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811 lines
25 KiB
ObjectPascal
811 lines
25 KiB
ObjectPascal
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unit KappaUnit;
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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, ExtCtrls, Buttons,
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MainUnit, Globals, OutputUnit, FunctionsLib, DictionaryUnit, DataProcs,
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MatrixLib, ContextHelpUnit;
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type
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{ TWeightedKappaFrm }
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TWeightedKappaFrm = class(TForm)
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Bevel1: TBevel;
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HelpBtn: TButton;
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ResetBtn: TButton;
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ComputeBtn: TButton;
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CloseBtn: TButton;
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ObsChk: TCheckBox;
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ExpChk: TCheckBox;
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PropChk: TCheckBox;
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ChiChk: TCheckBox;
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YatesChk: TCheckBox;
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SaveChk: TCheckBox;
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OptionsGroup: TGroupBox;
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NCasesEdit: TEdit;
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NCasesLbl: TLabel;
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RowIn: TBitBtn;
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RowOut: TBitBtn;
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ColIn: TBitBtn;
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ColOut: TBitBtn;
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DepIn: TBitBtn;
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DepOut: TBitBtn;
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RaterAEdit: TEdit;
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RaterBEdit: 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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DepLbl: TLabel;
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VarList: TListBox;
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InputGroup: TRadioGroup;
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procedure ColInClick(Sender: TObject);
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procedure ColOutClick(Sender: TObject);
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procedure ComputeBtnClick(Sender: TObject);
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procedure DepInClick(Sender: TObject);
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procedure DepOutClick(Sender: TObject);
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procedure FormActivate(Sender: TObject);
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procedure FormCreate(Sender: TObject);
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procedure FormShow(Sender: TObject);
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procedure HelpBtnClick(Sender: TObject);
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procedure InputGroupClick(Sender: TObject);
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procedure ResetBtnClick(Sender: TObject);
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procedure RowInClick(Sender: TObject);
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procedure RowOutClick(Sender: TObject);
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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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WeightedKappaFrm: TWeightedKappaFrm;
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implementation
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uses
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Math;
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{ TWeightedKappaFrm }
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procedure TWeightedKappaFrm.ResetBtnClick(Sender: TObject);
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var
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i: integer;
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begin
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RaterAEdit.Text := '';
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RaterBEdit.Text := '';
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DepEdit.Text := '';
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NCasesEdit.Text := '';
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InputGroup.ItemIndex := 0;
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VarList.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 TWeightedKappaFrm.RowInClick(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 (RaterAEdit.Text = '') then
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begin
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RaterAEdit.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 TWeightedKappaFrm.RowOutClick(Sender: TObject);
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begin
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if RaterAEdit.Text <> '' then
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begin
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VarList.Items.Add(RaterAEdit.Text);
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RaterAEdit.Text := '';
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end;
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UpdateBtnStates;
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end;
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procedure TWeightedKappaFrm.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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// Autosizing is not working for whatever reason...
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//AutoSize := false;
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w := MaxValue([HelpBtn.Width, ResetBtn.Width, ComputeBtn.Width, CloseBtn.Width]);
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HelpBtn.Constraints.MinWidth := w;
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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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//VarList.Constraints.MinHeight := OptionsGroup.Top + OptionsGroup.Height - NCasesEdit.Height - VarList.BorderSpacing.Bottom;
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Constraints.MinWidth := Width;
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Constraints.MinHeight := OptionsGroup.Top + OptionsGroup.Height + CloseBtn.Height + 2*CloseBtn.BorderSpacing.Bottom;
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FAutoSized := true;
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end;
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procedure TWeightedKappaFrm.FormCreate(Sender: TObject);
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begin
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Assert(OS3MainFrm <> nil);
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if DictionaryFrm = nil then
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Application.CreateForm(TDictionaryFrm, DictionaryFrm);
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end;
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procedure TWeightedKappaFrm.FormShow(Sender: TObject);
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begin
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ResetBtnClick(self);
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end;
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procedure TWeightedKappaFrm.HelpBtnClick(Sender: TObject);
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begin
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if ContextHelpForm = nil then
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Application.CreateForm(TContextHelpForm, ContextHelpForm);
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ContextHelpForm.HelpMessage((Sender as TButton).tag);
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end;
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procedure TWeightedKappaFrm.InputGroupClick(Sender: TObject);
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begin
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(*
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case InputGroup.ItemIndex of
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0: begin // have to count cases in each row and col. combination
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NCasesEdit.Enabled := false;
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NCasesLbl.Enabled := false;
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DepEdit.Enabled := false;
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end;
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1: begin // frequencies available for each row and column combo
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DepLbl.Enabled := true;
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NCasesLbl.Enabled := false;
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NCasesEdit.Enabled := false;
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DepEdit.Enabled := true;
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end;
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2: begin // only proportions available - get N size
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DepLbl.Enabled := true;
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NCasesEdit.Enabled := true;
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NCasesLbl.Enabled := true;
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DepEdit.Visible := Enabled;
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end;
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end;
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*)
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UpdateBtnStates;
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(*
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if (index = 2) then // only proportions available - get N size
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begin
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DepLbl.Visible := true;
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NCasesEdit.Visible := true;
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NCasesEdit.SetFocus;
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DepIn.Enabled := true;
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DepOut.Enabled := false;
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DepIn.Visible := true;
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DepOut.Visible := true;
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DepEdit.Visible := true;
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NCasesLbl.Visible := true;
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end;
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if (index = 1) then // frequencies available for each row and column combo
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begin
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DepLbl.Visible := true;
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NCasesEdit.Visible := false;
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DepIn.Enabled := true;
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DepOut.Enabled := false;
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DepIn.Visible := true;
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DepOut.Visible := true;
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DepEdit.Visible := true;
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NCasesLbl.Visible := false;
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end;
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if (index = 0) then // have to count cases in each row and col. combination
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begin
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NCasesEdit.Visible := false;
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DepIn.Visible := false;
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DepOut.Visible := false;
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DepEdit.Visible := false;
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DepLbl.Visible := false;
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NCasesLbl.Visible := false;
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end;
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*)
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end;
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procedure TWeightedKappaFrm.ColInClick(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 (RaterBEdit.Text = '') then
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begin
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RaterBEdit.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 TWeightedKappaFrm.ColOutClick(Sender: TObject);
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begin
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if RaterBEdit.Text <> '' then
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begin
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VarList.Items.Add(RaterBEdit.Text);
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RaterBEdit.Text := '';
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end;
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UpdateBtnStates;
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end;
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procedure TWeightedKappaFrm.ComputeBtnClick(Sender: TObject);
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var
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i, j, k, RowNo, ColNo, DepNo, MinRow, MaxRow, MinCol, MaxCol : integer;
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Row, Col, NoSelected, Ncases, Nrows, Ncols, FObs, df : integer;
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RowLabels, ColLabels : StrDyneVec;
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ColNoSelected : IntDyneVec;
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cellstring : string;
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outline : string;
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Freq : IntDyneMat;
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Prop, Expected, CellChi : DblDyneMat;
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PObs, ChiSquare, ProbChi, likelihood, Fval, phi : double;
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yates, aresult : boolean;
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title : string;
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Adjchisqr, Adjprobchi, problikelihood, pearsonr : double;
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pobserved, SumX, SumY, VarX, VarY, obsdiag, expdiag, expnondiag : double;
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pexpected, MantelHaenszel, MHprob, CoefCont, CramerV, Kappa : double;
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Frq : integer;
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weights, quadweights : DblDyneMat;
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lReport: TStrings;
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begin
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if RaterAEdit.Text = '' then
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begin
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MessageDlg('Rater A is not specified.', mtError, [mbOK], 0);
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exit;
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end;
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if RaterBEdit.Text = '' then
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begin
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MessageDlg('Rater B is not specified.', mtError, [mbOK], 0);
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exit;
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end;
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if InputGroup.ItemIndex > 0 then
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begin
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if DepEdit.Text = '' then
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begin
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MessageDlg('Dependent variable is not specified.', mtError, [mbOK], 0);
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exit;
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end;
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end;
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if InputGroup.ItemIndex = 2 then
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begin
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if NCasesEdit.Text = '' then
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begin
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NCasesEdit.SetFocus;
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MessageDlg('Total number of cases is not specified.', mtError, [mbOK], 0);
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exit;
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end;
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if not TryStrToInt(NCasesEdit.Text, i) then
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begin
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NCasesEdit.SetFocus;
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MessageDlg('Total number of cases is not a valid number.', mtError, [mbOK], 0);
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exit;
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end;
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end;
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SetLength(ColNoSelected,NoVariables);
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yates := false;
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RowNo := 0;
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ColNo := 0;
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DepNo := 0;
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pobserved := 0.0;
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pexpected := 0.0;
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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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if (cellstring = RaterAEdit.Text) then RowNo := i;
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if (cellstring = RaterBEdit.Text) then ColNo := i;
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if (cellstring = DepEdit.Text) then DepNo := i;
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end;
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(*
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if ((InputGroup.ItemIndex > 0) and (DepNo = 0)) then
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begin
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ShowMessage('ERROR! You must select a dependent variable.');
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ColNoSelected := nil;
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exit;
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end;
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if ((RowNo = 0) or (ColNo = 0)) then // || (DepNo == 0))
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begin
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ShowMessage('ERROR! A required variable has not been selected.');
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ColNoSelected := nil;
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exit;
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end;
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*)
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aresult := ValidValue(RowNo,1);
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if not aresult then
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begin
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ColNoSelected := nil;
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exit;
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end;
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aresult := ValidValue(ColNo,1);
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if not aresult then
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begin
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ColNoSelected := nil;
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exit;
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end;
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ColNoSelected[0] := RowNo;
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ColNoSelected[1] := ColNo;
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NoSelected := 2;
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if (InputGroup.ItemIndex > 0) then // for reading proportions or frequencies
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begin
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NoSelected := 3;
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ColNoSelected[2] := DepNo;
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end;
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if (InputGroup.ItemIndex = 1) then
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begin
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aresult := ValidValue(DepNo,1);
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if (aresult = false) then
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begin
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ColNoSelected := nil;
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exit;
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end;
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end;
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if (InputGroup.ItemIndex = 2) then
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begin
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aresult := ValidValue(DepNo,0);
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if (aresult = false) then
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begin
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ColNoSelected := nil;
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exit;
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end;
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end;
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// get min and max of row and col numbers
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MinRow := 1000;
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MaxRow := 0;
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MinCol := 1000;
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MaxCol := 0;
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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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Row := round(StrToFloat(OS3MainFrm.DataGrid.Cells[RowNo,i]));
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Col := round(StrToFloat(OS3MainFrm.DataGrid.Cells[ColNo,i]));
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if (Row > MaxRow) then MaxRow := Row;
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if (Row < MinRow) then MinRow := Row;
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if (Col > MaxCol) then MaxCol := Col;
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if (Col < MinCol) then MinCol := Col;
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end;
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Nrows := MaxRow - MinRow + 1;
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Ncols := MaxCol - MinCol + 1;
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// allocate and initialize
|
||
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SetLength(Freq,Nrows+1,Ncols+1);
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SetLength(Prop,Nrows+1,Ncols+1);
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SetLength(Expected,Nrows,Ncols);
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|
|
SetLength(CellChi,Nrows,Ncols);
|
||
|
|
SetLength(RowLabels,Nrows+1);
|
||
|
|
SetLength(ColLabels,Ncols+1);
|
||
|
|
for i := 1 to Nrows + 1 do
|
||
|
|
for j := 1 to Ncols + 1 do Freq[i-1,j-1] := 0;
|
||
|
|
for i := 1 to Nrows do
|
||
|
|
RowLabels[i-1] := Format('Row %d', [i]);
|
||
|
|
RowLabels[Nrows] := 'Total';
|
||
|
|
for j := 1 to Ncols do
|
||
|
|
ColLabels[j-1] := Format('COL. %d', [j]);
|
||
|
|
ColLabels[Ncols] := 'Total';
|
||
|
|
|
||
|
|
// get cell data
|
||
|
|
Ncases := 0;
|
||
|
|
if (InputGroup.ItemIndex = 0) then
|
||
|
|
begin // count number of cases in each row and column combination
|
||
|
|
for i := 1 to NoCases do
|
||
|
|
begin
|
||
|
|
if (not GoodRecord(i,NoSelected,ColNoSelected)) then
|
||
|
|
continue;
|
||
|
|
Ncases := Ncases + 1;
|
||
|
|
Row := round(StrToFloat(OS3MainFrm.DataGrid.Cells[RowNo,i]));
|
||
|
|
Col := round(StrToFloat(OS3MainFrm.DataGrid.Cells[ColNo,i]));
|
||
|
|
Row := Row - MinRow + 1;
|
||
|
|
Col := Col - MinCol + 1;
|
||
|
|
Freq[Row-1,Col-1] := Freq[Row-1,Col-1] + 1;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
if (InputGroup.ItemIndex = 1) then // read frequencies data from grid
|
||
|
|
begin
|
||
|
|
for i := 1 to NoCases do
|
||
|
|
begin
|
||
|
|
if (not GoodRecord(i,NoSelected,ColNoSelected)) then continue;
|
||
|
|
Row := round(StrToFloat(OS3MainFrm.DataGrid.Cells[RowNo,i]));
|
||
|
|
Col := round(StrToFloat(OS3MainFrm.DataGrid.Cells[ColNo,i]));
|
||
|
|
Row := Row - MinRow + 1;
|
||
|
|
Col := Col - MinCol + 1;
|
||
|
|
FObs := round(StrToFloat(OS3MainFrm.DataGrid.Cells[DepNo,i]));
|
||
|
|
Freq[Row-1,Col-1] := Freq[Row-1,Col-1] + FObs;
|
||
|
|
Ncases := Ncases + FObs;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
if (InputGroup.ItemIndex = 2) then // get no. of cases and proportions for each cell
|
||
|
|
begin
|
||
|
|
Ncases := StrToInt(NCasesEdit.Text);
|
||
|
|
for i := 1 to NoCases do
|
||
|
|
begin
|
||
|
|
if (not GoodRecord(i,NoSelected,ColNoSelected)) then continue;
|
||
|
|
Row := round(StrToFloat(OS3MainFrm.DataGrid.Cells[RowNo,i]));
|
||
|
|
Col := round(StrToFloat(OS3MainFrm.DataGrid.Cells[ColNo,i]));
|
||
|
|
Row := Row - MinRow + 1;
|
||
|
|
Col := Col - MinCol + 1;
|
||
|
|
PObs := round(StrToFloat(OS3MainFrm.DataGrid.Cells[DepNo,i]));
|
||
|
|
Frq := round(PObs * Ncases);
|
||
|
|
Fval := PObs * Ncases;
|
||
|
|
if (Fval - Frq < 0.5) then Frq := round(Fval)
|
||
|
|
else Frq := ceil(Fval);
|
||
|
|
Freq[Row-1,Col-1] := Freq[Row-1,Col-1] + Frq;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
Freq[Nrows,Ncols] := Ncases;
|
||
|
|
|
||
|
|
// Now, calculate expected values
|
||
|
|
// Get row totals first
|
||
|
|
for i := 1 to Nrows do
|
||
|
|
begin
|
||
|
|
for j := 1 to Ncols do
|
||
|
|
begin
|
||
|
|
Freq[i-1,Ncols] := Freq[i-1,Ncols] + Freq[i-1,j-1];
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
|
||
|
|
// Get col totals next
|
||
|
|
for j := 1 to Ncols do
|
||
|
|
begin
|
||
|
|
for i := 1 to Nrows do
|
||
|
|
begin
|
||
|
|
Freq[Nrows,j-1] := Freq[Nrows,j-1] + Freq[i-1,j-1];
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
|
||
|
|
// Then get expected values and cell chi-squares
|
||
|
|
ChiSquare := 0.0;
|
||
|
|
Adjchisqr := 0.0;
|
||
|
|
if ((YatesChk.Checked) and (Nrows = 2) and (Ncols = 2)) then yates := true;
|
||
|
|
for i := 1 to Nrows do
|
||
|
|
begin
|
||
|
|
for j := 1 to Ncols do
|
||
|
|
begin
|
||
|
|
Expected[i-1,j-1] := Freq[Nrows,j-1] * Freq[i-1,Ncols] / Ncases;
|
||
|
|
if (Expected[i-1,j-1] > 0.0) then
|
||
|
|
CellChi[i-1,j-1] := sqr(Freq[i-1,j-1] - Expected[i-1,j-1]) / Expected[i-1,j-1]
|
||
|
|
else
|
||
|
|
begin
|
||
|
|
MessageDlg('Zero expected value found.', mtError, [mbOK], 0);
|
||
|
|
CellChi[i-1,j-1] := 0.0;
|
||
|
|
end;
|
||
|
|
ChiSquare := ChiSquare + CellChi[i-1,j-1];
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
df := (Nrows - 1) * (Ncols - 1);
|
||
|
|
if (yates = true) then // 2 x 2 corrected chi-square
|
||
|
|
begin
|
||
|
|
Adjchisqr := abs((Freq[0,0] * Freq[1,1]) - (Freq[0,1] * Freq[1,0]));
|
||
|
|
Adjchisqr := sqr(Adjchisqr - Ncases / 2.0) * Ncases; // numerator
|
||
|
|
Adjchisqr := Adjchisqr / (Freq[0,2] * Freq[1,2] * Freq[2,0] * Freq[2,1]);
|
||
|
|
Adjprobchi := 1.0 - chisquaredprob(Adjchisqr,df);
|
||
|
|
end;
|
||
|
|
ProbChi := 1.0 - chisquaredprob(ChiSquare,df); // prob. larger chi
|
||
|
|
|
||
|
|
//Print results to output form
|
||
|
|
lReport := TStringList.Create;
|
||
|
|
try
|
||
|
|
lReport.Add('CHI-SQUARE ANALYSIS RESULTS FOR ' + RaterAEdit.Text + ' AND ' + RaterBEdit.Text);
|
||
|
|
lReport.Add('No. of Cases = %d', [Ncases]);
|
||
|
|
lReport.Add('');
|
||
|
|
|
||
|
|
// print tables requested by use
|
||
|
|
if (ObsChk.Checked) then
|
||
|
|
begin
|
||
|
|
IntArrayPrint(Freq, Nrows+1, Ncols+1, 'Frequencies',
|
||
|
|
RowLabels, ColLabels, 'OBSERVED FREQUENCIES', lReport);
|
||
|
|
lReport.Add('------------------------------------------------------------------------------');
|
||
|
|
lReport.Add('');
|
||
|
|
end;
|
||
|
|
|
||
|
|
if (ExpChk.Checked) then
|
||
|
|
begin
|
||
|
|
outline := 'EXPECTED FREQUENCIES';
|
||
|
|
MatPrint(Expected, Nrows, Ncols, outline, RowLabels, ColLabels, NoCases, lReport);
|
||
|
|
lReport.Add('------------------------------------------------------------------------------');
|
||
|
|
lReport.Add('');
|
||
|
|
end;
|
||
|
|
|
||
|
|
if (PropChk.Checked) then
|
||
|
|
begin
|
||
|
|
outline := 'ROW PROPORTIONS';
|
||
|
|
for i := 1 to Nrows + 1 do
|
||
|
|
begin
|
||
|
|
for j := 1 to Ncols do
|
||
|
|
begin
|
||
|
|
if (Freq[i-1,Ncols] > 0.0) then
|
||
|
|
Prop[i-1,j-1] := Freq[i-1,j-1] / Freq[i-1,Ncols]
|
||
|
|
else
|
||
|
|
Prop[i-1,j-1] := 0.0;
|
||
|
|
end;
|
||
|
|
if (Freq[i-1,Ncols] > 0.0) then
|
||
|
|
Prop[i-1,Ncols] := 1.0
|
||
|
|
else
|
||
|
|
Prop[i-1][Ncols] := 0.0;
|
||
|
|
end;
|
||
|
|
MatPrint(Prop, Nrows+1, Ncols+1, outline, RowLabels, ColLabels, NoCases, lReport);
|
||
|
|
lReport.Add('------------------------------------------------------------------------------');
|
||
|
|
lReport.Add('');
|
||
|
|
|
||
|
|
outline := 'COLUMN PROPORTIONS';
|
||
|
|
for j := 1 to Ncols + 1 do
|
||
|
|
begin
|
||
|
|
for i := 1 to Nrows do
|
||
|
|
begin
|
||
|
|
if (Freq[Nrows,j-1] > 0.0) then
|
||
|
|
Prop[i-1,j-1] := Freq[i-1,j-1] / Freq[Nrows,j-1]
|
||
|
|
else
|
||
|
|
Prop[i-1,j-1] := 0.0;
|
||
|
|
end;
|
||
|
|
if (Freq[Nrows,j-1] > 0.0) then
|
||
|
|
Prop[Nrows][j-1] := 1.0
|
||
|
|
else
|
||
|
|
Prop[Nrows,j-1] := 0.0;
|
||
|
|
end;
|
||
|
|
MatPrint(Prop, Nrows+1, Ncols+1, outline, RowLabels, ColLabels, NoCases, lReport);
|
||
|
|
lReport.Add('------------------------------------------------------------------------------');
|
||
|
|
lReport.Add('');
|
||
|
|
|
||
|
|
outline := 'PROPORTIONS OF TOTAL N';
|
||
|
|
for i := 1 to Nrows + 1 do
|
||
|
|
for j := 1 to Ncols + 1 do Prop[i-1,j-1] := Freq[i-1,j-1] / Ncases;
|
||
|
|
Prop[Nrows,Ncols] := 1.0;
|
||
|
|
MatPrint(Prop, Nrows+1, Ncols+1, outline, RowLabels, ColLabels, NoCases, lReport);
|
||
|
|
lReport.Add('------------------------------------------------------------------------------');
|
||
|
|
lReport.Add('');
|
||
|
|
end;
|
||
|
|
|
||
|
|
if (ChiChk.Checked) then
|
||
|
|
begin
|
||
|
|
outline := 'CHI-SQUARED VALUE FOR CELLS';
|
||
|
|
MatPrint(CellChi, Nrows, Ncols, outline, RowLabels, ColLabels, NoCases, lReport);
|
||
|
|
lReport.Add('------------------------------------------------------------------------------');
|
||
|
|
lReport.Add('');
|
||
|
|
end;
|
||
|
|
|
||
|
|
lReport.Add('');
|
||
|
|
lReport.Add('Chi-square: %.3f with D.F. %d. Prob. > value %.3f', [ChiSquare, df, ProbChi]);
|
||
|
|
lReport.Add('');
|
||
|
|
|
||
|
|
if yates then
|
||
|
|
lReport.Add('Chi-square using Yates correction %.3f and Prob > value %.3f', [Adjchisqr, Adjprobchi]);
|
||
|
|
|
||
|
|
likelihood := 0.0;
|
||
|
|
for i := 0 to Nrows - 1 do
|
||
|
|
for j := 0 to Ncols - 1 do
|
||
|
|
likelihood := likelihood + Freq[i,j] * (ln(Expected[i,j] / Freq[i,j]));
|
||
|
|
likelihood := -2.0 * likelihood;
|
||
|
|
problikelihood := 1.0 - chisquaredprob(likelihood,df);
|
||
|
|
lReport.Add('Likelihood Ratio %.3f with prob. > value %.4f', [likelihood, problikelihood]);
|
||
|
|
lReport.Add('');
|
||
|
|
|
||
|
|
phi := sqrt(ChiSquare / Ncases);
|
||
|
|
lReport.Add('phi correlation: %.4f', [phi]);
|
||
|
|
lReport.Add('');
|
||
|
|
|
||
|
|
pearsonr := 0.0;
|
||
|
|
SumX := 0.0;
|
||
|
|
SumY := 0.0;
|
||
|
|
VarX := 0.0;
|
||
|
|
VarY := 0.0;
|
||
|
|
for i := 0 to Nrows - 1 do SumX := SumX + ( (i+1) * Freq[i,Ncols] );
|
||
|
|
for j := 0 to Ncols - 1 do SumY := SumY + ( (j+1) * Freq[Nrows,j] );
|
||
|
|
for i := 0 to Nrows - 1 do VarX := VarX + ( ((i+1)*(i+1)) * Freq[i,Ncols] );
|
||
|
|
for j := 0 to Ncols - 1 do VarY := VarY + ( ((j+1)*(j+1)) * Freq[Nrows,j] );
|
||
|
|
VarX := VarX - ((SumX * SumX) / Ncases);
|
||
|
|
VarY := VarY - ((SumY * SumY) / Ncases);
|
||
|
|
for i := 0 to Nrows - 1 do
|
||
|
|
for j := 0 to Ncols - 1 do
|
||
|
|
pearsonr := pearsonr + ((i+1)*(j+1) * Freq[i,j]);
|
||
|
|
pearsonr := pearsonr - (SumX * SumY / Ncases);
|
||
|
|
pearsonr := pearsonr / sqrt(VarX * VarY);
|
||
|
|
lReport.Add('Pearson Correlation r = %6.4f', [pearsonr]);
|
||
|
|
lReport.Add('');
|
||
|
|
|
||
|
|
MantelHaenszel := (Ncases-1) * (pearsonr * pearsonr);
|
||
|
|
MHprob := 1.0 - chisquaredprob(MantelHaenszel,1);
|
||
|
|
lReport.Add('Mantel-Haenszel Test of Linear Association: %.3f with probability > value = %.4f', [MantelHaenszel, MHprob]);
|
||
|
|
lReport.Add('');
|
||
|
|
|
||
|
|
CoefCont := sqrt(ChiSquare / (ChiSquare + Ncases));
|
||
|
|
lReport.Add('The coefficient of contingency: %.3f', [CoefCont]);
|
||
|
|
lReport.Add('');
|
||
|
|
|
||
|
|
if (Nrows < Ncols) then
|
||
|
|
CramerV := sqrt(ChiSquare / (Ncases * ((Nrows-1))))
|
||
|
|
else
|
||
|
|
CramerV := sqrt(ChiSquare / (Ncases * ((Ncols-1))));
|
||
|
|
lReport.Add('Cramers V: %.3f', [CramerV]);
|
||
|
|
|
||
|
|
// kappa
|
||
|
|
if (Nrows = Ncols) then
|
||
|
|
begin
|
||
|
|
obsdiag := 0.0;
|
||
|
|
expdiag := 0.0;
|
||
|
|
for i := 0 to Nrows - 1 do
|
||
|
|
begin
|
||
|
|
obsdiag := obsdiag + Freq[i,i];
|
||
|
|
expdiag := expdiag + Expected[i,i];
|
||
|
|
end;
|
||
|
|
expnondiag := Ncases - expdiag;
|
||
|
|
Kappa := (obsdiag - expdiag) / expnondiag;
|
||
|
|
lReport.Add('');
|
||
|
|
lReport.Add('Unweighted Kappa: %.4f', [Kappa]);
|
||
|
|
|
||
|
|
// get linear weights
|
||
|
|
SetLength(weights,Nrows,Ncols);
|
||
|
|
SetLength(quadweights,Nrows,Ncols);
|
||
|
|
for i := 0 to Nrows - 1 do
|
||
|
|
begin
|
||
|
|
for j := 0 to Ncols - 1 do
|
||
|
|
begin
|
||
|
|
weights[i,j] := 0.0;
|
||
|
|
quadweights[i,j] := 0.0;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
for i := 0 to Nrows - 1 do
|
||
|
|
begin
|
||
|
|
for j := 0 to Ncols - 1 do
|
||
|
|
begin
|
||
|
|
weights[i,j] := 1.0 - (abs((i-j)) / (Nrows-1));
|
||
|
|
quadweights[i,j] := 1.0 - ( abs((i-j)*(i-j)) / ((Nrows-1)*(Nrows-1)) );
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
|
||
|
|
outline := 'Observed Linear Weights';
|
||
|
|
MatPrint(weights, Nrows, Ncols, outline, RowLabels, ColLabels, NoCases, lReport);
|
||
|
|
lReport.Add('------------------------------------------------------------------------------');
|
||
|
|
lReport.Add('');
|
||
|
|
|
||
|
|
outline := 'Observed Quadratic Weights';
|
||
|
|
MatPrint(quadweights, Nrows, Ncols, outline, RowLabels, ColLabels, NoCases, lReport);
|
||
|
|
lReport.Add('------------------------------------------------------------------------------');
|
||
|
|
lReport.Add('');
|
||
|
|
|
||
|
|
for i := 0 to Nrows - 1 do
|
||
|
|
begin
|
||
|
|
for j := 0 to Ncols - 1 do
|
||
|
|
begin
|
||
|
|
pobserved := pobserved + (Freq[i][j] / Ncases) * weights[i,j];
|
||
|
|
pexpected := pexpected + (Expected[i,j] / Ncases) * weights[i,j];
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
Kappa := (pobserved - pexpected) / (1.0 - pexpected);
|
||
|
|
lReport.Add('Linear Weighted Kappa: %.4f', [Kappa]);
|
||
|
|
|
||
|
|
pobserved := 0.0;
|
||
|
|
pexpected := 0.0;
|
||
|
|
for i := 0 to Nrows - 1 do
|
||
|
|
begin
|
||
|
|
for j := 0 to Ncols - 1 do
|
||
|
|
begin
|
||
|
|
pobserved := pobserved + (Freq[i,j] / Ncases) * quadweights[i,j];
|
||
|
|
pexpected := pexpected + (Expected[i,j] / Ncases) * quadweights[i,j];
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
Kappa := (pobserved - pexpected) / (1.0 - pexpected);
|
||
|
|
lReport.Add('Quadratic Weighted Kappa: %.4f', [Kappa]);
|
||
|
|
quadweights := nil;
|
||
|
|
weights := nil;
|
||
|
|
end;
|
||
|
|
|
||
|
|
DisplayReport(lReport);
|
||
|
|
finally
|
||
|
|
lReport.Free;
|
||
|
|
end;
|
||
|
|
|
||
|
|
// save frequency data file if elected
|
||
|
|
if ((SaveChk.Checked) and (InputGroup.ItemIndex = 0)) then
|
||
|
|
begin
|
||
|
|
ClearGrid;
|
||
|
|
for i := 1 to 3 do DictionaryFrm.NewVar(i);
|
||
|
|
DictionaryFrm.DictGrid.Cells[1,1] := 'ROW';
|
||
|
|
DictionaryFrm.DictGrid.Cells[1,2] := 'COL';
|
||
|
|
DictionaryFrm.DictGrid.Cells[1,3] := 'FREQ.';
|
||
|
|
OS3MainFrm.DataGrid.Cells[1,0] := 'ROW';
|
||
|
|
OS3MainFrm.DataGrid.Cells[2,0] := 'COL';
|
||
|
|
OS3MainFrm.DataGrid.Cells[3,0] := 'Freq.';
|
||
|
|
k := 1;
|
||
|
|
for i := 1 to Nrows do
|
||
|
|
begin
|
||
|
|
for j := 1 to Ncols do
|
||
|
|
begin
|
||
|
|
OS3MainFrm.DataGrid.RowCount := k + 1;
|
||
|
|
OS3MainFrm.DataGrid.Cells[1,k] := IntToStr(i);
|
||
|
|
OS3MainFrm.DataGrid.Cells[2,k] := IntToStr(j);
|
||
|
|
OS3MainFrm.DataGrid.Cells[3,k] := IntToStr(Freq[i-1,j-1]);
|
||
|
|
k := k + 1;
|
||
|
|
end;
|
||
|
|
end;
|
||
|
|
for i := 1 to k - 1 do
|
||
|
|
begin
|
||
|
|
title := 'CASE ' + IntToStr(i);
|
||
|
|
OS3MainFrm.DataGrid.Cells[0,i] := title;
|
||
|
|
end;
|
||
|
|
title := InputBox('FILE:','File Name:','Frequencies.LAZ');
|
||
|
|
OS3MainFrm.FileNameEdit.Text := title;
|
||
|
|
OS3MainFrm.NoVarsEdit.Text := IntToStr(3);
|
||
|
|
OS3MainFrm.NoCasesEdit.Text := IntToStr(k-1);
|
||
|
|
NoVariables := 3;
|
||
|
|
NoCases := k-1;
|
||
|
|
|
||
|
|
SaveOS2File;
|
||
|
|
end;
|
||
|
|
|
||
|
|
//clean up
|
||
|
|
ColLabels := nil;
|
||
|
|
RowLabels := nil;
|
||
|
|
CellChi := nil;
|
||
|
|
Expected := nil;
|
||
|
|
Prop := nil;
|
||
|
|
Freq := nil;
|
||
|
|
ColNoSelected := nil;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TWeightedKappaFrm.DepInClick(Sender: TObject);
|
||
|
|
var
|
||
|
|
index: integer;
|
||
|
|
begin
|
||
|
|
index := VarList.ItemIndex;
|
||
|
|
if (index > -1) and (DepEdit.Text = '') then
|
||
|
|
begin
|
||
|
|
DepEdit.Text := VarList.Items[index];
|
||
|
|
VarList.Items.Delete(index);
|
||
|
|
end;
|
||
|
|
UpdateBtnStates;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TWeightedKappaFrm.DepOutClick(Sender: TObject);
|
||
|
|
begin
|
||
|
|
if DepEdit.Text <> '' then
|
||
|
|
begin
|
||
|
|
VarList.Items.Add(DepEdit.Text);
|
||
|
|
DepEdit.Text := '';
|
||
|
|
end;
|
||
|
|
UpdateBtnStates;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TWeightedKappaFrm.UpdateBtnStates;
|
||
|
|
begin
|
||
|
|
RowIn.Enabled := (VarList.ItemIndex > -1) and (RaterAEdit.Text = '');
|
||
|
|
RowOut.Enabled := (RaterAEdit.Text <> '');
|
||
|
|
|
||
|
|
ColIn.Enabled := (VarList.ItemIndex > -1) and (RaterBEdit.Text = '');
|
||
|
|
ColOut.Enabled := (RaterBEdit.Text <> '');
|
||
|
|
|
||
|
|
DepIn.Enabled := (InputGroup.ItemIndex > 0) and (VarList.ItemIndex > -1) and (DepEdit.Text = '');
|
||
|
|
DepOut.Enabled := (InputGroup.ItemIndex > 0) and (DepEdit.Text <> '');
|
||
|
|
DepEdit.Enabled := (InputGroup.ItemIndex > 0);
|
||
|
|
DepLbl.Enabled := DepEdit.Enabled;
|
||
|
|
|
||
|
|
NCasesEdit.Enabled := (InputGroup.ItemIndex = 2);
|
||
|
|
NCasesLbl.Enabled := NCasesEdit.Enabled;
|
||
|
|
end;
|
||
|
|
|
||
|
|
procedure TWeightedKappaFrm.VarListSelectionChange(Sender: TObject; User: boolean);
|
||
|
|
begin
|
||
|
|
UpdateBtnStates;
|
||
|
|
end;
|
||
|
|
|
||
|
|
initialization
|
||
|
|
{$I kappaunit.lrs}
|
||
|
|
|
||
|
|
end.
|
||
|
|
|