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674 lines
20 KiB
ObjectPascal
674 lines
20 KiB
ObjectPascal
![]() |
unit SingleLinkUnit;
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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, Globals, OutputUnit;
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type
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{ TSingleLinkFrm }
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TSingleLinkFrm = class(TForm)
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Bevel1: TBevel;
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Panel1: TPanel;
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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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StdChkBox: TCheckBox;
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RepChkBox: TCheckBox;
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DescChkBox: TCheckBox;
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PlotChkBox: TCheckBox;
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DendoChk: TCheckBox;
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GroupBox1: TGroupBox;
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VarSelEdit: TEdit;
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Label2: TLabel;
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VarInBtn: TBitBtn;
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VarOutBtn: TBitBtn;
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Label1: TLabel;
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ListBox1: TListBox;
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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 ResetBtnClick(Sender: TObject);
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procedure VarInBtnClick(Sender: TObject);
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procedure VarOutBtnClick(Sender: TObject);
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private
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{ private declarations }
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FAutoSized: Boolean;
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procedure TreePlot(VAR Clusters : IntDyneMat;
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VAR Lst : IntDyneVec;
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NoPoints : integer);
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procedure scatplot(var x : DblDyneVec;
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var y : DblDyneVec;
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nocases : integer;
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titlestr : string;
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x_axis, y_axis : string;
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x_min, x_max, y_min, y_max : double;
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VAR VarLabels : StrDyneVec);
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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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SingleLinkFrm: TSingleLinkFrm;
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implementation
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uses
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Math;
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{ TSingleLinkFrm }
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procedure TSingleLinkFrm.ResetBtnClick(Sender: TObject);
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VAR i : integer;
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cellstring : string;
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begin
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ListBox1.Clear;
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VarSelEdit.Text := '';
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for i := 1 to NoVariables do
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begin
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cellstring := OS3MainFrm.DataGrid.Cells[i,0];
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ListBox1.Items.Add(cellstring);
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end;
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RepChkBox.Checked := false;
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StdChkBox.Checked := false;
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VarOutBtn.Enabled := false;
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DescChkBox.Checked := false;
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PlotChkBox.Checked := false;
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end;
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procedure TSingleLinkFrm.VarInBtnClick(Sender: TObject);
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VAR index : integer;
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begin
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index := ListBox1.ItemIndex;
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VarSelEdit.Text := ListBox1.Items.Strings[index];
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VarOutBtn.Enabled := true;
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end;
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procedure TSingleLinkFrm.VarOutBtnClick(Sender: TObject);
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begin
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ListBox1.Items.Add(VarSelEdit.Text);
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VarSelEdit.Text := '';
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end;
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procedure TSingleLinkFrm.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, CancelBtn.Width, ComputeBtn.Width, ReturnBtn.Width]);
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ResetBtn.Constraints.MinWidth := w;
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CancelBtn.Constraints.MinWidth := w;
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ComputeBtn.Constraints.MinWidth := w;
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ReturnBtn.Constraints.MinWidth := w;
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Constraints.MinWidth := Width;
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Constraints.MinHeight := Height;
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FAutoSized := true;
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end;
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procedure TSingleLinkFrm.FormCreate(Sender: TObject);
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begin
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Assert(OS3MainFrm <> nil);
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if OutputFrm = nil then
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Application.CreateForm(TOutputFrm, OutputFrm);
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end;
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procedure TSingleLinkFrm.FormShow(Sender: TObject);
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begin
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ResetBtnClick(self);
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end;
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procedure TSingleLinkFrm.ComputeBtnClick(Sender: TObject);
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VAR
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NoInGrp : IntDyneVec; // no. of subjects in a grouping
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i, j, NoGroups, ID, ID1, ID2, col, startat, endat : integer;
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ColSelected : integer;
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NoScores : integer;
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varlabel : string;
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// outline : array[1..501] of char;
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// astring : array[0..5] of char;
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outline : string;
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astring : string;
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Scores : DblDyneVec; // subject scores
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Distance : DblDyneMat; // distance between objects
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SubjectIDs : IntDyneVec; // subject ids - sorted with Distance
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X1: double; // grid values of two subjects
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Groups : IntDyneMat; // subjects in each group
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GrpErrors : DblDyneVec;
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Smallest, Mean, Variance, StdDev : double;
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clusters : IntDyneMat;
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Lst : IntDyneVec;
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done : boolean;
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average : double;
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XAxis, YAxis : DblDyneVec;
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MaxError : double;
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GrpLabels : StrDyneVec;
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label labels1, labels2;
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begin
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NoScores := NoCases;
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Mean := 0.0;
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Variance := 0.0;
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varlabel := VarSelEdit.Text;
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//Get selected variable
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ColSelected := 0;
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for j := 1 to NoVariables do
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if (VarSelEdit.Text = OS3MainFrm.DataGrid.Cells[j,0]) then ColSelected := j;
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if (ColSelected = 0) then
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begin
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ShowMessage('ERROR! No variable selected to analyze.');
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exit;
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end;
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// Allocate memory
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SetLength(Distance,NoCases+1,NoCases+1);
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SetLength(SubjectIDs,NoCases+1);
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SetLength(NoInGrp,NoCases+1);
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SetLength(Groups,NoCases+1,NoCases+1);
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SetLength(Scores,NoCases+1);
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SetLength(GrpErrors,NoCases+1);
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SetLength(clusters,NoCases+1,3);
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SetLength(Lst,NoCases+1);
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// initialize arrays
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for i := 0 to NoCases-1 do
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begin
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NoInGrp[i] := 1;
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SubjectIDs[i] := i+1;
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for j := 0 to NoCases-1 do
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begin
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Groups[i,j] := 0;
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Distance[i,j] := 0.0;
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end;
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for j := 0 to 2 do clusters[i,j] := 0;
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end;
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NoGroups := 0;
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// Get data into the distance matrix
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for i := 0 to NoCases - 1 do
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begin
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col := ColSelected;
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Scores[i] := StrToFloat(OS3MainFrm.DataGrid.Cells[col,i+1]);
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Mean := Mean + Scores[i];
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Variance := Variance + (Scores[i] * Scores[i]);
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end;
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Variance := Variance - ((Mean * Mean) / NoCases);
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Variance := Variance / (NoCases - 1);
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StdDev := sqrt(Variance);
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Mean := Mean / NoCases;
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// sort the scores and ids in distance and subjed ids
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for i := 0 to NoCases - 2 do
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begin
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for j := i+1 to NoCases - 1 do
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begin
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if (Scores[i] > Scores[j]) then // swap
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begin
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X1 := Scores[i];
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Scores[i] := Scores[j];
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Scores[j] := X1;
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ID := SubjectIDs[i];
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SubjectIDs[i] := SubjectIDs[j];
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SubjectIDs[j] := ID;
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end;
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end;
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end;
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for i := 0 to NoCases - 1 do Lst[i+1] := SubjectIDs[i];
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// Show results
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OutputFrm.RichEdit.Lines.Add('Single Linkage Clustering by Bill Miller');
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outline := format('FILE: %s',[OS3MainFrm.FileNameEdit.Text]);
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OutputFrm.RichEdit.Lines.Add(outline);
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outline := format('Variable := %s',[varlabel]);
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OutputFrm.RichEdit.Lines.Add(outline);
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outline := format('Number of cases := %d',[NoCases]);
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OutputFrm.RichEdit.Lines.Add(outline);
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outline := format('Mean := %8.3f, Variance := %8.3f, Std.Dev. := %8.3f',[Mean, Variance, StdDev]);
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OutputFrm.RichEdit.Lines.Add(outline);
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// Standardize the distance scores if elected
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if (StdChkBox.Checked) then
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begin
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for i := 0 to NoCases - 1 do Scores[i] := (Scores[i] - Mean) / StdDev;
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if (RepChkBox.Checked) then // replace original values in DataGrid with z scores if elected
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begin
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for i := 0 to NoCases - 1 do
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begin
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col := ColSelected;
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outline := format('%6.4f',[Scores[i]]);
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OS3MainFrm.DataGrid.Cells[col,i+1] := outline;
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end;
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end;
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end;
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OutputFrm.RichEdit.Lines.Add('');
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if (DescChkBox.Checked) then
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begin
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done := false;
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startat := 0;
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endat := NoScores;
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if (endat > 20) then endat := 20;
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// ptr := outline;
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while (not done) do
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begin
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outline := 'GROUP ID';
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for i := startat to endat - 1 do
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begin
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astring := format('%4d',[SubjectIDs[i]]);
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outline := outline + astring;
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// strcat(@outline,@astring);
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end;
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OutputFrm.RichEdit.Lines.Add(outline);
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startat := endat;
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if (startat >= NoScores) then done := true;
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endat := startat + 20;
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if (endat > NoScores) then endat := NoScores;
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end;
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end;
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// calculate Distances and smallest Distance
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labels1:
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Smallest := abs(Scores[0] - Scores[1]); // initial values
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for i := 0 to NoScores - 2 do
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begin
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for j := i+1 to NoScores - 1 do
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begin
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Distance[i,j] := abs(Scores[i] - Scores[j]);
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Distance[j,i] := Distance[i,j];
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if (Distance[i,j] <= Smallest) then
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begin
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Smallest := Distance[i,j];
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ID1 := i;
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ID2 := j;
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end;
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end;
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end;
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if (NoGroups < NoCases-1) then
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begin
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if (DescChkBox.Checked) then
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begin
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outline := format(' Group %d is combined with Group %d',
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[SubjectIDs[ID1],SubjectIDs[ID2]]);
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OutputFrm.RichEdit.Lines.Add(outline);
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OutputFrm.RichEdit.Lines.Add('');
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end;
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end;
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// eliminate second score and replace first with average
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NoInGrp[ID1] := NoInGrp[ID1] + 1;
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NoInGrp[ID2] := NoInGrp[ID2] - 1;
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clusters[NoGroups+1,1] := SubjectIDs[ID1];
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clusters[NoGroups+1,2] := SubjectIDs[ID2];
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// record results for this grouping
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labels2:
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Groups[NoGroups,ID1] := 1; // set flags for those objects grouped
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Groups[NoGroups,ID2] := 1;
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if (NoGroups < NoCases-1) then // eliminate second score and replace first with average
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begin
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average := abs(Scores[ID1] + Scores[ID2]) / 2.0;
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Scores[ID1] := average;
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for i := ID2 to NoScores - 2 do
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begin
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Scores[i] := Scores[i+1];
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SubjectIDs[i] := SubjectIDs[i+1];
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end;
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NoScores := NoScores - 1;
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for i := 0 to NoScores - 1 do Groups[NoGroups,SubjectIDs[i]] := 1;
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if (DescChkBox.Checked) then
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begin
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done := false;
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startat := 0;
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endat := NoScores;
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if (endat > 20) then endat := 20;
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while (not done) do
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begin
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outline := 'GROUP ID';
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for i := startat to endat - 1 do
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begin
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astring := format('%4d',[SubjectIDs[i]]);
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outline := outline + astring;
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end;
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OutputFrm.RichEdit.Lines.Add(outline);
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startat := endat;
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if (startat >= NoScores) then done := true;
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endat := startat + 20;
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if (endat > NoScores) then endat := NoScores;
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end;
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end;
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// get errors
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GrpErrors[NoGroups] := GrpErrors[NoGroups] + Distance[ID1,ID2];
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NoGroups := NoGroups + 1;
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goto labels1;
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end;
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// show errors
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if (DescChkBox.Checked) then
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begin
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OutputFrm.RichEdit.Lines.Add('');
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OutputFrm.RichEdit.Lines.Add('GROUPING STEP ERROR');
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for i := 0 to NoGroups - 1 do
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begin
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outline := format(' %3d %10.3f',[i+1,GrpErrors[i]]);
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OutputFrm.RichEdit.Lines.Add(outline);
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end;
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end;
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OutputFrm.ShowModal;
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OutputFrm.RichEdit.Clear;
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if (PlotChkBox.Checked) then
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begin
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MaxError := GrpErrors[NoGroups-1];
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SetLength(XAxis,NoCases);
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SetLength(YAxis,NoCases);
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SetLength(GrpLabels,NoGroups+1);
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for i := 0 to NoGroups - 1 do
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begin
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XAxis[i] := NoGroups - i;
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YAxis[i] := GrpErrors[i];
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GrpLabels[i] := IntToStr(i + 1);
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end;
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scatplot(XAxis, YAxis, NoGroups, 'Plot of Error vs No. of Groups',
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'No. of Groups', 'Size of Error', 2.0, NoCases, 0.0, MaxError,GrpLabels);
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GrpLabels := nil;
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YAxis := nil;
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XAxis := nil;
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end;
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OutputFrm.ShowModal;
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OutputFrm.RichEdit.Clear;
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if (DendoChk.Checked) then
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begin
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OutputFrm.RichEdit.Clear;
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TreePlot(clusters,Lst,NoGroups+1);
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OutputFrm.ShowModal;
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end;
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OutputFrm.RichEdit.Clear;
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//clean up the memory
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Lst := nil;
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clusters := nil;
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GrpErrors := nil;
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Scores := nil;
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Groups := nil;
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NoInGrp := nil;
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SubjectIDs := nil;
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Distance := nil;
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end;
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procedure TSingleLinkFrm.TreePlot(VAR Clusters : IntDyneMat;
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VAR Lst : IntDyneVec;
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NoPoints : integer);
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VAR
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outline : array[0..501] of char;
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aline : array[0..82] of char;
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valstr : string;
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tempstr : string;
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plotline : string;
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star : char;
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blank : char;
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col1, col2, colpos1, colpos2 : integer;
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noparts, startcol, endcol : integer;
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Results : StrDyneVec;
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ColPos : IntDyneVec;
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i, j, k, L, linecount, newcol, howlong, count: integer;
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done : boolean;
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begin
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linecount := 1;
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star := '*';
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blank := ' ';
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SetLength(ColPos,NoPoints+2);
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SetLength(Results,NoPoints*2+3);
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OutputFrm.RichEdit.Lines.Add('');
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done := false;
|
||
|
// store initial column positions of vertical linkages
|
||
|
for i := 1 to NoPoints do ColPos[Lst[i]] := 4 + (i * 5);
|
||
|
|
||
|
// create column heading indented 10 spaces
|
||
|
tempstr := 'UNIT ';
|
||
|
for i := 1 to NoPoints do
|
||
|
begin
|
||
|
valstr := format('%5d',[Lst[i]]);
|
||
|
tempstr := tempstr + valstr;
|
||
|
end;
|
||
|
Results[linecount] := tempstr;
|
||
|
linecount := linecount + 1;
|
||
|
|
||
|
// create beginning of vertical linkages
|
||
|
plotline := 'STEP ';
|
||
|
for i := 1 to NoPoints do plotline := plotline + ' *';
|
||
|
Results[linecount] := plotline;
|
||
|
linecount := linecount + 1;
|
||
|
|
||
|
// start dendoplot
|
||
|
for i := 1 to NoPoints - 1 do
|
||
|
begin
|
||
|
outline := '';
|
||
|
valstr := format('%5d',[i]); // put step no. first
|
||
|
outline := valstr;
|
||
|
// clear remainder of outline
|
||
|
for j := 5 to (5 + NoPoints * 5) do outline[j] := ' ';
|
||
|
outline[6 + NoPoints * 5] := #0;
|
||
|
col1 := Clusters[i,1];
|
||
|
col2 := Clusters[i,2];
|
||
|
// find column positions for each variable
|
||
|
colpos1 := ColPos[col1];
|
||
|
colpos2 := ColPos[col2];
|
||
|
|
||
|
for k := colpos1 to colpos2 do outline[k] := star;
|
||
|
// change column positions 1/2 way between the matched ones
|
||
|
newcol := colpos1 + ((colpos2 - colpos1) div 2);
|
||
|
for k := 1 to NoPoints do
|
||
|
if ((ColPos[k] = colpos1) or (ColPos[k] = colpos2)) then ColPos[k] := newcol;
|
||
|
for k := 1 to NoPoints do
|
||
|
begin
|
||
|
L := ColPos[k];
|
||
|
if ((L <> colpos1) and (L <> colpos2)) then outline[L] := star;
|
||
|
end;
|
||
|
Results[linecount] := outline;
|
||
|
linecount := linecount + 1;
|
||
|
|
||
|
// add a line of connectors to next grouping
|
||
|
outline := ' ';
|
||
|
for j := 5 to (5 + NoPoints * 5) do outline[j] := blank;
|
||
|
for j := 1 to NoPoints do
|
||
|
begin
|
||
|
colpos1 := ColPos[j];
|
||
|
outline[colpos1] := star;
|
||
|
end;
|
||
|
Results[linecount] := outline;
|
||
|
linecount := linecount + 1;
|
||
|
end;
|
||
|
|
||
|
// output the Results in parts
|
||
|
// determine number of pages needed for whole plot
|
||
|
noparts := 0;
|
||
|
howlong := Length(Results[1]);
|
||
|
noparts := round(howlong / 80.0);
|
||
|
if (noparts <= 0) then noparts := 1;
|
||
|
|
||
|
if (noparts = 1) then // simply print the list
|
||
|
begin
|
||
|
for i := 0 to linecount - 1 do
|
||
|
begin
|
||
|
OutputFrm.RichEdit.Lines.Add(Results[i]);
|
||
|
end;
|
||
|
end
|
||
|
else // break lines into strings of 15 units
|
||
|
begin
|
||
|
startcol := 0;
|
||
|
endcol := 80;
|
||
|
for i := 1 to noparts do
|
||
|
begin
|
||
|
outline := format('PART %d OUTPUT',[i]);
|
||
|
OutputFrm.RichEdit.Lines.Add(outline);
|
||
|
for j := 0 to 80 do aline[j] := blank;
|
||
|
|
||
|
for j := 0 to linecount - 1 do
|
||
|
begin
|
||
|
count := 0;
|
||
|
outline := Results[j];
|
||
|
for k := startcol to endcol do
|
||
|
begin
|
||
|
aline[count] := outline[k];
|
||
|
count := count + 1;
|
||
|
end;
|
||
|
aline[count+1] := #0;
|
||
|
OutputFrm.RichEdit.Lines.Add(aline);
|
||
|
end;
|
||
|
OutputFrm.RichEdit.Lines.Add('');
|
||
|
startcol := endcol + 1;
|
||
|
endcol := endcol + 80;
|
||
|
if (endcol > howlong) then endcol := howlong;
|
||
|
end;
|
||
|
end;
|
||
|
Results := nil;
|
||
|
ColPos := nil;
|
||
|
end;
|
||
|
|
||
|
procedure TSingleLinkFrm.scatplot(var x : DblDyneVec;
|
||
|
var y : DblDyneVec;
|
||
|
nocases : integer;
|
||
|
titlestr : string;
|
||
|
x_axis, y_axis : string;
|
||
|
x_min, x_max, y_min, y_max : double;
|
||
|
VAR VarLabels : StrDyneVec);
|
||
|
|
||
|
var
|
||
|
i, j, l, row, xslot : integer;
|
||
|
xdelta, maxy: double;
|
||
|
incrementx, incrementy, rangex, rangey, swap : double;
|
||
|
plotstring : array[0..51,0..61] of char;
|
||
|
ymed, xmed : double;
|
||
|
aheight : integer;
|
||
|
overlap : boolean;
|
||
|
valuestring : string[2];
|
||
|
howlong : integer;
|
||
|
outline : string;
|
||
|
Labels : StrDyneVec;
|
||
|
begin
|
||
|
SetLength(Labels,nocases);
|
||
|
for i := 1 to nocases do Labels[i-1] := VarLabels[i-1];
|
||
|
aheight := 40;
|
||
|
rangex := x_max - x_min ;
|
||
|
incrementx := rangex / 15.0;
|
||
|
xdelta := rangex / 60;
|
||
|
xmed := rangex / 2;
|
||
|
rangey := y_max - y_min;
|
||
|
incrementy := rangey / aheight;
|
||
|
ymed := rangey / 2;
|
||
|
|
||
|
{ sort in descending order }
|
||
|
for i := 1 to (nocases - 1) do
|
||
|
begin
|
||
|
for j := (i + 1) to nocases do
|
||
|
begin
|
||
|
if y[i-1] < y[j-1] then
|
||
|
begin
|
||
|
swap := y[i-1];
|
||
|
y[i-1] := y[j-1];
|
||
|
y[j-1] := swap;
|
||
|
swap := x[i-1];
|
||
|
x[i-1] := x[j-1];
|
||
|
x[j-1] := swap;
|
||
|
outline := Labels[i-1];
|
||
|
Labels[i-1] := Labels[j-1];
|
||
|
Labels[j-1] := outline;
|
||
|
end;
|
||
|
end;
|
||
|
end;
|
||
|
outline := ' SCATTERPLOT - ' + titlestr;
|
||
|
OutputFrm.RichEdit.Lines.Add(outline);
|
||
|
OutputFrm.RichEdit.Lines.Add('');
|
||
|
OutputFrm.RichEdit.Lines.Add(y_axis);
|
||
|
maxy := y_max;
|
||
|
for i := 1 to 60 do
|
||
|
for j := 1 to aheight+1 do plotstring[j,i] := ' ';
|
||
|
|
||
|
{ Set up the plot strings with the data }
|
||
|
row := 0;
|
||
|
while maxy > y_min do
|
||
|
begin
|
||
|
row := row + 1;
|
||
|
plotstring[row,30] := '|';
|
||
|
if (row = (aheight / 2)) then
|
||
|
begin
|
||
|
for i := 1 to 60 do plotstring[row,i] := '-';
|
||
|
end;
|
||
|
for i := 1 to nocases do
|
||
|
begin
|
||
|
if ((maxy >= y[i-1]) and (y[i-1] > (maxy - incrementy))) then
|
||
|
begin
|
||
|
xslot := round(((x[i-1] - x_min) / rangex) * 60);
|
||
|
if xslot < 1 then xslot := 1;
|
||
|
if xslot > 60 then xslot := 60;
|
||
|
overlap := false;
|
||
|
str(i:2,valuestring);
|
||
|
howlong := 1;
|
||
|
if (valuestring[1] <> ' ') then howlong := 2;
|
||
|
for l := xslot to (xslot + howlong - 1) do
|
||
|
if (plotstring[row,l] = '*') then overlap := true;
|
||
|
if (overlap) then plotstring[row,xslot] := '*'
|
||
|
else
|
||
|
begin
|
||
|
if (howlong < 2) then
|
||
|
plotstring[row,xslot] := valuestring[2]
|
||
|
else for l := 1 to 2 do
|
||
|
plotstring[row,xslot + l - 1] := valuestring[l];
|
||
|
end;
|
||
|
end;
|
||
|
end;
|
||
|
maxy := maxy - incrementy;
|
||
|
end;
|
||
|
{ print the plot }
|
||
|
for i := 1 to row do
|
||
|
begin
|
||
|
outline := ' |';
|
||
|
for j := 1 to 60 do outline := outline + format('%1s',[plotstring[i,j]]);
|
||
|
outline := outline + format('|-%6.2f-%6.2f',
|
||
|
[(y_max - i * incrementy),(y_max - i * incrementy + incrementy)]);
|
||
|
OutputFrm.RichEdit.Lines.Add(outline);
|
||
|
end;
|
||
|
outline := '';
|
||
|
for i := 1 to 63 do outline := outline + '-';
|
||
|
OutputFrm.RichEdit.Lines.Add(outline);
|
||
|
outline := '';
|
||
|
for i := 1 to 16 do outline := outline + ' | ';
|
||
|
outline := outline + x_axis;
|
||
|
OutputFrm.RichEdit.Lines.Add(outline);
|
||
|
outline := '';
|
||
|
for i := 1 to 16 do outline := outline + format('%4.1f',[(x_min + i * incrementx - incrementx)]);
|
||
|
OutputFrm.RichEdit.Lines.Add(outline);
|
||
|
OutputFrm.RichEdit.Lines.Add('');
|
||
|
OutputFrm.RichEdit.Lines.Add('Labels:');
|
||
|
for i := 1 to nocases do
|
||
|
begin
|
||
|
outline := format('%2d = %s',[i,Labels[i-1]]);
|
||
|
OutputFrm.RichEdit.Lines.Add(outline);
|
||
|
end;
|
||
|
OutputFrm.ShowModal;
|
||
|
OutputFrm.RichEdit.Clear;
|
||
|
Labels := nil;
|
||
|
end; { of scatplot procedure }
|
||
|
|
||
|
|
||
|
initialization
|
||
|
{$I singlelinkunit.lrs}
|
||
|
|
||
|
end.
|
||
|
|