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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 computationThu, 17 Mar 2011 21:00:41 +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/2011/Mar/17/t1300397236cbndb2nvf22j4zv.htm/, Retrieved Thu, 09 May 2024 07:23:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=119771, Retrieved Thu, 09 May 2024 07:23:26 +0000
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IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact210
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]
- R  D    [Variability] [ATTENTION] [2011-03-17 21:00:41] [3ea9f8c2b2d9956aa1d12a9e52402de5] [Current]
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Dataseries X:
646.3	'ATT'	'Control'
635.3	'ATT'	'Control'
626.3	'ATT'	'Control'
568.6	'ATT'	'Control'
851.8	'ATT'	'Control'
724.6	'ATT'	'Control'
942.7	'ATT'	'Control'
751.6	'ATT'	'Control'
738.8	'ATT'	'Control'
643.7	'ATT'	'Control'
729.3	'ATT'	'Control'
1076.3	'ATT'	'Control'
813.3	'ATT'	'Control'
854.2	'ATT'	'Control'
1062.1	'ATT'	'Control'
621.7	'ATT'	'Control'
632.1	'ATT'	'Control'
680.8	'ATT'	'Experimental'
621.5	'ATT'	'Experimental'
715.6	'ATT'	'Experimental'
631.6	'ATT'	'Experimental'
826.2	'ATT'	'Experimental'
716.3	'ATT'	'Experimental'
1081.3	'ATT'	'Experimental'
765.8	'ATT'	'Experimental'
695.3	'ATT'	'Experimental'
689.6	'ATT'	'Experimental'
855.4	'ATT'	'Experimental'
952.4	'ATT'	'Experimental'
901.5	'ATT'	'Experimental'
904.9	'ATT'	'Experimental'
994.5	'ATT'	'Experimental'
660.1	'ATT'	'Experimental'
752.9	'ATT'	'Experimental'
636.0	'INATT'	'Control'
624.1	'INATT'	'Control'
769.0	'INATT'	'Control'
548.2	'INATT'	'Control'
592.1	'INATT'	'Control'
534.1	'INATT'	'Control'
554.9	'INATT'	'Control'
616.1	'INATT'	'Control'
927.2	'INATT'	'Control'
581.3	'INATT'	'Control'
843.6	'INATT'	'Control'
585.0	'INATT'	'Experimental'
631.9	'INATT'	'Experimental'
785.8	'INATT'	'Experimental'
570.9	'INATT'	'Experimental'
604.8	'INATT'	'Experimental'
572.8	'INATT'	'Experimental'
582.0	'INATT'	'Experimental'
758.0	'INATT'	'Experimental'
964.3	'INATT'	'Experimental'
624.3	'INATT'	'Experimental'
834.6	'INATT'	'Experimental'




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

\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' @ www.wessa.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=119771&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' @ www.wessa.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=119771&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=119771&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' @ www.wessa.org







ANOVA Model
xdf2$time ~ xdf2$status * xdf2$word
names(Intercept)xdf2$statusINATTxdf2$wordExperimentalxdf2$statusINATT:xdf2$wordExperimental
means759.92-102.9631-4.8364

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
xdf2$time ~ xdf2$status * xdf2$word \tabularnewline
names & (Intercept) & xdf2$statusINATT & xdf2$wordExperimental & xdf2$statusINATT:xdf2$wordExperimental \tabularnewline
means & 759.92 & -102.96 & 31 & -4.8364 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=119771&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]xdf2$time ~ xdf2$status * xdf2$word[/C][/ROW]
[ROW][C]names[/C][C](Intercept)[/C][C]xdf2$statusINATT[/C][C]xdf2$wordExperimental[/C][C]xdf2$statusINATT:xdf2$wordExperimental[/C][/ROW]
[ROW][C]means[/C][C]759.92[/C][C]-102.96[/C][C]31[/C][C]-4.8364[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=119771&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=119771&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$time ~ xdf2$status * xdf2$word
names(Intercept)xdf2$statusINATTxdf2$wordExperimentalxdf2$statusINATT:xdf2$wordExperimental
means759.92-102.9631-4.8364







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
1
xdf2$status11483201483207.53260.0082977
xdf2$word111855118550.602070.4413
xdf2$status:xdf2$word178.10778.1070.00396670.95002
Residuals52102390019691

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
 & 1 &  &  &  &  \tabularnewline
xdf2$status & 1 & 148320 & 148320 & 7.5326 & 0.0082977 \tabularnewline
xdf2$word & 1 & 11855 & 11855 & 0.60207 & 0.4413 \tabularnewline
xdf2$status:xdf2$word & 1 & 78.107 & 78.107 & 0.0039667 & 0.95002 \tabularnewline
Residuals & 52 & 1023900 & 19691 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=119771&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$status[/C][C]1[/C][C]148320[/C][C]148320[/C][C]7.5326[/C][C]0.0082977[/C][/ROW]
[ROW][C]xdf2$word[/C][C]1[/C][C]11855[/C][C]11855[/C][C]0.60207[/C][C]0.4413[/C][/ROW]
[ROW][C]xdf2$status:xdf2$word[/C][C]1[/C][C]78.107[/C][C]78.107[/C][C]0.0039667[/C][C]0.95002[/C][/ROW]
[ROW][C]Residuals[/C][C]52[/C][C]1023900[/C][C]19691[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=119771&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=119771&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$status11483201483207.53260.0082977
xdf2$word111855118550.602070.4413
xdf2$status:xdf2$word178.10778.1070.00396670.95002
Residuals52102390019691







Tukey Honest Significant Difference Comparisons
difflwruprp adj
INATT-ATT-105.38-182.42-28.3330.0082977
Experimental-Control29.1-46.156104.360.4413
INATT:Control-ATT:Control-102.96-247.0741.1550.24225
ATT:Experimental-ATT:Control31-96.744158.740.91714
INATT:Experimental-ATT:Control-76.796-220.9167.3190.49631
ATT:Experimental-INATT:Control133.96-10.155278.070.077233
INATT:Experimental-INATT:Control26.164-132.64184.970.97174
INATT:Experimental-ATT:Experimental-107.8-251.9136.3190.20672

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
INATT-ATT & -105.38 & -182.42 & -28.333 & 0.0082977 \tabularnewline
Experimental-Control & 29.1 & -46.156 & 104.36 & 0.4413 \tabularnewline
INATT:Control-ATT:Control & -102.96 & -247.07 & 41.155 & 0.24225 \tabularnewline
ATT:Experimental-ATT:Control & 31 & -96.744 & 158.74 & 0.91714 \tabularnewline
INATT:Experimental-ATT:Control & -76.796 & -220.91 & 67.319 & 0.49631 \tabularnewline
ATT:Experimental-INATT:Control & 133.96 & -10.155 & 278.07 & 0.077233 \tabularnewline
INATT:Experimental-INATT:Control & 26.164 & -132.64 & 184.97 & 0.97174 \tabularnewline
INATT:Experimental-ATT:Experimental & -107.8 & -251.91 & 36.319 & 0.20672 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=119771&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]INATT-ATT[/C][C]-105.38[/C][C]-182.42[/C][C]-28.333[/C][C]0.0082977[/C][/ROW]
[ROW][C]Experimental-Control[/C][C]29.1[/C][C]-46.156[/C][C]104.36[/C][C]0.4413[/C][/ROW]
[ROW][C]INATT:Control-ATT:Control[/C][C]-102.96[/C][C]-247.07[/C][C]41.155[/C][C]0.24225[/C][/ROW]
[ROW][C]ATT:Experimental-ATT:Control[/C][C]31[/C][C]-96.744[/C][C]158.74[/C][C]0.91714[/C][/ROW]
[ROW][C]INATT:Experimental-ATT:Control[/C][C]-76.796[/C][C]-220.91[/C][C]67.319[/C][C]0.49631[/C][/ROW]
[ROW][C]ATT:Experimental-INATT:Control[/C][C]133.96[/C][C]-10.155[/C][C]278.07[/C][C]0.077233[/C][/ROW]
[ROW][C]INATT:Experimental-INATT:Control[/C][C]26.164[/C][C]-132.64[/C][C]184.97[/C][C]0.97174[/C][/ROW]
[ROW][C]INATT:Experimental-ATT:Experimental[/C][C]-107.8[/C][C]-251.91[/C][C]36.319[/C][C]0.20672[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=119771&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=119771&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
INATT-ATT-105.38-182.42-28.3330.0082977
Experimental-Control29.1-46.156104.360.4413
INATT:Control-ATT:Control-102.96-247.0741.1550.24225
ATT:Experimental-ATT:Control31-96.744158.740.91714
INATT:Experimental-ATT:Control-76.796-220.9167.3190.49631
ATT:Experimental-INATT:Control133.96-10.155278.070.077233
INATT:Experimental-INATT:Control26.164-132.64184.970.97174
INATT:Experimental-ATT:Experimental-107.8-251.9136.3190.20672







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group30.221790.88083
52

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 3 & 0.22179 & 0.88083 \tabularnewline
  & 52 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=119771&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]0.22179[/C][C]0.88083[/C][/ROW]
[ROW][C] [/C][C]52[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=119771&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=119771&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)
Group30.221790.88083
52



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')