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391 lines
10 KiB
ObjectPascal
391 lines
10 KiB
ObjectPascal
// File for testing: manwhitU.laz
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unit MannWhitUUnit;
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{$mode objfpc}{$H+}
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interface
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uses
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Classes, SysUtils, FileUtil, LResources, Forms, Controls, Graphics, Dialogs,
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StdCtrls, Buttons, ExtCtrls,
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MainUnit, OutputUnit, FunctionslIB, Globals, DataProcs;
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type
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{ TMannWhitUFrm }
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TMannWhitUFrm = class(TForm)
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Bevel2: TBevel;
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Bevel3: TBevel;
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GrpIn: TBitBtn;
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GrpOut: TBitBtn;
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DepIn: TBitBtn;
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DepOut: TBitBtn;
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ResetBtn: TButton;
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ComputeBtn: TButton;
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CloseBtn: TButton;
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GrpEdit: TEdit;
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DepEdit: TEdit;
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Label1: TLabel;
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Label2: TLabel;
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Label3: TLabel;
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VarList: TListBox;
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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 FormActivate(Sender: TObject);
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procedure FormCreate(Sender: TObject);
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procedure FormShow(Sender: TObject);
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procedure GrpInClick(Sender: TObject);
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procedure GrpOutClick(Sender: TObject);
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procedure ResetBtnClick(Sender: TObject);
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procedure VarListSelectionChange(Sender: TObject; User: boolean);
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private
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{ private declarations }
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FAutoSized: Boolean;
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procedure UpdateBtnStates;
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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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MannWhitUFrm: TMannWhitUFrm;
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implementation
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uses
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Math;
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{ TMannWhitUFrm }
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procedure TMannWhitUFrm.ResetBtnClick(Sender: TObject);
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var
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i: integer;
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begin
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GrpEdit.Text := '';
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DepEdit.Text := '';
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VarList.Items.Clear;
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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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UpdateBtnStates;
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end;
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procedure TMannWhitUFrm.FormActivate(Sender: TObject);
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var
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w: Integer;
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begin
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if FAutoSized then
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exit;
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w := MaxValue([ResetBtn.Width, ComputeBtn.Width, CloseBtn.Width]);
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ResetBtn.Constraints.MinWidth := w;
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ComputeBtn.Constraints.MinWidth := w;
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CloseBtn.Constraints.MinWidth := w;
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Constraints.MinWidth := (Label3.Width + GrpIn.Width + 2 * VarList.BorderSpacing.Left + Bevel3.Width div 2) * 2;
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Constraints.MinHeight := Height;
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FAutoSized := true;
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end;
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procedure TMannWhitUFrm.FormCreate(Sender: TObject);
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begin
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Assert(OS3MainFrm <> nil);
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end;
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procedure TMannWhitUFrm.FormShow(Sender: TObject);
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begin
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ResetBtnClick(self);
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end;
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procedure TMannWhitUFrm.ComputeBtnClick(Sender: TObject);
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var
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i, j, ind_var, dep_var, min_grp, max_grp, group, total_n : integer;
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NoTies, NoTieGroups, n1, n2, nogroups, largestn : integer;
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NoSelected : integer;
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ColNoSelected : IntDyneVec;
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group_count : IntdyneVec;
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Ranks, X : DblDyneMat;
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RankSums : DblDyneVec;
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TieSum, score, t, SumT, Avg, z, prob, U, U2, SD, Temp : double;
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cellstring, outline : string;
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lReport: TStrings;
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begin
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total_n := 0;
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NoTieGroups := 0;
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NoSelected := 2;
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SumT := 0.0;
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// Check for data
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if (NoVariables < 1) then
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begin
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MessageDlg('You must have grid data!', mtError, [mbOK], 0);
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exit;
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end;
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// allocate space
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SetLength(ColNoSelected,NoVariables);
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// Get column numbers of the independent and dependent variables
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ind_var := 0;
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dep_var := 0;
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for i := 1 to NoVariables do
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begin
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cellstring := GrpEdit.Text;
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if (cellstring = OS3MainFrm.DataGrid.Cells[i,0]) then ind_var := i;
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cellstring := DepEdit.Text;
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if (cellstring = OS3MainFrm.DataGrid.Cells[i,0]) then dep_var := i;
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end;
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ColNoSelected[0] := ind_var;
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ColNoSelected[1] := dep_var;
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if ind_var = 0 then
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begin
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MessageDlg('No group variable.', mtError, [mbOK], 0);
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exit;
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end;
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if dep_var = 0 then
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begin
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MessageDlg('No dependent variable.', mtError, [mbOk], 0);
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exit;
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end;
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//get minimum and maximum group codes
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min_grp := 10000;
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max_grp := -10000;
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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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group := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[ind_var,i])));
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if (group < min_grp) then min_grp := group;
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if (group > max_grp) then max_grp := group;
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total_n := total_n + 1;
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end;
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nogroups := max_grp - min_grp + 1;
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// Initialize arrays
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SetLength(RankSums,nogroups);
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SetLength(Ranks,NoCases,2);
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SetLength(X,NoCases,2);
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SetLength(group_count,nogroups);
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for i := 0 to nogroups-1 do
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begin
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group_count[i] := 0;
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RankSums[i] := 0.0;
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end;
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// Setup for printer output
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lReport := TStringList.Create;
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try
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lReport.Add('MANN-WHITNEY U TEST');
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lReport.Add('See pages 116-127 in S. Siegel: Nonparametric Statistics for the Behavioral Sciences');
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lReport.Add('');
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// Get data
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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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score := StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[dep_var,i]));
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group := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[ind_var,i])));
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group := group - min_grp + 1;
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if (group > 2) then
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begin
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MessageDlg('Group codes must be 1 and 2!', mtError, [mbOk], 0);
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exit;
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end;
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group_count[group-1] := group_count[group-1] + 1;
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X[i-1,0] := score;
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X[i-1,1] := group;
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end;
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//Sort all scores in ascending order
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for i := 1 to total_n - 1 do
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begin
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for j := i + 1 to total_n do
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begin
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if (X[i-1,0] > X[j-1,0]) then
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begin
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Temp := X[i-1,0];
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X[i-1,0] := X[j-1,0];
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X[j-1,0] := Temp;
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Temp := X[i-1,1];
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X[i-1,1] := X[j-1,1];
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X[j-1,1] := Temp;
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end;
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end;
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end;
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// Store ranks
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for i := 1 to total_n do
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begin
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Ranks[i-1,0] := i;
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Ranks[i-1,1] := X[i-1,1];
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end;
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//Check for ties in ranks - replace with average rank and calculate
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//T for each tie and sum of the T's
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i := 1;
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while i < total_n do
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begin
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j := i + 1;
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TieSum := 0;
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NoTies := 0;
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while (j < total_n) do
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begin
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if (X[j-1,0] > X[i-1,0]) then
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break;
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if (X[j-1,0] = X[i-1,0]) then // match
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begin
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TieSum := TieSum + round(Ranks[j-1,0]);
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NoTies := NoTies + 1;
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end;
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j := j + 1;
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end;
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if (NoTies > 0) then //At least one tie found
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begin
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TieSum := TieSum + Ranks[i-1,0];
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NoTies := NoTies + 1;
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Avg := TieSum / NoTies;
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for j := i to i + NoTies - 1 do Ranks[j-1,0] := Avg;
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t := Power(NoTies,3) - NoTies;
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SumT := SumT + t;
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NoTieGroups := NoTieGroups + 1;
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i := i + (NoTies - 1);
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end;
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i := i + 1;
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end; // next i
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// Calculate sum of ranks in each group
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for i := 1 to total_n do
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begin
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group := round(Ranks[i-1,1]);
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RankSums[group-1] := RankSums[group-1] + Ranks[i-1,0];
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end;
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//Calculate U for larger and smaller groups
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n1 := group_count[0];
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n2 := group_count[1];
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if (n1 > n2) then
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U := n1 * n2 + n1 * (n1 + 1) / 2.0 - RankSums[0]
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else
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U := n1 * n2 + n2 * (n2 + 1) / 2.0 - RankSums[1];
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U2 := n1 * n2 - U;
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SD := n1 * n2 * (n1 + n2 + 1) / 12.0;
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SD := sqrt(SD);
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if (U2 > U) then
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z := (U2 - n1 * n2 / 2) / SD
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else
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z := (U - n1 * n2 / 2) / SD;
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prob := 1.0 - probz(z);
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//Report results
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lReport.Add(' Score Rank Group');
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lReport.Add('');
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for i := 1 to total_n do
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lReport.Add('%10.2f %10.2f %10.0f', [X[i-1,0], Ranks[i-1,0], Ranks[i-1,1]]);
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lReport.Add('');
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lReport.Add('Sum of Ranks in each Group');
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lReport.Add('Group Sum No. in Group');
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for i := 1 to nogroups do
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lReport.Add('%3d %10.2f %5d', [i+min_grp-1, RankSums[i-1], group_count[i-1]]);
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lReport.Add('');
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lReport.Add('No. of tied rank groups: %10d', [NoTieGroups]);
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if (n1 > n2) then
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largestn := n1
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else
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largestn := n2;
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if (largestn < 20) then
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outline := format('Statistic U: %26.4f',[U])
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else
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begin
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if (U > U2) then
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outline := format('Statistic U: %26.4f',[U])
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else
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outline := format('Statistic U: %26.4f',[U2]);
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end;
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lReport.Add(outline);
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lReport.Add('z Statistic (corrected for ties): %8.4f', [z]);
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lReport.Add(' Probability > z: %8.4f', [prob]);
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if (n2 < 20) then
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begin
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lReport.Add('z test is approximate. Use tables of exact probabilities in Siegel.');
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lReport.Add('(Table J or K, pages 271-277)');
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end;
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DisplayReport(lReport);
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finally
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lReport.Free;
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group_count := nil;
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X := nil;
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Ranks := nil;
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RankSums := nil;
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ColNoSelected := nil;
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end;
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end;
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procedure TMannWhitUFrm.DepInClick(Sender: TObject);
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var
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index: integer;
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begin
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index := VarList.ItemIndex;
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if (index > -1) and (DepEdit.Text = '') then
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begin
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DepEdit.Text := VarList.Items[index];
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VarList.Items.Delete(index);
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end;
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UpdateBtnStates;
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end;
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procedure TMannWhitUFrm.DepOutClick(Sender: TObject);
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begin
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if DepEdit.Text <> '' then
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begin
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VarList.Items.Add(DepEdit.Text);
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DepEdit.Text := '';
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end;
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UpdateBtnStates;
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end;
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procedure TMannWhitUFrm.GrpInClick(Sender: TObject);
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var
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index: integer;
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begin
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index := VarList.ItemIndex;
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if (index > -1) and (GrpEdit.Text = '') then
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begin
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GrpEdit.Text := VarList.Items[index];
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VarList.Items.Delete(index);
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end;
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UpdateBtnStates;
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end;
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procedure TMannWhitUFrm.GrpOutClick(Sender: TObject);
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begin
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if GrpEdit.Text <> '' then
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begin
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VarList.Items.Add(GrpEdit.Text);
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GrpEdit.Text := '';
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end;
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UpdateBtnStates;
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end;
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procedure TMannWhitUFrm.UpdateBtnStates;
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begin
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GrpIn.Enabled := (VarList.ItemIndex > -1) and (GrpEdit.Text = '');
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DepIn.Enabled := (VarList.ItemIndex > -1) and (DepEdit.Text = '');
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GrpOut.Enabled := GrpEdit.Text <> '';
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DepOut.Enabled := DepEdit.Text <> '';
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end;
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procedure TMannWhitUFrm.VarListSelectionChange(Sender: TObject; User: boolean);
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begin
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UpdateBtnStates;
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end;
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initialization
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{$I mannwhituunit.lrs}
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end.
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