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git-svn-id: https://svn.code.sf.net/p/lazarus-ccr/svn@7886 8e941d3f-bd1b-0410-a28a-d453659cc2b4
357 lines
11 KiB
ObjectPascal
357 lines
11 KiB
ObjectPascal
unit SigmaChartUnit;
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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, MainUnit, Globals, DataProcs, OutPutUnit, Buttons, FunctionsLib,
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BlankFrmUnit, contexthelpunit;
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type
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{ TSigmaChartFrm }
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TSigmaChartFrm = class(TForm)
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HelpBtn: TButton;
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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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MeasEdit: TEdit;
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GroupEdit: TEdit;
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Label1: TLabel;
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Label2: TLabel;
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Label3: TLabel;
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VarList: TListBox;
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procedure ComputeBtnClick(Sender: TObject);
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procedure FormShow(Sender: TObject);
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procedure HelpBtnClick(Sender: TObject);
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procedure ResetBtnClick(Sender: TObject);
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procedure VarListClick(Sender: TObject);
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private
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{ private declarations }
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procedure PlotMeans(VAR means : DblDyneVec;
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NoGrps : integer;
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UCL, LCL, GrandMean : double;
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TargetSpec, LowerSpec, UpperSpec : double;
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Sender: TObject);
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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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SigmaChartFrm: TSigmaChartFrm;
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implementation
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{ TSigmaChartFrm }
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procedure TSigmaChartFrm.ResetBtnClick(Sender: TObject);
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VAR i : integer;
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begin
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VarList.Clear;
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GroupEdit.Text := '';
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MeasEdit.Text := '';
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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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end;
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procedure TSigmaChartFrm.VarListClick(Sender: TObject);
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VAR index : integer;
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begin
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index := VarList.ItemIndex;
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if GroupEdit.Text = '' then GroupEdit.Text := VarList.Items.Strings[index]
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else MeasEdit.Text := VarList.Items.Strings[index];
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end;
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procedure TSigmaChartFrm.FormShow(Sender: TObject);
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begin
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ResetBtnClick(self);
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end;
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procedure TSigmaChartFrm.HelpBtnClick(Sender: TObject);
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begin
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ContextHelpForm.HelpMessage((Sender as TButton).tag);
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end;
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procedure TSigmaChartFrm.ComputeBtnClick(Sender: TObject);
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label cleanup;
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var
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i, j, GrpVar, MeasVar, mingrp, maxgrp, G, range, grpsize : integer;
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oldgrpsize : integer;
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X, UCL, LCL, Sigma, UpperSpec, LowerSpec, TargetSpec : double;
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xmin, xmax, GrandMean, GrandSD, semean, D3Value, D4Value : double;
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GrandSigma, C4, gamma, B : double;
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means, stddev, sigmas : DblDyneVec;
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count : IntDyneVec;
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cellstring, outline : string;
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sizeerror : boolean;
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const D3 : array[1..24] of double =
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(0,0,0,0,0,0.076,0.136,0.184,0.223,0.256,0.283,0.307,0.328,
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0.347,0.363,0.378,0.391,0.403,0.415,0.425,0.434,0.443,
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0.451,0.459);
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const D4 : array[1..24] of double =
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(3.267,2.574,2.282,2.114,2.004,1.924,1.864,1.816,1.777,
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1.744,1.717,1.693,1.672,1.653,1.637,1.622,1.608,1.597,
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1.585,1.575,1.566,1.557,1.548,1.541);
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begin
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GrpVar := 1;
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MeasVar := 2;
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Sigma := 3.0;
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UpperSpec := 0.0;
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LowerSpec := 0.0;
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TargetSpec := 0.0;
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grpsize := 0;
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oldgrpsize := 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 = GroupEdit.Text then GrpVar := i;
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if cellstring = MeasEdit.Text then MeasVar := i;
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end;
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mingrp := 10000;
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maxgrp := -10000;
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for i := 1 to NoCases do
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begin
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G := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[GrpVar,i])));
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if G < mingrp then mingrp := G;
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if G > maxgrp then maxgrp := G;
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end;
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range := maxgrp - mingrp + 1;
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SetLength(means,range);
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SetLength(count,range);
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SetLength(stddev,range);
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for i := 0 to range-1 do
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begin
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count[i] := 0;
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means[i] := 0.0;
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stddev[i] := 0.0;
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end;
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semean := 0.0;
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GrandMean := 0.0;
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GrandSigma := 0.0;
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sizeerror := false;
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// calculate group ranges, grand mean, group sd's, semeans
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for j := 1 to range do // groups
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begin
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xmin := 10000.0;
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xmax := -10000.0;
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for i := 1 to NoCases do
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begin
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G := round(StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[GrpVar,i])));
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G := G - mingrp + 1;
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if G = j then
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begin
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X := StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[MeasVar,i]));
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if X > xmax then xmax := X;
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if X < xmin then xmin := X;
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means[G-1] := means[G-1] + X;
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count[G-1] := count[G-1] + 1;
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stddev[G-1] := stddev[G-1] + (X * X);
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semean := semean + (X * X);
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GrandMean := GrandMean + X;
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end;
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end; // next case
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stddev[j-1] := stddev[j-1] - (means[j-1] * means[j-1] / count[j-1]);
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stddev[j-1] := stddev[j-1] / (count[j-1] - 1);
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stddev[j-1] := sqrt(stddev[j-1]);
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means[j-1] := means[j-1] / count[j-1];
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GrandSigma := GrandSigma + stddev[j-1];
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grpsize := count[j-1];
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if j = 1 then oldgrpsize := grpsize;
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if oldgrpsize <> grpsize then sizeerror := true;
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end;
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if (grpsize < 2) or (grpsize > 25) or (sizeerror) then
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begin
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ShowMessage('ERROR! Group sizes error.');
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goto cleanup;
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end;
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semean := semean - ((GrandMean * GrandMean) / NoCases);
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semean := semean / (NoCases - 1);
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semean := sqrt(semean);
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GrandSD := semean;
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semean := semean / sqrt(NoCases);
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GrandMean := GrandMean / NoCases;
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GrandSigma := GrandSigma / range;
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D3Value := D3[grpsize-1];
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D4Value := D4[grpsize-1];
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C4 := sqrt(2.0 / (grpsize - 1));
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gamma := exp(gammln(grpsize / 2.0));
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C4 := C4 * gamma;
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gamma := exp(gammln((grpsize-1) / 2.0));
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C4 := C4 / gamma;
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B := GrandSigma * sqrt(1.0 - (C4 * C4)) / C4;
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UCL := GrandSigma + (3.0 * B);
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LCL := GrandSigma - (3.0 * B);
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if (LCL < 0.0) then LCL := 0.0;
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// printed results
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OutPutFrm.RichEdit.Lines.Add('X Bar Chart Results');
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OutPutFrm.RichEdit.Lines.Add('');
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OutPutFrm.RichEdit.Lines.Add('Group Size Mean Std.Dev.');
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OutPutFrm.RichEdit.Lines.Add('_____ ____ _________ ________');
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for i := 0 to range-1 do
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begin
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outline := format(' %3d %3d %8.2f %8.2f',
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[i+1,count[i],means[i], stddev[i]]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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end;
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outline := format('Grand Mean = %8.2f, Std.Dev. = %8.3f, Standard Error of Mean = %8.2f',
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[GrandMean, GrandSD, semean]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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outline := format('Mean Sigma = %8.2f',[GrandSigma]);
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OutPutFrm.RichEdit.Lines.Add(outline);
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outline := format('Lower Control Limit = %8.3f, Upper Control Limit = %8.3f',
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[LCL, UCL]);
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OutPutfrm.RichEdit.Lines.Add(outline);
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OutPutFrm.ShowModal;
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// show graph
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PlotMeans(stddev,range,UCL,LCL,GrandSigma,TargetSpec,
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LowerSpec, UpperSpec, self);
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cleanup:
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stddev := nil;
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count := nil;
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means := nil;
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end;
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procedure TSigmaChartFrm.PlotMeans(var means: DblDyneVec; NoGrps: integer; UCL,
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LCL, GrandMean: double; TargetSpec, LowerSpec, UpperSpec: double;
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Sender: TObject);
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var
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i, xpos, ypos, hleft, hright, vtop, vbottom, imagewide : integer;
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vhi, hwide, offset, strhi : integer;
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imagehi, maxval, minval, valincr, Yvalue : double;
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Title : string;
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begin
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maxval := -10000.0;
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minval := 10000.0;
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for i := 0 to NoGrps-1 do
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begin
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if means[i] > maxval then maxval := means[i];
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if means[i] < minval then minval := means[i];
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end;
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if UCL > maxval then maxval := UCL;
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if LCL < minval then minval := LCL;
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BlankFrm.Image1.Canvas.Clear;
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BlankFrm.Show;
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Title := 'SIGMA CHART FOR : ' + OS3MainFrm.FileNameEdit.Text;
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BlankFrm.Caption := Title;
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imagewide := BlankFrm.Width;
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imagehi := BlankFrm.Height;
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vtop := 20;
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vbottom := round(imagehi) - 80;
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vhi := vbottom - vtop;
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hleft := 100;
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hright := imagewide - 80;
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hwide := hright - hleft;
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BlankFrm.Image1.Canvas.Pen.Color := clBlack;
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BlankFrm.Image1.Canvas.Brush.Color := clWhite;
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// Draw chart border
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BlankFrm.Image1.Canvas.Rectangle(hleft,vtop-10,hleft+hwide,vtop+vhi+10);
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// draw Grand Mean
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ypos := round(vhi * ( (maxval - GrandMean) / (maxval - minval)));
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ypos := ypos + vtop;
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xpos := hleft;
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BlankFrm.Image1.Canvas.MoveTo(xpos,ypos);
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xpos := hright;
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BlankFrm.Image1.Canvas.Pen.Color := clRed;
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BlankFrm.Image1.Canvas.LineTo(xpos,ypos);
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Title := 'MEAN';
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strhi := BlankFrm.Image1.Canvas.TextHeight(Title);
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ypos := ypos - strhi div 2;
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BlankFrm.Image1.Canvas.Brush.Color := clLtGray;
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BlankFrm.Image1.Canvas.TextOut(xpos,ypos,Title);
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// draw horizontal axis
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BlankFrm.Image1.Canvas.MoveTo(hleft,vbottom + 20);
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BlankFrm.Image1.Canvas.LineTo(hright,vbottom + 20);
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for i := 1 to NoGrps do
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begin
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ypos := vbottom + 10;
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xpos := round((hwide / NoGrps)* i + hleft);
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BlankFrm.Image1.Canvas.MoveTo(xpos,ypos);
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ypos := ypos + 10;
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BlankFrm.Image1.Canvas.LineTo(xpos,ypos);
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Title := format('%d',[i]);
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offset := BlankFrm.Image1.Canvas.TextWidth(Title) div 2;
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strhi := BlankFrm.Image1.Canvas.TextHeight(Title);
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xpos := xpos - offset;
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ypos := ypos + strhi;
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BlankFrm.Image1.Canvas.Pen.Color := clBlack;
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BlankFrm.Image1.Canvas.TextOut(xpos,ypos,Title);
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xpos := 10;
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BlankFrm.Image1.Canvas.TextOut(xpos,ypos,'GROUPS:');
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end;
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// Draw vertical axis
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valincr := (maxval - minval) / 10.0;
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for i := 1 to 11 do
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begin
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Title := format('%8.2f',[maxval - ((i-1)*valincr)]);
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strhi := BlankFrm.Image1.Canvas.TextHeight(Title);
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xpos := 10;
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Yvalue := maxval - (valincr * (i-1));
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ypos := round(vhi * ( (maxval - Yvalue) / (maxval - minval)));
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ypos := ypos + vtop - strhi div 2;
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BlankFrm.Image1.Canvas.TextOut(xpos,ypos,Title);
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end;
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// draw lines for means of the groups
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ypos := round(vhi * ( (maxval - means[0]) / (maxval - minval)));
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ypos := ypos + vtop;
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xpos := round((hwide / NoGrps) + hleft);
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BlankFrm.Image1.Canvas.MoveTo(xpos,ypos);
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BlankFrm.Image1.Canvas.Pen.Color := clBlack;
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for i := 2 to NoGrps do
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begin
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ypos := round(vhi * ( (maxval - means[i-1]) / (maxval - minval)));
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ypos := ypos + vtop;
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xpos := round((hwide / NoGrps)* i + hleft);
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BlankFrm.Image1.Canvas.LineTo(xpos,ypos);
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end;
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// Draw upper and lower confidence intervals
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ypos := round(vhi * ( (maxval - UCL) / (maxval - minval)));
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ypos := ypos + vtop;
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xpos := hleft;
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BlankFrm.Image1.Canvas.MoveTo(xpos,ypos);
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xpos := hright;
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BlankFrm.Image1.Canvas.Pen.Color := clRed;
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BlankFrm.Image1.Canvas.LineTo(xpos,ypos);
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Title := 'UCL';
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strhi := BlankFrm.Image1.Canvas.TextHeight(Title);
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ypos := ypos - strhi div 2;
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BlankFrm.Image1.Canvas.TextOut(xpos,ypos,Title);
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ypos := round(vhi * ( (maxval - LCL) / (maxval - minval)));
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ypos := ypos + vtop;
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xpos := hleft;
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BlankFrm.Image1.Canvas.MoveTo(xpos,ypos);
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xpos := hright;
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BlankFrm.Image1.Canvas.Pen.Color := clRed;
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BlankFrm.Image1.Canvas.LineTo(xpos,ypos);
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Title := 'LCL';
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strhi := BlankFrm.Image1.Canvas.TextHeight(Title);
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ypos := ypos - strhi div 2;
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BlankFrm.Image1.Canvas.TextOut(xpos,ypos,Title);
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end;
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initialization
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{$I sigmachartunit.lrs}
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end.
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