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Author's title

Author*The author of this computation has been verified*
R Software ModuleIan.Hollidayrwasp_Two Factor ANOVA.wasp
Title produced by softwareAnalysis of Variance Free Statistics Software (Calculator)
Date of computationSat, 06 Mar 2010 05:02:59 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Mar/06/t1267877107gnkwj4rck30r44o.htm/, Retrieved Wed, 30 Nov 2022 08:08:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=74034, Retrieved Wed, 30 Nov 2022 08:08:26 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact246
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Analysis of Variance Free Statistics Software (Calculator)] [PY2224_2009 Exam ...] [2010-03-06 11:29:26] [98fd0e87c3eb04e0cc2efde01dbafab6]
-    D    [Analysis of Variance Free Statistics Software (Calculator)] [PY2224_2009 Exam ...] [2010-03-06 12:02:59] [a9208f4f8d3b118336aae915785f2bd9] [Current]
- R  D      [Two-Way ANOVA] [Adler data] [2010-05-22 19:26:30] [8431b2cca73e677c29fb8bfdfc230859]
-           [Two-Way ANOVA] [] [2010-05-27 10:03:00] [e8bb49267f0b4e611f4778412d0811f2]
- R         [Two-Way ANOVA] [ANOVA with better...] [2010-05-29 09:36:12] [98fd0e87c3eb04e0cc2efde01dbafab6]
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Dataseries X:
'GOOD'	'HIGH'	25
'GOOD'	'HIGH'	0
'GOOD'	'HIGH'	-16
'GOOD'	'HIGH'	5
'GOOD'	'HIGH'	11
'GOOD'	'HIGH'	-6
'GOOD'	'HIGH'	42
'GOOD'	'HIGH'	-2
'GOOD'	'HIGH'	-13
'GOOD'	'HIGH'	14
'GOOD'	'HIGH'	4
'GOOD'	'HIGH'	-22
'GOOD'	'HIGH'	19
'GOOD'	'HIGH'	6
'GOOD'	'HIGH'	-6
'GOOD'	'LOW'	-25
'GOOD'	'LOW'	-23
'GOOD'	'LOW'	-28
'GOOD'	'LOW'	-22
'GOOD'	'LOW'	-22
'GOOD'	'LOW'	-10
'GOOD'	'LOW'	-20
'GOOD'	'LOW'	-24
'GOOD'	'LOW'	-24
'GOOD'	'LOW'	-22
'GOOD'	'LOW'	-23
'GOOD'	'LOW'	-19
'GOOD'	'LOW'	-2
'GOOD'	'LOW'	12
'GOOD'	'LOW'	-8
'GOOD'	'LOW'	-17
'GOOD'	'LOW'	-30
'SCIENTIFIC'	'HIGH'	-19
'SCIENTIFIC'	'HIGH'	-24
'SCIENTIFIC'	'HIGH'	-4
'SCIENTIFIC'	'HIGH'	-24
'SCIENTIFIC'	'HIGH'	0
'SCIENTIFIC'	'HIGH'	-4
'SCIENTIFIC'	'HIGH'	5
'SCIENTIFIC'	'HIGH'	-1
'SCIENTIFIC'	'HIGH'	-9
'SCIENTIFIC'	'HIGH'	-5
'SCIENTIFIC'	'HIGH'	-6
'SCIENTIFIC'	'HIGH'	4
'SCIENTIFIC'	'HIGH'	-13
'SCIENTIFIC'	'HIGH'	-1
'SCIENTIFIC'	'HIGH'	-3
'SCIENTIFIC'	'HIGH'	-11
'SCIENTIFIC'	'HIGH'	-6
'SCIENTIFIC'	'HIGH'	-4
'SCIENTIFIC'	'LOW'	6
'SCIENTIFIC'	'LOW'	-5
'SCIENTIFIC'	'LOW'	14
'SCIENTIFIC'	'LOW'	-11
'SCIENTIFIC'	'LOW'	14
'SCIENTIFIC'	'LOW'	-5
'SCIENTIFIC'	'LOW'	-22
'SCIENTIFIC'	'LOW'	7
'SCIENTIFIC'	'LOW'	14
'SCIENTIFIC'	'LOW'	15
'SCIENTIFIC'	'LOW'	-6
'SCIENTIFIC'	'LOW'	9
'SCIENTIFIC'	'LOW'	-5
'NONE'	'HIGH'	-26
'NONE'	'HIGH'	-1
'NONE'	'HIGH'	22
'NONE'	'HIGH'	3
'NONE'	'HIGH'	-26
'NONE'	'HIGH'	4
'NONE'	'HIGH'	-21
'NONE'	'HIGH'	-19
'NONE'	'HIGH'	-12
'NONE'	'HIGH'	9
'NONE'	'HIGH'	-9
'NONE'	'HIGH'	-27
'NONE'	'HIGH'	-10
'NONE'	'HIGH'	-37
'NONE'	'HIGH'	0
'NONE'	'HIGH'	-10
'NONE'	'LOW'	-12
'NONE'	'LOW'	-4
'NONE'	'LOW'	13
'NONE'	'LOW'	-27
'NONE'	'LOW'	-7
'NONE'	'LOW'	-20
'NONE'	'LOW'	-4
'NONE'	'LOW'	-10
'NONE'	'LOW'	-3
'NONE'	'LOW'	-11
'NONE'	'LOW'	2
'NONE'	'LOW'	-9
'NONE'	'LOW'	20
'NONE'	'LOW'	9
'NONE'	'LOW'	-8
'NONE'	'LOW'	8
'NONE'	'LOW'	-6
'NONE'	'LOW'	6




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74034&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=74034&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74034&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'Gwilym Jenkins' @ 72.249.127.135







ANOVA Model
Response ~ Treatment_A * Treatment_B
means4.067-22.125-14.067-11.01128.62530.993

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Response ~ Treatment_A * Treatment_B \tabularnewline
means & 4.067 & -22.125 & -14.067 & -11.011 & 28.625 & 30.993 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74034&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Response ~ Treatment_A * Treatment_B[/C][/ROW]
[ROW][C]means[/C][C]4.067[/C][C]-22.125[/C][C]-14.067[/C][C]-11.011[/C][C]28.625[/C][C]30.993[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=74034&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74034&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
means4.067-22.125-14.067-11.01128.62530.993







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
1
Treatment_A1165.945165.9451.0420.31
Treatment_B1295.635147.8170.9280.399
Treatment_A:Treatment_B14729.4362364.71814.8440
Residuals9114496.242159.299

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
 & 1 &  &  &  &  \tabularnewline
Treatment_A & 1 & 165.945 & 165.945 & 1.042 & 0.31 \tabularnewline
Treatment_B & 1 & 295.635 & 147.817 & 0.928 & 0.399 \tabularnewline
Treatment_A:Treatment_B & 1 & 4729.436 & 2364.718 & 14.844 & 0 \tabularnewline
Residuals & 91 & 14496.242 & 159.299 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74034&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]165.945[/C][C]165.945[/C][C]1.042[/C][C]0.31[/C][/ROW]
[ROW][C]Treatment_B[/C][C]1[/C][C]295.635[/C][C]147.817[/C][C]0.928[/C][C]0.399[/C][/ROW]
[ROW][C]Treatment_A:Treatment_B[/C][C]1[/C][C]4729.436[/C][C]2364.718[/C][C]14.844[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]91[/C][C]14496.242[/C][C]159.299[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=74034&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74034&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_A1165.945165.9451.0420.31
Treatment_B1295.635147.8170.9280.399
Treatment_A:Treatment_B14729.4362364.71814.8440
Residuals9114496.242159.299







Tukey Honest Significant Difference Comparisons
difflwruprp adj
LOW-HIGH-2.616-7.7072.4750.31
NONE-GOOD1.124-6.2838.5310.931
SCIENTIFIC-GOOD4.169-3.4111.7470.393
SCIENTIFIC-NONE3.045-4.42310.5130.597
LOW:GOOD-HIGH:GOOD-22.125-35.142-9.1090
HIGH:NONE-HIGH:GOOD-14.067-27.273-0.8610.03
LOW:NONE-HIGH:GOOD-7.567-20.4135.280.526
HIGH:SCIENTIFIC-HIGH:GOOD-11.011-23.8571.8350.136
LOW:SCIENTIFIC-HIGH:GOOD-2.144-16.06811.780.998
HIGH:NONE-LOW:GOOD8.059-4.7420.8580.45
LOW:NONE-LOW:GOOD14.5592.13226.9860.012
HIGH:SCIENTIFIC-LOW:GOOD11.114-1.31323.5420.107
LOW:SCIENTIFIC-LOW:GOOD19.9826.44433.520.001
LOW:NONE-HIGH:NONE6.5-6.12519.1250.666
HIGH:SCIENTIFIC-HIGH:NONE3.056-9.5715.6810.981
LOW:SCIENTIFIC-HIGH:NONE11.923-1.79725.6430.126
HIGH:SCIENTIFIC-LOW:NONE-3.444-15.6938.8040.963
LOW:SCIENTIFIC-LOW:NONE5.423-7.95118.7970.845
LOW:SCIENTIFIC-HIGH:SCIENTIFIC8.868-4.50722.2420.391

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
LOW-HIGH & -2.616 & -7.707 & 2.475 & 0.31 \tabularnewline
NONE-GOOD & 1.124 & -6.283 & 8.531 & 0.931 \tabularnewline
SCIENTIFIC-GOOD & 4.169 & -3.41 & 11.747 & 0.393 \tabularnewline
SCIENTIFIC-NONE & 3.045 & -4.423 & 10.513 & 0.597 \tabularnewline
LOW:GOOD-HIGH:GOOD & -22.125 & -35.142 & -9.109 & 0 \tabularnewline
HIGH:NONE-HIGH:GOOD & -14.067 & -27.273 & -0.861 & 0.03 \tabularnewline
LOW:NONE-HIGH:GOOD & -7.567 & -20.413 & 5.28 & 0.526 \tabularnewline
HIGH:SCIENTIFIC-HIGH:GOOD & -11.011 & -23.857 & 1.835 & 0.136 \tabularnewline
LOW:SCIENTIFIC-HIGH:GOOD & -2.144 & -16.068 & 11.78 & 0.998 \tabularnewline
HIGH:NONE-LOW:GOOD & 8.059 & -4.74 & 20.858 & 0.45 \tabularnewline
LOW:NONE-LOW:GOOD & 14.559 & 2.132 & 26.986 & 0.012 \tabularnewline
HIGH:SCIENTIFIC-LOW:GOOD & 11.114 & -1.313 & 23.542 & 0.107 \tabularnewline
LOW:SCIENTIFIC-LOW:GOOD & 19.982 & 6.444 & 33.52 & 0.001 \tabularnewline
LOW:NONE-HIGH:NONE & 6.5 & -6.125 & 19.125 & 0.666 \tabularnewline
HIGH:SCIENTIFIC-HIGH:NONE & 3.056 & -9.57 & 15.681 & 0.981 \tabularnewline
LOW:SCIENTIFIC-HIGH:NONE & 11.923 & -1.797 & 25.643 & 0.126 \tabularnewline
HIGH:SCIENTIFIC-LOW:NONE & -3.444 & -15.693 & 8.804 & 0.963 \tabularnewline
LOW:SCIENTIFIC-LOW:NONE & 5.423 & -7.951 & 18.797 & 0.845 \tabularnewline
LOW:SCIENTIFIC-HIGH:SCIENTIFIC & 8.868 & -4.507 & 22.242 & 0.391 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74034&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]LOW-HIGH[/C][C]-2.616[/C][C]-7.707[/C][C]2.475[/C][C]0.31[/C][/ROW]
[ROW][C]NONE-GOOD[/C][C]1.124[/C][C]-6.283[/C][C]8.531[/C][C]0.931[/C][/ROW]
[ROW][C]SCIENTIFIC-GOOD[/C][C]4.169[/C][C]-3.41[/C][C]11.747[/C][C]0.393[/C][/ROW]
[ROW][C]SCIENTIFIC-NONE[/C][C]3.045[/C][C]-4.423[/C][C]10.513[/C][C]0.597[/C][/ROW]
[ROW][C]LOW:GOOD-HIGH:GOOD[/C][C]-22.125[/C][C]-35.142[/C][C]-9.109[/C][C]0[/C][/ROW]
[ROW][C]HIGH:NONE-HIGH:GOOD[/C][C]-14.067[/C][C]-27.273[/C][C]-0.861[/C][C]0.03[/C][/ROW]
[ROW][C]LOW:NONE-HIGH:GOOD[/C][C]-7.567[/C][C]-20.413[/C][C]5.28[/C][C]0.526[/C][/ROW]
[ROW][C]HIGH:SCIENTIFIC-HIGH:GOOD[/C][C]-11.011[/C][C]-23.857[/C][C]1.835[/C][C]0.136[/C][/ROW]
[ROW][C]LOW:SCIENTIFIC-HIGH:GOOD[/C][C]-2.144[/C][C]-16.068[/C][C]11.78[/C][C]0.998[/C][/ROW]
[ROW][C]HIGH:NONE-LOW:GOOD[/C][C]8.059[/C][C]-4.74[/C][C]20.858[/C][C]0.45[/C][/ROW]
[ROW][C]LOW:NONE-LOW:GOOD[/C][C]14.559[/C][C]2.132[/C][C]26.986[/C][C]0.012[/C][/ROW]
[ROW][C]HIGH:SCIENTIFIC-LOW:GOOD[/C][C]11.114[/C][C]-1.313[/C][C]23.542[/C][C]0.107[/C][/ROW]
[ROW][C]LOW:SCIENTIFIC-LOW:GOOD[/C][C]19.982[/C][C]6.444[/C][C]33.52[/C][C]0.001[/C][/ROW]
[ROW][C]LOW:NONE-HIGH:NONE[/C][C]6.5[/C][C]-6.125[/C][C]19.125[/C][C]0.666[/C][/ROW]
[ROW][C]HIGH:SCIENTIFIC-HIGH:NONE[/C][C]3.056[/C][C]-9.57[/C][C]15.681[/C][C]0.981[/C][/ROW]
[ROW][C]LOW:SCIENTIFIC-HIGH:NONE[/C][C]11.923[/C][C]-1.797[/C][C]25.643[/C][C]0.126[/C][/ROW]
[ROW][C]HIGH:SCIENTIFIC-LOW:NONE[/C][C]-3.444[/C][C]-15.693[/C][C]8.804[/C][C]0.963[/C][/ROW]
[ROW][C]LOW:SCIENTIFIC-LOW:NONE[/C][C]5.423[/C][C]-7.951[/C][C]18.797[/C][C]0.845[/C][/ROW]
[ROW][C]LOW:SCIENTIFIC-HIGH:SCIENTIFIC[/C][C]8.868[/C][C]-4.507[/C][C]22.242[/C][C]0.391[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=74034&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74034&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
LOW-HIGH-2.616-7.7072.4750.31
NONE-GOOD1.124-6.2838.5310.931
SCIENTIFIC-GOOD4.169-3.4111.7470.393
SCIENTIFIC-NONE3.045-4.42310.5130.597
LOW:GOOD-HIGH:GOOD-22.125-35.142-9.1090
HIGH:NONE-HIGH:GOOD-14.067-27.273-0.8610.03
LOW:NONE-HIGH:GOOD-7.567-20.4135.280.526
HIGH:SCIENTIFIC-HIGH:GOOD-11.011-23.8571.8350.136
LOW:SCIENTIFIC-HIGH:GOOD-2.144-16.06811.780.998
HIGH:NONE-LOW:GOOD8.059-4.7420.8580.45
LOW:NONE-LOW:GOOD14.5592.13226.9860.012
HIGH:SCIENTIFIC-LOW:GOOD11.114-1.31323.5420.107
LOW:SCIENTIFIC-LOW:GOOD19.9826.44433.520.001
LOW:NONE-HIGH:NONE6.5-6.12519.1250.666
HIGH:SCIENTIFIC-HIGH:NONE3.056-9.5715.6810.981
LOW:SCIENTIFIC-HIGH:NONE11.923-1.79725.6430.126
HIGH:SCIENTIFIC-LOW:NONE-3.444-15.6938.8040.963
LOW:SCIENTIFIC-LOW:NONE5.423-7.95118.7970.845
LOW:SCIENTIFIC-HIGH:SCIENTIFIC8.868-4.50722.2420.391







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group51.7310.135
91

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 5 & 1.731 & 0.135 \tabularnewline
  & 91 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=74034&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]5[/C][C]1.731[/C][C]0.135[/C][/ROW]
[ROW][C] [/C][C]91[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=74034&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=74034&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)
Group51.7310.135
91



Parameters (Session):
par1 = 3 ; par2 = 2 ; par3 = 1 ; par4 = TRUE ;
Parameters (R input):
par1 = 3 ; par2 = 2 ; par3 = 1 ; par4 = TRUE ;
R code (references can be found in the software module):
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')