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Author's title

Author*Unverified author*
R Software ModuleIan.Hollidayrwasp_Two Factor ANOVA -V4.wasp
Title produced by softwareVariability
Date of computationFri, 10 Dec 2010 13:36:15 +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/2010/Dec/10/t12919881717t2efhvphm69m5r.htm/, Retrieved Sun, 28 Apr 2024 16:31:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=107670, Retrieved Sun, 28 Apr 2024 16:31:45 +0000
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IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact184
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variability] [Two-Way ANOVA] [2010-11-30 21:42:30] [74be16979710d4c4e7c6647856088456]
-       [Variability] [anova wk09] [2010-12-05 23:43:41] [920d86197c99e892f7cfc71aadebcde0]
-    D      [Variability] [Smoker/non-smoker...] [2010-12-10 13:36:15] [fb39ddc2de7cdbac58bd2783134ca01b] [Current]
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Dataseries X:
4	'SMK'	'hot'
5	'SMK'	'hot'
3	'SMK'	'hot'
4	'SMK'	'hot'
5	'SMK'	'hot'
3	'SMK'	'hot'
7	'SMK'	'hot'
5	'SMK'	'hot'
6	'SMK'	'hot'
3	'SMK'	'hot'
2	'SMK'	'hot'
4	'SMK'	'hot'
5	'SMK'	'hot'
2	'SMK'	'hot'
3	'SMK'	'hot'
6	'SMK'	'hot'
4	'SMK'	'hot'
4	'SMK'	'hot'
6	'SMK'	'hot'
2	'SMK'	'hot'
3	'SMK'	'mild'
5	'SMK'	'mild'
4	'SMK'	'mild'
2	'SMK'	'mild'
7	'SMK'	'mild'
1	'SMK'	'mild'
4	'SMK'	'mild'
4	'SMK'	'mild'
7	'SMK'	'mild'
4	'SMK'	'mild'
3	'SMK'	'mild'
3	'SMK'	'mild'
3	'SMK'	'mild'
3	'SMK'	'mild'
2	'SMK'	'mild'
5	'SMK'	'mild'
5	'SMK'	'mild'
3	'SMK'	'mild'
6	'SMK'	'mild'
2	'SMK'	'mild'
8	'NS'	'hot'
9	'NS'	'hot'
10	'NS'	'hot'
7	'NS'	'hot'
8	'NS'	'hot'
9	'NS'	'hot'
10	'NS'	'hot'
6	'NS'	'hot'
6	'NS'	'hot'
7	'NS'	'hot'
8	'NS'	'hot'
9	'NS'	'hot'
8	'NS'	'hot'
7	'NS'	'hot'
5	'NS'	'hot'
11	'NS'	'hot'
7	'NS'	'hot'
8	'NS'	'hot'
10	'NS'	'hot'
9	'NS'	'hot'
3	'NS'	'mild'
5	'NS'	'mild'
4	'NS'	'mild'
2	'NS'	'mild'
7	'NS'	'mild'
1	'NS'	'mild'
4	'NS'	'mild'
4	'NS'	'mild'
7	'NS'	'mild'
4	'NS'	'mild'
3	'NS'	'mild'
3	'NS'	'mild'
3	'NS'	'mild'
3	'NS'	'mild'
2	'NS'	'mild'
5	'NS'	'mild'
5	'NS'	'mild'
3	'NS'	'mild'
6	'NS'	'mild'
2	'NS'	'mild'




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107670&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107670&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107670&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'George Udny Yule' @ 72.249.76.132







ANOVA Model
xdf2$rate ~ xdf2$status * xdf2$curry
names(Intercept)xdf2$statusSMKxdf2$currymildxdf2$statusSMK:xdf2$currymild
means8.1-3.95-4.33.95

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
xdf2$rate ~ xdf2$status * xdf2$curry \tabularnewline
names & (Intercept) & xdf2$statusSMK & xdf2$currymild & xdf2$statusSMK:xdf2$currymild \tabularnewline
means & 8.1 & -3.95 & -4.3 & 3.95 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107670&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]xdf2$rate ~ xdf2$status * xdf2$curry[/C][/ROW]
[ROW][C]names[/C][C](Intercept)[/C][C]xdf2$statusSMK[/C][C]xdf2$currymild[/C][C]xdf2$statusSMK:xdf2$currymild[/C][/ROW]
[ROW][C]means[/C][C]8.1[/C][C]-3.95[/C][C]-4.3[/C][C]3.95[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107670&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107670&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
xdf2$rate ~ xdf2$status * xdf2$curry
names(Intercept)xdf2$statusSMKxdf2$currymildxdf2$statusSMK:xdf2$currymild
means8.1-3.95-4.33.95







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
1
xdf2$status178.01278.01231.4123.2023e-07
xdf2$curry1108.11108.1143.5314.9751e-09
xdf2$status:xdf2$curry178.01378.01331.4123.2023e-07
Residuals76188.752.4836

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
 & 1 &  &  &  &  \tabularnewline
xdf2$status & 1 & 78.012 & 78.012 & 31.412 & 3.2023e-07 \tabularnewline
xdf2$curry & 1 & 108.11 & 108.11 & 43.531 & 4.9751e-09 \tabularnewline
xdf2$status:xdf2$curry & 1 & 78.013 & 78.013 & 31.412 & 3.2023e-07 \tabularnewline
Residuals & 76 & 188.75 & 2.4836 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107670&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]xdf2$status[/C][C]1[/C][C]78.012[/C][C]78.012[/C][C]31.412[/C][C]3.2023e-07[/C][/ROW]
[ROW][C]xdf2$curry[/C][C]1[/C][C]108.11[/C][C]108.11[/C][C]43.531[/C][C]4.9751e-09[/C][/ROW]
[ROW][C]xdf2$status:xdf2$curry[/C][C]1[/C][C]78.013[/C][C]78.013[/C][C]31.412[/C][C]3.2023e-07[/C][/ROW]
[ROW][C]Residuals[/C][C]76[/C][C]188.75[/C][C]2.4836[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107670&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107670&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
xdf2$status178.01278.01231.4123.2023e-07
xdf2$curry1108.11108.1143.5314.9751e-09
xdf2$status:xdf2$curry178.01378.01331.4123.2023e-07
Residuals76188.752.4836







Tukey Honest Significant Difference Comparisons
difflwruprp adj
SMK-NS-1.975-2.6768-1.27323.2014e-07
mild-hot-2.325-3.0268-1.62324.8841e-09
SMK:hot-NS:hot-3.95-5.2591-2.64092.6334e-13
NS:mild-NS:hot-4.3-5.6091-2.99090
SMK:mild-NS:hot-4.3-5.6091-2.99090
NS:mild-SMK:hot-0.35-1.65910.959070.89586
SMK:mild-SMK:hot-0.35-1.65910.959070.89586
SMK:mild-NS:mild2.6645e-15-1.30911.30911

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
SMK-NS & -1.975 & -2.6768 & -1.2732 & 3.2014e-07 \tabularnewline
mild-hot & -2.325 & -3.0268 & -1.6232 & 4.8841e-09 \tabularnewline
SMK:hot-NS:hot & -3.95 & -5.2591 & -2.6409 & 2.6334e-13 \tabularnewline
NS:mild-NS:hot & -4.3 & -5.6091 & -2.9909 & 0 \tabularnewline
SMK:mild-NS:hot & -4.3 & -5.6091 & -2.9909 & 0 \tabularnewline
NS:mild-SMK:hot & -0.35 & -1.6591 & 0.95907 & 0.89586 \tabularnewline
SMK:mild-SMK:hot & -0.35 & -1.6591 & 0.95907 & 0.89586 \tabularnewline
SMK:mild-NS:mild & 2.6645e-15 & -1.3091 & 1.3091 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107670&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]SMK-NS[/C][C]-1.975[/C][C]-2.6768[/C][C]-1.2732[/C][C]3.2014e-07[/C][/ROW]
[ROW][C]mild-hot[/C][C]-2.325[/C][C]-3.0268[/C][C]-1.6232[/C][C]4.8841e-09[/C][/ROW]
[ROW][C]SMK:hot-NS:hot[/C][C]-3.95[/C][C]-5.2591[/C][C]-2.6409[/C][C]2.6334e-13[/C][/ROW]
[ROW][C]NS:mild-NS:hot[/C][C]-4.3[/C][C]-5.6091[/C][C]-2.9909[/C][C]0[/C][/ROW]
[ROW][C]SMK:mild-NS:hot[/C][C]-4.3[/C][C]-5.6091[/C][C]-2.9909[/C][C]0[/C][/ROW]
[ROW][C]NS:mild-SMK:hot[/C][C]-0.35[/C][C]-1.6591[/C][C]0.95907[/C][C]0.89586[/C][/ROW]
[ROW][C]SMK:mild-SMK:hot[/C][C]-0.35[/C][C]-1.6591[/C][C]0.95907[/C][C]0.89586[/C][/ROW]
[ROW][C]SMK:mild-NS:mild[/C][C]2.6645e-15[/C][C]-1.3091[/C][C]1.3091[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107670&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107670&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
SMK-NS-1.975-2.6768-1.27323.2014e-07
mild-hot-2.325-3.0268-1.62324.8841e-09
SMK:hot-NS:hot-3.95-5.2591-2.64092.6334e-13
NS:mild-NS:hot-4.3-5.6091-2.99090
SMK:mild-NS:hot-4.3-5.6091-2.99090
NS:mild-SMK:hot-0.35-1.65910.959070.89586
SMK:mild-SMK:hot-0.35-1.65910.959070.89586
SMK:mild-NS:mild2.6645e-15-1.30911.30911







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group30.121880.94694
76

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 3 & 0.12188 & 0.94694 \tabularnewline
  & 76 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107670&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]0.12188[/C][C]0.94694[/C][/ROW]
[ROW][C] [/C][C]76[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107670&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107670&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)
Group30.121880.94694
76



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = 3 ; par4 = TRUE ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = 3 ; 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])
mynames<- c(V1, V2, V3)
xdf2<-xdf
names(xdf2)<-mynames
names(xdf)<-c('R', 'A', 'B')
mynames <- c(V1, V2, V3)
if(intercept == FALSE)eval (substitute(lmout<-lm(xdf$R ~ xdf$A * xdf$B- 1, data = xdf), list(xdf=quote(xdf2),R=mynames[1],A=mynames[2],B=mynames[3]) ))else eval(substitute(lmout<-lm(xdf$R ~ xdf$A * xdf$B, data = xdf), list(xdf=quote(xdf2),R=mynames[1],A=mynames[2],B=mynames[3]) ))
oldnames<-names(lmout$coeff)
newnames<-gsub('xdf2$', '', oldnames)
(names(lmout$coeff)<-newnames)
(names(lmout$coefficients)<-newnames)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Model', length(lmout$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
callstr<-gsub('xdf2$', '',as.character(lmout$call$formula))
callstr<-paste(callstr[2], callstr[1], callstr[3])
a<-table.element(a,callstr ,length(lmout$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'names',,TRUE)
for(i in 1:length(lmout$coefficients)){
a<-table.element(a, names(lmout$coefficients[i]),,FALSE)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'means',,TRUE)
for(i in 1:length(lmout$coefficients)){
a<-table.element(a, signif(lmout$coefficients[i], digits=5),,FALSE)
}
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
(aov.xdf<-aov(lmout) )
(anova.xdf<-anova(lmout) )
rownames(anova.xdf)<-gsub('xdf2$','',rownames(anova.xdf))
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$Df[1],,FALSE)
a<-table.element(a, signif(anova.xdf$'Sum Sq'[i], digits=5),,FALSE)
a<-table.element(a, signif(anova.xdf$'Mean Sq'[i], digits=5),,FALSE)
a<-table.element(a, signif(anova.xdf$'F value'[i], digits=5),,FALSE)
a<-table.element(a, signif(anova.xdf$'Pr(>F)'[i], digits=5),,FALSE)
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a, 'Residuals',,TRUE)
a<-table.element(a, anova.xdf$'Df'[i+1],,FALSE)
a<-table.element(a, signif(anova.xdf$'Sum Sq'[i+1], digits=5),,FALSE)
a<-table.element(a, signif(anova.xdf$'Mean Sq'[i+1], digits=5),,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(R ~ A + 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$A, xdf$B, xdf$R, 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(0,0,1,2,1,2,0,0,3,3,3,3), 2,6))
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,signif(thsd[[nt]][i,j], digits=5), 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(lmout)
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,signif(lt.lmxdf[[i]][1], digits=5), 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')