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LazStats: Add tabular form of CUSUM control charts.
git-svn-id: https://svn.code.sf.net/p/lazarus-ccr/svn@7668 8e941d3f-bd1b-0410-a28a-d453659cc2b4
This commit is contained in:
wp_xxyyzz
@ -324,7 +324,7 @@ begin
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FChartFrame.SetXTitle(AXTitle);
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FChartFrame.SetYTitle(AYTitle);
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ser := FChartFrame.PlotXY(ptSymbols, nil, Means, Groups, nil, ADataTitle, clBlack);
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ser := FChartFrame.PlotXY(ptLinesAndSymbols, nil, Means, Groups, nil, ADataTitle, clBlack);
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if Length(Groups) > 0 then
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begin
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FChartFrame.Chart.BottomAxis.Marks.Source := ser.Source;
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@ -1,18 +1,20 @@
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inherited CUSUMChartForm: TCUSUMChartForm
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Height = 424
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Height = 503
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Width = 1000
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HelpType = htKeyword
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HelpKeyword = 'html/CUMSUMChart.htm'
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Caption = 'Cumulative Sum Control Chart'
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ClientHeight = 424
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ClientHeight = 503
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ClientWidth = 1000
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OnActivate = FormActivate
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ShowHint = True
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inherited SpecsPanel: TPanel
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Height = 424
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Height = 503
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Width = 432
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ClientHeight = 424
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ClientHeight = 503
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ClientWidth = 432
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inherited ButtonPanel: TPanel
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Top = 382
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Top = 461
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Width = 432
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ClientWidth = 432
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TabOrder = 5
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@ -33,8 +35,8 @@ inherited CUSUMChartForm: TCUSUMChartForm
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end
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end
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inherited VarList: TListBox
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Height = 349
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Width = 188
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Height = 428
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Width = 196
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end
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inherited GroupLabel: TLabel
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Left = 236
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@ -68,26 +70,245 @@ inherited CUSUMChartForm: TCUSUMChartForm
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AnchorSideLeft.Control = GroupInBtn
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Left = 205
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end
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object GroupBox1: TGroupBox[12]
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AnchorSideLeft.Control = MeasEdit
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AnchorSideTop.Control = GroupBox2
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object GroupBox2: TGroupBox[12]
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AnchorSideLeft.Control = MeasInBtn
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AnchorSideTop.Control = GroupEdit
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AnchorSideTop.Side = asrBottom
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AnchorSideRight.Control = MeasEdit
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AnchorSideRight.Side = asrBottom
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Left = 236
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Height = 153
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Top = 239
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Width = 196
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Left = 204
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Height = 134
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Top = 153
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Width = 228
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Anchors = [akTop, akLeft, akRight]
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AutoSize = True
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BorderSpacing.Top = 16
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BorderSpacing.Top = 20
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BorderSpacing.Bottom = 8
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Caption = 'Options:'
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ClientHeight = 114
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ClientWidth = 224
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TabOrder = 3
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object TargetChk: TCheckBox
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AnchorSideLeft.Control = GroupBox2
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AnchorSideTop.Control = TargetEdit
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AnchorSideTop.Side = asrCenter
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Left = 12
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Height = 19
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Top = 2
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Width = 108
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BorderSpacing.Left = 12
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BorderSpacing.Right = 8
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Caption = 'Use Target Specs'
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TabOrder = 0
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end
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object TargetEdit: TEdit
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AnchorSideLeft.Control = StdDevEdit
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AnchorSideTop.Control = GroupBox2
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AnchorSideRight.Control = GroupBox2
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AnchorSideRight.Side = asrBottom
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Left = 132
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Height = 23
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Top = 0
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Width = 84
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Alignment = taRightJustify
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Anchors = [akTop, akLeft, akRight]
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BorderSpacing.Right = 8
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BorderSpacing.Bottom = 4
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Constraints.MinWidth = 64
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TabOrder = 1
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Text = 'TargetEdit'
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end
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object rbTabular: TRadioButton
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AnchorSideLeft.Control = TargetChk
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AnchorSideTop.Control = Bevel3
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AnchorSideTop.Side = asrBottom
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Left = 12
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Height = 19
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Top = 66
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Width = 103
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BorderSpacing.Top = 4
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Caption = 'Tabular CUSUM'
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Checked = True
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OnChange = rbTabularChange
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TabOrder = 4
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TabStop = True
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end
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object Bevel3: TBevel
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AnchorSideLeft.Control = GroupBox2
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AnchorSideTop.Control = StdDevEdit
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AnchorSideTop.Side = asrBottom
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AnchorSideRight.Control = GroupBox2
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AnchorSideRight.Side = asrBottom
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Left = 8
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Height = 4
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Top = 58
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Width = 208
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Anchors = [akTop, akLeft, akRight]
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BorderSpacing.Left = 8
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BorderSpacing.Top = 8
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BorderSpacing.Right = 8
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Shape = bsTopLine
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end
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object rbVMask: TRadioButton
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AnchorSideLeft.Control = rbTabular
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AnchorSideTop.Control = rbTabular
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AnchorSideTop.Side = asrBottom
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Left = 12
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Height = 19
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Top = 89
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Width = 60
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BorderSpacing.Top = 4
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BorderSpacing.Bottom = 6
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Caption = 'V-Mask'
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OnChange = rbTabularChange
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TabOrder = 5
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end
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object StdDevChk: TCheckBox
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AnchorSideLeft.Control = GroupBox2
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AnchorSideTop.Control = StdDevEdit
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AnchorSideTop.Side = asrCenter
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Left = 12
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Height = 19
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Top = 29
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Width = 112
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BorderSpacing.Left = 12
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BorderSpacing.Right = 8
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Caption = 'Use StdDev Specs'
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TabOrder = 2
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end
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object StdDevEdit: TEdit
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AnchorSideLeft.Control = StdDevChk
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AnchorSideLeft.Side = asrBottom
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AnchorSideTop.Control = TargetEdit
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AnchorSideTop.Side = asrBottom
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AnchorSideRight.Control = GroupBox2
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AnchorSideRight.Side = asrBottom
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Left = 132
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Height = 23
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Top = 27
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Width = 84
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Alignment = taRightJustify
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Anchors = [akTop, akLeft, akRight]
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BorderSpacing.Left = 8
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BorderSpacing.Right = 8
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BorderSpacing.Bottom = 4
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Constraints.MinWidth = 64
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TabOrder = 3
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Text = 'StdDevEdit'
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end
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end
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object Notebook: TNotebook[13]
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AnchorSideLeft.Control = GroupBox2
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AnchorSideTop.Control = GroupBox2
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AnchorSideTop.Side = asrBottom
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AnchorSideRight.Control = GroupBox2
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AnchorSideRight.Side = asrBottom
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Left = 204
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Height = 153
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Top = 295
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Width = 228
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PageIndex = 0
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Anchors = [akTop, akLeft, akRight]
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BorderSpacing.Bottom = 8
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TabOrder = 4
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object TabularPage: TPage
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object TabularGroup: TGroupBox
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AnchorSideLeft.Control = TabularPage
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AnchorSideTop.Control = TabularPage
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AnchorSideRight.Control = TabularPage
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AnchorSideRight.Side = asrBottom
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Left = 0
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Height = 80
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Top = 0
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Width = 228
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Anchors = [akTop, akLeft, akRight]
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AutoSize = True
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Caption = 'Tabulated CUSUM Parameters'
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ClientHeight = 60
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ClientWidth = 224
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TabOrder = 0
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object Label7: TLabel
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AnchorSideTop.Control = kEdit
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AnchorSideTop.Side = asrCenter
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Left = 12
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Height = 15
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Top = 6
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Width = 96
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BorderSpacing.Left = 12
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Caption = 'k (in StdDev units)'
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ParentColor = False
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end
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object kEdit: TEdit
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AnchorSideLeft.Control = hEdit
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AnchorSideTop.Control = TabularGroup
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AnchorSideRight.Control = TabularGroup
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AnchorSideRight.Side = asrBottom
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Left = 117
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Height = 23
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Hint = 'Detection level for a shift in the process mean, '#13#10'expressed in data units (default), or'#13#10'as a multiple of the standard deviation of the '#13#10'data points (when "Normalized CUSUM" is checked).'
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Top = 2
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Width = 99
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Alignment = taRightJustify
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Anchors = [akTop, akLeft, akRight]
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BorderSpacing.Top = 2
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BorderSpacing.Right = 8
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Constraints.MinWidth = 64
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TabOrder = 0
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Text = 'kEdit'
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end
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object hEdit: TEdit
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AnchorSideLeft.Control = Label8
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AnchorSideLeft.Side = asrBottom
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AnchorSideTop.Control = kEdit
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AnchorSideTop.Side = asrBottom
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AnchorSideRight.Control = TabularGroup
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AnchorSideRight.Side = asrBottom
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Left = 117
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Height = 23
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Hint = 'Probability of concluding that a shift in the process has occurred, when in fact it did not. '
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Top = 29
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Width = 99
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Alignment = taRightJustify
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Anchors = [akTop, akLeft, akRight]
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BorderSpacing.Left = 8
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BorderSpacing.Top = 4
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BorderSpacing.Right = 8
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BorderSpacing.Bottom = 8
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Constraints.MinWidth = 64
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TabOrder = 1
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Text = 'hEdit'
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end
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object Label8: TLabel
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AnchorSideTop.Control = hEdit
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AnchorSideTop.Side = asrCenter
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Left = 12
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Height = 15
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Top = 33
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Width = 97
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BorderSpacing.Left = 12
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Caption = 'h (in StdDev units)'
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ParentColor = False
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end
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end
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end
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object VMaskPage: TPage
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object VMaskGroup: TGroupBox
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AnchorSideLeft.Control = VMaskPage
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AnchorSideTop.Control = VMaskPage
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AnchorSideRight.Control = VMaskPage
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AnchorSideRight.Side = asrBottom
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Left = 0
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Height = 153
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Top = 0
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Width = 228
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Anchors = [akTop, akLeft, akRight]
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AutoSize = True
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Caption = 'V-Mask Specifications'
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ClientHeight = 133
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ClientWidth = 192
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TabOrder = 4
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ClientWidth = 224
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TabOrder = 0
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object Label4: TLabel
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AnchorSideLeft.Control = GroupBox1
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AnchorSideLeft.Control = VMaskGroup
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AnchorSideTop.Control = DeltaEdit
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AnchorSideTop.Side = asrCenter
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Left = 12
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@ -99,7 +320,7 @@ inherited CUSUMChartForm: TCUSUMChartForm
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ParentColor = False
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end
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object Label5: TLabel
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AnchorSideLeft.Control = GroupBox1
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AnchorSideLeft.Control = VMaskGroup
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AnchorSideTop.Control = AlphaEdit
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AnchorSideTop.Side = asrCenter
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Left = 12
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@ -111,7 +332,7 @@ inherited CUSUMChartForm: TCUSUMChartForm
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ParentColor = False
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end
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object Label6: TLabel
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AnchorSideLeft.Control = GroupBox1
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AnchorSideLeft.Control = VMaskGroup
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AnchorSideTop.Control = BetaEdit
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AnchorSideTop.Side = asrCenter
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Left = 12
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@ -124,14 +345,14 @@ inherited CUSUMChartForm: TCUSUMChartForm
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end
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object DeltaEdit: TEdit
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AnchorSideLeft.Control = AlphaEdit
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AnchorSideTop.Control = GroupBox1
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AnchorSideRight.Control = GroupBox1
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AnchorSideTop.Control = VMaskGroup
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AnchorSideRight.Control = VMaskGroup
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AnchorSideRight.Side = asrBottom
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Left = 114
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Height = 23
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Hint = 'Detection level for a shift in the process mean, '#13#10'expressed in data units (default), or'#13#10'as a multiple of the standard deviation of the '#13#10'data points (when "Normalized CUSUM" is checked).'
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Top = 2
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Width = 70
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Width = 102
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Alignment = taRightJustify
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Anchors = [akTop, akLeft, akRight]
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BorderSpacing.Top = 2
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@ -145,13 +366,13 @@ inherited CUSUMChartForm: TCUSUMChartForm
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AnchorSideLeft.Side = asrBottom
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AnchorSideTop.Control = DeltaEdit
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AnchorSideTop.Side = asrBottom
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AnchorSideRight.Control = GroupBox1
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AnchorSideRight.Control = VMaskGroup
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AnchorSideRight.Side = asrBottom
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Left = 114
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Height = 23
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Hint = 'Probability of concluding that a shift in the process has occurred, when in fact it did not. '
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Top = 29
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Width = 70
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Width = 102
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Alignment = taRightJustify
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Anchors = [akTop, akLeft, akRight]
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BorderSpacing.Left = 8
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@ -165,13 +386,13 @@ inherited CUSUMChartForm: TCUSUMChartForm
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AnchorSideLeft.Control = AlphaEdit
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AnchorSideTop.Control = AlphaEdit
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AnchorSideTop.Side = asrBottom
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AnchorSideRight.Control = GroupBox1
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AnchorSideRight.Control = VMaskGroup
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AnchorSideRight.Side = asrBottom
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Left = 114
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Height = 23
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Hint = 'Probability of not detecting that a shift in the process mean has, in fact, occurred'
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Top = 56
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Width = 70
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Width = 102
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Alignment = taRightJustify
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Anchors = [akTop, akLeft, akRight]
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BorderSpacing.Top = 4
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@ -190,7 +411,7 @@ inherited CUSUMChartForm: TCUSUMChartForm
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Left = 12
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Height = 17
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Top = 104
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Width = 172
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Width = 204
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Anchors = [akTop, akLeft, akRight]
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BorderSpacing.Top = 2
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BorderSpacing.Bottom = 12
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@ -209,95 +430,41 @@ inherited CUSUMChartForm: TCUSUMChartForm
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ParentColor = False
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end
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end
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object GroupBox2: TGroupBox[13]
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AnchorSideLeft.Control = GroupBox1
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AnchorSideTop.Control = GroupEdit
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AnchorSideTop.Side = asrBottom
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AnchorSideRight.Control = MeasEdit
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AnchorSideRight.Side = asrBottom
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Left = 236
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Height = 74
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Top = 149
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Width = 196
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Anchors = [akTop, akLeft, akRight]
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AutoSize = True
|
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BorderSpacing.Top = 16
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BorderSpacing.Bottom = 8
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Caption = 'Option:'
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ClientHeight = 54
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ClientWidth = 192
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TabOrder = 3
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object TargetChk: TCheckBox
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AnchorSideLeft.Control = GroupBox2
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AnchorSideTop.Control = TargetEdit
|
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AnchorSideTop.Side = asrCenter
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Left = 12
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Height = 19
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Top = 2
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Width = 108
|
||||
BorderSpacing.Left = 12
|
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BorderSpacing.Right = 8
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Caption = 'Use Target Specs'
|
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TabOrder = 0
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end
|
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object TargetEdit: TEdit
|
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AnchorSideLeft.Control = TargetChk
|
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AnchorSideLeft.Side = asrBottom
|
||||
AnchorSideTop.Control = GroupBox2
|
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AnchorSideRight.Control = GroupBox2
|
||||
AnchorSideRight.Side = asrBottom
|
||||
Left = 128
|
||||
Height = 23
|
||||
Top = 0
|
||||
Width = 64
|
||||
Alignment = taRightJustify
|
||||
Anchors = [akTop, akLeft, akRight]
|
||||
BorderSpacing.Left = 8
|
||||
BorderSpacing.Right = 8
|
||||
BorderSpacing.Bottom = 4
|
||||
Constraints.MinWidth = 64
|
||||
TabOrder = 1
|
||||
Text = 'TargetEdit'
|
||||
end
|
||||
object ShowMeanDevChk: TCheckBox
|
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AnchorSideLeft.Control = TargetChk
|
||||
AnchorSideTop.Control = TargetEdit
|
||||
AnchorSideTop.Side = asrBottom
|
||||
Left = 12
|
||||
Height = 19
|
||||
Top = 27
|
||||
Width = 169
|
||||
BorderSpacing.Top = 4
|
||||
BorderSpacing.Bottom = 8
|
||||
Caption = 'Show mean group deviation'
|
||||
TabOrder = 2
|
||||
end
|
||||
end
|
||||
end
|
||||
inherited SpecsSplitter: TSplitter
|
||||
Left = 435
|
||||
Height = 424
|
||||
Left = 443
|
||||
Height = 503
|
||||
end
|
||||
inherited PageControl: TPageControl
|
||||
Left = 443
|
||||
Height = 412
|
||||
Width = 478
|
||||
Left = 451
|
||||
Height = 491
|
||||
Width = 543
|
||||
inherited ReportPage: TTabSheet
|
||||
ClientHeight = 384
|
||||
ClientWidth = 470
|
||||
ClientHeight = 463
|
||||
ClientWidth = 535
|
||||
inherited Panel1: TPanel
|
||||
Height = 344
|
||||
Width = 458
|
||||
ClientHeight = 340
|
||||
ClientWidth = 454
|
||||
Height = 423
|
||||
Width = 523
|
||||
ClientHeight = 419
|
||||
ClientWidth = 519
|
||||
inherited ReportMemo: TMemo
|
||||
Height = 332
|
||||
Width = 446
|
||||
Height = 411
|
||||
Width = 511
|
||||
end
|
||||
end
|
||||
inherited ReportToolBar: TToolBar
|
||||
Width = 466
|
||||
Width = 531
|
||||
end
|
||||
end
|
||||
end
|
||||
inherited SaveDialog: TSaveDialog
|
||||
Left = 600
|
||||
Top = 112
|
||||
end
|
||||
inherited PrintDialog: TPrintDialog
|
||||
Left = 600
|
||||
Top = 200
|
||||
end
|
||||
end
|
||||
|
||||
@ -6,7 +6,7 @@ interface
|
||||
|
||||
uses
|
||||
Classes, SysUtils, Forms, Controls, Graphics, Dialogs, ComCtrls, ExtCtrls,
|
||||
StdCtrls, Globals, BasicSPCUnit;
|
||||
StdCtrls, Buttons, PrintersDlgs, Globals, BasicSPCUnit;
|
||||
|
||||
type
|
||||
|
||||
@ -14,12 +14,24 @@ type
|
||||
|
||||
TCUSUMChartForm = class(TBasicSPCForm)
|
||||
AlphaEdit: TEdit;
|
||||
hEdit: TEdit;
|
||||
BetaEdit: TEdit;
|
||||
Bevel3: TBevel;
|
||||
kEdit: TEdit;
|
||||
TabularGroup: TGroupBox;
|
||||
Label1: TLabel;
|
||||
Label7: TLabel;
|
||||
Label8: TLabel;
|
||||
Notebook: TNotebook;
|
||||
TabularPage: TPage;
|
||||
StdDevChk: TCheckBox;
|
||||
StdDevEdit: TEdit;
|
||||
VMaskPage: TPage;
|
||||
rbTabular: TRadioButton;
|
||||
rbVMask: TRadioButton;
|
||||
VMaskScrollbar: TScrollBar;
|
||||
ShowMeanDevChk: TCheckBox;
|
||||
DeltaEdit: TEdit;
|
||||
GroupBox1: TGroupBox;
|
||||
VMaskGroup: TGroupBox;
|
||||
GroupBox2: TGroupBox;
|
||||
Label4: TLabel;
|
||||
Label5: TLabel;
|
||||
@ -27,13 +39,15 @@ type
|
||||
TargetChk: TCheckBox;
|
||||
TargetEdit: TEdit;
|
||||
procedure FormActivate(Sender: TObject);
|
||||
procedure rbTabularChange(Sender: TObject);
|
||||
private
|
||||
CUSums, CUSumsUpper, CUSumsLower: DblDyneVec;
|
||||
SEMean: Double;
|
||||
k, h: Double;
|
||||
protected
|
||||
procedure Compute; override;
|
||||
procedure PlotMeans(ATitle, AXTitle, AYTitle, ADataTitle, AGrandMeanTitle: String;
|
||||
const Groups: StrDyneVec; const Means: DblDyneVec;
|
||||
const Groups: StrDyneVec; const {%H-}Means: DblDyneVec;
|
||||
UCL, LCL, GrandMean, TargetSpec, LowerSpec, UpperSpec: double); override;
|
||||
procedure Reset; override;
|
||||
function Validate(out AMsg: String; out AControl: TWinControl): Boolean; override;
|
||||
@ -48,44 +62,53 @@ implementation
|
||||
{$R *.lfm}
|
||||
|
||||
uses
|
||||
Math, TAChartUtils, TASeries,
|
||||
Utils, MainUnit, DataProcs;
|
||||
Math, TAChartUtils, TATypes, TASeries,
|
||||
Utils, MainUnit, ChartFrameUnit, DataProcs;
|
||||
|
||||
{ TCUSUMChartForm }
|
||||
|
||||
procedure TCUSUMChartForm.Compute;
|
||||
var
|
||||
i, j, grpIndex, numGrps, grpSize, oldGrpSize, numValues: Integer;
|
||||
X, Xsq, Xmin, Xmax, target, diff, grandMean, grandSum, grandSD: Double;
|
||||
deltaSD, alpha, beta: double;
|
||||
sizeError: Boolean;
|
||||
X, Xsq, prevX: Double;
|
||||
target, stdDev, diff, grandMean, grandSD, aveSD: Double;
|
||||
delta, alpha, beta: double;
|
||||
grp: String;
|
||||
individuals: Boolean;
|
||||
UCL: Double = NaN;
|
||||
LCL: Double = NaN;
|
||||
groups: StrDyneVec = nil;
|
||||
means: DblDyneVec = nil;
|
||||
stdDev: DblDyneVec = nil;
|
||||
cuSums: DblDyneVec = nil;
|
||||
stdDevs: DblDyneVec = nil;
|
||||
count: IntDyneVec = nil;
|
||||
ColNoSelected: IntDyneVec = nil;
|
||||
lReport: TStrings;
|
||||
|
||||
begin
|
||||
if GroupEdit.Text <> '' then
|
||||
begin
|
||||
SetLength(ColNoSelected, 2);
|
||||
ColNoSelected[0] := GrpVar;
|
||||
ColNoSelected[1] := MeasVar;
|
||||
individuals := false;
|
||||
groups := GetGroups;
|
||||
end else
|
||||
begin
|
||||
SetLength(ColNoSelected, 1);
|
||||
ColNoSelected[0] := MeasVar;
|
||||
individuals := true;
|
||||
SetLength(groups, NoCases)
|
||||
end;
|
||||
|
||||
groups := GetGroups();
|
||||
numGrps := Length(groups);
|
||||
grpSize := 0;
|
||||
oldGrpSize := 0;
|
||||
|
||||
SetLength(means, numGrps);
|
||||
SetLength(count, numGrps);
|
||||
SetLength(stdDev, numGrps);
|
||||
SetLength(cuSums, numGrps);
|
||||
SEMean := 0.0;
|
||||
SetLength(means, numGrps);
|
||||
SetLength(stdDevs, numGrps);
|
||||
grandMean := 0.0;
|
||||
grandSum := 0.0;
|
||||
sizeError := false;
|
||||
grandSD := 0.0;
|
||||
|
||||
// Count "good" data points
|
||||
numValues := 0;
|
||||
@ -93,10 +116,32 @@ begin
|
||||
if GoodRecord(i, Length(ColNoSelected), ColNoSelected) then inc(numValues);
|
||||
|
||||
// calculate group ranges, grand mean, group sd's, semeans
|
||||
if individuals then
|
||||
begin
|
||||
// x-bar chart of individual measurements, no groups
|
||||
grpIndex := 0;
|
||||
prevX := NaN;
|
||||
for i := 1 to NoCases do
|
||||
begin
|
||||
if not GoodRecord(i, Length(ColNoSelected), ColNoSelected) then continue;
|
||||
X := StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[MeasVar, i]));
|
||||
Xsq := X*X;
|
||||
count[i] := 1;
|
||||
groups[grpIndex] := IntToStr(i);
|
||||
means[grpIndex] := means[grpIndex] + X;
|
||||
if not IsNaN(prevX) then
|
||||
stdDevs[grpIndex-1] := abs(X - prevX); // assume std dev to be moving range;
|
||||
// -1 --> skip empty 1st value
|
||||
grandMean := grandMean + X;
|
||||
grandSD := grandSD + Xsq;
|
||||
inc(grpIndex);
|
||||
prevX := X;
|
||||
end;
|
||||
SetLength(stdDevs, numGrps - 1); // skip empty 1st value
|
||||
end else
|
||||
begin
|
||||
for j := 0 to numGrps - 1 do // groups
|
||||
begin
|
||||
Xmin := Infinity;
|
||||
Xmax := -Infinity;
|
||||
for i := 1 to NoCases do
|
||||
begin
|
||||
if not GoodRecord(i, Length(ColNoSelected), ColNoSelected) then continue;
|
||||
@ -106,105 +151,160 @@ begin
|
||||
begin
|
||||
X := StrToFloat(Trim(OS3MainFrm.DataGrid.Cells[MeasVar, i]));
|
||||
Xsq := X * X;
|
||||
if X > Xmax then Xmax := X;
|
||||
if X < Xmin then Xmin := X;
|
||||
inc(count[grpIndex]);
|
||||
means[grpIndex] := means[grpIndex] + X;
|
||||
stddev[grpIndex] := stddev[grpIndex] + Xsq;
|
||||
SEMean := SEMean + Xsq;
|
||||
stdDevs[grpIndex] := stdDevs[grpIndex] + Xsq;
|
||||
grandMean := grandMean + X;
|
||||
grandSD := grandSD + Xsq;
|
||||
end;
|
||||
end; // next case
|
||||
|
||||
grpSize := count[j];
|
||||
if j = 0 then oldgrpSize := grpSize;
|
||||
if (oldGrpsize <> grpSize) or (grpSize < 2) then
|
||||
if (oldGrpSize <> grpSize) then
|
||||
begin
|
||||
sizeError := true;
|
||||
break;
|
||||
end;
|
||||
|
||||
stdDev[j] := stddev[j] - sqr(means[j]) / grpSize;
|
||||
stddev[j] := stddev[j] / (grpSize - 1);
|
||||
stddev[j] := sqrt(stddev[j]);
|
||||
means[j] := means[j] / grpSize;
|
||||
end; // next group
|
||||
|
||||
if (grpSize < 2) or (grpSize > 25) or sizeError then
|
||||
begin
|
||||
ErrorMsg('Group size error.');
|
||||
ErrorMsg('All groups must have the same size.');
|
||||
exit;
|
||||
end;
|
||||
|
||||
// now get cumulative deviations of means from target
|
||||
stdDevs[j] := stdDevs[j] - sqr(means[j]) / grpSize;
|
||||
stdDevs[j] := stdDevs[j] / (grpSize - 1);
|
||||
stdDevs[j] := sqrt(stdDevs[j]);
|
||||
means[j] := means[j] / grpSize;
|
||||
end; // next group
|
||||
end;
|
||||
|
||||
grandSD := grandSD - sqr(grandMean) / numValues;
|
||||
grandSD := sqrt(grandSD / (numValues - 1));
|
||||
SEMean := grandSD / sqrt(numValues);
|
||||
grandMean := grandMean/numValues; // mean of all observations
|
||||
if individuals then
|
||||
begin
|
||||
aveSD := 0;
|
||||
for i := 0 to High(stdDevs) do
|
||||
aveSD := aveSD + stdDevs[i];
|
||||
aveSD := aveSD / Length(stdDevs) / 1.128; // 1.128 is the value of d2 fo n = 2.
|
||||
end else
|
||||
aveSD := grandSD / sqrt(grpSize);
|
||||
|
||||
if TargetChk.Checked then
|
||||
target := StrToFloat(TargetEdit.Text)
|
||||
else
|
||||
target := means[numGrps-1];
|
||||
cusums[0] := means[0] - target;
|
||||
grandSum := grandSum + (means[0] - target);
|
||||
for j := 1 to numGrps-1 do
|
||||
target := grandMean; //means[numGrps-1];
|
||||
|
||||
if StdDevChk.Checked then
|
||||
stdDev := StrToFloat(StdDevEdit.Text)
|
||||
else
|
||||
stdDev := aveSD;
|
||||
|
||||
if rbTabular.Checked then
|
||||
begin
|
||||
k := StrToFloat(kEdit.Text) * stdDev;
|
||||
h := StrToFloat(hEdit.Text) * stdDev;
|
||||
UCL := h;
|
||||
LCL := -h;
|
||||
end else
|
||||
begin
|
||||
diff := means[j] - target;
|
||||
cusums[j] := cusums[j-1] + diff;
|
||||
grandSum := grandSum + diff;
|
||||
end;
|
||||
|
||||
SEMean := SEMean - sqr(grandMean)/numValues;
|
||||
SEMean := sqrt(SEMean/(numValues - 1));
|
||||
grandSD := SEMean;
|
||||
SEMean := SEMean/sqrt(numValues);
|
||||
grandMean := grandMean/numValues; // mean of all observations
|
||||
grandSum := grandSum/numGrps; // mean of the group means
|
||||
|
||||
if DeltaEdit.Text <> '' then
|
||||
begin
|
||||
deltaSD := StrToFloat(DeltaEdit.Text) / SEMean;
|
||||
delta := StrToFloat(DeltaEdit.Text) / stdDev;
|
||||
// This is in multiples of std deviations
|
||||
|
||||
// see : https://www.itl.nist.gov/div898/handbook/pmc/section3/pmc323.htm
|
||||
alpha := StrToFloat(AlphaEdit.Text);
|
||||
beta := StrToFloat(BetaEdit.Text);
|
||||
k := deltaSD * SEMean / 2.0;
|
||||
h := SEMean / deltaSD * ln((1 - beta) / alpha);
|
||||
|
||||
k := stdDev * delta / 2.0;
|
||||
h := stdDev / delta * ln((1-beta) / alpha);
|
||||
end;
|
||||
end;
|
||||
|
||||
// Now get cumulative deviations of means from target
|
||||
diff := means[0] - target;
|
||||
if rbVMask.Checked then
|
||||
begin
|
||||
SetLength(CUSums, numGrps);
|
||||
FillChar(CUSums[0], numGrps*SizeOf(Double), 0);
|
||||
CUSums[0] := diff;
|
||||
end;
|
||||
if rbTabular.Checked then
|
||||
begin
|
||||
SetLength(CUSumsUpper, numGrps);
|
||||
FillChar(CUSumsUpper[0], numGrps*SizeOf(Double), 0);
|
||||
CUSumsUpper[0] := 0; //Max(0, diff);
|
||||
SetLength(CUSumsLower, numGrps);
|
||||
FillChar(CUSumsLower[0], numGrps*SizeOf(Double), 0);
|
||||
CUSumsLower[0] := 0; //Max(0, diff);
|
||||
end;
|
||||
for j := 1 to numGrps-1 do
|
||||
begin
|
||||
diff := means[j] - target;
|
||||
if rbVMask.Checked then
|
||||
CUSums[j] := CUSums[j-1] + diff;
|
||||
if rbTabular.Checked then
|
||||
begin
|
||||
CUSumsUpper[j] := Max(0, diff - k + CUSumsUpper[j-1]);
|
||||
CUSumsLower[j] := Min(0, diff + k + CUSumsLower[j-1]);
|
||||
// wp: There's a lot of garbage in the internet on these formulas!
|
||||
end;
|
||||
end;
|
||||
|
||||
// Print results
|
||||
lReport := TStringList.Create;
|
||||
try
|
||||
lReport.Clear;
|
||||
lReport.Add('CUSUM Chart Results');
|
||||
lReport.Add('');
|
||||
lReport.Add('Number of Values: %8d', [numValues]);
|
||||
lReport.Add('Mean of group deviations: %8.3f', [grandSum]);
|
||||
lReport.Add('Mean of all observations: %8.3f', [grandMean]);
|
||||
lReport.Add('Std. Dev. of Observations: %8.3f', [grandSD]);
|
||||
lReport.Add('Standard Error of Mean: %8.3f', [SEMean]);
|
||||
lReport.Add('Target Specification: %8.3f', [target]);
|
||||
lReport.Add ('CUSUM Chart Results');
|
||||
lReport.Add ('');
|
||||
lReport.Add ('Number of Values: %8d', [numValues]);
|
||||
lReport.Add ('Number of groups: %8d', [numGrps]);
|
||||
lReport.Add ('Group size: %8d', [grpSize]);
|
||||
lReport.Add ('');
|
||||
lReport.Add ('Mean of all observations: %8.3f', [grandMean]);
|
||||
lReport.Add ('Std. Dev. of observations: %8.3f', [grandSD]);
|
||||
lReport.Add ('Standard error of Mean: %8.3f', [SEMean]);
|
||||
lReport.Add ('Target specification: %8.3f', [target]);
|
||||
lReport.Add ('Average group std dev: %8.3f', [aveSD]);
|
||||
lReport.Add ('');
|
||||
|
||||
lReport.Add('');
|
||||
lReport.Add('Differences in data units');
|
||||
lReport.Add('');
|
||||
if rbTabular.Checked then
|
||||
begin
|
||||
lReport.Add ('Tabular CUSUM parameters:');
|
||||
lReport.Add (' k: %8.3f (%s sigma)', [k, kEdit.Text]);
|
||||
lReport.Add (' h: %8.3f (%s sigma)', [h, hEdit.Text]);
|
||||
lReport.Add ('');
|
||||
|
||||
lReport.Add('Group Size Mean Std.Dev. Mean-Dev Cum.Dev. of' );
|
||||
lReport.Add(' Mean from Target');
|
||||
lReport.Add('----- ---- -------- -------- -------- ----------------');
|
||||
lReport.Add ('Group Size Mean Mean Dev Cum. Deviation ' );
|
||||
lReport.Add (' Upper Lower ');
|
||||
lReport.Add ('----- ---- -------- -------- ---------------------');
|
||||
for i := 0 to numGrps - 1 do
|
||||
begin
|
||||
lReport.Add('%5s %4d %8.3f %8.3f %8.3f %10.3f', [
|
||||
groups[i], count[i], means[i], stddev[i], means[i]-target, cusums[i]
|
||||
lReport.Add('%5s %4d %8.3f %8.3f %9.3f %9.3f', [
|
||||
groups[i], count[i], means[i], means[i]-target, CUSumsUpper[i], CUSumsLower[i]
|
||||
]);
|
||||
end;
|
||||
end;
|
||||
|
||||
if rbVMask.Checked then
|
||||
begin
|
||||
if DeltaEdit.Text <> '' then
|
||||
begin
|
||||
lReport.Add('');
|
||||
lReport.Add('V-Mask parameters:');
|
||||
lReport.Add(' Alpha (Type I error) %8.3f', [alpha]);
|
||||
lReport.Add(' Beta (Type II error) %8.3f', [beta]);
|
||||
lReport.Add(' k: %8.3f (%.2f sigma)', [k, k/SEMean]);
|
||||
lReport.Add(' h: %8.3f (%.2f sigma)', [h, h/SEMean]);
|
||||
end;
|
||||
lReport.Add ('');
|
||||
lReport.Add ('Group Size Mean Mean Dev Cum.Dev. of' );
|
||||
lReport.Add (' Mean from Target');
|
||||
lReport.Add ('----- ---- -------- -------- ----------------');
|
||||
for i := 0 to numGrps - 1 do
|
||||
begin
|
||||
lReport.Add('%5s %4d %8.3f %8.3f %10.3f', [
|
||||
groups[i], count[i], means[i], means[i]-target, cusums[i]
|
||||
]);
|
||||
end;
|
||||
end;
|
||||
|
||||
ReportMemo.Lines.Assign(lReport);
|
||||
finally
|
||||
@ -213,16 +313,14 @@ begin
|
||||
|
||||
// Show graph
|
||||
VMaskScrollbar.Max := numGrps;
|
||||
if not ShowMeanDevChk.Checked then
|
||||
grandSum := NaN;
|
||||
PlotMeans(
|
||||
Format('Cumulative Sum Chart for "%s"', [GetFileName]), // chart title
|
||||
GroupEdit.Text, // x title
|
||||
'CUSUM of ' + MeasEdit.Text + ' differences', // y title
|
||||
'Data', // series title
|
||||
'Mean', // mean label at right
|
||||
groups, cuSums,
|
||||
NaN, NaN, grandSum,
|
||||
groups, nil, // y values will be applied in overridden method
|
||||
UCL, LCL, NaN,
|
||||
NaN, NaN, NaN
|
||||
);
|
||||
end;
|
||||
@ -232,6 +330,8 @@ procedure TCUSUMChartForm.FormActivate(Sender: TObject);
|
||||
var
|
||||
w: Integer;
|
||||
begin
|
||||
NoGroupsAllowed := true;
|
||||
|
||||
w := MaxValue([HelpBtn.Width, ResetBtn.Width, ComputeBtn.Width, CloseBtn.Width]);
|
||||
HelpBtn.Constraints.MinWidth := w;
|
||||
ResetBtn.Constraints.MinWidth := w;
|
||||
@ -240,20 +340,36 @@ begin
|
||||
|
||||
DisableAutoSizing;
|
||||
try
|
||||
GroupBox1.Anchors := GroupBox1.Anchors - [akRight];
|
||||
// VMaskGroup.Anchors := VMaskGroup.Anchors - [akRight];
|
||||
VarList.Constraints.MinWidth := VarListLabel.Width;
|
||||
SpecsPanel.Constraints.MinWidth := Max(
|
||||
CloseBtn.Left + CloseBtn.Width - HelpBtn.Left + HelpBtn.BorderSpacing.Around,
|
||||
GroupBox2.Width * 2 + VarList.BorderSpacing.Right + VarList.BorderSpacing.Left
|
||||
);
|
||||
Constraints.MinHeight := GroupBox1.Top + GroupBox1.Height + GroupBox1.BorderSpacing.Bottom + ButtonPanel.Height;
|
||||
Height := 1; // enforce autosizing of height
|
||||
GroupBox1.Anchors := GroupBox1.Anchors + [akRight];
|
||||
TabularGroup.Constraints.MinHeight := VMaskScrollbar.Top + VMaskScrollbar.Height +
|
||||
VMaskScrollbar.BorderSpacing.Bottom + TabularGroup.Height - TabularGroup.ClientHeight;
|
||||
Notebook.Constraints.MinHeight := TabularGroup.Constraints.MinHeight;
|
||||
Notebook.Height := 1; // Enforce notebook autosizing
|
||||
Constraints.MinHeight := Notebook.Top + Notebook.Height + Notebook.BorderSpacing.Bottom + ButtonPanel.Height;
|
||||
if Height < Constraints.MinHeight then
|
||||
Height := 1; // enforce height autosizing
|
||||
// VMaskGroup.Anchors := VMaskGroup.Anchors + [akRight];
|
||||
finally
|
||||
EnableAutoSizing;
|
||||
end;
|
||||
end;
|
||||
|
||||
|
||||
procedure TCUSUMChartForm.rbTabularChange(Sender: TObject);
|
||||
begin
|
||||
if (Sender = rbTabular) and rbTabular.Checked then
|
||||
Notebook.PageIndex := 0
|
||||
else
|
||||
if (Sender = rbVMask) and rbVMask.Checked then
|
||||
Notebook.PageIndex := 1;
|
||||
end;
|
||||
|
||||
|
||||
{ Overridden to draw the V-Mark }
|
||||
procedure TCUSUMChartForm.PlotMeans(ATitle, AXTitle, AYTitle, ADataTitle, AGrandMeanTitle: String;
|
||||
const Groups: StrDyneVec; const Means: DblDyneVec;
|
||||
@ -262,8 +378,23 @@ var
|
||||
ser: TLineSeries;
|
||||
xVM, yVM, x1, y1, x2, y2, x3, y3, x4, y4: Double;
|
||||
begin
|
||||
inherited;
|
||||
if DeltaEdit.Text = '' then
|
||||
// Tabular CUSUM Chart: Plot the lower CUSums in addition to the upper CUSums.
|
||||
if rbTabular.Checked then
|
||||
begin
|
||||
inherited PlotMeans(ATitle, AXTitle, AYTitle, 'Upper CUSums', AGrandMeanTitle,
|
||||
Groups, CUSumsUpper, UCL, LCL, GrandMean, TargetSpec, LowerSpec, UpperSpec);
|
||||
|
||||
ser := TLineSeries(FChartFrame.PlotXY(ptLinesAndSymbols, nil, CUSUMsLower, Groups, nil, 'Lower CUSums', clBlack));
|
||||
// ser.Pointer.Style := psDiamond;
|
||||
ser.Pointer.Brush.Color := clWhite;
|
||||
end;
|
||||
|
||||
// CUSUM Chart with V-Mask
|
||||
if rbVMask.Checked then begin
|
||||
inherited PlotMeans(ATitle, AXTitle, AYTitle, ADataTitle, AGrandMeanTitle,
|
||||
Groups, CUSums, NaN, NaN, GrandMean, TargetSpec, LowerSpec, UpperSpec);
|
||||
|
||||
if (DeltaEdit.Text = '') then
|
||||
exit;
|
||||
|
||||
ser := TLineSeries.Create(FChartFrame.Chart);
|
||||
@ -273,7 +404,7 @@ begin
|
||||
|
||||
// Position of V mask point
|
||||
xVM := VMaskScrollbar.Position;
|
||||
yVM := Means[VMaskScrollbar.Position-1];
|
||||
yVM := CUSums[VMaskScrollbar.Position-1];
|
||||
|
||||
// Upper part of V mask
|
||||
x2 := xVM;
|
||||
@ -289,20 +420,23 @@ begin
|
||||
|
||||
ser.AddXY(x1, y1);
|
||||
ser.AddXY(x2, y2);
|
||||
ser.AddXY(x2, NaN); // Do not draw the vertical line
|
||||
// ser.AddXY(x2, NaN); // Do not draw the vertical line
|
||||
ser.AddXY(x3, y3);
|
||||
ser.AddXY(x4, y4);
|
||||
end;
|
||||
end;
|
||||
|
||||
|
||||
procedure TCUSUMChartForm.Reset;
|
||||
begin
|
||||
inherited;
|
||||
ShowMeanDevChk.Checked := false;
|
||||
TargetEdit.Clear;
|
||||
StdDevEdit.Clear;
|
||||
DeltaEdit.Clear;
|
||||
AlphaEdit.Text := FormatFloat('0.00000', 0.0027); //DEFAULT_ALPHA_LEVEL);
|
||||
BetaEdit.Text := FormatFloat('0.00000', 0.01); //DEFAULT_BETA_LEVEL);
|
||||
kEdit.Text := FormatFloat('0.0', 0.5);
|
||||
hEdit.Text := '4';
|
||||
AlphaEdit.Text := FormatFloat('0.00', DEFAULT_ALPHA_LEVEL);
|
||||
BetaEdit.Text := FormatFloat('0.00', DEFAULT_BETA_LEVEL);
|
||||
VMaskScrollbar.Min := 2;
|
||||
VMaskScrollbar.Max := 1000;
|
||||
VMaskScrollbar.Position := VMaskScrollbar.Max;
|
||||
@ -312,15 +446,52 @@ end;
|
||||
function TCUSUMChartForm.Validate(out AMsg: String; out AControl: TWinControl): Boolean;
|
||||
var
|
||||
x: Double;
|
||||
n: Integer;
|
||||
begin
|
||||
Result := inherited;
|
||||
if not Result then
|
||||
if (not Result) then
|
||||
begin
|
||||
// This particular chart will handle individual data if GroupEdit is empty.
|
||||
if GroupEdit.Visible and (GroupEdit.Text = '') then
|
||||
Result := true
|
||||
else
|
||||
exit;
|
||||
end;
|
||||
|
||||
Result := false;
|
||||
|
||||
if (DeltaEdit.Text <> '') then
|
||||
if TargetChk.Checked then
|
||||
begin
|
||||
if (TargetEdit.Text = '') then
|
||||
begin
|
||||
AMsg := 'Target not specified.';
|
||||
AControl := TargetEdit;
|
||||
exit;
|
||||
end;
|
||||
if not TryStrToFloat(TargetEdit.Text, x) then
|
||||
begin
|
||||
AMsg := 'No valid number given for target specification.';
|
||||
AControl := TargetEdit;
|
||||
exit;
|
||||
end;
|
||||
end;
|
||||
|
||||
if StdDevChk.Checked then
|
||||
begin
|
||||
if (StdDevEdit.Text = '') then
|
||||
begin
|
||||
AMsg := 'Standard deviation expected, but not specified.';
|
||||
AControl := StdDevEdit;
|
||||
exit;
|
||||
end;
|
||||
if not TryStrToFloat(StdDevEdit.Text, x) then
|
||||
begin
|
||||
AMsg := 'No valid number given for standard deviation.';
|
||||
AControl := StdDevEdit;
|
||||
exit;
|
||||
end;
|
||||
end;
|
||||
|
||||
if rbVMask.Checked and (DeltaEdit.Text <> '') then
|
||||
begin
|
||||
if not TryStrToFloat(DeltaEdit.Text, x) then
|
||||
begin
|
||||
@ -356,18 +527,31 @@ begin
|
||||
end;
|
||||
end;
|
||||
|
||||
if TargetChk.Checked then
|
||||
if rbTabular.Checked then
|
||||
begin
|
||||
if (TargetEdit.Text = '') then
|
||||
if (kEdit.Text = '') then
|
||||
begin
|
||||
AMsg := 'Target not specified.';
|
||||
AControl := TargetEdit;
|
||||
AMsg := 'k not specified.';
|
||||
AControl := kEdit;
|
||||
exit;
|
||||
end;
|
||||
if not TryStrToFloat(TargetEdit.Text, x) then
|
||||
if not TryStrToFloat(kEdit.Text, x) then
|
||||
begin
|
||||
AMsg := 'No valid number given for target specification.';
|
||||
AControl := TargetEdit;
|
||||
AMsg := 'No valid number given for k.';
|
||||
AControl := kEdit;
|
||||
exit;
|
||||
end;
|
||||
|
||||
if (hEdit.Text = '') then
|
||||
begin
|
||||
AMsg := 'h not specified.';
|
||||
AControl := hEdit;
|
||||
exit;
|
||||
end;
|
||||
if not TryStrToFloat(hEdit.Text, x) then
|
||||
begin
|
||||
AMsg := 'No valid number given for h.';
|
||||
AControl := hEdit;
|
||||
exit;
|
||||
end;
|
||||
end;
|
||||
|
||||
@ -61,7 +61,7 @@ implementation
|
||||
|
||||
uses
|
||||
Math,
|
||||
Utils, MainUnit, DataProcs;
|
||||
Utils, MathUnit, MainUnit, DataProcs;
|
||||
|
||||
{$R *.lfm}
|
||||
|
||||
@ -118,6 +118,7 @@ var
|
||||
grp: String;
|
||||
X, Xsq, prevX: Double;
|
||||
sigma, UCL, LCL, grandMean, grandSD, SEMean: Double;
|
||||
//C4Value: Double;
|
||||
individualsChart: Boolean;
|
||||
lReport: TStrings;
|
||||
begin
|
||||
@ -258,7 +259,8 @@ begin
|
||||
means[i] := means[i] / count[i];
|
||||
end;
|
||||
end;
|
||||
FAveStdDev := sqrt(FAveStdDev / (numGrps * grpSize));
|
||||
// C4Value := CalcC4(grpSize);
|
||||
FAveStdDev := sqrt(FAveStdDev / (numGrps * grpSize)); // / C4Value;
|
||||
UCL := grandMean + sigma * FAveStdDev;
|
||||
LCL := grandMean - sigma * FAveStdDev;
|
||||
|
||||
@ -289,9 +291,9 @@ begin
|
||||
lReport.Add('Group size: %8d', [grpSize]);
|
||||
lReport.Add('');
|
||||
lReport.Add('Grand Mean: %8.3f', [grandMean]);
|
||||
lReport.Add('Standard Deviation: %8.3f', [grandSD]);
|
||||
lReport.Add('Standard Error of Mean: %8.3f', [SEMean]);
|
||||
lReport.Add('Average Std Deviation: %8.3f', [FAveStdDev]);
|
||||
lReport.Add('Grand Std Deviation: %8.3f', [grandSD]);
|
||||
lReport.Add('Average Group Std Dev: %8.3f', [FAveStdDev]);
|
||||
lReport.Add('Upper Control Limit: %8.3f', [UCL]);
|
||||
lReport.Add('Lower Control Limit: %8.3f', [LCL]);
|
||||
lReport.Add('');
|
||||
|
||||
Reference in New Issue
Block a user