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LazStats: Refactor PCurvesUnit. Add pdf help to chm.
git-svn-id: https://svn.code.sf.net/p/lazarus-ccr/svn@7403 8e941d3f-bd1b-0410-a28a-d453659cc2b4
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@ -1,13 +1,14 @@
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object PCurvesFrm: TPCurvesFrm
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Left = 446
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Height = 215
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Height = 240
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Top = 161
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Width = 380
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Width = 280
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AutoSize = True
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BorderStyle = bsDialog
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Caption = 'Power Analysis for a z Test'
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ClientHeight = 215
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ClientWidth = 380
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ClientHeight = 240
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ClientWidth = 280
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OnActivate = FormActivate
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OnCreate = FormCreate
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OnShow = FormShow
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Position = poMainFormCenter
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@ -30,7 +31,7 @@ object PCurvesFrm: TPCurvesFrm
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AnchorSideTop.Side = asrCenter
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Left = 12
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Height = 15
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Top = 43
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Top = 39
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Width = 199
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BorderSpacing.Left = 12
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Caption = 'Standard Deviation of the Distribution'
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@ -42,7 +43,7 @@ object PCurvesFrm: TPCurvesFrm
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AnchorSideTop.Side = asrCenter
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Left = 12
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Height = 15
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Top = 74
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Top = 66
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Width = 62
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BorderSpacing.Left = 12
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Caption = 'Sample Size'
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@ -57,6 +58,7 @@ object PCurvesFrm: TPCurvesFrm
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Width = 53
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Alignment = taRightJustify
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BorderSpacing.Top = 8
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BorderSpacing.Right = 12
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TabOrder = 0
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Text = 'NullEdit'
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end
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@ -67,13 +69,13 @@ object PCurvesFrm: TPCurvesFrm
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AnchorSideTop.Side = asrBottom
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Left = 219
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Height = 23
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Top = 39
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Top = 35
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Width = 53
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Alignment = taRightJustify
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BorderSpacing.Left = 8
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BorderSpacing.Top = 8
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BorderSpacing.Top = 4
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TabOrder = 1
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Text = 'Edit1'
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Text = 'SDEdit'
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end
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object NEdit: TEdit
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AnchorSideLeft.Control = SDEdit
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@ -81,12 +83,12 @@ object PCurvesFrm: TPCurvesFrm
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AnchorSideTop.Side = asrBottom
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Left = 219
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Height = 23
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Top = 70
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Top = 62
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Width = 53
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Alignment = taRightJustify
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BorderSpacing.Top = 8
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BorderSpacing.Top = 4
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TabOrder = 2
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Text = 'Edit1'
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Text = 'NEdit'
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end
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object GroupBox1: TGroupBox
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AnchorSideLeft.Control = Owner
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@ -96,13 +98,13 @@ object PCurvesFrm: TPCurvesFrm
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AnchorSideRight.Side = asrBottom
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Left = 12
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Height = 82
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Top = 109
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Top = 101
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Width = 260
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Anchors = [akTop, akLeft, akRight]
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AutoSize = True
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BorderSpacing.Left = 12
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BorderSpacing.Top = 16
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BorderSpacing.Bottom = 12
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BorderSpacing.Bottom = 8
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Caption = 'Probability of a Type I Error:'
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ChildSizing.TopBottomSpacing = 8
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ChildSizing.VerticalSpacing = 8
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@ -163,88 +165,71 @@ object PCurvesFrm: TPCurvesFrm
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TabOrder = 5
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end
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end
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object Panel1: TPanel
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AnchorSideLeft.Control = NullEdit
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AnchorSideLeft.Side = asrBottom
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AnchorSideTop.Control = Owner
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AnchorSideBottom.Control = GroupBox1
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object CloseBtn: TButton
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AnchorSideTop.Control = Bevel1
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AnchorSideTop.Side = asrBottom
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AnchorSideRight.Control = Owner
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AnchorSideRight.Side = asrBottom
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AnchorSideBottom.Side = asrBottom
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Left = 288
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Height = 191
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Top = 0
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Width = 76
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Anchors = [akTop, akLeft, akBottom]
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Left = 217
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Height = 25
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Top = 207
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Width = 55
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Anchors = [akTop, akRight]
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AutoSize = True
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BorderSpacing.Left = 16
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BorderSpacing.Right = 12
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BevelOuter = bvNone
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ChildSizing.ControlsPerLine = 1
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ClientHeight = 191
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ClientWidth = 76
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BorderSpacing.Top = 8
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BorderSpacing.Right = 8
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BorderSpacing.Bottom = 8
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Caption = 'Close'
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ModalResult = 11
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TabOrder = 6
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end
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object ComputeBtn: TButton
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AnchorSideTop.Control = CloseBtn
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AnchorSideRight.Control = CloseBtn
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AnchorSideBottom.Control = Owner
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AnchorSideBottom.Side = asrBottom
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Left = 133
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Height = 25
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Top = 207
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Width = 76
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Anchors = [akTop, akRight]
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AutoSize = True
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BorderSpacing.Left = 8
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BorderSpacing.Right = 8
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BorderSpacing.Bottom = 8
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Caption = 'Compute'
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OnClick = ComputeBtnClick
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TabOrder = 5
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end
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object ResetBtn: TButton
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AnchorSideTop.Control = CloseBtn
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AnchorSideRight.Control = ComputeBtn
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AnchorSideBottom.Control = Owner
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AnchorSideBottom.Side = asrBottom
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Left = 71
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Height = 25
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Top = 207
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Width = 54
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Anchors = [akTop, akRight]
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AutoSize = True
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BorderSpacing.Left = 8
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BorderSpacing.Bottom = 8
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Caption = 'Reset'
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OnClick = ResetBtnClick
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TabOrder = 4
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object ResetBtn: TButton
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AnchorSideLeft.Control = Panel1
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AnchorSideRight.Control = Panel1
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AnchorSideRight.Side = asrBottom
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AnchorSideBottom.Control = CancelBtn
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Left = 0
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Height = 25
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Top = 55
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Width = 76
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Anchors = [akLeft, akRight, akBottom]
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AutoSize = True
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BorderSpacing.Bottom = 12
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Caption = 'Reset'
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OnClick = ResetBtnClick
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TabOrder = 0
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end
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object CancelBtn: TButton
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AnchorSideLeft.Control = Panel1
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AnchorSideRight.Control = Panel1
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AnchorSideRight.Side = asrBottom
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AnchorSideBottom.Control = ComputeBtn
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Left = 0
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Height = 25
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Top = 92
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Width = 76
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Anchors = [akLeft, akRight, akBottom]
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AutoSize = True
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BorderSpacing.Bottom = 12
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Caption = 'Cancel'
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ModalResult = 2
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TabOrder = 1
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end
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object ComputeBtn: TButton
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AnchorSideLeft.Control = Panel1
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AnchorSideRight.Control = Panel1
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AnchorSideRight.Side = asrBottom
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AnchorSideBottom.Control = ReturnBtn
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Left = 0
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Height = 25
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Top = 129
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Width = 76
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Anchors = [akLeft, akRight, akBottom]
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AutoSize = True
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BorderSpacing.Bottom = 12
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Caption = 'Compute'
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OnClick = ComputeBtnClick
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TabOrder = 2
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end
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object ReturnBtn: TButton
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AnchorSideLeft.Control = Panel1
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AnchorSideRight.Control = Panel1
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AnchorSideRight.Side = asrBottom
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AnchorSideBottom.Control = Panel1
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AnchorSideBottom.Side = asrBottom
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Left = 0
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Height = 25
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Top = 166
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Width = 76
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Anchors = [akLeft, akRight, akBottom]
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AutoSize = True
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Caption = 'Return'
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ModalResult = 1
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TabOrder = 3
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end
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end
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object Bevel1: TBevel
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AnchorSideLeft.Control = Owner
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AnchorSideTop.Control = GroupBox1
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AnchorSideTop.Side = asrBottom
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AnchorSideRight.Control = Owner
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AnchorSideRight.Side = asrBottom
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Left = 0
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Height = 8
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Top = 191
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Width = 280
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Anchors = [akTop, akLeft, akRight]
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Shape = bsBottomLine
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end
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end
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@ -14,11 +14,10 @@ type
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{ TPCurvesFrm }
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TPCurvesFrm = class(TForm)
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Panel1: TPanel;
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Bevel1: TBevel;
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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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CloseBtn: TButton;
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Prob01: TCheckBox;
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Prob025: TCheckBox;
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Prob05: TCheckBox;
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@ -33,11 +32,13 @@ type
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Label2: TLabel;
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Label3: TLabel;
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procedure ComputeBtnClick(Sender: TObject);
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procedure FormActivate(Sender: TObject);
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procedure FormCreate(Sender: TObject);
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procedure FormShow(Sender: TObject);
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procedure ResetBtnClick(Sender: TObject);
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private
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{ private declarations }
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function Validate(out AMsg: String; out AControl: TWinControl): Boolean;
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public
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{ public declarations }
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end;
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@ -47,6 +48,9 @@ var
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implementation
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uses
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Math;
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{ TPCurvesFrm }
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procedure TPCurvesFrm.ResetBtnClick(Sender: TObject);
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@ -65,170 +69,254 @@ end;
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procedure TPCurvesFrm.FormShow(Sender: TObject);
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begin
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ResetBtnClick(self);
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ResetBtnClick(self);
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end;
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procedure TPCurvesFrm.ComputeBtnClick(Sender: TObject);
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var
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mean, stddev, N, increment, althyp, power, zbeta, beta, StdErr : double;
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XMax, offset : double;
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ii : integer;
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j, NoPlots, SetNo : integer;
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alphas : array[1..6] of double;
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zalphas : array[1..6] of double;
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xalphas : array[1..6] of double;
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XPlotPts : DblDyneMat;
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YPlotPts : DblDyneMat;
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LabelStr, outline, xTitle, yTitle : string;
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oldCursor : TCursor;
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mean, stddev, increment, althyp, power, zbeta, beta, StdErr: double;
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XMax, offset: double;
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N: Integer;
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ii: integer;
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j, NoPlots, SetNo: integer;
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alphas: array[1..6] of double;
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zalphas: array[1..6] of double;
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xalphas: array[1..6] of double;
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XPlotPts: DblDyneMat;
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YPlotPts: DblDyneMat;
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LabelStr, outline: string;
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oldCursor: TCursor;
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lReport: TStrings;
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msg: String;
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C: TWinControl;
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begin
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SetLength(YPlotPts,6,80);
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SetLength(XPlotPts,1,80);
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if not Validate(msg, C) then begin
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C.SetFocus;
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MessageDlg(msg, mtError, [mbOk], 0);
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exit;
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end;
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XMax := 0.0;
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mean := StrToFloat(NullEdit.Text);
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stddev := StrToFloat(SDEdit.Text);
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N := StrToFloat(NEdit.Text);
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StdErr := stddev / sqrt(N); // standard error of mean;
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increment := 4.0 * StdErr / 80.0; //scale for 80 points
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SetLength(YPlotPts, 6, 80);
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SetLength(XPlotPts, 1, 80);
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// Initialize alternative type I error arrays
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for ii := 1 to 6 do
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begin
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alphas[ii] := 0.0;
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zalphas[ii] := 0.0;
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xalphas[ii] := 0.0;
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end;
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XMax := 0.0;
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mean := StrToFloat(NullEdit.Text);
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stddev := StrToFloat(SDEdit.Text);
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N := StrToInt(NEdit.Text);
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StdErr := stddev / sqrt(N); // standard error of mean;
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increment := 4.0 * StdErr / 80.0; //scale for 80 points
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// Get the desired alpha (Beta) curve options
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if (Prob01.Checked) then alphas[1] := 0.01;
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if (Prob025.Checked) then alphas[2] := 0.025;
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if (Prob05.Checked) then alphas[3] := 0.05;
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if (Prob075.Checked) then alphas[4] := 0.075;
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if (Prob10.Checked) then alphas[5] := 0.10;
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if (Prob20.Checked) then alphas[6] := 0.20;
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oldCursor := Screen.Cursor;
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Screen.Cursor := TCursor(crHourGlass);
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// Initialize alternative type I error arrays
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for ii := 1 to 6 do
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begin
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alphas[ii] := 0.0;
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zalphas[ii] := 0.0;
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xalphas[ii] := 0.0;
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end;
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// For curves selected, obtain corresponding z and x values
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for ii := 1 to 6 do
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begin
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if (alphas[ii] <> 0.0) then
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begin
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zalphas[ii] := inversez(1.0 - alphas[ii]);
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xalphas[ii] := (zalphas[ii] * StdErr) + mean;
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if (xalphas[ii] > XMax) then XMax := xalphas[ii];
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end;
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end;
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// Get the desired alpha (Beta) curve options
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if Prob01.Checked then alphas[1] := 0.01;
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if Prob025.Checked then alphas[2] := 0.025;
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if Prob05.Checked then alphas[3] := 0.05;
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if Prob075.Checked then alphas[4] := 0.075;
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if Prob10.Checked then alphas[5] := 0.10;
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if Prob20.Checked then alphas[6] := 0.20;
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// For each curve, obtain and plot 80 alternative hypotheses and
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// their corresponding probabilities
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NoPlots := 1;
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for ii := 1 to 6 do // possible curves
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begin
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if (alphas[ii] <> 0.0) then // curve selected?
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begin
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Offset := 0.0;
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for j := 1 to 80 do //get points to plot
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begin
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althyp := mean + Offset;
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zbeta := (xalphas[ii] - althyp ) / StdErr;
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if ( abs(zbeta) < 5.0) then beta := probz(zbeta)
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else beta := 0.0;
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power := 1.0 - beta;
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XPlotPts[0,j-1] := althyp;
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YPlotPts[NoPlots-1,j-1] := power;
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Offset := offset + increment;
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end;
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NoPlots := NoPlots + 1;
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end; // if alphas[i] <> 0
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end; // next curve i
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msg := 'At least one probability must be selected.';
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for ii := 1 to 6 do
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if alphas[ii] <> 0.0 then
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begin
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msg := '';
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break;
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end;
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if msg <> '' then begin
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Prob01.SetFocus;
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MessageDlg(msg, mtError, [mbOK], 0);
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exit;
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end;
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// Plot the points
|
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GraphFrm.BackColor := clWhite;
|
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GraphFrm.ShowLeftWall := true;
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GraphFrm.ShowRightWall := true;
|
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GraphFrm.ShowBottomWall := true;
|
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GraphFrm.ShowBackWall := true;
|
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GraphFrm.BackColor := clYellow;
|
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GraphFrm.WallColor := clBlue;
|
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GraphFrm.FloorColor := clBlue;
|
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outline := format('z-Test Power. Pop. Mean := %6.2f, Sigma := %6.2f, N := %2.0f',[mean,stddev,N]);
|
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GraphFrm.Heading := outline;
|
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xTitle := format('%6.2f x INCREMENT ABOVE HYPOTHESIZED MEAN',[increment]);
|
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GraphFrm.XTitle := xTitle;
|
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yTitle := 'PROBABILITIES';
|
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GraphFrm.YTitle := yTitle;
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GraphFrm.nosets := NoPlots-1;
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GraphFrm.nbars := 80;
|
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GraphFrm.barwideprop := 0.5;
|
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GraphFrm.miny := 0.0;
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GraphFrm.maxy := 1.0;
|
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GraphFrm.AutoScaled := false;
|
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GraphFrm.GraphType := 5; // 2d line charts
|
||||
GraphFrm.PtLabels := false;
|
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oldCursor := Screen.Cursor;
|
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Screen.Cursor := TCursor(crHourGlass);
|
||||
lReport := TStringList.Create;
|
||||
try
|
||||
// For curves selected, obtain corresponding z and x values
|
||||
for ii := 1 to 6 do
|
||||
begin
|
||||
if (alphas[ii] <> 0.0) then
|
||||
begin
|
||||
zalphas[ii] := inversez(1.0 - alphas[ii]);
|
||||
xalphas[ii] := (zalphas[ii] * StdErr) + mean;
|
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if (xalphas[ii] > XMax) then XMax := xalphas[ii];
|
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end;
|
||||
end;
|
||||
|
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SetNo := 1;
|
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for ii := 1 to 6 do
|
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begin
|
||||
if (alphas[ii] <> 0.0) then
|
||||
begin
|
||||
LabelStr := format('%4.2f',[alphas[ii]]);
|
||||
GraphFrm.SetLabels[SetNo] := LabelStr;
|
||||
SetNo := SetNo + 1;
|
||||
end;
|
||||
end;
|
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GraphFrm.Ypoints := YPlotPts;
|
||||
GraphFrm.Xpoints := XPlotPts;
|
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// For each curve, obtain and plot 80 alternative hypotheses and
|
||||
// their corresponding probabilities
|
||||
NoPlots := 1;
|
||||
for ii := 1 to 6 do // possible curves
|
||||
begin
|
||||
if (alphas[ii] <> 0.0) then // curve selected?
|
||||
begin
|
||||
Offset := 0.0;
|
||||
for j := 1 to 80 do //get points to plot
|
||||
begin
|
||||
althyp := mean + Offset;
|
||||
zbeta := (xalphas[ii] - althyp ) / StdErr;
|
||||
if (abs(zbeta) < 5.0) then
|
||||
beta := probz(zbeta)
|
||||
else
|
||||
beta := 0.0;
|
||||
power := 1.0 - beta;
|
||||
XPlotPts[0,j-1] := althyp;
|
||||
YPlotPts[NoPlots-1,j-1] := power;
|
||||
Offset := offset + increment;
|
||||
end;
|
||||
NoPlots := NoPlots + 1;
|
||||
end; // if alphas[i] <> 0
|
||||
end; // next curve i
|
||||
|
||||
Screen.Cursor := oldCursor;
|
||||
GraphFrm.ShowModal;
|
||||
// Plot the points
|
||||
GraphFrm.ShowLeftWall := true;
|
||||
GraphFrm.ShowRightWall := true;
|
||||
GraphFrm.ShowBottomWall := true;
|
||||
GraphFrm.ShowBackWall := true;
|
||||
GraphFrm.BackColor := GRAPH_BACK_COLOR;
|
||||
GraphFrm.WallColor := GRAPH_WALL_COLOR;
|
||||
GraphFrm.FloorColor := GRAPH_FLOOR_COLOR;
|
||||
GraphFrm.Heading := Format('z-Test Power. Pop. Mean: %.2f, Sigma: %.2f, N: %d', [mean, stddev, N]);
|
||||
GraphFrm.XTitle := Format('%.2f x INCREMENT ABOVE HYPOTHESIZED MEAN', [increment]);
|
||||
GraphFrm.YTitle := 'PROBABILITIES';
|
||||
GraphFrm.nosets := NoPlots-1;
|
||||
GraphFrm.nbars := 80;
|
||||
GraphFrm.barwideprop := 0.5;
|
||||
GraphFrm.miny := 0.0;
|
||||
GraphFrm.maxy := 1.0;
|
||||
GraphFrm.AutoScaled := false;
|
||||
GraphFrm.GraphType := 5; // 2d line charts
|
||||
GraphFrm.PtLabels := false;
|
||||
|
||||
OutputFrm.RichEdit.Clear;
|
||||
OutputFrm.RichEdit.Lines.Add('Power of the z-test for Alternate Hypotheses');
|
||||
OutputFrm.RichEdit.Lines.Add('');
|
||||
outline := 'Alpha Levels: ';
|
||||
for ii := 1 to 6 do
|
||||
begin
|
||||
if (alphas[ii] <> 0.0) then
|
||||
begin
|
||||
LabelStr := format(' %4.2f ',[alphas[ii]]);
|
||||
outline := outline + LabelStr;
|
||||
end;
|
||||
end;
|
||||
OutputFrm.RichEdit.Lines.Add(outline);
|
||||
OutputFrm.RichEdit.Lines.Add('');
|
||||
outline := '';
|
||||
for ii := 1 to 80 do
|
||||
begin
|
||||
outline := format('X := %6.2f ',[XPlotPts[0,ii-1]]);
|
||||
SetNo := 1;
|
||||
for j := 1 to 6 do
|
||||
begin
|
||||
if (alphas[j] <> 0.0) then
|
||||
begin
|
||||
LabelStr := format('%4.3f ',[YPlotPts[SetNo-1,ii-1]]);
|
||||
outline := outline + LabelStr;
|
||||
SetNo := SetNo + 1;
|
||||
end;
|
||||
end;
|
||||
OutputFrm.RichEdit.Lines.Add(outline);
|
||||
end;
|
||||
OutputFrm.ShowModal;
|
||||
SetNo := 1;
|
||||
for ii := 1 to 6 do
|
||||
begin
|
||||
if (alphas[ii] <> 0.0) then
|
||||
begin
|
||||
LabelStr := Format('%4.2f', [alphas[ii]]);
|
||||
GraphFrm.SetLabels[SetNo] := LabelStr;
|
||||
SetNo := SetNo + 1;
|
||||
end;
|
||||
end;
|
||||
GraphFrm.Ypoints := YPlotPts;
|
||||
GraphFrm.Xpoints := XPlotPts;
|
||||
|
||||
// clean up the heap
|
||||
XPlotPts := nil;
|
||||
YPlotPts := nil;
|
||||
Screen.Cursor := oldCursor;
|
||||
GraphFrm.ShowModal;
|
||||
|
||||
lReport.Add('Power of the z-test for Alternate Hypotheses');
|
||||
lReport.Add('');
|
||||
outline := 'Alpha Levels: ';
|
||||
for ii := 1 to 6 do
|
||||
begin
|
||||
if (alphas[ii] <> 0.0) then
|
||||
begin
|
||||
LabelStr := Format(' %4.2f ', [alphas[ii]]);
|
||||
outline := outline + LabelStr;
|
||||
end;
|
||||
end;
|
||||
lReport.Add(outline);
|
||||
lReport.Add('');
|
||||
|
||||
outline := '';
|
||||
for ii := 1 to 80 do
|
||||
begin
|
||||
outline := Format('X: %8.2f ', [XPlotPts[0, ii-1]]);
|
||||
SetNo := 1;
|
||||
for j := 1 to 6 do
|
||||
begin
|
||||
if (alphas[j] <> 0.0) then
|
||||
begin
|
||||
outline := outline + Format('%5.3f ', [YPlotPts[SetNo-1, ii-1]]);
|
||||
SetNo := SetNo + 1;
|
||||
end;
|
||||
end;
|
||||
lReport.Add(outline);
|
||||
end;
|
||||
|
||||
DisplayReport(lReport);
|
||||
|
||||
finally
|
||||
lReport.Free;
|
||||
Screen.Cursor := oldCursor;
|
||||
|
||||
XPlotPts := nil;
|
||||
YPlotPts := nil;
|
||||
end;
|
||||
end;
|
||||
|
||||
procedure TPCurvesFrm.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 TPCurvesFrm.FormCreate(Sender: TObject);
|
||||
begin
|
||||
if OutputFrm = nil then
|
||||
Application.CreateForm(TOutputFrm, OutputFrm);
|
||||
if GraphFrm = nil then
|
||||
Application.CreateForm(TGraphFrm, GraphFrm);
|
||||
end;
|
||||
|
||||
function TPCurvesFrm.Validate(out AMsg: String; out AControl: TWinControl): Boolean;
|
||||
var
|
||||
x: Double;
|
||||
n: Integer;
|
||||
begin
|
||||
Result := false;
|
||||
|
||||
if NullEdit.Text = '' then
|
||||
begin
|
||||
AMsg := 'Mean must not be empty.';
|
||||
AControl := NullEdit;
|
||||
exit;
|
||||
end;
|
||||
if not TryStrToFloat(NullEdit.Text, x) then
|
||||
begin
|
||||
AMsg := 'No valid number specified for Mean.';
|
||||
AControl := NullEdit;
|
||||
exit;
|
||||
end;
|
||||
|
||||
if SDEdit.Text = '' then
|
||||
begin
|
||||
AMsg := 'Standard deviation must not be empty.';
|
||||
AControl := SDEdit;
|
||||
exit;
|
||||
end;
|
||||
if not TryStrToFloat(SDEdit.Text, x) or (x <= 0) then
|
||||
begin
|
||||
AMsg := 'Standard deviation must be a positive number.';
|
||||
AControl := SDEdit;
|
||||
exit;
|
||||
end;
|
||||
|
||||
if NEdit.Text = '' then
|
||||
begin
|
||||
AMsg := 'Sample size not specified.';
|
||||
AControl := NEdit;
|
||||
exit;
|
||||
end;
|
||||
if not TryStrToInt(NEdit.Text, n) or (n <= 0) then
|
||||
begin
|
||||
AMsg := 'Sample size must be a positive integer number.';
|
||||
AControl := NEdit;
|
||||
exit;
|
||||
end;
|
||||
|
||||
Result := true;
|
||||
end;
|
||||
|
||||
initialization
|
||||
{$I pcurvesunit.lrs}
|
||||
|
||||
|
||||
Reference in New Issue
Block a user