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633 lines
18 KiB
ObjectPascal
633 lines
18 KiB
ObjectPascal
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// Test file: sucsintv.laz, use all variables.
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unit SuccIntUnit;
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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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{ TSuccIntFrm }
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TSuccIntFrm = class(TForm)
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Bevel1: TBevel;
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ResetBtn: TButton;
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ComputeBtn: TButton;
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CloseBtn: TButton;
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InBtn: TBitBtn;
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OutBtn: TBitBtn;
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AllBtn: TBitBtn;
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Label1: TLabel;
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Label2: TLabel;
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ItemList: TListBox;
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VarList: TListBox;
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procedure AllBtnClick(Sender: TObject);
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procedure ComputeBtnClick(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 InBtnClick(Sender: TObject);
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procedure OutBtnClick(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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SuccIntFrm: TSuccIntFrm;
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implementation
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uses
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Math;
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{ TSuccIntFrm }
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procedure TSuccIntFrm.ResetBtnClick(Sender: TObject);
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var
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i: integer;
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begin
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VarList.Clear;
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ItemList.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 TSuccIntFrm.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 := Max(
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2*MaxValue([Label1.Width, Label2.Width]) + 2*AllBtn.Width + 4*VarList.BorderSpacing.Left, // 2 * AllBtn.Width to avoid window to get too narrow
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3*w + 4*CloseBtn.BorderSpacing.Right
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);
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Constraints.MinHeight := Height;
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FAutoSized := true;
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end;
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procedure TSuccIntFrm.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 TSuccIntFrm.FormShow(Sender: TObject);
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begin
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ResetBtnClick(self);
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end;
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procedure TSuccIntFrm.AllBtnClick(Sender: TObject);
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var
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i: integer;
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begin
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for i := 0 to VarList.Items.Count - 1do
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ItemList.Items.Add(VarList.Items[i]);
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UpdateBtnStates;
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end;
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procedure TSuccIntFrm.ComputeBtnClick(Sender: TObject);
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var
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i, j, k, col, X, NoSelected, MaxCat, count, subscript : integer;
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discrow : integer;
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CatCount : IntDyneVec;
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ColNoSelected : IntDyneVec;
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FreqMat : IntDyneMat;
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RowTots : IntDyneVec;
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PropMat, Zmatrix, WidthMat, TheorZMat, ThCumPMat, CumMat : DblDyneMat;
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DiscDisp, Mean, StdDev, CumWidth, ScaleValue : DblDyneVec;
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d1, d2, C1, L1, L2, t3, sum, discrep, z, prop, maxdiscrep : double;
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RowLabels, ColLabels : StrDyneVec;
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outline: string;
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Save_Cursor : TCursor;
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found : boolean;
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lReport: TStrings;
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begin
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if ItemList.Items.Count = 0 then
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begin
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MessageDlg('No variables selected.', mtError, [mbOK], 0);
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exit;
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end;
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MaxCat := 0;
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L1 := 0.01;
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L2 := 0.99;
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maxdiscrep := 0.0;
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// Allocate space
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SetLength(DiscDisp,NoVariables);
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SetLength(ScaleValue,NoVariables);
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SetLength(RowLabels,NoVariables);
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SetLength(ColNoSelected,NoVariables);
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// Get items selected
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NoSelected := ItemList.Items.Count;
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for i := 1 to NoSelected do
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begin
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for j := 1 to NoVariables do
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begin
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outline := ItemList.Items.Strings[i-1];
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if outline = OS3MainFrm.DataGrid.Cells[j,0] then ColNoSelected[i-1] := j;
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end;
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end;
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(*
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OutputFrm.RichEdit.Lines.Add('check of parameters');
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outline := format('No Selected = %3d',[NoSelected]);
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OutputFrm.RichEdit.Lines.Add(outline);
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for i := 1 to NoSelected do
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begin
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outline := format('ItemList %d = %s',[i-1,ItemList.Items.Strings[i-1]]);
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OutputFrm.RichEdit.Lines.Add(outline);
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outline := format('Col. No. Selected %3d = %3d',[i-1,ColNoSelected[i-1]]);
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OutputFrm.RichEdit.Lines.Add(outline);
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end;
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OutputFrm.ShowModal;
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OutputFrm.RichEdit.Clear;
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*)
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//Find largest category value in 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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for j := 1 to NoSelected do
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begin
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col := ColNoSelected[j-1];
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X := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[col,i])));
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if (X > MaxCat) then MaxCat := X;
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end;
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end;
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// Initialize arrays
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SetLength(CatCount,MaxCat);
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SetLength(FreqMat,NoVariables,MaxCat);
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SetLength(RowTots,NoVariables);
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SetLength(PropMat,NoVariables,MaxCat);
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SetLength(Zmatrix,NoVariables,MaxCat);
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SetLength(WidthMat,NoVariables,MaxCat);
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SetLength(TheorZMat,NoVariables,MaxCat);
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SetLength(ThCumPMat,NoVariables,MaxCat);
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SetLength(CumMat,NoVariables,MaxCat);
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SetLength(Mean,MaxCat);
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SetLength(StdDev,MaxCat);
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SetLength(CumWidth,MaxCat);
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SetLength(ColLabels,MaxCat);
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for i := 0 to NoSelected-1 do
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begin
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RowTots[i] := 0;
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DiscDisp[i] := 0.0;
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ScaleValue[i] := 0.0;
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for j := 0 to MaxCat-1 do
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begin
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FreqMat[i,j] := 0;
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PropMat[i,j] := 0.0;
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CumMat[i,j] := 0.0;
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Zmatrix[i,j] := 0.0;
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WidthMat[i,j] := 0.0;
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TheorZMat[i,j] := 0.0;
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ThCumPMat[i,j] := 0.0;
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end;
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end;
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for j := 0 to MaxCat-1 do
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begin
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CumWidth[j] := 0.0;
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StdDev[j] := 0.0;
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Mean[j] := 0.0;
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CatCount[j] := 0;
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end;
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Save_Cursor := Screen.Cursor; // save current cursor
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Screen.Cursor := crHourGlass; // Show hourglass cursor
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//Build frequency matrix
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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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for j := 1 to NoSelected do
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begin
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col := ColNoSelected[j-1];
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X := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[col,i])));
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if ((X > 0) and (X <= MaxCat)) then
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FreqMat[j-1,X-1] := FreqMat[j-1,X-1] + 1;
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end;
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end;
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// Get row totals of the frequency matrix
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for i := 0 to NoSelected-1 do
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begin
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RowTots[i] := 0;
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for j := 0 to MaxCat-1 do
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begin
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RowTots[i] := RowTots[i] + FreqMat[i,j];
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end;
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end;
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// Convert frequencies to proportions of the row totals
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for i := 0 to NoSelected-1 do
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for j := 0 to MaxCat-1 do
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PropMat[i,j] := FreqMat[i,j] / RowTots[i];
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// Accumulate the proportions accross the categories
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for i := 1 to NoSelected do
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begin
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CumMat[i-1,0] := PropMat[i-1,0];
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for j := 2 to MaxCat do
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begin
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CumMat[i-1,j-1] := CumMat[i-1,j-2] + PropMat[i-1,j-1];
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if (j = MaxCat) then CumMat[i-1,j-1] := 1.0;
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end;
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end;
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// Convert cumulative proportions to z scores
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for i := 0 to NoSelected-1 do
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begin
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for j := 0 to MaxCat-1 do
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begin
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if (CumMat[i,j] < L1) then Zmatrix[i,j] := 99.0; //flag -infinity
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if (CumMat[i,j] > L2) then Zmatrix[i,j] := 99.0; //flag +infinity
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if ((CumMat[i,j] >= L1) and (CumMat[i,j] <= L2)) then
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Zmatrix[i,j] := inversez(CumMat[i,j]);
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end;
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end;
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// Obtain discriminal dispersions of the items
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t3 := 0.0;
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for i := 1 to NoSelected do
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begin
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d1 := 0.0;
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d2 := 0.0;
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C1 := 0.0;
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for j := 1 to MaxCat - 1 do
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begin
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if (Zmatrix[i-1,j-1] <> 99.0) then
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begin
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d1 := d1 + Zmatrix[i-1,j-1];
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d2 := d2 + (Zmatrix[i-1,j-1] * Zmatrix[i-1,j-1]);
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C1 := C1 + 1.0;
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end;
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end;
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if (C1 > 1) then
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begin
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DiscDisp[i-1] := d2 - ((d1 * d1) / C1);
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DiscDisp[i-1] := DiscDisp[i-1] / (C1-1.0);
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DiscDisp[i-1] := sqrt(DiscDisp[i-1]);
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end
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else DiscDisp[i-1] := 99.0;
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if ((DiscDisp[i-1] > 0) and (DiscDisp[i-1] <> 99.0))then t3 := t3 + (1.0 / DiscDisp[i-1]);
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end;
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//Constant t3 =No. items / recipricols of std.dev.s of item z scores
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t3 := NoSelected / t3;
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for i := 0 to NoSelected-1 do
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begin
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if ((DiscDisp[i] > 0.0) and (t3 > 0)) then
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DiscDisp[i] := (1.0 / DiscDisp[i]) * t3
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else
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DiscDisp[i] := 99.0;
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end;
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// Now, calculate interval widths
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for j := 2 to MaxCat - 1 do
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begin
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for i := 1 to NoSelected do
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begin
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if ((Zmatrix[i-1,j-1] <> 99.0) and (Zmatrix[i-1,j-2] <> 99.0)) then
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WidthMat[i-1,j-2] := Zmatrix[i-1,j-1] - Zmatrix[i-1,j-2]
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else
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WidthMat[i-1,j-2] := 99.0;
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end;
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end;
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//Calculate Means and Standard Deviations of category Widths
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for j := 1 to MaxCat-2 do
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begin
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for i := 1 to NoSelected do
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begin
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if (WidthMat[i-1,j-1] <> 99.0) then
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begin
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CatCount[j-1] := CatCount[j-1] + 1;
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Mean[j-1] := Mean[j-1] + WidthMat[i-1,j-1];
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StdDev[j-1] := StdDev[j-1] + (WidthMat[i-1,j-1] * WidthMat[i-1,j-1]);
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end;
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end;
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if (CatCount[j-1] > 1) then
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begin
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Mean[j-1] := Mean[j-1] / CatCount[j-1];
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StdDev[j-1] := (StdDev[j-1] / CatCount[j-1]) - (Mean[j-1] * Mean[j-1]);
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StdDev[j-1] := StdDev[j-1] * (CatCount[j-1] / (CatCount[j-1] - 1));
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end;
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end;
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// Calculate cumulative widths
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CumWidth[0] := Mean[0];
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for j := 2 to MaxCat - 1 do
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CumWidth[j-1] := CumWidth[j-2] + Mean[j-1];
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// Calculate scale item scale values
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for i := 1 to NoSelected do
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begin
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found := false;
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count := 1;
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while (not found) do
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begin
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if (CumMat[i-1,count-1] >= 0.5) then
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begin
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found := true;
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subscript := count;
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end;
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if (count = (MaxCat)) then
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begin
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found := true;
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subscript := count;
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end;
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count := count + 1;
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end;
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if ((subscript > 2) and (subscript < MaxCat)) then
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begin
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ScaleValue[i-1] := Mean[subscript-2] * ((0.5 - CumMat[i-1,subscript-2]) / PropMat[i-1,subscript-1]);
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if (subscript > 1) then
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ScaleValue[i-1] := ScaleValue[i-1] + CumWidth[subscript-3];
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end
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else
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begin //extreme value - get average of z scores in first cat. and / 2
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sum := 0.0;
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for k := 1 to NoSelected do sum := sum + Zmatrix[i-1,0];
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sum := sum / abs(NoSelected * 2);
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ScaleValue[i-1] := sum * ((0.5 - (CumMat[i-1,0] / 2.0)) / (CumMat[i-1,0] / 2.0));
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end;
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end;
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//Calculate Theoretical z scores from the scale values
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discrep := 0.0;
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count := 0;
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for i := 1 to NoSelected do
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begin
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z := -ScaleValue[i-1];
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TheorZMat[i-1,0] := z;
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prop := probz(z);
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ThCumPMat[i-1,0] := prop;
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for j := 2 to MaxCat - 1 do
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begin
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z := CumWidth[j-2] - ScaleValue[i-1];
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if (z < -3) then z := -3.0;
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if (z > 3) then z := 3.0;
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prop := probz(z);
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TheorZMat[i-1,j-1] := z;
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ThCumPMat[i-1,j-1] := prop;
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discrep := discrep + abs(CumMat[i-1,j-1] - prop);
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if abs(CumMat[i-1,j-1] - prop) > maxdiscrep then
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begin
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maxdiscrep := abs(CumMat[i-1,j-1] - prop);
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discrow := i;
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end;
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count := count + 1;
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end;
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ThCumPMat[i-1,MaxCat-1] := 1.0;
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end;
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discrep := discrep / count; // average discrepency between theoretical and observed
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// Report results
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lReport := TStringList.Create;
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try
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lReport.Add(' SUCCESSIVE INTERVAL SCALING RESULTS');
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lReport.Add('');
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for i := 1 to NoSelected do
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RowLabels[i-1] := OS3MainFrm.DataGrid.Cells[ColNoSelected[i-1],0];
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for i := 1 to MaxCat do
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|
ColLabels[i-1] := Format(' %2d-%2d ', [i-1, i]);
|
||
|
|
||
|
outline := ' ';
|
||
|
for i := 1 to MaxCat do outline := outline + ColLabels[i-1];
|
||
|
lReport.Add(outline);
|
||
|
|
||
|
for i := 1 to NoSelected do
|
||
|
begin
|
||
|
lReport.Add('%10s', [RowLabels[i-1]]);
|
||
|
|
||
|
outline := 'Frequency ';
|
||
|
for j := 1 to MaxCat do
|
||
|
outline := outline + Format('%7d', [FreqMat[i-1,j-1]]);
|
||
|
lReport.Add(outline);
|
||
|
|
||
|
outline := 'Proportion ';
|
||
|
for j := 1 to MaxCat do
|
||
|
outline := outline + Format('%7.3f', [PropMat[i-1,j-1]]);
|
||
|
lReport.Add(outline);
|
||
|
|
||
|
outline := 'Cum. Prop. ';
|
||
|
for j := 1 to MaxCat do
|
||
|
outline := outline + Format('%7.3f', [CumMat[i-1,j-1]]);
|
||
|
lReport.Add(outline);
|
||
|
|
||
|
outline := 'Normal z ';
|
||
|
for j := 1 to MaxCat do
|
||
|
begin
|
||
|
if (Zmatrix[i-1,j-1] <> 99.0) then
|
||
|
outline := outline + Format('%7.3f', [Zmatrix[i-1,j-1]])
|
||
|
else
|
||
|
outline := outline + ' - ';
|
||
|
end;
|
||
|
lReport.Add(outline);
|
||
|
end;
|
||
|
|
||
|
lReport.Add('');
|
||
|
lReport.Add(' INTERVAL WIDTHS');
|
||
|
outline := ' ';
|
||
|
for i := 1 to MaxCat - 2 do
|
||
|
outline := outline + Format(' %2d-%2d ', [i+1,i]);
|
||
|
lReport.Add(outline);
|
||
|
|
||
|
outline := '';
|
||
|
for i := 1 to NoSelected do
|
||
|
begin
|
||
|
outline := outline + Format('%10s', [RowLabels[i-1]]);
|
||
|
for j := 1 to MaxCat-2 do
|
||
|
begin
|
||
|
if (WidthMat[i-1,j-1] <> 99.0) then
|
||
|
outline := outline + Format('%7.3f', [WidthMat[i-1,j-1]])
|
||
|
else
|
||
|
outline := outline + ' - ';
|
||
|
end;
|
||
|
lReport.Add(outline);
|
||
|
outline := '';
|
||
|
end;
|
||
|
lReport.Add('');
|
||
|
|
||
|
outline := 'Mean Width';
|
||
|
for i := 1 to MaxCat - 2 do
|
||
|
outline := outline + Format('%7.2f', [Mean[i-1]]);
|
||
|
lReport.Add(outline);
|
||
|
|
||
|
outline := 'No. Items ';
|
||
|
for i := 1 to MaxCat - 2 do
|
||
|
outline := outline + Format('%7d', [CatCount[i-1]]);
|
||
|
lReport.Add(outline);
|
||
|
|
||
|
outline := 'Std. Dev.s';
|
||
|
for i := 1 to MaxCat - 2 do
|
||
|
outline := outline + Format('%7.2f', [StdDev[i-1]]);;
|
||
|
lReport.Add(outline);
|
||
|
|
||
|
outline := 'Cum. Means';
|
||
|
for i := 1 to MaxCat - 2 do
|
||
|
outline := outline + Format('%7.2f', [CumWidth[i-1]]);
|
||
|
lReport.Add(outline);
|
||
|
lReport.Add('');
|
||
|
|
||
|
lReport.Add('ESTIMATES OF SCALE VALUES AND THEIR DISPERSIONS');
|
||
|
lReport.Add('Item No. Ratings Scale Value Discriminal Dispersion');
|
||
|
for i := 0 to NoSelected-1 do
|
||
|
lReport.Add('%10s %3d %6.3f %6.3f', [RowLabels[i], RowTots[i], ScaleValue[i], DiscDisp[i]]);
|
||
|
lReport.Add('');
|
||
|
|
||
|
lReport.Add('Z scores Estimated from Scale values');
|
||
|
outline := ' ';
|
||
|
for i := 0 to MaxCat-1 do outline := outline + ColLabels[i];
|
||
|
lReport.Add(outline);
|
||
|
for i := 1 to NoSelected do
|
||
|
begin
|
||
|
outline := Format('%10s', [RowLabels[i-1]]);
|
||
|
for j := 1 to MaxCat - 1 do
|
||
|
outline := outline + Format('%7.3f', [TheorZMat[i-1,j-1]]);
|
||
|
lReport.Add(outline);
|
||
|
end;
|
||
|
lReport.Add('');
|
||
|
|
||
|
lReport.Add('Cumulative Theoretical Proportions');
|
||
|
outline := ' ';
|
||
|
for i := 1 to MaxCat do outline := outline + ColLabels[i-1];
|
||
|
lReport.Add(outline);
|
||
|
for i := 1 to NoSelected do
|
||
|
begin
|
||
|
outline := Format('%10s', [RowLabels[i-1]]);
|
||
|
for j := 1 to MaxCat do
|
||
|
outline := outline + Format('%7.3f', [ThCumPMat[i-1,j-1]]);
|
||
|
OutputFrm.RichEdit.Lines.Add(outline);
|
||
|
end;
|
||
|
lReport.Add('');
|
||
|
|
||
|
outline := 'Average Discrepancy Between Theoretical and Observed Cumulative Proportions: ';
|
||
|
outline := outline + Format('%.3f', [discrep]);
|
||
|
lReport.Add(outline);
|
||
|
|
||
|
lReport.Add('Maximum discrepancy %.3f found in item %s', [maxdiscrep, RowLabels[discrow-1]]);
|
||
|
|
||
|
Screen.Cursor := Save_Cursor;
|
||
|
DisplayReport(lReport);
|
||
|
|
||
|
finally
|
||
|
lReport.Free;
|
||
|
|
||
|
ColLabels := nil;
|
||
|
RowLabels := nil;
|
||
|
ScaleValue := nil;
|
||
|
CumWidth := nil;
|
||
|
StdDev := nil;
|
||
|
Mean := nil;
|
||
|
DiscDisp := nil;
|
||
|
CumMat := nil;
|
||
|
ThCumPMat := nil;
|
||
|
TheorZMat := nil;
|
||
|
WidthMat := nil;
|
||
|
Zmatrix := nil;
|
||
|
PropMat := nil;
|
||
|
RowTots := nil;
|
||
|
FreqMat := nil;
|
||
|
CatCount := nil;
|
||
|
ColNoSelected := nil;
|
||
|
end;
|
||
|
end;
|
||
|
|
||
|
procedure TSuccIntFrm.InBtnClick(Sender: TObject);
|
||
|
var
|
||
|
i: integer;
|
||
|
begin
|
||
|
i := 0;
|
||
|
while i < VarList.Items.Count do
|
||
|
begin
|
||
|
if VarList.Selected[i] then
|
||
|
begin
|
||
|
ItemList.Items.Add(VarList.Items[i]);
|
||
|
VarList.Items.Delete(i);
|
||
|
i := 0;
|
||
|
end else
|
||
|
inc(i);
|
||
|
end;
|
||
|
UpdateBtnStates;
|
||
|
end;
|
||
|
|
||
|
procedure TSuccIntFrm.OutBtnClick(Sender: TObject);
|
||
|
var
|
||
|
i: integer;
|
||
|
begin
|
||
|
i := 0;
|
||
|
while i < ItemList.Items.Count do
|
||
|
begin
|
||
|
if ItemList.Selected[i] then
|
||
|
begin
|
||
|
VarList.Items.Add(ItemList.Items[i]);
|
||
|
ItemList.Items.Delete(i);
|
||
|
i := 0;
|
||
|
end else
|
||
|
inc(i);
|
||
|
end;
|
||
|
UpdateBtnStates;
|
||
|
end;
|
||
|
|
||
|
procedure TSuccIntFrm.UpdateBtnStates;
|
||
|
var
|
||
|
lSelected: Boolean;
|
||
|
i: Integer;
|
||
|
begin
|
||
|
lSelected := false;
|
||
|
for i := 0 to VarList.Items.Count - 1 do
|
||
|
if VarList.Selected[i] then
|
||
|
begin
|
||
|
lSelected := true;
|
||
|
break;
|
||
|
end;
|
||
|
InBtn.Enabled := lSelected;
|
||
|
|
||
|
lSelected := false;
|
||
|
for i := 0 to ItemList.Items.Count -1 do
|
||
|
if ItemList.Selected[i] then
|
||
|
begin
|
||
|
lSelected := true;
|
||
|
break;
|
||
|
end;
|
||
|
OutBtn.Enabled := lSelected;
|
||
|
|
||
|
AllBtn.Enabled := VarList.Items.Count > 0;
|
||
|
end;
|
||
|
|
||
|
procedure TSuccIntFrm.VarListSelectionChange(Sender: TObject; User: boolean);
|
||
|
begin
|
||
|
UpdateBtnStates;
|
||
|
end;
|
||
|
|
||
|
initialization
|
||
|
{$I succintunit.lrs}
|
||
|
|
||
|
end.
|
||
|
|