# VB Two Way Ranova Two Example

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```Imports System
Imports System.Collections
Imports Microsoft.VisualBasic

Imports CenterSpace.NMath.Core

Namespace CenterSpace.NMath.Examples.VisualBasic

A .NET example in Visual Basic showing two-way ranova two.
Public Class Form1
Inherits System.Windows.Forms.Form

#Region " Windows Form Designer generated code "

Public Sub New()
MyBase.New()

This call is required by the Windows Form Designer.
InitializeComponent()

Add any initialization after the InitializeComponent() call

Read in data from a file. The file contains data for the following study*:

A researcher was interested in whether frequency of exposure to a
picture of an ugly or attractive person would influence ones liking
for the photograph. In order to find out the researcher, at the start
of each class he taught, pinned a large photograph of an ugly and
attractive person in front of the class. At the end of the class period the
students in the class were asked to rate on a 7 point liking scale the extent
to which they found the persons depicted in the photos to be likeable on
a scale similar to the one below.

unlikeable -3 -2 -1 0 1 2 3 likeable

The psychologist posted the pictures at the start of each class period
and had the students rate their liking for the two pictures at the end
of the lst class, again after 5 classes and finally again after 10 classes.
Thus each student gave 3 ratings for each of the two photographs (after
1 exposure, 5 exposures and 10 exposures).

Class TwoWayRanovaTwo performs a balanced two-way analysis of variance with
repeated measures on both factors. Multiple linear regression is used to
compute the RANOVA values. The constructor takes a DataFrame containing
the data, the column indices of the two factors, and the column index of
the data:
Dim Anova As TwoWayRanovaTwo = New TwoWayRanovaTwo(AnovaData, 1, 2, 0)

This example simply displays a traditional ANOVA table
in a System.Windows.Forms.DataGrid object. The next few lines of
code format the table contents.

First retrieve the table to display. Class TwoWayRanovaTwoTable is
a subclass of DataFrame.
Dim AnovaTable As TwoWayRanovaTwoTable = Anova.RanovaTable

Next, lets set the precision to three decimal places. Note that this
does not actually change the numbers in the ANOVA table. It just
determines how many decimal places are displayed when the table is
converted to a string.
Dim I As Integer
For I = 1 To (AnovaTable.Cols - 1)
CType(AnovaTable(I), DFNumericColumn).NumericFormat = "F3"
Next

Next convert the RANOVA table into a string. This has the effect of
formatting all the numbers so that they have three digits after the decimal
point and all Double.NaN values are represented as a ".". (Some rows
in the ANOVA table that do not have F statistic values or F statistic
p-values associated with them. The cells that correspond to these rows
and the F and P columns contain Double.NaN values.)
Dim DisplayFrame As New DataFrame(AnovaTable.ToString(), True, True, ControlChars.Tab, False)

Now display the RANOVA table in the DataGrid.
DataGrid1.DataSource = DisplayFrame.ToDataTable()

Results of the analysis indicated a main effect for the photo
attractiveness, F = 147.00, p = 0.001 <= 0.05, with the attractive
photo liked more than the ugly photo. There was no main effect for
the frequency of exposure to the photo, F = .60, p = 0.579 > 0.05.
There was a significant attractiveness of photo by frequency of
exposure interaction, F = 18.00, p = 0.003 <= 0.05.

End Sub

Form overrides dispose to clean up the component list.
Protected Overloads Overrides Sub Dispose(ByVal disposing As Boolean)
If disposing Then
If Not (components Is Nothing) Then
components.Dispose()
End If
End If
MyBase.Dispose(disposing)
End Sub

Required by the Windows Form Designer
Private components As System.ComponentModel.IContainer

NOTE: The following procedure is required by the Windows Form Designer
It can be modified using the Windows Form Designer.
Do not modify it using the code editor.
Friend WithEvents DataGrid1 As System.Windows.Forms.DataGrid
Friend WithEvents Label1 As System.Windows.Forms.Label
<System.Diagnostics.DebuggerStepThrough()> Private Sub InitializeComponent()
Me.DataGrid1 = New System.Windows.Forms.DataGrid()
Me.Label1 = New System.Windows.Forms.Label()
CType(Me.DataGrid1, System.ComponentModel.ISupportInitialize).BeginInit()
Me.SuspendLayout()

DataGrid1

Me.DataGrid1.AllowSorting = False
Me.DataGrid1.BackgroundColor = System.Drawing.Color.White
Me.DataGrid1.CaptionVisible = False
Me.DataGrid1.DataMember = ""
Me.DataGrid1.Location = New System.Drawing.Point(24, 112)
Me.DataGrid1.Name = "DataGrid1"
Me.DataGrid1.PreferredColumnWidth = 110
Me.DataGrid1.Size = New System.Drawing.Size(664, 152)
Me.DataGrid1.TabIndex = 0

Label1

Me.Label1.Font = New System.Drawing.Font("Microsoft Sans Serif", 14.25!, System.Drawing.FontStyle.Regular, System.Drawing.GraphicsUnit.Point, CType(0, Byte))
Me.Label1.Location = New System.Drawing.Point(144, 24)
Me.Label1.Name = "Label1"
Me.Label1.Size = New System.Drawing.Size(336, 64)
Me.Label1.TabIndex = 1
Me.Label1.Text = "Two Way Anova Example With Repeated Measures On Both Factors"
Me.Label1.TextAlign = System.Drawing.ContentAlignment.MiddleCenter

Form1

Me.AutoScaleBaseSize = New System.Drawing.Size(5, 13)
Me.ClientSize = New System.Drawing.Size(706, 288)
Me.FormBorderStyle = System.Windows.Forms.FormBorderStyle.FixedSingle
Me.Name = "Form1"
Me.Text = "Two Way Anova Example"
CType(Me.DataGrid1, System.ComponentModel.ISupportInitialize).EndInit()
Me.ResumeLayout(False)

End Sub

#End Region

End Class

End Namespace

```
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