From 516ebcad09343eb2769991d16c7a944e1a11aa3f Mon Sep 17 00:00:00 2001 From: wp_xxyyzz Date: Sun, 26 Apr 2020 21:11:48 +0000 Subject: [PATCH] LazStats: Refactor ErrorCurvesUnit. Add pdf help to chm. git-svn-id: https://svn.code.sf.net/p/lazarus-ccr/svn@7407 8e941d3f-bd1b-0410-a28a-d453659cc2b4 --- .../lazstats/docs/HelpNDoc/LazStats.hnd | Bin 8945664 -> 9011200 bytes applications/lazstats/docs/chm/LazStats.chm | Bin 2384691 -> 2410987 bytes .../forms/simulations/errorcurvesunit.lfm | 84 ++- .../forms/simulations/errorcurvesunit.pas | 527 ++++++++++-------- 4 files changed, 326 insertions(+), 285 deletions(-) diff --git a/applications/lazstats/docs/HelpNDoc/LazStats.hnd b/applications/lazstats/docs/HelpNDoc/LazStats.hnd index 8a4d28be6a9ac7e002ac3c16bd7cbb46d62b345e..c7adb2a9505f788433859e629a4bf20500ac64b9 100644 GIT binary patch delta 50733 zcmb4~1y~%*wzhHCKyY_=Cj^J!0TKxA5ZqlRxCFPs-96ag1PLy|gIjQi06_wOlXLez zde6Q;&+{_H&|TGCy=ql;eQSOAkO%kSLlImoG5jwmD5R7)3Q_1^{)WMZ&<%z#1)@l^ zsPCYF?_(ioVlXApaH#sI@9MA((V!u{5-^EKXu!Wd2CxCY{Q_7ZrV225a3~eP@o@E+ zvzQeStk*CZm~c=~Fg0MzLlIhd3ZPgG#@b+_!-Bzxgo4MAfQEuXXvdhrY=mGL!uVmp zK*@n)?O7;s2WmkLJXfGvT+fCH{a 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zJ!hD$H<>{o%mMndsGek`yo}#w35$ppFs#?ClNa`soWh|Uui%fnAW45BX!{+*ftoQ4 zr+5$}R~0ttS)_c5cGW8#%wi-g7M1b|7bd^_lI<Xb4@uQKQISz9`arHBs`H%4!uf zE-citSQj&2EAmzebOLL@)~H$N7DxzDioz;N3NslO%4sFy3R#L)eS>5{Y=9G=Z0-qm zjXBa2l5ZGx6i-TjEG&NupF}54)+6HSf(0>tQsJb5wxSJ#>In(>HYjQTqds+zth4d| z0(<3B#cK@7BGC{f9)A=l>LUsmgh)p{x@_0>`;f5I6Fj%!!y^oIdP!(>u`FwZ&5Ly1 zBYU4~N&g{pS#-jo;%|g0MdWWYx|fJWmm<1A%{49+SzYY64OxH5yA)YUml3*$=~0D{ zg@^9W&Ky&GsBS!+i7roUFuZznF9aIhxyugbJzWE(h@6f4Tw~^f7{OLHa5XHSk!xUc z<$?y|j<0dca~1nf4dx$D&M#*cAFNhrt0wH1`=nt(z&@&4I)KlxE}VJ&IFF=Xk-H6_ zAoTp76D 1) then + begin + TypeIEdit.Setfocus; + MessageDlg('Valid number required between 0 and 1.', mtError, [mbOK], 0); + exit; + end; - // floodfill Alternate distribution area with blue - Xprop := (CriticalX - xlow) / (xhigh - xlow); - X := round((Xprop * Xrange) + XaxisStart); - Y := YaxisStart - 3; - BlankFrm.Image1.Canvas.Brush.Color := clBlue; - BlankFrm.Image1.Canvas.FloodFill(X-2,Y,clBlack,fsBorder ); - BlankFrm.Image1.Canvas.Brush.Color := clWhite; + if TypeIIEdit.Text = '' then + begin + TypeIIEdit.SetFocus; + MessageDlg('Input required.', mtError, [mbOK], 0); + exit; + end; + if not TryStrToFloat(TypeIEdit.Text, beta) or (beta < 0) or (beta > 1) then + begin + TypeIIEdit.Setfocus; + MessageDlg('Valid number required between 0 and 1.', mtError, [mbOK], 0); + exit; + end; - // Create values of normal curve for null distribution - NormPts(-4.0, 4.0, 100, realpts, self); - Xprop := ( (nullmean + 4*stderrmean) - xlow) / (xhigh - xlow); - range := round(Xprop * Xrange); - BlankFrm.Image1.Canvas.Brush.Color := clWhite; - PltPts(realpts, 4.0, -4.0, 0.5, 0.0, 100, XaxisStart, YaxisStart, range, - Yrange, clBlack, self); + BlankFrm.Show; - //Draw vertical axis at null mean - Xprop := (nullmean - xlow) / (xhigh - xlow); - X := round((Xprop * Xrange) + XaxisStart); - Y := YaxisStart; - BlankFrm.Image1.Canvas.MoveTo(X,Y); - BlankFrm.Image1.Canvas.LineTo(X,YaxisEnd); - charLabel := 'Null Mean'; - t := BlankFrm.Image1.Canvas.TextWidth(charLabel) div 2; - BlankFrm.Image1.Canvas.TextOut(X-t,YaxisEnd,charLabel); + BlankFrm.Image1.Canvas.Pen.Color := clBlack; + BlankFrm.Image1.Canvas.Brush.Color := clWhite; + BlankFrm.Image1.Canvas.Clear; + BlankFrm.Image1.Canvas.FloodFill(1,1,clWhite,fsborder); - // floodfill alpha area with red - Xprop := (CriticalX - xlow) / (xhigh - xlow); - X := round((Xprop * Xrange) + XaxisStart); - Y := YaxisStart - 3; - BlankFrm.Image1.Canvas.Brush.Color := clRed; - BlankFrm.Image1.Canvas.FloodFill(X+2,Y,clBlack,fsBorder ); - BlankFrm.Image1.Canvas.Brush.Color := clWhite; + if NullType.ItemIndex = 1 then alpha := alpha / 2.0; - //Draw vertical axis at alternative mean - BlankFrm.Image1.Canvas.Pen.Color := clBlack; - Xprop := (altmean - xlow) / (xhigh - xlow); - X := round((Xprop * Xrange) + XaxisStart); - Y := YaxisStart; - BlankFrm.Image1.Canvas.MoveTo(X,Y); - BlankFrm.Image1.Canvas.LineTo(X,YaxisEnd); - charLabel := 'Alternative Mean'; - t := BlankFrm.Image1.Canvas.TextWidth(charLabel) div 2; - BlankFrm.Image1.Canvas.TextOut(X-t,YaxisEnd,charLabel); + zalpha := InverseZ(1.0 - alpha); + zbeta := InverseZ(1.0 - beta); + Diff := abs(nullmean - altmean); + Nsize := round((StdDev / Diff) * abs(zbeta + zalpha)); + Nsize := Nsize * Nsize; + CriticalX := zalpha * (StdDev / sqrt(Nsize)) + nullmean; + stderrmean := StdDev / sqrt(Nsize); - // draw the vertical density axis scale values - Vscale(0.0, 0.5, 11, clWhite, 10, XaxisStart, YaxisStart, Yrange, 'DENSITY', self); + Clwidth := BlankFrm.Image1.Width; + Clheight := BlankFrm.Image1.Height; - // Print Heading - charLabel := 'Type I and II Error Areas'; - BlankFrm.Caption := charLabel; - charLabel := 'Alpha := '; - charLabel := charLabel + TypeIEdit.Text; - charLabel := charLabel + ', Beta := '; - charLabel := charLabel + TypeIIEdit.Text; - charLabel := charLabel + ', N := '; - charLabel := charLabel + IntToStr(Nsize); - t := BlankFrm.Image1.Canvas.TextWidth(charLabel); - X := round((BlankFrm.Image1.Width / 2) - (t / 2)); - BlankFrm.Image1.Canvas.TextOut(X,0,charLabel); + // Determine X scale and print it + YaxisStart := (Clheight * 6) div 10; + YaxisEnd := Clheight div 10; + Yrange := YaxisStart - YaxisEnd; + xlow := nullmean - 4 * stderrmean; + xhigh := altmean + 4 * stderrmean; + XaxisStart := Clwidth div 8; + XaxisEnd := Clwidth - (Clwidth div 8); + Xrange := XaxisEnd - XaxisStart; + HScale(xlow, xhigh, 9, clWhite, 8, XaxisStart, YaxisStart, Xrange, 'X SCALE'); - // print z scale for the null distribution - Xprop := ( (nullmean + 4*stderrmean) - xlow) / (xhigh - xlow); - range := round(Xprop * Xrange); - Hscale(-4.0, 4.0, 11, clWhite, 8, XaxisStart, YaxisStart+50, range,'NULL Z SCALE', self); + // Create values of the alternative distribution + Xprop := ((nullmean + 4*stderrmean) - xlow) / (xhigh - xlow); + range := round(Xprop * Xrange); + NormPts(-4.0, 4.0, 100, realpts{%H-}); + Xprop := ((altmean - 4 * stderrmean) - xlow) / (xhigh - xlow); + X := round((Xprop * Xrange) + XaxisStart); // where to start curve + PltPts(realpts, 4.0, -4.0, 0.5, 0.0, 100, X, YaxisStart, range, Yrange, clBlack); - end; + //Draw vertical axis at the critical X value + Xprop := (CriticalX - xlow) / (xhigh - xlow); + X := round((Xprop * Xrange) + XaxisStart); + Y := YaxisStart; + BlankFrm.Image1.Canvas.MoveTo(X,Y); + BlankFrm.Image1.Canvas.LineTo(X,YaxisEnd); + CharLabel := 'Critical X: ' + Format('%6.2f', [CriticalX]); + t := BlankFrm.Image1.Canvas.TextWidth(CharLabel) div 2; + BlankFrm.Image1.Canvas.TextOut(X-t, YaxisEnd-15, CharLabel); + + // floodfill Alternate distribution area with blue + Xprop := (CriticalX - xlow) / (xhigh - xlow); + X := round((Xprop * Xrange) + XaxisStart); + Y := YaxisStart - 3; + BlankFrm.Image1.Canvas.Brush.Color := clBlue; + BlankFrm.Image1.Canvas.FloodFill(X-2, Y, clBlack, fsBorder); + BlankFrm.Image1.Canvas.Brush.Color := clWhite; + + // Create values of normal curve for null distribution + NormPts(-4.0, 4.0, 100, realpts); + Xprop := ( (nullmean + 4*stderrmean) - xlow) / (xhigh - xlow); + range := round(Xprop * Xrange); + BlankFrm.Image1.Canvas.Brush.Color := clWhite; + PltPts(realpts, 4.0, -4.0, 0.5, 0.0, 100, XaxisStart, YaxisStart, range, Yrange, clBlack); + + //Draw vertical axis at null mean + Xprop := (nullmean - xlow) / (xhigh - xlow); + X := round((Xprop * Xrange) + XaxisStart); + Y := YaxisStart; + BlankFrm.Image1.Canvas.MoveTo(X,Y); + BlankFrm.Image1.Canvas.LineTo(X,YaxisEnd); + CharLabel := 'Null Mean'; + t := BlankFrm.Image1.Canvas.TextWidth(charLabel) div 2; + BlankFrm.Image1.Canvas.TextOut(X-t, YaxisEnd, CharLabel); + + // floodfill alpha area with red + Xprop := (CriticalX - xlow) / (xhigh - xlow); + X := round((Xprop * Xrange) + XaxisStart); + Y := YaxisStart - 3; + BlankFrm.Image1.Canvas.Brush.Color := clRed; + BlankFrm.Image1.Canvas.FloodFill(X+2, Y, clBlack, fsBorder); + BlankFrm.Image1.Canvas.Brush.Color := clWhite; + + //Draw vertical axis at alternative mean + BlankFrm.Image1.Canvas.Pen.Color := clBlack; + Xprop := (altmean - xlow) / (xhigh - xlow); + X := round((Xprop * Xrange) + XaxisStart); + Y := YaxisStart; + BlankFrm.Image1.Canvas.MoveTo(X,Y); + BlankFrm.Image1.Canvas.LineTo(X,YaxisEnd); + charLabel := 'Alternative Mean'; + t := BlankFrm.Image1.Canvas.TextWidth(charLabel) div 2; + BlankFrm.Image1.Canvas.TextOut(X-t,YaxisEnd,charLabel); + + // draw the vertical density axis scale values + Vscale(0.0, 0.5, 11, clWhite, 10, XaxisStart, YaxisStart, Yrange, 'DENSITY'); + + // Print Heading + CharLabel := 'Type I and II Error Areas'; + BlankFrm.Caption := CharLabel; + CharLabel := 'Alpha: ' + TypeIEdit.Text + ', Beta: ' + TypeIIEdit.Text + ', N: ' + IntToStr(Nsize); + t := BlankFrm.Image1.Canvas.TextWidth(CharLabel); + X := round((BlankFrm.Image1.Width - t) / 2); + BlankFrm.Image1.Canvas.TextOut(X, 0, CharLabel); + + // print z scale for the null distribution + Xprop := ((nullmean + 4*stderrmean) - xlow) / (xhigh - xlow); + range := round(Xprop * Xrange); + Hscale(-4.0, 4.0, 11, clWhite, 8, XaxisStart, YaxisStart+50, range,'NULL Z SCALE'); +end; + +procedure TErrorCurvesFrm.FormActivate(Sender: TObject); +var + w: Integer; +begin + w := MaxValue([ResetBtn.Width, ComputeBtn.Width, CloseBtn.Width]); + ResetBtn.Constraints.MinWidth := w; + ComputeBtn.Constraints.MinWidth := w; + CloseBtn.Constraints.MinWidth := w; +end; procedure TErrorCurvesFrm.FormCreate(Sender: TObject); begin @@ -224,112 +288,105 @@ begin end; procedure TErrorCurvesFrm.PltPts(realpts: TwoCol; Xmax, Xmin, Ymax, - Ymin: double; Npts, XaxisStart, YaxisStart, XaxisRange: integer; - YaxisRange: integer; acolor: TColor; Sender: TObject); + Ymin: double; Npts, XAxisStart, YAxisStart, XAxisRange, YAxisRange: integer; + AColor: TColor); var - hprop, zprop, z, h : double; - i, X, Y : integer; - intpts : array[1..100] of TPoint; + hprop, zprop, z, h: double; + i, X, Y: integer; + intpts: array[1..100] of TPoint; begin - for i := 1 to Npts do - begin - z := realpts[1,i]; - h := realpts[2,i]; - zprop := (z - Xmin) / (Xmax - Xmin); - X := round((zprop * XaxisRange) + XaxisStart); - hprop := (h - Ymin) / (Ymax - Ymin); - Y := round(YaxisStart - (hprop * YaxisRange)); - intpts[i] := Point(X,Y); - end; - BlankFrm.Image1.Canvas.Pen.Color := acolor; - BlankFrm.Image1.Canvas.Polyline(Slice(intpts,Npts - 1)); + for i := 1 to Npts do + begin + z := RealPts[1, i]; + h := RealPts[2, i]; + zprop := (z - Xmin) / (Xmax - Xmin); + X := round((zprop * XAxisRange) + XAxisStart); + hprop := (h - Ymin) / (Ymax - Ymin); + Y := round(YAxisStart - (hprop * YAxisRange)); + intpts[i] := Point(X,Y); + end; + + BlankFrm.Image1.Canvas.Pen.Color := AColor; + BlankFrm.Image1.Canvas.Polyline(Slice(intpts, Npts - 1)); end; procedure TErrorCurvesFrm.Hscale(Xmin, Xmax: double; Nsteps: integer; - acolor: TColor; FontSize: integer; X, Y, Xlength: integer; charLabel: string; - Sender: TObject); + AColor: TColor; FontSize: integer; X, Y, XLength: integer; CharLabel: string); var - i, TickEnd, Xpos, Ypos, TextX : integer; - Xincr, Xval : double; - Svalue, Ast : string; + i, TickEnd, Xpos, Ypos, TextX: integer; + Xincr, Xval: double; begin - BlankFrm.Image1.Canvas.MoveTo(X,Y); - BlankFrm.Image1.Canvas.LineTo(X+Xlength,Y); - BlankFrm.Image1.Canvas.Font.Size := FontSize; - BlankFrm.Image1.Canvas.Brush.Color := acolor; - TickEnd := Y + 10; - Xincr := (Xmax - Xmin) / Nsteps; - for i := 0 to Nsteps + 1 do - begin - Xpos := round(((Xlength / Nsteps) * i) + X); - BlankFrm.Image1.Canvas.MoveTo(Xpos,Y); - BlankFrm.Image1.Canvas.LineTo(Xpos,TickEnd); - TextX := Xpos - 8; - Xval := Xmin + ( i * Xincr); - Svalue := format('%4.2f',[Xval]); - Ast := Svalue; - BlankFrm.Image1.Canvas.TextOut(TextX, Y+15, Ast); - end; - // print label below X axis - Ypos := Y + 30; - Xpos := round((BlankFrm.Image1.Width / 2) - (BlankFrm.Image1.Canvas.TextWidth(charLabel) / 2)); - BlankFrm.Image1.Canvas.TextOut(Xpos,Ypos,charLabel); + BlankFrm.Image1.Canvas.MoveTo(X,Y); + BlankFrm.Image1.Canvas.LineTo(X+Xlength,Y); + BlankFrm.Image1.Canvas.Font.Size := FontSize; + BlankFrm.Image1.Canvas.Brush.Color := AColor; + TickEnd := Y + 10; + Xincr := (Xmax - Xmin) / Nsteps; + for i := 0 to Nsteps + 1 do + begin + Xpos := round(Xlength/Nsteps * i + X); + BlankFrm.Image1.Canvas.MoveTo(Xpos, Y); + BlankFrm.Image1.Canvas.LineTo(Xpos, TickEnd); + TextX := Xpos - 8; + Xval := Xmin + i*Xincr; + BlankFrm.Image1.Canvas.TextOut(TextX, Y+15, Format('%.2f', [Xval])); + end; + + // print label below X axis + Ypos := Y + 30; + Xpos := round((BlankFrm.Image1.Width / 2) - (BlankFrm.Image1.Canvas.TextWidth(CharLabel) / 2)); + BlankFrm.Image1.Canvas.TextOut(Xpos, Ypos, CharLabel); end; -procedure TErrorCurvesFrm.Vscale(Ymin, Ymax: double; Nsteps: integer; - acolor: TColor; FontSize: integer; X, Y, Ylength: integer; charLabel: string; - Sender: TObject); +procedure TErrorCurvesFrm.Vscale(Ymin, Ymax: double; NSteps: integer; + AColor: TColor; FontSize: integer; X, Y, YLength: integer; CharLabel: string); var - TickEnd, Ypos, Xpos, TextY : integer; - Yincr, Yval : double; - Svalue, symbol, Ast : string; - chpixs, i : integer; + TickEnd, Ypos, Xpos, TextY: integer; + Yincr, Yval: double; + chpixs, i: integer; begin - BlankFrm.Image1.Canvas.MoveTo(X,Y); - BlankFrm.Image1.Canvas.LineTo(X,Y-Ylength); - BlankFrm.Image1.Canvas.Font.Size := FontSize; - BlankFrm.Image1.Canvas.Brush.Color := acolor; - TickEnd := X - 10; - Yincr := (Ymax - Ymin) / Nsteps; - TextY := 0; - for i := 0 to Nsteps + 1 do - begin - Ypos := round(Y - ((Ylength / Nsteps) * i)); - BlankFrm.Image1.Canvas.MoveTo(X,Ypos); - BlankFrm.Image1.Canvas.LineTo(TickEnd,Ypos); - TextY := TickEnd - 30; - Yval := Ymin + ( i * Yincr); - Svalue := format('%4.2f',[Yval]); - Ast := Svalue; - BlankFrm.Image1.Canvas.TextOut(TextY, Ypos-8, Ast); - end; - // print label vertically - Xpos := TextY - 15; - for i := 1 to Length(charLabel) do - begin - chpixs := BlankFrm.Image1.Canvas.TextHeight(charLabel); - Ypos := round(Y - (Ylength / 2) - ( (Length(charLabel) * chpixs) / 2 ) + (chpixs * i)); - symbol := charLabel[i]; -// symbol[2] := 0; - BlankFrm.Image1.Canvas.TextOut(Xpos,Ypos,symbol); - end; + BlankFrm.Image1.Canvas.MoveTo(X,Y); + BlankFrm.Image1.Canvas.LineTo(X,Y-Ylength); + BlankFrm.Image1.Canvas.Font.Size := FontSize; + BlankFrm.Image1.Canvas.Brush.Color := acolor; + TickEnd := X - 10; + Yincr := (Ymax - Ymin) / Nsteps; + TextY := 0; + + for i := 0 to Nsteps + 1 do + begin + Ypos := round(Y - Ylength/Nsteps*i); + BlankFrm.Image1.Canvas.MoveTo(X, Ypos); + BlankFrm.Image1.Canvas.LineTo(TickEnd, Ypos); + TextY := TickEnd - 30; + Yval := Ymin + i*Yincr; + BlankFrm.Image1.Canvas.TextOut(TextY, Ypos-8, Format('%.2f', [Yval])); + end; + + // print label vertically + Xpos := TextY - 15; + chpixs := BlankFrm.Image1.Canvas.TextHeight(CharLabel); + for i := 1 to Length(CharLabel) do + begin + Ypos := round(Y - Ylength/2 - Length(CharLabel)*chpixs/2 + chpixs*i); + BlankFrm.Image1.Canvas.TextOut(Xpos,Ypos, CharLabel[i]); + end; end; procedure TErrorCurvesFrm.NormPts(zMin, zMax: double; Npts: integer; - var realpts: TwoCol; Sender: TObject); + var realpts: TwoCol); var - zIncr, z, h : double; - i : integer; + zIncr, z, h: double; + i: integer; begin - zIncr := (zMax - zMin) / Npts; - for i := 1 to Npts do - begin - z := zMin + (zIncr * i); - h := (1.0 / sqrt(2.0 * 3.14159265358979)) * - ( 1.0 / exp(z * z / 2.0)); - realpts[1,i] := z; - realpts[2,i] := h; - end; + zIncr := (zMax - zMin) / Npts; + for i := 1 to Npts do + begin + z := zMin + (zIncr * i); + h := (1.0 / sqrt(2.0 * PI)) * (1.0 / exp(z * z / 2.0)); + realpts[1, i] := z; + realpts[2, i] := h; + end; end; initialization

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