outline := format('Difference = %8.2f and Standard Error of difference = %8.2f',
|
||
|
|
[dif, sedif]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
tconfint := inverset(ConfInt,df);
|
||
|
|
lowci := dif - tconfint * sedif;
|
||
|
|
hici := dif + tconfint * sedif;
|
||
|
|
outline := format('Confidence interval = (%8.2f,%8.2f)',
|
||
|
|
[lowci,hici]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
tequal := variance1 - variance2;
|
||
|
|
tequal := tequal / sqrt( (4 * variance1 * variance2)/(ncases1 - 2) *
|
||
|
|
(1.0 - sqr(r12)) );
|
||
|
|
df := ncases1 - 2;
|
||
|
|
tprobability := probt(tequal,df);
|
||
|
|
outline := format('t for test of equal variances = %8.3f with probability = %6.4f',
|
||
|
|
[tequal,tprobability]);
|
||
|
|
OutPutFrm.RichEdit.Lines.Add(outline);
|
||
|
|
end;
|
||
|
|
OutPutFrm.ShowModal();
|
||
|
|
ColNoSelected := nil;
|
||
|
|
// TtestFrm.Hide;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TTtestFrm.ListBox1Click(Sender: TObject);
|
||
|
|
VAR index : integer;
|
||
|
|
begin
|
||
|
|
index := ListBox1.ItemIndex;
|
||
|
|
if not independent then
|
||
|
|
begin
|
||
|
|
if Var1.Text <> '' then Var2.Text := ListBox1.Items.Strings[index]
|
||
|
|
else Var1.Text := ListBox1.Items.Strings[index];
|
||
|
|
end;
|
||
|
|
if independent then
|
||
|
|
begin
|
||
|
|
if Var1.Text <> '' then Grp.Text := ListBox1.Items.Strings[index]
|
||
|
|
else Var1.Text := ListBox1.Items.Strings[index];
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TTtestFrm.RadioGroup1Click(Sender: TObject);
|
||
|
|
VAR index : integer;
|
||
|
|
begin
|
||
|
|
index := RadioGroup1.ItemIndex;
|
||
|
|
if index = 0 then
|
||
|
|
begin
|
||
|
|
Panel2.Visible := true;
|
||
|
|
Panel1.Visible := false;
|
||
|
|
griddata := false;
|
||
|
|
end
|
||
|
|
else
|
||
|
|
begin
|
||
|
|
Panel1.Visible := true;
|
||
|
|
Panel2.Visible := false;
|
||
|
|
griddata := true;
|
||
|
|
if RadioGroup2.ItemIndex = 1 then
|
||
|
|
begin
|
||
|
|
SecdVarLabel.Visible := true;
|
||
|
|
Var2.Visible := true;
|
||
|
|
Grp.Visible := false;
|
||
|
|
GrpLabel.Visible := false;
|
||
|
|
end
|
||
|
|
else
|
||
|
|
begin
|
||
|
|
SecdVarLabel.Visible := false;
|
||
|
|
Var2.Visible := false;
|
||
|
|
Grp.Visible := true;
|
||
|
|
GrpLabel.Visible := true;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TTtestFrm.RadioGroup2Click(Sender: TObject);
|
||
|
|
VAR index : integer;
|
||
|
|
begin
|
||
|
|
index := RadioGroup2.ItemIndex;
|
||
|
|
if index = 0 then
|
||
|
|
begin
|
||
|
|
independent := true;
|
||
|
|
CorBetweenLabel.Visible := false;
|
||
|
|
Cor12.Visible := false;
|
||
|
|
Grp.Visible := true;
|
||
|
|
GrpLabel.Visible := true;
|
||
|
|
GroupCodeBtn.Visible := true;
|
||
|
|
SecdVarLabel.Visible := false;
|
||
|
|
Var2.Visible := false;
|
||
|
|
end
|
||
|
|
else
|
||
|
|
begin
|
||
|
|
independent := false;
|
||
|
|
CorBetweenLabel.Visible := true;
|
||
|
|
Cor12.Visible := true;
|
||
|
|
GrpLabel.Visible := false;
|
||
|
|
Grp.Visible := false;
|
||
|
|
GroupCodeBtn.Visible := false;
|
||
|
|
SecdVarLabel.Visible := true;
|
||
|
|
Var2.Visible := true;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
|
||
|
|
initialization
|
||
|
|
{$I ttestunit.lrs}
|
||
|
|
|
||
|
|
end.
|
||
|
|
|