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lazarus-ccr/applications/lazstats/source_orig/simultregunit.pas

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unit SimultRegUnit;
{$mode objfpc}{$H+}
interface
uses
Classes, SysUtils, FileUtil, LResources, Forms, Controls, Graphics, Dialogs,
StdCtrls, Buttons, Globals, MainUnit, MatrixLib, OutPutUnit,
FunctionsLib, DataProcs;
type
{ TSimultFrm }
TSimultFrm = class(TForm)
OpenDialog1: TOpenDialog;
ResetBtn: TButton;
CancelBtn: TButton;
ComputeBtn: TButton;
ReturnBtn: TButton;
MatInChkBox: TCheckBox;
MatSaveChkBox: TCheckBox;
CPChkBox: TCheckBox;
CovChkBox: TCheckBox;
CorrsChkBox: TCheckBox;
MeansChkBox: TCheckBox;
SaveDialog1: TSaveDialog;
VarChkBox: TCheckBox;
SDChkBox: TCheckBox;
InvMatChkBox: TCheckBox;
GroupBox1: TGroupBox;
InBtn: TBitBtn;
OutBtn: TBitBtn;
AllBtn: TBitBtn;
Label1: TLabel;
Label2: TLabel;
ListBox1: TListBox;
VarList: TListBox;
procedure AllBtnClick(Sender: TObject);
procedure ComputeBtnClick(Sender: TObject);
procedure FormShow(Sender: TObject);
procedure InBtnClick(Sender: TObject);
procedure OutBtnClick(Sender: TObject);
procedure ResetBtnClick(Sender: TObject);
private
{ private declarations }
public
{ public declarations }
end;
var
SimultFrm: TSimultFrm;
implementation
{ TSimultFrm }
procedure TSimultFrm.ResetBtnClick(Sender: TObject);
VAR i : integer;
begin
VarList.Clear;
ListBox1.Clear;
for i := 1 to NoVariables do
begin
VarList.Items.Add(OS3MainFrm.DataGrid.Cells[i,0]);
end;
InBtn.Enabled := true;
OutBtn.Enabled := false;
CPChkBox.Checked := false;
CovChkBox.Checked := false;
CorrsChkBox.Checked := true;
MeansChkBox.Checked := true;
VarChkBox.Checked := false;
SDChkBox.Checked := true;
MatInChkBox.Checked := false;
MatSaveChkBox.Checked := false;
end;
procedure TSimultFrm.FormShow(Sender: TObject);
begin
ResetBtnClick(Self);
end;
procedure TSimultFrm.AllBtnClick(Sender: TObject);
VAR count, index : integer;
begin
count := VarList.Items.Count;
for index := 0 to count-1 do
begin
ListBox1.Items.Add(VarList.Items.Strings[index]);
end;
VarList.Clear;
end;
procedure TSimultFrm.ComputeBtnClick(Sender: TObject);
Label CleanUp;
VAR
NoVars, i, j, NCases, errcode, mattype : integer;
StdErr, df1, df2, x, determinant : double;
errorcode : boolean;
filename : string;
cellstring, outline, valstring : string;
Corrs : DblDyneMat;
Means : DblDyneVec;
Variances : DblDyneVec;
StdDevs : DblDyneVec;
ColNoSelected : IntDyneVec;
title : string;
RowLabels : StrDyneVec;
ColLabels : StrDyneVec;
InverseMat : DblDyneMat;
R2s : DblDyneVec;
W : DblDyneVec;
ProdMat : DblDyneMat;
FProbs : DblDyneVec;
CorrMat : DblDyneMat;
begin
SetLength(Corrs,NoVariables+1,NoVariables+1);
SetLength(Means,NoVariables);
SetLength(Variances,NoVariables);
SetLength(StdDevs,NoVariables);
SetLength(RowLabels,NoVariables);
SetLength(ColLabels,NoVariables);
SetLength(InverseMat,NoVariables,NoVariables);
SetLength(R2s,NoVariables);
SetLength(W,NoVariables);
SetLength(ProdMat,NoVariables+1,NoVariables+1);
SetLength(Fprobs,NoVariables);
SetLength(CorrMat,NoVariables+1,NoVariables+1);
SetLength(ColNoSelected,NoVariables);
OutPutFrm.RichEdit.Clear;
// OutPutFrm.RichEdit.ParaGraph.Alignment := taLeftJustify;
OutPutFrm.RichEdit.Lines.Add('Simultaneous Multiple Regression by Bill Miller');
errcode := 0;
if MatInChkBox.Checked = true then
begin
OpenDialog1.Filter := 'FreeStat matrix files (*.MAT)|*.MAT|All files (*.*)|*.*';
OpenDialog1.FilterIndex := 1;
if OpenDialog1.Execute then
begin
filename := OpenDialog1.FileName;
MATREAD(Corrs,NoVars,NoVars,Means,StdDevs,NCases,RowLabels,ColLabels,filename);
for i := 1 to NoVars do Variances[i-1] := sqr(StdDevs[i-1]);
ShowMessage('NOTICE! Last variable in matrix is the dependent variable');
end;
end;
if MatInChkBox.Checked = false then
begin
{ get variable columns }
NoVars := ListBox1.Items.Count;
if NoVars < 1 then
begin
ShowMessage('ERROR! No variables selected.');
goto CleanUp;
end;
for i := 1 to NoVars do
begin
cellstring := ListBox1.Items.Strings[i-1];
for j := 1 to NoVariables do
begin
if cellstring = OS3MainFrm.DataGrid.Cells[j,0] then
begin
ColNoSelected[i-1] := j;
RowLabels[i-1] := cellstring;
ColLabels[i-1] := cellstring;
end;
end;
end;
end;
if CPChkBox.Checked = true then
begin
title := 'Cross-Products Matrix';
GridXProd(NoVars,ColNoSelected,Corrs,errorcode,NCases);
MAT_PRINT(Corrs,NoVars,NoVars,title,RowLabels,ColLabels,NCases);
end;
if CovChkBox.Checked = true then
begin
title := 'Variance-Covariance Matrix';
GridCovar(NoVars,ColNoSelected,Corrs,Means,Variances,
StdDevs,errorcode,NCases);
MAT_PRINT(Corrs,NoVars,NoVars,title,RowLabels,ColLabels,NCases);
end;
Correlations(NoVars,ColNoSelected,Corrs,Means,Variances,
StdDevs,errorcode,NCases);
if CorrsChkBox.Checked = true then
for i := 1 to NoVars do
for j := 1 to NoVars do InverseMat[i-1,j-1] := Corrs[i-1,j-1];
begin
title := 'Product-Moment Correlations Matrix';
MAT_PRINT(Corrs,NoVars,NoVars,title,RowLabels,ColLabels,NCases);
end;
if MatSaveChkBox.Checked = true then
begin
SaveDialog1.Filter := 'OpenStat matrix files (*.MAT)|*.MAT|All files (*.*)|*.*';
SaveDialog1.FilterIndex := 1;
if SaveDialog1.Execute then
begin
filename := SaveDialog1.FileName;
MATSAVE(Corrs,NoVars,NoVars,Means,StdDevs,NCases,RowLabels,ColLabels,filename);
end;
end;
title := 'Means';
if MeansChkBox.Checked = true then
DynVectorPrint(Means,NoVars,title,ColLabels,NCases);
title := 'Variances';
if VarChkBox.Checked = true then
DynVectorPrint(Variances,NoVars,title,ColLabels,NCases);
title := 'Standard Deviations';
if SDChkBox.Checked = true then
DynVectorPrint(StdDevs,NoVars,title,ColLabels,NCases);
if errcode > 0 then
begin
OutPutFrm.RichEdit.Lines.Add('One or more correlations could not be computed due to zero variance of a variable.');
end;
if errcode > 0 then
begin
ShowMessage('ERROR! A selected variable has no variability-run aborted.');
goto CleanUp;
end;
determinant := 0.0;
for i := 1 to NoVars do
for j := 1 to NoVars do
CorrMat[i-1,j-1] := Corrs[i-1,j-1];
Determ(CorrMat,NoVars,NoVars,determinant,errorcode);
if (determinant < 0.000001) then
begin
ShowMessage('ERROR! Matrix is singular!');
goto cleanup;
end;
outline := format('Determinant of correlation matrix = %8.4f',[determinant]);
OutPutFrm.RichEdit.Lines.Add(outline);
OutPutFrm.RichEdit.Lines.Add('');
SVDinverse(InverseMat,NoVars);
title := 'Inverse of correlation matrix';
if (InvMatChkBox.Checked = true) then
MAT_PRINT(InverseMat,NoVars,NoVars,title,RowLabels,ColLabels,NCases);
OutPutFrm.RichEdit.Lines.Add('Multiple Correlation Coefficients for Each Variable');
OutPutFrm.RichEdit.Lines.Add('');
outline := format('%10s%8s%10s%10s%12s%5s%5s',['Variable','R','R2','F','Prob.>F','DF1','DF2']);
OutPutFrm.RichEdit.Lines.Add(outline);
df1 := NoVars - 1.0;
df2 := NCases - NoVars;
for i := 1 to NoVars do
begin // R squared values
R2s[i-1] := 1.0 - (1.0 / InverseMat[i-1,i-1]);
W[i-1] := (R2s[i-1] / df1) / ((1.0-R2s[i-1]) / df2);
FProbs[i-1] := probf(W[i-1],df1,df2);
valstring := format('%10s',[ColLabels[i-1]]);
outline := format('%10s%10.3f%10.3f%10.3f%10.3f%5.0f%5.0f',
[valstring,sqrt(R2s[i-1]),R2s[i-1],W[i-1],FProbs[i-1],df1,df2]);
OutPutFrm.RichEdit.Lines.Add(outline);
for j := 1 to NoVars do
begin // betas
ProdMat[i-1,j-1] := -InverseMat[i-1,j-1] / InverseMat[j-1,j-1];
end;
end;
title := 'Betas in Columns';
MAT_PRINT(ProdMat,NoVars,NoVars,title,RowLabels,ColLabels,NCases);
OutPutFrm.RichEdit.Lines.Add('Standard Errors of Prediction');
OutPutFrm.RichEdit.Lines.Add('Variable Std.Error');
for i := 1 to NoVars do
begin
StdErr := (NCases-1) * Variances[i-1] * (1.0 / InverseMat[i-1,i-1]);
StdErr := sqrt(StdErr / (NCases - NoVars));
valstring := format('%10s',[ColLabels[i-1]]);
outline := format('%10s%10.3f',[valstring,StdErr]);
OutPutFrm.RichEdit.Lines.Add(outline);
end;
for i := 1 to NoVars do
for j := 1 to NoVars do
if (i <> j) then ProdMat[i-1,j-1] := ProdMat[i-1,j-1] * (StdDevs[j-1]/StdDevs[i-1]);
title := 'Raw Regression Coefficients';
MAT_PRINT(ProdMat,NoVars,NoVars,title,RowLabels,ColLabels,NCases);
OutPutFrm.RichEdit.Lines.Add('Variable Constant');
for i := 1 to NoVars do
begin
x := 0.0;
for j := 1 to NoVars do
begin
if (i <> j) then x := x + (ProdMat[j-1,i-1] * Means[j-1]);
end;
x := Means[i-1] - x;
valstring := format('%10s',[ColLabels[i-1]]);
outline := format('%10s%10.3f',[valstring,x]);
OutPutFrm.RichEdit.Lines.Add(outline);
end;
// Get partial correlation matrix
for i := 1 to NoVars do
begin
for j := 1 to NoVars do
begin
ProdMat[i-1,j-1] := -(1.0 / sqrt(InverseMat[i-1,i-1])) *
InverseMat[i-1,j-1] * (1.0 / sqrt(InverseMat[j-1,j-1]));
end;
end;
title := 'Partial Correlations';
MAT_PRINT(ProdMat,NoVars,NoVars,title,RowLabels,ColLabels,NCases);
OutPutFrm.ShowModal;
CleanUp:
ColNoSelected := nil;
CorrMat := nil;
Fprobs := nil;
ProdMat := nil;
W := nil;
R2s := nil;
InverseMat := nil;
ColLabels := nil;
RowLabels := nil;
StdDevs := nil;
Variances := nil;
Means := nil;
corrs := nil;
end;
procedure TSimultFrm.InBtnClick(Sender: TObject);
VAR i, index : integer;
begin
index := VarList.Items.Count;
i := 0;
while i < index do
begin
if (VarList.Selected[i]) then
begin
ListBox1.Items.Add(VarList.Items.Strings[i]);
VarList.Items.Delete(i);
index := index - 1;
i := 0;
end
else i := i + 1;
end;
OutBtn.Enabled := true;
end;
procedure TSimultFrm.OutBtnClick(Sender: TObject);
VAR index : integer;
begin
index := ListBox1.ItemIndex;
VarList.Items.Add(ListBox1.Items.Strings[index]);
ListBox1.Items.Delete(index);
InBtn.Enabled := true;
end;
initialization
{$I simultregunit.lrs}
end.