From ff026810af529d42091da478959efdbab5b29fb9 Mon Sep 17 00:00:00 2001 From: wp_xxyyzz Date: Tue, 7 Apr 2020 21:08:21 +0000 Subject: [PATCH] LazStats: Remove Cancel button from CanonUnit, improved usability of arrow buttons, create text report in TStringlist, not in OutputFrm. Add help to help file. git-svn-id: https://svn.code.sf.net/p/lazarus-ccr/svn@7362 8e941d3f-bd1b-0410-a28a-d453659cc2b4 --- .../lazstats/docs/HelpNDoc/LazStats.hnd | Bin 5537792 -> 5578752 bytes applications/lazstats/docs/chm/LazStats.chm | Bin 1720783 -> 1769901 bytes .../forms/analysis/correlation/canonunit.lfm | 61 +- .../forms/analysis/correlation/canonunit.pas | 904 +++++++++--------- 4 files changed, 501 insertions(+), 464 deletions(-) diff --git a/applications/lazstats/docs/HelpNDoc/LazStats.hnd b/applications/lazstats/docs/HelpNDoc/LazStats.hnd index c746946d3cb71d3fb7a08366820d98609a8afc0a..8fd7196d29d604ad5aa9b2f1e31c57bdeb64a1ed 100644 GIT binary patch delta 19482 zcmb`v2V7HG*Dstv3Iqtfx6pg7Ev4f2*2#5u-fCwT{>2|83 zhze3vL=kC%6s3Io1a-!FeeOK>{qFEvBspiFy;ooVwStqH`jjEHp_3s?80(EfVO@`q zOwrzHzPo+VH+&h+n=<9FK0v|i_B2*A26Z$8>x1i@W_!@Id*%!b1RT6!n&wMubzsop zW{1ld*(H$QHSAUFVKfe3h6hAEdl<^z8bbk5P12HJIg%j~kM4k^j+K>t6AG8M6@|ilO^c)LG-2F{W?YY^0=yYx 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object CannonFrm: TCannonFrm end end object ResetBtn: TButton - AnchorSideRight.Control = CancelBtn + AnchorSideRight.Control = ComputeBtn AnchorSideBottom.Control = Owner AnchorSideBottom.Side = asrBottom - Left = 104 + Left = 192 Height = 25 Top = 346 Width = 54 Anchors = [akRight, akBottom] AutoSize = True - BorderSpacing.Left = 12 + BorderSpacing.Left = 8 BorderSpacing.Top = 8 - BorderSpacing.Right = 12 + BorderSpacing.Right = 8 BorderSpacing.Bottom = 8 Caption = 'Reset' OnClick = ResetBtnClick TabOrder = 3 end - object CancelBtn: TButton - AnchorSideRight.Control = ComputeBtn - AnchorSideBottom.Control = Owner - AnchorSideBottom.Side = asrBottom - Left = 170 - Height = 25 - Top = 346 - Width = 62 - Anchors = [akRight, akBottom] - AutoSize = True - BorderSpacing.Left = 12 - BorderSpacing.Top = 8 - BorderSpacing.Right = 12 - BorderSpacing.Bottom = 8 - Caption = 'Cancel' - ModalResult = 2 - TabOrder = 4 - end object ComputeBtn: TButton - AnchorSideRight.Control = ReturnBtn + AnchorSideRight.Control = CloseBtn AnchorSideBottom.Control = Owner AnchorSideBottom.Side = asrBottom - Left = 244 + Left = 254 Height = 25 Top = 346 Width = 76 Anchors = [akRight, akBottom] AutoSize = True - BorderSpacing.Left = 12 + BorderSpacing.Left = 8 BorderSpacing.Top = 8 - BorderSpacing.Right = 12 + BorderSpacing.Right = 8 BorderSpacing.Bottom = 8 Caption = 'Compute' OnClick = ComputeBtnClick - TabOrder = 5 + TabOrder = 4 end - object ReturnBtn: TButton + object CloseBtn: TButton AnchorSideRight.Control = Owner AnchorSideRight.Side = asrBottom AnchorSideBottom.Control = Owner AnchorSideBottom.Side = asrBottom - Left = 332 + Left = 338 Height = 25 Top = 346 - Width = 61 + Width = 55 Anchors = [akRight, akBottom] AutoSize = True - BorderSpacing.Left = 12 + BorderSpacing.Left = 8 BorderSpacing.Top = 8 BorderSpacing.Right = 8 BorderSpacing.Bottom = 8 - Caption = 'Return' - ModalResult = 1 - TabOrder = 6 + Caption = 'Close' + ModalResult = 11 + TabOrder = 5 end object HelpBtn: TButton Tag = 111 AnchorSideRight.Control = ResetBtn AnchorSideBottom.Control = Owner AnchorSideBottom.Side = asrBottom - Left = 41 + Left = 133 Height = 25 Top = 346 Width = 51 @@ -151,7 +133,7 @@ object CannonFrm: TCannonFrm AutoSize = True BorderSpacing.Left = 8 BorderSpacing.Top = 8 - BorderSpacing.Right = 12 + BorderSpacing.Right = 8 BorderSpacing.Bottom = 8 Caption = 'Help' OnClick = HelpBtnClick @@ -161,7 +143,7 @@ object CannonFrm: TCannonFrm AnchorSideLeft.Control = Owner AnchorSideRight.Control = Owner AnchorSideRight.Side = asrBottom - AnchorSideBottom.Control = ReturnBtn + AnchorSideBottom.Control = CloseBtn Left = 0 Height = 8 Top = 330 @@ -235,6 +217,7 @@ object CannonFrm: TCannonFrm Constraints.MinHeight = 220 ItemHeight = 0 MultiSelect = True + OnSelectionChange = VarListSelectionChange TabOrder = 0 end object LeftIn: TBitBtn @@ -461,6 +444,8 @@ object CannonFrm: TCannonFrm BorderSpacing.Right = 8 BorderSpacing.Bottom = 16 ItemHeight = 0 + MultiSelect = True + OnSelectionChange = VarListSelectionChange TabOrder = 3 end object RightList: TListBox @@ -478,6 +463,8 @@ object CannonFrm: TCannonFrm Anchors = [akTop, akLeft, akRight, akBottom] BorderSpacing.Top = 2 ItemHeight = 0 + MultiSelect = True + OnSelectionChange = VarListSelectionChange TabOrder = 6 end end diff --git a/applications/lazstats/source/forms/analysis/correlation/canonunit.pas b/applications/lazstats/source/forms/analysis/correlation/canonunit.pas index b7f96cab2..78c034f73 100644 --- a/applications/lazstats/source/forms/analysis/correlation/canonunit.pas +++ b/applications/lazstats/source/forms/analysis/correlation/canonunit.pas @@ -1,3 +1,5 @@ +// File for testing: cansas.laz + unit CanonUnit; {$mode objfpc}{$H+} @@ -19,9 +21,8 @@ type HelpBtn: TButton; Panel1: TPanel; ResetBtn: TButton; - CancelBtn: TButton; ComputeBtn: TButton; - ReturnBtn: TButton; + CloseBtn: TButton; CorsChk: TCheckBox; InvChk: TCheckBox; EigenChk: TCheckBox; @@ -47,9 +48,11 @@ type procedure ResetBtnClick(Sender: TObject); procedure RightInClick(Sender: TObject); procedure RightOutClick(Sender: TObject); + procedure VarListSelectionChange(Sender: TObject; User: boolean); private { private declarations } FAutoSized: Boolean; + procedure UpdateBtnStates; public { public declarations } end; @@ -60,54 +63,57 @@ var implementation uses - Math; + Math, + Utils; { TCannonFrm } procedure TCannonFrm.ResetBtnClick(Sender: TObject); -VAR i : integer; +var + i: integer; begin - VarList.Clear; - LeftList.Clear; - RightList.Clear; - LeftOut.Enabled := false; - LeftIn.Enabled := true; - RightOut.Enabled := false; - RightIn.Enabled := true; - for i := 1 to NoVariables do - VarList.Items.Add(OS3MainFrm.DataGrid.Cells[i,0]); + VarList.Clear; + LeftList.Clear; + RightList.Clear; + for i := 1 to NoVariables do + VarList.Items.Add(OS3MainFrm.DataGrid.Cells[i,0]); + UpdateBtnStates; end; procedure TCannonFrm.RightInClick(Sender: TObject); -VAR i, index : integer; +var + i: integer; begin - index := VarList.Items.Count; - i := 0; - while i < index do - begin - if (VarList.Selected[i]) then - begin - RightList.Items.Add(VarList.Items.Strings[i]); - VarList.Items.Delete(i); - index := index - 1; - i := 0; - end - else i := i + 1; - end; - RightOut.Enabled := true; + i := 0; + while i < VarList.Items.Count do + begin + if VarList.Selected[i] then + begin + RightList.Items.Add(VarList.Items[i]); + VarList.Items.Delete(i); + i := 0; + end else + i := i + 1; + end; + UpdateBtnStates; end; procedure TCannonFrm.RightOutClick(Sender: TObject); -VAR index : integer; +var + i: integer; begin - index := RightList.ItemIndex; - if index < 0 then - begin - RightOut.Enabled := false; - exit; - end; - VarList.Items.Add(RightList.Items.Strings[index]); - RightList.Items.Delete(index); + i := 0; + while i < RightList.Items.Count do + begin + if RightList.Selected[i] then + begin + VarList.Items.Add(RightList.Items[i]); + RightList.Items.Delete(i); + i := 0; + end else + i := i + 1; + end; + UpdateBtnStates; end; procedure TCannonFrm.FormActivate(Sender: TObject); @@ -117,12 +123,11 @@ begin if FAutoSized then exit; - w := MaxValue([HelpBtn.Width, ResetBtn.Width, CancelBtn.Width, ComputeBtn.Width, ReturnBtn.Width]); + w := MaxValue([HelpBtn.Width, ResetBtn.Width, ComputeBtn.Width, CloseBtn.Width]); HelpBtn.Constraints.MinWidth := w; ResetBtn.Constraints.MinWidth := w; - CancelBtn.Constraints.MinWidth := w; ComputeBtn.Constraints.MinWidth := w; - ReturnBtn.Constraints.MinWidth := w; + CloseBtn.Constraints.MinWidth := w; Constraints.MinWidth := Width; Constraints.MinHeight := Height; @@ -133,7 +138,6 @@ end; procedure TCannonFrm.FormCreate(Sender: TObject); begin Assert(OS3MainFrm <> nil); - if OutputFrm = nil then Application.CreateForm(TOutputFrm, OutputFrm); end; procedure TCannonFrm.FormShow(Sender: TObject); @@ -149,399 +153,424 @@ begin end; procedure TCannonFrm.ComputeBtnClick(Sender: TObject); -label cleanup; +const + SEPARATOR = '==========================================================================='; var - i, j, k, count, a_size, b_size, no_factors, novars, IER: integer; - outline, cellstring, gridstring: string; - s, m, n, df1, df2, q, w, pcnt_extracted, trace : double; - minroot, critical_prob, Lambda, Pillia : double; - chisqr, HLTrace, chiprob, ftestprob, Roys, f, Hroot : double; - raa, rbb, rab, rba, bigmat, prod, first_prod, second_prod : DblDyneMat; - char_equation, raainv, rbbinv, eigenvectors, norm_a, norm_b : DblDyneMat; - raw_a, raw_b, a_cors, b_cors, eigentrans, theta, tempmat : DblDyneMat; - mean, variance, stddev, roots, root_chi, chi_prob, pv_a, pv_b : DblDyneVec; - rd_a, rd_b, pcnt_trace : DblDyneVec; - root_df, a_vars, b_vars : IntDyneVec; - selected : IntDyneVec; - RowLabels, ColLabels : StrDyneVec; - CanLabels : StrDyneVec; - NCases : integer; - title : string; - errorcode : boolean = false; - + i, j, k, count, a_size, b_size, no_factors, novars, IER: integer; + outline, cellstring, gridstring: string; + s, m, n, df1, df2, q, w, pcnt_extracted, trace : double; + minroot, critical_prob, Lambda, Pillia : double; + chisqr, HLTrace, chiprob, ftestprob, Roys, f, Hroot : double; + raa, rbb, rab, rba, bigmat, prod, first_prod, second_prod : DblDyneMat; + char_equation, raainv, rbbinv, eigenvectors, norm_a, norm_b : DblDyneMat; + raw_a, raw_b, a_cors, b_cors, eigentrans, theta, tempmat : DblDyneMat; + mean, variance, stddev, roots, root_chi, chi_prob, pv_a, pv_b : DblDyneVec; + rd_a, rd_b, pcnt_trace : DblDyneVec; + root_df, a_vars, b_vars : IntDyneVec; + selected : IntDyneVec; + RowLabels, ColLabels : StrDyneVec; + CanLabels : StrDyneVec; + title : string; + NCases: integer = 0; + errorcode: boolean = false; + lReport: TStrings; begin - k := 0; - no_factors := 0; - pcnt_extracted := 0.0; - trace := 0.0; - minroot := 0.0; - critical_prob := 0.0; - Pillia := 0.0; - chisqr := 0.0; - HLTrace := 0.0; - chiprob := 0.0; + if LeftList.Items.Count = 0 then + begin + MessageDlg('No left-hand variable selected.', mtError, [mbOK], 0); + exit; + end; - // Get size of the Left and Right matrices (predictors and dependents) - a_size := LeftList.Items.Count; - b_size := RightList.Items.Count; - novars := a_size + b_size; + if RightList.Items.Count = 0 then + begin + MessageDlg('No right-hand variable selected.', mtError, [mbOK], 0); + exit; + end; - // allocate memory for matrices and vectors - SetLength(raa,a_size,a_size); - SetLength(rbb,b_size,b_size); - SetLength(rab,a_size,b_size); - SetLength(rba,b_size,a_size); - SetLength(bigmat,novars+1,novars+1); - SetLength(prod,novars,novars); - SetLength(first_prod,novars,novars); - SetLength(second_prod,novars,novars); - SetLength(char_equation,novars,novars); - SetLength(raainv,a_size,a_size); - SetLength(rbbinv,b_size,b_size); - SetLength(eigenvectors,novars,novars); - SetLength(norm_a,novars,novars); - SetLength(norm_b,novars,novars); - SetLength(raw_a,novars,novars); - SetLength(raw_b,novars,novars); - SetLength(a_cors,novars,novars); - SetLength(b_cors,novars,novars); - SetLength(eigentrans,novars,novars); - SetLength(theta,novars,novars); - SetLength(tempmat,novars,novars); + k := 0; + no_factors := 0; + pcnt_extracted := 0.0; + trace := 0.0; + minroot := 0.0; + critical_prob := 0.0; + Pillia := 0.0; + chisqr := 0.0; + HLTrace := 0.0; + chiprob := 0.0; - SetLength(mean,novars); - SetLength(variance,novars); - SetLength(stddev,novars); - SetLength(roots,novars); - SetLength(root_chi,novars); - SetLength(chi_prob,novars); - SetLength(pv_a,novars); - SetLength(pv_b,novars); - SetLength(rd_a,novars); - SetLength(rd_b,novars); - SetLength(pcnt_trace,novars); + // Get size of the Left and Right matrices (predictors and dependents) + a_size := LeftList.Items.Count; + b_size := RightList.Items.Count; + novars := a_size + b_size; - SetLength(root_df,novars); - SetLength(a_vars,a_size); - SetLength(b_vars,b_size); - SetLength(CanLabels,novars); - SetLength(RowLabels,novars); - SetLength(ColLabels,novars); - SetLength(Selected,novars); + // allocate memory for matrices and vectors + SetLength(raa,a_size,a_size); + SetLength(rbb,b_size,b_size); + SetLength(rab,a_size,b_size); + SetLength(rba,b_size,a_size); + SetLength(bigmat,novars+1,novars+1); + SetLength(prod,novars,novars); + SetLength(first_prod,novars,novars); + SetLength(second_prod,novars,novars); + SetLength(char_equation,novars,novars); + SetLength(raainv,a_size,a_size); + SetLength(rbbinv,b_size,b_size); + SetLength(eigenvectors,novars,novars); + SetLength(norm_a,novars,novars); + SetLength(norm_b,novars,novars); + SetLength(raw_a,novars,novars); + SetLength(raw_b,novars,novars); + SetLength(a_cors,novars,novars); + SetLength(b_cors,novars,novars); + SetLength(eigentrans,novars,novars); + SetLength(theta,novars,novars); + SetLength(tempmat,novars,novars); - //------------ WORK STARTS HERE! ------------------------------------- + SetLength(mean,novars); + SetLength(variance,novars); + SetLength(stddev,novars); + SetLength(roots,novars); + SetLength(root_chi,novars); + SetLength(chi_prob,novars); + SetLength(pv_a,novars); + SetLength(pv_b,novars); + SetLength(rd_a,novars); + SetLength(rd_b,novars); + SetLength(pcnt_trace,novars); - // Build labels for canonical functions 1 to novars - for i := 1 to b_size do - CanLabels[i-1]:='Var. ' + IntToStr(i); + SetLength(root_df,novars); + SetLength(a_vars,a_size); + SetLength(b_vars,b_size); + SetLength(CanLabels,novars); + SetLength(RowLabels,novars); + SetLength(ColLabels,novars); + SetLength(Selected,novars); - // identify variables selected for left and right variables - for i := 0 to a_size - 1 do // identify left variables - begin - cellstring := LeftList.Items.Strings[i]; - for j := 1 to NoVariables do - begin - gridstring := OS3MainFrm.DataGrid.Cells[j,0]; - if (cellstring = gridstring) then - begin - a_vars[i] := j; - RowLabels[i] := gridstring; - end; - end; - end; - for i := 0 to b_size - 1 do // identify left variables - begin - cellstring := RightList.Items.Strings[i]; - for j := 1 to NoVariables do - begin - gridstring := OS3MainFrm.DataGrid.Cells[j,0]; - if (cellstring = gridstring) then - begin - b_vars[i] := j; - ColLabels[i] := gridstring; - end; - end; - end; + //------------ WORK STARTS HERE! ------------------------------------- - // build list of all variables selected - for i := 1 to a_size do selected[i-1] := a_vars[i-1]; - for i := 1 to b_size do selected[i-1 + a_size] := b_vars[i-1]; + // Build labels for canonical functions 1 to novars + for i := 1 to b_size do + CanLabels[i-1]:='Var. ' + IntToStr(i); - OutputFrm.RichEdit.Clear; - OutputFrm.RichEdit.Lines.Add('CANONICAL CORRELATION ANALYSIS'); - OutputFrm.RichEdit.Lines.Add(''); - // Get means, standard deviations, etc. for total matrix - Correlations(novars,selected,bigmat,mean,variance,stddev,errorcode,Ncases); - count := Ncases; - if (IER = 1)then - begin - ShowMessage('Zero variance found for a variable-terminating'); - goto cleanup; - end; + // identify variables selected for left and right variables + for i := 0 to a_size - 1 do // identify left variables + begin + cellstring := LeftList.Items.Strings[i]; + for j := 1 to NoVariables do + begin + gridstring := OS3MainFrm.DataGrid.Cells[j,0]; + if (cellstring = gridstring) then + begin + a_vars[i] := j; + RowLabels[i] := gridstring; + end; + end; + end; - //partition matrix into quadrants - for i := 1 to a_size do - for j := 1 to a_size do raa[i-1,j-1]:= bigmat[i-1,j-1]; + // identify left variables + for i := 0 to b_size - 1 do + begin + cellstring := RightList.Items.Strings[i]; + for j := 1 to NoVariables do + begin + gridstring := OS3MainFrm.DataGrid.Cells[j,0]; + if (cellstring = gridstring) then + begin + b_vars[i] := j; + ColLabels[i] := gridstring; + end; + end; + end; - for i := a_size + 1 to novars do - for j := a_size + 1 to novars do - rbb[i-1-a_size,j-1-a_size] := bigmat[i-1,j-1]; + // build list of all variables selected + for i := 1 to a_size do + selected[i-1] := a_vars[i-1]; + for i := 1 to b_size do + selected[i-1 + a_size] := b_vars[i-1]; - for i := 1 to a_size do - for j := a_size + 1 to novars do - rab[i-1,j-1-a_size] := bigmat[i-1,j-1]; + lReport := TStringList.Create; + try + lReport.Add('CANONICAL CORRELATION ANALYSIS'); + lReport.Add(''); - for i := a_size + 1 to novars do - for j := 1 to a_size do - rba[i-1-a_size,j-1] := bigmat[i-1,j-1]; + // Get means, standard deviations, etc. for total matrix + Correlations(novars,selected,bigmat,mean,variance,stddev,errorcode,Ncases); + count := Ncases; + if (IER = 1)then + begin + MessageDlg('Zero variance found for a variable-terminating', mtError, [mbOK], 0); + exit; + end; - if CorsChk.Checked then - begin - title := 'Left Correlation Matrix'; - MAT_PRINT(raa,a_size,a_size,title,RowLabels,RowLabels,NCases); - title := 'Right Correlation Matrix'; - MAT_PRINT(rbb,b_size,b_size,title,ColLabels,ColLabels,NCases); - title := 'Left-Right Correlation Matrix'; - MAT_PRINT(rab,a_size,b_size,title,RowLabels,ColLabels,NCases); - OutputFrm.ShowModal; - OutputFrm.RichEdit.Clear; - end; + //partition matrix into quadrants + for i := 1 to a_size do + for j := 1 to a_size do raa[i-1,j-1]:= bigmat[i-1,j-1]; - // get inverses of left and right hand matrices raa and rbb - for i := 1 to a_size do - for j := 1 to a_size do - raainv[i-1,j-1] := raa[i-1,j-1]; - SVDinverse(raainv,a_size); - if InvChk.Checked then - begin - title := 'Inverse of Left Matrix'; - MAT_PRINT(raainv,a_size,a_size,title,RowLabels,RowLabels,NCases); - end; + for i := a_size + 1 to novars do + for j := a_size + 1 to novars do + rbb[i-1-a_size,j-1-a_size] := bigmat[i-1,j-1]; - for i := 1 to b_size do - for j := 1 to b_size do - rbbinv[i-1,j-1] := rbb[i-1,j-1]; - SVDinverse(rbbinv,b_size); - if InvChk.Checked then - begin - title := 'Inverse of Right Matrix'; - MAT_PRINT(rbbinv,b_size,b_size,title,ColLabels,ColLabels,NCases); - end; + for i := 1 to a_size do + for j := a_size + 1 to novars do + rab[i-1,j-1-a_size] := bigmat[i-1,j-1]; - // get products of raainv x rab and the rbbinv x rba matrix - MatAxB(first_prod,rbbinv,rba,b_size,b_size,b_size,a_size,errorcode); - MatAxB(second_prod,raainv,rab,a_size,a_size,a_size,b_size,errorcode); - title := 'Right Inverse x Right-Left Matrix'; - MAT_PRINT(first_prod,b_size,a_size,title,ColLabels,RowLabels,NCases); - title := 'Left Inverse x Left-Right Matrix'; - MAT_PRINT(second_prod,a_size,b_size,title,RowLabels,ColLabels,NCases); + for i := a_size + 1 to novars do + for j := 1 to a_size do + rba[i-1-a_size,j-1] := bigmat[i-1,j-1]; - //get characteristic equations matrix (product of last two product matrices - //The product should yeild rows and cols representing the smaller of the two sets - MatAxB(char_equation,first_prod,second_prod,b_size,a_size, a_size,b_size,errorcode); - title := 'Canonical Function'; - MAT_PRINT(char_equation,b_size,b_size,title,CanLabels,CanLabels,NCases); - OutputFrm.ShowModal; - OutputFrm.RichEdit.Clear; + if CorsChk.Checked then + begin + title := 'Left Correlation Matrix'; + MatPrint(raa, a_size, a_size, title, RowLabels, RowLabels, NCases, lReport); + title := 'Right Correlation Matrix'; + MatPrint(rbb, b_size, b_size, title, ColLabels, ColLabels, NCases, lReport); + title := 'Left-Right Correlation Matrix'; + MatPrint(rab, a_size, b_size, title, RowLabels, ColLabels, NCases, lReport); + lReport.Add(''); + lReport.Add(SEPARATOR); + lReport.Add(''); + end; - // now get roots and vectors of the characteristic equation using - // NonSymRoots routine - minroot := 0.0; - for i := 1 to b_size do - begin - roots[i-1] := 0.0; - pcnt_trace[i-1] := 0.0; - for j := 1 to b_size do eigenvectors[i-1,j-1] := 0.0; - end; - trace := 0.0; - no_factors := b_size; - nonsymroots(char_equation, b_size, no_factors, minroot, eigenvectors, roots, + // get inverses of left and right hand matrices raa and rbb + for i := 1 to a_size do + for j := 1 to a_size do + raainv[i-1,j-1] := raa[i-1,j-1]; + SVDinverse(raainv, a_size); + if InvChk.Checked then + begin + title := 'Inverse of Left Matrix'; + MatPrint(raainv, a_size, a_size, title, RowLabels, RowLabels, NCases, lReport); + end; + + for i := 1 to b_size do + for j := 1 to b_size do + rbbinv[i-1,j-1] := rbb[i-1,j-1]; + SVDinverse(rbbinv,b_size); + if InvChk.Checked then + begin + title := 'Inverse of Right Matrix'; + MatPrint(rbbinv, b_size, b_size, title, ColLabels, ColLabels, NCases, lReport); + end; + + // get products of raainv x rab and the rbbinv x rba matrix + MatAxB(first_prod,rbbinv,rba,b_size,b_size,b_size,a_size,errorcode); + MatAxB(second_prod,raainv,rab,a_size,a_size,a_size,b_size,errorcode); + title := 'Right Inverse x Right-Left Matrix'; + MatPrint(first_prod, b_size, a_size, title, ColLabels, RowLabels, NCases, lReport); + title := 'Left Inverse x Left-Right Matrix'; + MatPrint(second_prod, a_size, b_size, title, RowLabels, ColLabels, NCases, lReport); + + //get characteristic equations matrix (product of last two product matrices + //The product should yeild rows and cols representing the smaller of the two sets + MatAxB(char_equation,first_prod,second_prod,b_size,a_size, a_size,b_size,errorcode); + title := 'Canonical Function'; + MatPrint(char_equation, b_size, b_size, title, CanLabels, CanLabels, NCases, lReport); + + lReport.Add(''); + lReport.Add(SEPARATOR); + lReport.Add(''); + + // now get roots and vectors of the characteristic equation using + // NonSymRoots routine + minroot := 0.0; + for i := 1 to b_size do + begin + roots[i-1] := 0.0; + pcnt_trace[i-1] := 0.0; + for j := 1 to b_size do eigenvectors[i-1,j-1] := 0.0; + end; + trace := 0.0; + no_factors := b_size; + nonsymroots(char_equation, b_size, no_factors, minroot, eigenvectors, roots, pcnt_trace, trace, pcnt_extracted); - outline := format('Trace of the matrix:=%10.4f',[trace]); - OutputFrm.RichEdit.Lines.Add(outline); - outline := format('Percent of trace extracted: %10.4f',[pcnt_extracted]); - OutputFrm.RichEdit.Lines.Add(outline); + lReport.Add('Trace of the matrix: %10.4f', [trace]); + lReport.Add('Percent of trace extracted: %10.4f', [pcnt_extracted]); - // Normalize smaller set weights and coumpute larger set weights - MATTRN(eigentrans,eigenvectors,b_size,b_size); - MatAxB(tempmat,eigentrans,rbb,b_size,b_size,b_size,b_size,errorcode); - MatAxB(theta,tempmat,eigenvectors,b_size,b_size,b_size,b_size,errorcode); - for j := 1 to b_size do - begin - q := 1.0 / sqrt(theta[j-1,j-1]); - for i := 1 to b_size do - begin - norm_b[i-1,j-1] := eigenvectors[i-1,j-1] * q; - raw_b[i-1,j-1] := norm_b[i-1,j-1] / stddev[a_size+i-1]; - end; - end; - MatAxB(norm_a,second_prod,norm_b,a_size,b_size,b_size,b_size,errorcode); - for j := 1 to b_size do - begin - for i := 1 to a_size do - begin - norm_a[i-1,j-1] := norm_a[i-1,j-1] * (1.0 / sqrt(roots[j-1])); - raw_a[i-1,j-1] := norm_a[i-1,j-1] / stddev[i-1]; - end; - end; + // Normalize smaller set weights and coumpute larger set weights + MatTrn(eigentrans, eigenvectors, b_size, b_size); + MatAxB(tempmat,eigentrans,rbb,b_size,b_size,b_size,b_size,errorcode); + MatAxB(theta,tempmat,eigenvectors,b_size,b_size,b_size,b_size,errorcode); + for j := 1 to b_size do + begin + q := 1.0 / sqrt(theta[j-1,j-1]); + for i := 1 to b_size do + begin + norm_b[i-1,j-1] := eigenvectors[i-1,j-1] * q; + raw_b[i-1,j-1] := norm_b[i-1,j-1] / stddev[a_size+i-1]; + end; + end; + MatAxB(norm_a,second_prod,norm_b,a_size,b_size,b_size,b_size,errorcode); + for j := 1 to b_size do + begin + for i := 1 to a_size do + begin + norm_a[i-1,j-1] := norm_a[i-1,j-1] * (1.0 / sqrt(roots[j-1])); + raw_a[i-1,j-1] := norm_a[i-1,j-1] / stddev[i-1]; + end; + end; - // Compute the correlations between variables and canonical variables - MatAxB(a_cors,raa,norm_a,a_size,a_size,a_size,b_size,errorcode); - for j := 1 to b_size do - begin - q := 0.0; - for i := 1 to a_size do q := q + norm_a[i-1,j-1] * a_cors[i-1,j-1]; - q := 1.0 / sqrt(q); - for i := 1 to a_size do a_cors[i-1,j-1] := a_cors[i-1,j-1] * q; - end; - MatAxB(b_cors,rbb,norm_b,b_size,b_size,b_size,b_size,errorcode); - for j := 1 to b_size do - begin - q := 0.0; - for i := 1 to b_size do q := q + norm_b[i-1,j-1] * b_cors[i-1,j-1]; - q := 1.0 / sqrt(q); - for i := 1 to b_size do b_cors[i-1,j-1] := b_cors[i-1,j-1] * q; - end; + // Compute the correlations between variables and canonical variables + MatAxB(a_cors,raa,norm_a,a_size,a_size,a_size,b_size,errorcode); + for j := 1 to b_size do + begin + q := 0.0; + for i := 1 to a_size do q := q + norm_a[i-1,j-1] * a_cors[i-1,j-1]; + q := 1.0 / sqrt(q); + for i := 1 to a_size do a_cors[i-1,j-1] := a_cors[i-1,j-1] * q; + end; + MatAxB(b_cors,rbb,norm_b,b_size,b_size,b_size,b_size,errorcode); + for j := 1 to b_size do + begin + q := 0.0; + for i := 1 to b_size do q := q + norm_b[i-1,j-1] * b_cors[i-1,j-1]; + q := 1.0 / sqrt(q); + for i := 1 to b_size do b_cors[i-1,j-1] := b_cors[i-1,j-1] * q; + end; - // Compute the Proportions of Variance (PVs) and Redundancy Coefficients - for j := 1 to b_size do - begin - pv_a[j-1] := 0.0; - for i := 1 to a_size do pv_a[j-1] := pv_a[j-1] + (a_cors[i-1,j-1] * a_cors[i-1,j-1]); - pv_a[j-1] := pv_a[j-1] / a_size; - rd_a[j-1] := pv_a[j-1] * roots[j-1]; - end; - for j := 1 to b_size do - begin - pv_b[j-1] := 0.0; - for i := 1 to b_size do pv_b[j-1] := pv_b[j-1] + (b_cors[i-1,j-1] * b_cors[i-1,j-1]); - pv_b[j-1] := pv_b[j-1] / b_size; - rd_b[j-1] := pv_b[j-1] * roots[j-1]; - end; + // Compute the Proportions of Variance (PVs) and Redundancy Coefficients + for j := 1 to b_size do + begin + pv_a[j-1] := 0.0; + for i := 1 to a_size do pv_a[j-1] := pv_a[j-1] + (a_cors[i-1,j-1] * a_cors[i-1,j-1]); + pv_a[j-1] := pv_a[j-1] / a_size; + rd_a[j-1] := pv_a[j-1] * roots[j-1]; + end; + for j := 1 to b_size do + begin + pv_b[j-1] := 0.0; + for i := 1 to b_size do pv_b[j-1] := pv_b[j-1] + (b_cors[i-1,j-1] * b_cors[i-1,j-1]); + pv_b[j-1] := pv_b[j-1] / b_size; + rd_b[j-1] := pv_b[j-1] * roots[j-1]; + end; - // Compute tests of the roots - q := a_size + b_size + 1; - q := -(count - 1.0 - (q / 2.0)); - k := 0; - for i := 1 to b_size do - begin - w := 1.0; - for j := i to b_size do w := w * (1.0 - roots[j-1]); - root_chi[i-1] := q * ln(w); - root_df[i-1] := (a_size - i + 1) * (b_size - i + 1); - chi_prob[i-1] := 1.0 - chisquaredprob(root_chi[i-1],root_df[i-1]); - if (chi_prob[i-1] < critical_prob) then k := k + 1; - end; - Roys := roots[0] / (1.0 - roots[0]); - Lambda := 1.0; - for i := 1 to b_size do - begin - Hroot := roots[i-1] / (1.0 - roots[i-1]); - Lambda := Lambda * (1.0 / (1.0 + Hroot)); - Pillia := Pillia + (Hroot / (1.0 + Hroot)); - HLTrace := HLTrace + Hroot; - end; + // Compute tests of the roots + q := a_size + b_size + 1; + q := -(count - 1.0 - (q / 2.0)); + k := 0; + for i := 1 to b_size do + begin + w := 1.0; + for j := i to b_size do w := w * (1.0 - roots[j-1]); + root_chi[i-1] := q * ln(w); + root_df[i-1] := (a_size - i + 1) * (b_size - i + 1); + chi_prob[i-1] := 1.0 - chisquaredprob(root_chi[i-1],root_df[i-1]); + if (chi_prob[i-1] < critical_prob) then k := k + 1; + end; + Roys := roots[0] / (1.0 - roots[0]); + Lambda := 1.0; + for i := 1 to b_size do + begin + Hroot := roots[i-1] / (1.0 - roots[i-1]); + Lambda := Lambda * (1.0 / (1.0 + Hroot)); + Pillia := Pillia + (Hroot / (1.0 + Hroot)); + HLTrace := HLTrace + Hroot; + end; - // Print remaining results - OutputFrm.RichEdit.Lines.Add(''); - OutputFrm.RichEdit.Lines.Add(''); - outline := ' Canonical R Root % Trace Chi-Sqr D.F. Prob.'; - OutputFrm.RichEdit.Lines.Add(outline); - for i := 1 to b_size do - begin - outline := format('%2d %10.6f %8.3f %7.3f %8.3f %2d %8.3f', - [i, sqrt(roots[i-1]), roots[i-1], pcnt_trace[i-1], root_chi[i-1], root_df[i-1], chi_prob[i-1]]); - OutputFrm.RichEdit.Lines.Add(outline); - end; - chisqr := -ln(Lambda) * (count - 1.0 - 0.5 * (a_size + b_size - 1.0)); - chiprob := 1.0 - chisquaredprob(chisqr,a_size * b_size); - OutputFrm.RichEdit.Lines.Add(''); - OutputFrm.RichEdit.Lines.Add('Overall Tests of Significance:'); - OutputFrm.RichEdit.Lines.Add(' Statistic Approx. Stat. Value D.F. Prob.>Value'); - outline := format('Wilk''s Lambda Chi-Squared %10.4f %3d %6.4f', - [chisqr,a_size * b_size,chiprob]); - OutputFrm.RichEdit.Lines.Add(outline); - s := b_size; - m := 0.5 * (a_size - b_size - 1); - n := 0.5 * (count - b_size - a_size - 2); - f := (HLTrace * 2.0 * (s * n + 1)) / (s * s * (2.0 * m + s + 1.0)); - df1 := s * (2.0 * m + s + 1.0); - df2 := 2.0 * ( s * n + 1.0); - ftestprob := probf(f,df1,df2); - outline := format('Hotelling-Lawley Trace F-Test %10.4f %2.0f %2.0f %6.4f', - [f, df1,df2, ftestprob]); - OutputFrm.RichEdit.Lines.Add(outline); - df2 := s * (2.0 * n + s + 1.0); - f := (Pillia / (s - Pillia)) * ( (2.0 * n + s +1.0) / (2.0 * m + s + 1.0) ); - ftestprob := probf(f,df1,df2); - outline := format('Pillai Trace F-Test %10.4f %2.0f %2.0f %6.4f', - [f, df1,df2, ftestprob]); - OutputFrm.RichEdit.Lines.Add(outline); - Roys := Roys * (count - 1 - a_size + b_size)/ a_size ; - df1 := a_size; - df2 := count - 1 - a_size + b_size; - ftestprob := probf(Roys,df1,df2); - outline := format('Roys Largest Root F-Test %10.4f %2.0f %2.0f %6.4f', - [Roys, df1, df2, ftestprob]); - OutputFrm.RichEdit.Lines.Add(outline); - OutputFrm.ShowModal; - OutputFrm.RichEdit.Clear; + // Print remaining results + lReport.Add(' Canonical R Root % Trace Chi-Sqr D.F. Prob. '); + lReport.Add('-- ----------- -------- --------- --------- ---- --------'); + for i := 1 to b_size do + lReport.Add('%2d %11.6f %8.3f %9.3f %9.3f %4d %8.3f', + [i, sqrt(roots[i-1]), roots[i-1], pcnt_trace[i-1], root_chi[i-1], root_df[i-1], chi_prob[i-1]] + ); + chisqr := -ln(Lambda) * (count - 1.0 - 0.5 * (a_size + b_size - 1.0)); + chiprob := 1.0 - chisquaredprob(chisqr,a_size * b_size); + lReport.Add(''); + lReport.Add('Overall Tests of Significance:'); + lReport.Add(''); + lReport.Add(' Statistic Approx. Stat. Value D.F. Prob > Value'); + lReport.Add('------------------------- -------------- ---------- ----- ------------'); + lReport.Add('Wilk''s Lambda Chi-Squared %10.4f %3d %12.4f', [chisqr, a_size * b_size, chiprob]); - if EigenChk.Checked then - begin - title := 'Eigenvectors'; - MAT_PRINT(eigenvectors,b_size,b_size,title,CanLabels,CanLabels,NCases); - OutputFrm.ShowModal(); - OutputFrm.RichEdit.Clear; - end; + s := b_size; + m := 0.5 * (a_size - b_size - 1); + n := 0.5 * (count - b_size - a_size - 2); + f := (HLTrace * 2.0 * (s * n + 1)) / (s * s * (2.0 * m + s + 1.0)); + df1 := s * (2.0 * m + s + 1.0); + df2 := 2.0 * ( s * n + 1.0); + ftestprob := probf(f,df1,df2); + lReport.Add('Hotelling-Lawley Trace F-Test %10.4f %2.0f %2.0f %12.4f', [f, df1,df2, ftestprob]); - title := 'Standardized Right Side Weights'; - MAT_PRINT(norm_a,a_size,b_size,title,RowLabels,CanLabels,NCases); - title := 'Standardized Left Side Weights'; - MAT_PRINT(norm_b,b_size,b_size,title,ColLabels,CanLabels,NCases); - OutputFrm.ShowModal; - OutputFrm.RichEdit.Clear; - title := 'Raw Right Side Weights'; - MAT_PRINT(raw_a,a_size,b_size,title,RowLabels,CanLabels,NCases); - title := 'Raw Left Side Weights'; - MAT_PRINT(raw_b,b_size,b_size,title,ColLabels,CanLabels,NCases); - OutputFrm.ShowModal; - OutputFrm.RichEdit.Clear; - title := 'Right Side Correlations with Function'; - MAT_PRINT(a_cors,a_size,b_size,title,RowLabels,CanLabels,NCases); - title := 'Left Side Correlations with Function'; - MAT_PRINT(b_cors,b_size,b_size,title,ColLabels,CanLabels,NCases); - OutputFrm.ShowModal; - OutputFrm.RichEdit.Clear; + df2 := s * (2.0 * n + s + 1.0); + f := (Pillia / (s - Pillia)) * ( (2.0 * n + s +1.0) / (2.0 * m + s + 1.0) ); + ftestprob := probf(f,df1,df2); + lReport.Add('Pillai Trace F-Test %10.4f %2.0f %2.0f %12.4f', [f, df1,df2, ftestprob]); - if RedundChk.Checked then - begin - outline := 'Redundancy Analysis for Right Side Variables'; - OutputFrm.RichEdit.Lines.Add(outline); - OutputFrm.RichEdit.Lines.Add(''); - outline := ' Variance Prop. Redundancy'; - OutputFrm.RichEdit.Lines.Add(outline); - for i := 1 to b_size do - begin - outline := format('%10d %10.5f %10.5f',[i,pv_a[i-1],rd_a[i-1]]); - OutputFrm.RichEdit.Lines.Add(outline); - end; - OutputFrm.RichEdit.Lines.Add(''); - outline := 'Redundancy Analysis for Left Side Variables'; - OutputFrm.RichEdit.Lines.Add(outline); - outline := ' Variance Prop. Redundancy'; - OutputFrm.RichEdit.Lines.Add(outline); - for i := 1 to b_size do - begin - outline := format('%10d %10.5f %10.5f',[i,pv_b[i-1],rd_b[i-1]]); - OutputFrm.RichEdit.Lines.Add(outline); - end; - OutputFrm.ShowModal; - OutputFrm.RichEdit.Clear; - end; + Roys := Roys * (count - 1 - a_size + b_size)/ a_size ; + df1 := a_size; + df2 := count - 1 - a_size + b_size; + ftestprob := probf(Roys,df1,df2); + lReport.Add('Roys Largest Root F-Test %10.4f %2.0f %2.0f %12.4f', [Roys, df1, df2, ftestprob]); - //------------- Now, clean up memory mess ---------------------------- -cleanup: + lReport.Add(''); + lReport.Add(SEPARATOR); + lReport.Add(''); + + if EigenChk.Checked then + begin + title := 'Eigenvectors'; + MatPrint(eigenvectors, b_size, b_size, title, CanLabels, CanLabels, NCases, lReport); + lReport.Add(''); + lReport.Add(SEPARATOR); + lReport.Add(''); + end; + + title := 'Standardized Right Side Weights'; + MatPrint(norm_a, a_size, b_size, title, RowLabels, CanLabels, NCases, lReport); + + title := 'Standardized Left Side Weights'; + MatPrint(norm_b, b_size, b_size, title, ColLabels, CanLabels, NCases, lReport); + + lReport.Add(''); + lReport.Add(SEPARATOR); + lReport.Add(''); + + title := 'Raw Right Side Weights'; + MatPrint(raw_a, a_size, b_size, title, RowLabels, CanLabels, NCases, lReport); + + title := 'Raw Left Side Weights'; + MatPrint(raw_b, b_size, b_size, title, ColLabels, CanLabels, NCases, lReport); + + lReport.Add(''); + lReport.Add(SEPARATOR); + lReport.Add(''); + + title := 'Right Side Correlations with Function'; + MatPrint(a_cors, a_size, b_size, title, RowLabels, CanLabels, NCases, lReport); + + title := 'Left Side Correlations with Function'; + MatPrint(b_cors, b_size, b_size, title, ColLabels, CanLabels, NCases, lReport); + + lReport.Add(''); + lReport.Add(SEPARATOR); + lReport.Add(''); + + if RedundChk.Checked then + begin + lReport.Add('Redundancy Analysis for Right Side Variables'); + lReport.Add(''); + lReport.Add(' Variance Prop. Redundancy '); + lReport.Add('---------- --------------- ---------------'); + for i := 1 to b_size do + lReport.Add('%8d %15.5f %12.5f', [i, pv_a[i-1], rd_a[i-1]]); + lReport.Add(''); + + lReport.Add('Redundancy Analysis for Left Side Variables'); + lReport.Add(''); + lReport.Add(' Variance Prop. Redundancy '); + lReport.Add('---------- --------------- ------------'); + for i := 1 to b_size do + lReport.Add('%8d %15.5f %12.5f', [i, pv_b[i-1], rd_b[i-1]]); + + lReport.Add(''); + lReport.Add(SEPARATOR); + lReport.Add(''); + end; + + DisplayReport(lReport); + + finally + lReport.Free; Selected := nil; ColLabels := nil; RowLabels := nil; @@ -580,38 +609,59 @@ cleanup: rab := nil; rbb := nil; raa := nil; + end; end; procedure TCannonFrm.LeftInClick(Sender: TObject); -VAR i, index : integer; +var + i: integer; begin - index := VarList.Items.Count; - i := 0; - while i < index do - begin - if (VarList.Selected[i]) then - begin - LeftList.Items.Add(VarList.Items.Strings[i]); - VarList.Items.Delete(i); - index := index - 1; - i := 0; - end - else i := i + 1; - end; - LeftOut.Enabled := true; + i := 0; + while i < VarList.Items.Count do + begin + if VarList.Selected[i] then + begin + LeftList.Items.Add(VarList.Items[i]); + VarList.Items.Delete(i); + i := 0; + end else + i := i + 1; + end; + UpdateBtnStates; end; procedure TCannonFrm.LeftOutClick(Sender: TObject); -VAR index : integer; +var + i: integer; begin - index := LeftList.ItemIndex; - if index < 0 then - begin - LeftOut.Enabled := false; - exit; - end; - VarList.Items.Add(LeftList.Items.Strings[index]); - LeftList.Items.Delete(index); + i := 0; + while i < LeftList.Items.Count do + begin + if LeftList.Selected[i] then + begin + VarList.Items.Add(LeftList.Items[i]); + LeftList.Items.Delete(i); + i := 0; + end else + i := i + 1; + end; + UpdateBtnStates; +end; + +procedure TCannonFrm.VarListSelectionChange(Sender: TObject; User: boolean); +begin + UpdateBtnStates; +end; + +procedure TCannonFrm.UpdateBtnStates; +var + lSelected: Boolean; +begin + lSelected := AnySelected(Varlist); + LeftIn.Enabled := lSelected; + RightIn.Enabled := lSelected; + LeftOut.Enabled := AnySelected(LeftList); + RightOut.Enabled := AnySelected(RightList); end; initialization

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