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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 computationFri, 14 Dec 2012 11:46:59 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/14/t1355503633yqkgy5bif93b0vi.htm/, Retrieved Fri, 26 Apr 2024 01:40:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=199686, Retrieved Fri, 26 Apr 2024 01:40:31 +0000
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Estimated Impact78
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-     [Two-Way ANOVA] [] [2010-11-02 14:42:14] [b98453cac15ba1066b407e146608df68]
- R P   [Two-Way ANOVA] [] [2012-12-09 15:29:55] [c5439e3d68865f12e8f66507a7e773a8]
- R PD      [Two-Way ANOVA] [] [2012-12-14 16:46:59] [c8e18a68d7e55abb9d5b5bbd2b98426e] [Current]
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Dataseries X:
2	1	'Treatment'	0	0	1
2	0	'NoTreatment'	0	0	0
2	0	'NoTreatment'	0	0	0
2	0	'NoTreatment'	0	0	0
2	0	'NoTreatment'	0	0	0
2	1	'NoTreatment'	0	0	1
2	0	'NoTreatment'	0	0	0
2	0	'Treatment'	0	0	0
2	0	'NoTreatment'	0	0	1
2	1	'NoTreatment'	0	0	0
2	1	'Treatment'	0	0	0
2	0	'NoTreatment'	0	0	0
2	0	'NoTreatment'	1	0	0
2	1	'Treatment'	0	0	0
2	0	'NoTreatment'	1	0	1
2	0	'Treatment'	1	0	1
2	1	'Treatment'	1	1	0
2	1	'Treatment'	0	0	0
2	0	'NoTreatment'	0	0	1
2	0	'Treatment'	1	1	1
2	1	'NoTreatment'	0	0	0
2	1	'NoTreatment'	1	0	1
2	0	'NoTreatment'	0	0	1
2	1	'NoTreatment'	0	0	1
2	0	'Treatment'	1	0	1
2	0	'NoTreatment'	1	0	0
2	1	'NoTreatment'	0	0	1
2	0	'NoTreatment'	1	0	0
2	0	'NoTreatment'	0	0	1
2	0	'NoTreatment'	0	0	0
2	0	'NoTreatment'	0	0	0
2	1	'NoTreatment'	0	0	0
2	1	'NoTreatment'	0	0	0
2	0	'Treatment'	0	0	1
2	0	'NoTreatment'	0	0	0
2	0	'NoTreatment'	0	0	0
2	1	'Treatment'	1	0	0
2	0	'NoTreatment'	1	0	1
2	0	'NoTreatment'	0	0	1
2	0	'Treatment'	0	0	0
2	0	'NoTreatment'	1	1	1
2	0	'NoTreatment'	1	0	1
2	1	'NoTreatment'	0	0	1
2	1	'Treatment'	0	0	0
2	0	'NoTreatment'	0	0	0
2	0	'NoTreatment'	0	0	1
2	0	'NoTreatment'	0	0	0
2	0	'NoTreatment'	0	0	1
2	0	'NoTreatment'	0	0	1
2	0	'NoTreatment'	0	0	0
2	0	'Treatment'	1	0	0
2	1	'Treatment'	1	1	0
2	0	'NoTreatment'	0	0	1
2	0	'NoTreatment'	1	1	0
2	0	'NoTreatment'	0	0	0
2	0	'Treatment'	1	0	1
2	0	'NoTreatment'	1	0	1
2	0	'NoTreatment'	0	0	1
2	0	'NoTreatment'	0	0	1
2	1	'Treatment'	1	1	1
2	1	'Treatment'	0	0	1
2	0	'NoTreatment'	1	0	0
2	0	'NoTreatment'	0	0	0
2	1	'Treatment'	0	0	1
2	0	'NoTreatment'	0	0	0
2	0	'NoTreatment'	0	0	0
2	0	'Treatment'	1	1	0
2	1	'NoTreatment'	0	0	0
2	0	'NoTreatment'	0	0	1
2	0	'NoTreatment'	1	0	0
2	0	'NoTreatment'	0	0	0
2	0	'NoTreatment'	0	0	1
2	0	'NoTreatment'	1	0	1
2	1	'NoTreatment'	1	0	0
2	0	'NoTreatment'	0	0	1
2	0	'Treatment'	0	0	1
2	0	'NoTreatment'	0	0	1
2	0	'NoTreatment'	1	0	1
2	0	'Treatment'	1	1	1
2	0	'Treatment'	0	0	0
2	0	'NoTreatment'	0	0	0
2	1	'NoTreatment'	1	0	1
2	0	'NoTreatment'	0	0	0
2	0	'NoTreatment'	1	1	0
2	0	'NoTreatment'	0	0	1
2	1	'NoTreatment'	0	0	0
1	1	'NoTreatment'	0	0	1
1	1	'Treatment'	1	0	1
1	0	'NoTreatment'	0	0	0
1	0	'NoTreatment'	0	0	1
1	0	'NoTreatment'	0	0	0
1	1	'Treatment'	0	0	0
1	1	'NoTreatment'	0	0	0
1	0	'NoTreatment'	0	0	0
1	0	'Treatment'	0	0	0
1	0	'NoTreatment'	0	0	1
1	1	'Treatment'	0	0	0
1	0	'NoTreatment'	0	0	0
1	1	'NoTreatment'	0	0	0
1	0	'NoTreatment'	0	0	1
1	1	'NoTreatment'	0	0	1
1	0	'NoTreatment'	0	0	0
1	0	'NoTreatment'	0	0	0
1	0	'NoTreatment'	0	0	0
1	0	'Treatment'	1	0	0
1	0	'NoTreatment'	0	0	0
1	0	'NoTreatment'	0	0	0
1	1	'Treatment'	1	0	0
1	0	'NoTreatment'	0	0	0
1	1	'NoTreatment'	0	0	0
1	1	'Treatment'	1	0	0
1	0	'Treatment'	0	0	0
1	0	'NoTreatment'	1	0	0
1	1	'Treatment'	1	0	0
1	1	'NoTreatment'	0	0	0
1	0	'NoTreatment'	0	0	0
1	1	'NoTreatment'	0	0	1
1	1	'NoTreatment'	0	0	0
1	0	'NoTreatment'	0	0	0
1	0	'NoTreatment'	0	0	1
1	1	'NoTreatment'	0	0	0
1	0	'NoTreatment'	0	0	0
1	1	'Treatment'	1	0	0
1	0	'NoTreatment'	1	0	1
1	0	'NoTreatment'	0	0	1
1	0	'Treatment'	0	0	0
1	0	'NoTreatment'	0	0	0
1	0	'NoTreatment'	0	0	1
1	0	'NoTreatment'	0	0	0
1	0	'NoTreatment'	0	0	1
1	1	'NoTreatment'	0	0	0
1	1	'NoTreatment'	0	0	1
1	1	'NoTreatment'	1	0	0
1	0	'NoTreatment'	0	0	0
1	0	'NoTreatment'	0	0	0
1	0	'NoTreatment'	0	0	0
1	1	'NoTreatment'	1	0	1
1	1	'Treatment'	1	0	1
1	0	'Treatment'	0	0	0
1	0	'NoTreatment'	0	0	0
1	0	'NoTreatment'	1	1	1
1	0	'Treatment'	1	0	1
1	1	'NoTreatment'	0	0	0
1	0	'NoTreatment'	0	0	1
1	0	'NoTreatment'	0	0	0
1	0	'Treatment'	0	0	1
1	0	'Treatment'	1	0	0
1	0	'Treatment'	0	0	0
1	1	'NoTreatment'	0	0	0
1	0	'NoTreatment'	0	0	1
1	0	'NoTreatment'	0	0	1
1	1	'NoTreatment'	1	1	0
1	1	'NoTreatment'	1	1	0
1	1	'NoTreatment'	1	0	0




\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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
R Framework error message & 
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.
\tabularnewline R Engine error message &
Error in names(thsd) <- c(V2, V3, paste(V2, ":", V3, sep = "")) : 
  'names' attribute [3] must be the same length as the vector [1]
Execution halted
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=199686&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.
[/C][/ROW] [ROW][C]R Engine error message[/C][C]
Error in names(thsd) <- c(V2, V3, paste(V2, ":", V3, sep = "")) : 
  'names' attribute [3] must be the same length as the vector [1]
Execution halted
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=199686&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=199686&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 time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net
R Framework error message
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.
R Engine error message
Error in names(thsd) <- c(V2, V3, paste(V2, ":", V3, sep = "")) : 
  'names' attribute [3] must be the same length as the vector [1]
Execution halted







ANOVA Model
Response ~ Treatment_A * Treatment_B
means0.404-0.029NANA

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Response ~ Treatment_A * Treatment_B \tabularnewline
means & 0.404 & -0.029 & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=199686&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Response ~ Treatment_A * Treatment_B[/C][/ROW]
[ROW][C]means[/C][C]0.404[/C][C]-0.029[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=199686&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=199686&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
means0.404-0.029NANA







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
1
Treatment_A10.0240.0240.0990.753
Residuals15236.8140.242

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
 & 1 &  &  &  &  \tabularnewline
Treatment_A & 1 & 0.024 & 0.024 & 0.099 & 0.753 \tabularnewline
Residuals & 152 & 36.814 & 0.242 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=199686&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]0.024[/C][C]0.024[/C][C]0.099[/C][C]0.753[/C][/ROW]
[ROW][C]Residuals[/C][C]152[/C][C]36.814[/C][C]0.242[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=199686&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=199686&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_A10.0240.0240.0990.753
Residuals15236.8140.242



Parameters (Session):
par1 = 6 ; par2 = 3 ; par3 = 3 ; par4 = TRUE ;
Parameters (R input):
par1 = 6 ; par2 = 3 ; par3 = 3 ; par4 = TRUE ;
R code (references can be found in the software module):
par4 <- 'TRUE'
par3 <- '3'
par2 <- '3'
par1 <- '6'
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')