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Author*The author of this computation has been verified*
R Software Modulerwasp_Two Factor ANOVA.wasp
Title produced by softwareTwo-Way ANOVA
Date of computationSun, 14 Dec 2014 17:16:26 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/14/t1418577440t2klfu1b91xv0kj.htm/, Retrieved Thu, 16 May 2024 19:06:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267760, Retrieved Thu, 16 May 2024 19:06:55 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact82
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Two-Way ANOVA] [] [2014-12-14 17:16:26] [b4b65124834fa3a3e625dd03af063494] [Current]
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Dataseries X:
'S' "'F'" 21
'S' "'M'" 21
'S' "'F'" 21
'S' "'M'" 17
'S' "'M'" 22
'S' "'M'" 12
'S' "'F'" 19
'S' "'M'" 21
'S' "'M'" 20
'S' "'M'" 19
'S' "'M'" 22
'S' "'M'" 14
'S' "'M'" 19
'S' "'F'" 18
'S' "'F'" 18
'B' "'F'" 14
'S' "'M'" 20
'S' "'F'" 20
'B' "'M'" 20
'S' "'F'" 15
'S' "'M'" 15
'S' "'M'" 22
'S' "'F'" 21
'S' "'M'" 17
'S' "'M'" 24
'S' "'M'" 9
'B' "'M'" 29
'B' "'F'" 19
'S' "'M'" 22
'S' "'F'" 16
'S' "'F'" 15
'S' "'F'" 19
'S' "'M'" 24
'S' "'M'" 18
'S' "'M'" 22
'S' "'M'" 20
'S' "'F'" 9
'B' "'M'" 13
'S' "'M'" 21
'S' "'F'" 25
'S' "'M'" 22
'S' "'M'" 22
'S' "'M'" 23
'S' "'M'" 23
'B' "'M'" 18
'S' "'F'" 22
'S' "'M'" 14
'B' "'M'" 19
'S' "'F'" 16
'B' "'M'" 25
'B' "'M'" 22
'B' "'M'" 16
'S' "'M'" 18
'B' "'M'" 20
'S' "'M'" 17
'S' "'M'" 26
'B' "'F'" 20
'S' "'M'" 12
'B' "'F'" 8
'B' "'M'" 28
'S' "'M'" 27
'S' "'F'" 22
'S' "'F'" 20
'S' "'M'" 18
'S' "'F'" 19
'B' "'M'" 20
'S' "'F'" 17
'S' "'M'" 18
'S' "'M'" 17
'B' "'F'" 18
'S' "'F'" 24
'S' "'F'" 19
'B' "'F'" 21
'B' "'M'" 23
'S' "'F'" 14
'S' "'M'" 27
'S' "'F'" 15
'B' "'M'" 24
'S' "'F'" 18
'B' "'F'" 12
'S' "'M'" 24
'B' "'F'" 21
'B' "'F'" 13
'B' "'F'" 21
'B' "'M'" 19
'B' "'F'" 10
'B' "'M'" 22
'B' "'M'" 18
'B' "'F'" 21
'B' "'F'" 23
'B' "'F'" 17
'B' "'M'" 21
'B' "'M'" 19
'B' "'M'" 20
'B' "'F'" 21
'B' "'M'" 19
'B' "'F'" 20
'B' "'M'" 26
'B' "'M'" 21
'B' "'M'" 24
'B' "'M'" 20
'B' "'M'" 21
'B' "'F'" 18
'B' "'M'" 9
'B' "'M'" 15
'B' "'M'" 19
'B' "'F'" 12
'B' "'F'" 8
'B' "'F'" 15
'B' "'F'" 18
'B' "'F'" 16
'B' "'F'" 19
'B' "'M'" 18
'S' "'M'" 22
'S' "'M'" 21
'S' "'M'" 20
'S' "'M'" 24
'B' "'F'" 29
'B' "'M'" 16
'S' "'M'" 27
'S' "'F'" 21
'S' "'M'" 23
'S' "'F'" 17
'S' "'F'" 17
'S' "'M'" 23
'S' "'M'" 18
'S' "'M'" 16
'S' "'M'" 19
'S' "'M'" 14
'B' "'M'" 23
'S' "'M'" 25
'S' "'M'" 24
'S' "'F'" 18
'S' "'M'" 18
'S' "'M'" 15
'S' "'M'" 18
'S' "'M'" 19
'S' "'M'" 22
'S' "'M'" 20
'S' "'F'" 22
'S' "'M'" 19
'B' "'M'" 20
'S' "'M'" 19
'S' "'M'" 4
'S' "'M'" 21
'S' "'F'" 22
'S' "'F'" 21
'S' "'M'" 14
'S' "'F'" 15
'S' "'F'" 7
'S' "'M'" 23
'S' "'F'" 17
'S' "'M'" 22
'S' "'M'" 23
'S' "'F'" 19
'B' "'M'" 24
'B' "'M'" 19
'S' "'M'" 27
'S' "'F'" 22
'B' "'F'" 26
'B' "'F'" 17
'B' "'F'" 27
'B' "'M'" 21
'S' "'F'" 19
'S' "'M'" 22
'B' "'F'" 25
'B' "'M'" 21
'B' "'F'" 27
'B' "'M'" 24
'B' "'F'" 20
'B' "'F'" 21
'B' "'M'" 27
'B' "'F'" 19
'B' "'M'" 28
'S' "'M'" 24
'S' "'M'" 24
'B' "'M'" 19
'S' "'M'" 20
'S' "'F'" 17
'B' "'M'" 21
'S' "'F'" 18
'B' "'F'" 23
'B' "'F'" 16
'S' "'M'" 24
'B' "'F'" 18
'B' "'M'" 19
'B' "'F'" 26
'B' "'F'" 25
'B' "'F'" 26
'B' "'F'" 24
'B' "'M'" 17
'B' "'M'" 24
'B' "'M'" 9
'B' "'M'" 16
'B' "'F'" 12
'B' "'F'" 17
'B' "'M'" 29
'S' "'F'" 24
'B' "'F'" 4
'B' "'F'" 16
'B' "'F'" 21
'S' "'M'" 22
'B' "'M'" 21
'S' "'F'" 17
'B' "'F'" 19
'S' "'M'" 19
'B' "'F'" 22
'S' "'M'" 15
'B' "'M'" 22
'B' "'F'" 1
'B' "'M'" 17
'B' "'M'" 25
'S' "'M'" 22
'S' "'F'" 11
'B' "'F'" 18
'S' "'F'" 23
'S' "'M'" 12
'B' "'M'" 18
'S' "'M'" 22
'B' "'M'" 24
'B' "'F'" 27
'S' "'F'" 18
'B' "'F'" 14
'S' "'M'" 28
'S' "'M'" 15
'S' "'F'" 18
'B' "'F'" 22
'S' "'F'" 15
'B' "'M'" 23
'S' "'M'" 22
'S' "'F'" 19
'S' "'F'" 5
'S' "'F'" 19
'B' "'M'" 22
'S' "'M'" 19
'S' "'M'" 5
'S' "'M'" 23
'B' "'F'" 22
'S' "'M'" 16
'S' "'M'" 4
'B' "'M'" 13
'S' "'F'" 23
'B' "'F'" 16
'B' "'M'" 20
'B' "'F'" 25
'B' "'M'" 25
'B' "'M'" 22
'S' "'F'" 17
'S' "'M'" 19
'S' "'F'" 21
'S' "'M'" 18
'S' "'M'" 23
'S' "'F'" 19
'B' "'M'" 22
'B' "'F'" 14
'S' "'M'" 26
'B' "'F'" 25
'B' "'M'" 23
'S' "'F'" 20
'B' "'F'" 18
'B' "'M'" 16
'B' "'M'" 21
'B' "'F'" 26
'B' "'M'" 9
'B' "'M'" 20
'B' "'F'" 16
'B' "'M'" 21
'B' "'F'" 19
'B' "'F'" 14
'B' "'M'" 26
'B' "'M'" 23
'B' "'F'" 15
'B' "'M'" 24
'B' "'F'" 1
'B' "'F'" 24
'B' "'M'" 19
'S' "'F'" 22
'B' "'F'" 22
'B' "'M'" 24
'S' "'M'" 20
'S' "'M'" 16
'S' "'F'" 22
'S' "'M'" 22
'S' "'M'" 27
'S' "'M'" 27
'S' "'M'" 20
'S' "'F'" 23
'S' "'M'" 19
'S' "'F'" 7
'S' "'F'" 19
'S' "'M'" 27
'B' "'F'" 17
'S' "'M'" 26
'B' "'F'" 21
'S' "'F'" 19
'S' "'M'" 19
'S' "'M'" 22
'S' "'M'" 24
'S' "'F'" 15
'S' "'F'" 18
'S' "'F'" 22
'S' "'M'" 20
'S' "'F'" 16
'S' "'M'" 16
'S' "'M'" 20
'S' "'M'" 27
'S' "'F'" 17
'S' "'M'" 22
'S' "'F'" 25
'S' "'M'" 28
'S' "'F'" 18
'S' "'F'" 20
'S' "'F'" 17
'S' "'F'" 17
'S' "'F'" 15
'S' "'F'" 16
'S' "'M'" 17
'S' "'M'" 21
'S' "'M'" 14
'S' "'F'" 18
'S' "'F'" 16
'S' "'F'" 20
'B' "'F'" 24
'S' "'F'" 16
'B' "'M'" 18
'B' "'M'" 23
'B' "'M'" 17
'S' "'M'" 14
'S' "'F'" 11
'S' "'M'" 13
'B' "'F'" 17
'S' "'M'" 20
'S' "'M'" 20
'S' "'F'" 15
'S' "'M'" 16
'B' "'F'" 19
'S' "'F'" 15
'B' "'F'" 20
'S' "'F'" 15
'S' "'F'" 17
'S' "'F'" 24
'B' "'M'" 21
'B' "'F'" 20
'B' "'F'" 16
'S' "'M'" 20
'S' "'M'" 24
'S' "'M'" 27
'B' "'M'" 27
'S' "'F'" 21
'S' "'M'" 21
'S' "'M'" 27
'S' "'F'" 16
'S' "'F'" 21
'S' "'F'" 21
'B' "'F'" 16
'S' "'M'" 20
'S' "'F'" 13
'B' "'F'" 20
'B' "'F'" 17
'B' "'F'" 21
'S' "'F'" 18
'S' "'F'" 15
'B' "'M'" 19
'B' "'M'" 18
'B' "'M'" 21
'B' "'F'" 23
'S' "'F'" 20
'B' "'M'" 18
'B' "'F'" 22
'S' "'M'" 22
'B' "'M'" 25
'S' "'M'" 17
'B' "'M'" 25
'S' "'M'" 19
'B' "'F'" 18
'S' "'F'" 16
'S' "'F'" 20
'B' "'F'" 26
'B' "'F'" 21
'B' "'M'" 18
'S' "'F'" 13
'B' "'F'" 19
'S' "'M'" 21
'B' "'F'" 26
'S' "'F'" 22
'B' "'M'" 24
'B' "'F'" 19
'B' "'M'" 21
'S' "'M'" 22
'B' "'F'" 15
'S' "'M'" 18
'S' "'F'" 19
'B' "'M'" 23
'S' "'F'" 21
'B' "'M'" 19
'S' "'M'" 24
'B' "'M'" 26
'B' "'F'" 21
'B' "'M'" 19
'B' "'M'" 25
'S' "'F'" 26
'S' "'M'" 24
'S' "'M'" 26
'S' "'M'" 15
'S' "'M'" 14
'S' "'F'" 24
'S' "'M'" 26
'B' "'F'" 19
'B' "'F'" 17
'B' "'M'" 17
'S' "'F'" 23
'S' "'M'" 20
'B' "'M'" 20
'S' "'F'" 13
'S' "'F'" 24
'B' "'M'" 18
'S' "'M'" 16
'B' "'M'" 24
'S' "'M'" 21
'S' "'F'" 12
'B' "'M'" 18
'S' "'M'" 15
'B' "'M'" 23
'B' "'M'" 22
'S' "'F'" 22
'S' "'F'" 22
'S' "'M'" 24
'B' "'F'" 10
'B' "'M'" 17
'B' "'M'" 25
'S' "'F'" 25
'S' "'M'" 13
'B' "'F'" 23
'B' "'M'" 21
'B' "'F'" 23
'B' "'F'" 17
'B' "'M'" 14
'B' "'M'" 25
'S' "'M'" 22
'S' "'M'" 20
'B' "'F'" 17
'S' "'F'" 16
'B' "'M'" 15
'S' "'F'" 12
'S' "'F'" 18
'B' "'M'" 21
'B' "'M'" 21
'S' "'M'" 17
'S' "'M'" 19
'S' "'M'" 15
'S' "'M'" 12
'B' "'M'" 22
'B' "'M'" 19
'B' "'F'" 24
'B' "'M'" 25
'B' "'F'" 19
'B' "'F'" 23
'B' "'M'" 19
'B' "'M'" 16
'S' "'M'" 23
'B' "'M'" 25
'S' "'M'" 26
'S' "'M'" 22
'B' "'M'" 20
'S' "'F'" 23
'S' "'M'" 23
'S' "'M'" 22
'B' "'M'" 26
'B' "'F'" 20
'B' "'M'" 16
'B' "'M'" 21
'S' "'M'" 25
'S' "'M'" 17
'S' "'F'" 20
'B' "'M'" 23
'B' "'M'" 21
'B' "'F'" 17
'B' "'F'" 21
'B' "'M'" 24
'S' "'M'" 18
'S' "'M'" 20
'S' "'M'" 17
'B' "'F'" 18
'B' "'M'" 20
'B' "'F'" 15
'B' "'M'" 20
'S' "'M'" 25




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267760&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267760&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267760&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







ANOVA Model
Response ~ Treatment_A * Treatment_B
means18.873-0.5541.877-0.138

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Response ~ Treatment_A * Treatment_B \tabularnewline
means & 18.873 & -0.554 & 1.877 & -0.138 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267760&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Response ~ Treatment_A * Treatment_B[/C][/ROW]
[ROW][C]means[/C][C]18.873[/C][C]-0.554[/C][C]1.877[/C][C]-0.138[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267760&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267760&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

ANOVA Model
Response ~ Treatment_A * Treatment_B
means18.873-0.5541.877-0.138







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
1
Treatment_A136.74736.7471.8860.17
Treatment_B1388.548388.54819.9390
Treatment_A:Treatment_B10.5620.5620.0290.865
Residuals4839412.18419.487

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
 & 1 &  &  &  &  \tabularnewline
Treatment_A & 1 & 36.747 & 36.747 & 1.886 & 0.17 \tabularnewline
Treatment_B & 1 & 388.548 & 388.548 & 19.939 & 0 \tabularnewline
Treatment_A:Treatment_B & 1 & 0.562 & 0.562 & 0.029 & 0.865 \tabularnewline
Residuals & 483 & 9412.184 & 19.487 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267760&T=2

[TABLE]
[ROW][C]ANOVA Statistics[/C][/ROW]
[ROW][C] [/C][C]Df[/C][C]Sum Sq[/C][C]Mean Sq[/C][C]F value[/C][C]Pr(>F)[/C][/ROW]
[ROW][C][/C][C]1[/C][C][/C][C][/C][C][/C][C][/C][/ROW]
[ROW][C]Treatment_A[/C][C]1[/C][C]36.747[/C][C]36.747[/C][C]1.886[/C][C]0.17[/C][/ROW]
[ROW][C]Treatment_B[/C][C]1[/C][C]388.548[/C][C]388.548[/C][C]19.939[/C][C]0[/C][/ROW]
[ROW][C]Treatment_A:Treatment_B[/C][C]1[/C][C]0.562[/C][C]0.562[/C][C]0.029[/C][C]0.865[/C][/ROW]
[ROW][C]Residuals[/C][C]483[/C][C]9412.184[/C][C]19.487[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267760&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267760&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
1
Treatment_A136.74736.7471.8860.17
Treatment_B1388.548388.54819.9390
Treatment_A:Treatment_B10.5620.5620.0290.865
Residuals4839412.18419.487







Tukey Honest Significant Difference Comparisons
difflwruprp adj
S-B-0.552-1.3410.2380.17
'M'-'F'1.81.0072.5930
S:'F'-B:'F'-0.554-2.1191.010.798
B:'M'-B:'F'1.8770.3453.410.009
S:'M'-B:'F'1.186-0.2652.6360.152
B:'M'-S:'F'2.4320.933.9340
S:'M'-S:'F'1.740.3213.1590.009
S:'M'-B:'M'-0.692-2.0760.6920.57

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
S-B & -0.552 & -1.341 & 0.238 & 0.17 \tabularnewline
'M'-'F' & 1.8 & 1.007 & 2.593 & 0 \tabularnewline
S:'F'-B:'F' & -0.554 & -2.119 & 1.01 & 0.798 \tabularnewline
B:'M'-B:'F' & 1.877 & 0.345 & 3.41 & 0.009 \tabularnewline
S:'M'-B:'F' & 1.186 & -0.265 & 2.636 & 0.152 \tabularnewline
B:'M'-S:'F' & 2.432 & 0.93 & 3.934 & 0 \tabularnewline
S:'M'-S:'F' & 1.74 & 0.321 & 3.159 & 0.009 \tabularnewline
S:'M'-B:'M' & -0.692 & -2.076 & 0.692 & 0.57 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267760&T=3

[TABLE]
[ROW][C]Tukey Honest Significant Difference Comparisons[/C][/ROW]
[ROW][C] [/C][C]diff[/C][C]lwr[/C][C]upr[/C][C]p adj[/C][/ROW]
[ROW][C]S-B[/C][C]-0.552[/C][C]-1.341[/C][C]0.238[/C][C]0.17[/C][/ROW]
[ROW][C]'M'-'F'[/C][C]1.8[/C][C]1.007[/C][C]2.593[/C][C]0[/C][/ROW]
[ROW][C]S:'F'-B:'F'[/C][C]-0.554[/C][C]-2.119[/C][C]1.01[/C][C]0.798[/C][/ROW]
[ROW][C]B:'M'-B:'F'[/C][C]1.877[/C][C]0.345[/C][C]3.41[/C][C]0.009[/C][/ROW]
[ROW][C]S:'M'-B:'F'[/C][C]1.186[/C][C]-0.265[/C][C]2.636[/C][C]0.152[/C][/ROW]
[ROW][C]B:'M'-S:'F'[/C][C]2.432[/C][C]0.93[/C][C]3.934[/C][C]0[/C][/ROW]
[ROW][C]S:'M'-S:'F'[/C][C]1.74[/C][C]0.321[/C][C]3.159[/C][C]0.009[/C][/ROW]
[ROW][C]S:'M'-B:'M'[/C][C]-0.692[/C][C]-2.076[/C][C]0.692[/C][C]0.57[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267760&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267760&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Tukey Honest Significant Difference Comparisons
difflwruprp adj
S-B-0.552-1.3410.2380.17
'M'-'F'1.81.0072.5930
S:'F'-B:'F'-0.554-2.1191.010.798
B:'M'-B:'F'1.8770.3453.410.009
S:'M'-B:'F'1.186-0.2652.6360.152
B:'M'-S:'F'2.4320.933.9340
S:'M'-S:'F'1.740.3213.1590.009
S:'M'-B:'M'-0.692-2.0760.6920.57







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group32.3490.072
483

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 3 & 2.349 & 0.072 \tabularnewline
  & 483 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267760&T=4

[TABLE]
[ROW][C]Levenes Test for Homogeneity of Variance[/C][/ROW]
[ROW][C] [/C][C]Df[/C][C]F value[/C][C]Pr(>F)[/C][/ROW]
[ROW][C]Group[/C][C]3[/C][C]2.349[/C][C]0.072[/C][/ROW]
[ROW][C] [/C][C]483[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267760&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267760&T=4

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group32.3490.072
483



Parameters (Session):
par1 = 3 ; par2 = 1 ; par3 = 2 ; par4 = TRUE ;
Parameters (R input):
par1 = 3 ; par2 = 1 ; par3 = 2 ; par4 = TRUE ;
R code (references can be found in the software module):
par4 <- 'FALSE'
par3 <- '2'
par2 <- '1'
par1 <- '3'
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
cat3 <- as.numeric(par3)
intercept<-as.logical(par4)
x <- t(x)
x1<-as.numeric(x[,cat1])
f1<-as.character(x[,cat2])
f2 <- as.character(x[,cat3])
xdf<-data.frame(x1,f1, f2)
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
(V3 <-dimnames(y)[[1]][cat3])
names(xdf)<-c('Response', 'Treatment_A', 'Treatment_B')
if(intercept == FALSE) (lmxdf<-lm(Response ~ Treatment_A * Treatment_B- 1, data = xdf) ) else (lmxdf<-lm(Response ~ Treatment_A * Treatment_B, data = xdf) )
(aov.xdf<-aov(lmxdf) )
(anova.xdf<-anova(lmxdf) )
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Model', length(lmxdf$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, lmxdf$call['formula'],length(lmxdf$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'means',,TRUE)
for(i in 1:length(lmxdf$coefficients)){
a<-table.element(a, round(lmxdf$coefficients[i], digits=3),,FALSE)
}
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Statistics', 5+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ',,TRUE)
a<-table.element(a, 'Df',,FALSE)
a<-table.element(a, 'Sum Sq',,FALSE)
a<-table.element(a, 'Mean Sq',,FALSE)
a<-table.element(a, 'F value',,FALSE)
a<-table.element(a, 'Pr(>F)',,FALSE)
a<-table.row.end(a)
for(i in 1 : length(rownames(anova.xdf))-1){
a<-table.row.start(a)
a<-table.element(a,rownames(anova.xdf)[i] ,,TRUE)
a<-table.element(a, anova.xdf$Df[1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[i], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[i], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'F value'[i], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Pr(>F)'[i], digits=3),,FALSE)
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a, 'Residuals',,TRUE)
a<-table.element(a, anova.xdf$'Df'[i+1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[i+1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[i+1], digits=3),,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
bitmap(file='anovaplot.png')
boxplot(Response ~ Treatment_A + Treatment_B, data=xdf, xlab=V2, ylab=V1, main='Boxplots of ANOVA Groups')
dev.off()
bitmap(file='designplot.png')
xdf2 <- xdf # to preserve xdf make copy for function
names(xdf2) <- c(V1, V2, V3)
plot.design(xdf2, main='Design Plot of Group Means')
dev.off()
bitmap(file='interactionplot.png')
interaction.plot(xdf$Treatment_A, xdf$Treatment_B, xdf$Response, xlab=V2, ylab=V1, trace.label=V3, main='Possible Interactions Between Anova Groups')
dev.off()
if(intercept==TRUE){
thsd<-TukeyHSD(aov.xdf)
names(thsd) <- c(V2, V3, paste(V2, ':', V3, sep=''))
bitmap(file='TukeyHSDPlot.png')
layout(matrix(c(1,2,3,3), 2,2))
plot(thsd, las=1)
dev.off()
}
if(intercept==TRUE){
ntables<-length(names(thsd))
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tukey Honest Significant Difference Comparisons', 5,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1, TRUE)
for(i in 1:4){
a<-table.element(a,colnames(thsd[[1]])[i], 1, TRUE)
}
a<-table.row.end(a)
for(nt in 1:ntables){
for(i in 1:length(rownames(thsd[[nt]]))){
a<-table.row.start(a)
a<-table.element(a,rownames(thsd[[nt]])[i], 1, TRUE)
for(j in 1:4){
a<-table.element(a,round(thsd[[nt]][i,j], digits=3), 1, FALSE)
}
a<-table.row.end(a)
}
} # end nt
a<-table.end(a)
table.save(a,file='hsdtable.tab')
}#end if hsd tables
if(intercept==FALSE){
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'TukeyHSD Message', 1,TRUE)
a<-table.row.end(a)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Must Include Intercept to use Tukey Test ', 1, FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')
}
library(car)
lt.lmxdf<-levene.test(lmxdf)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Levenes Test for Homogeneity of Variance', 4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ', 1, TRUE)
for (i in 1:3){
a<-table.element(a,names(lt.lmxdf)[i], 1, FALSE)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Group', 1, TRUE)
for (i in 1:3){
a<-table.element(a,round(lt.lmxdf[[i]][1], digits=3), 1, FALSE)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ', 1, TRUE)
a<-table.element(a,lt.lmxdf[[1]][2], 1, FALSE)
a<-table.element(a,' ', 1, FALSE)
a<-table.element(a,' ', 1, FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')