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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 computationMon, 05 Dec 2011 14:09:00 -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/2011/Dec/05/t1323112146u23kpxuwesb8swo.htm/, Retrieved Fri, 03 May 2024 12:03:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=151194, Retrieved Fri, 03 May 2024 12:03:01 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact170
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Two-Way ANOVA] [] [2011-12-05 19:09:00] [c80accbb627afb8a1e74b91ef6a0d2c4] [Current]
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Dataseries X:
1	99.2	96.7	101
1	99	98.1	100.1
1	100	100	100
1	111.6	104.9	90.6
1	122.2	104.9	86.5
1	117.6	109.5	89.7
1	121.1	110.8	90.6
1	136	112.3	82.8
1	154.2	109.3	70.1
1	153.6	105.3	65.4
1	158.5	101.7	61.3
0	140.6	95.4	62.5
0	136.2	96.4	63.6
0	168	97.6	52.6
0	154.3	102.4	59.7
0	149	101.6	59.5
0	165.5	103.8	61.3




\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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \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 [2]
In addition: Warning messages:
1: In qtukey(p, nranges, nmeans, df, lower.tail, log.p) : NaNs produced
2: In qtukey(p, nranges, nmeans, df, lower.tail, log.p) : NaNs produced
Execution halted
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=151194&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/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 [2]
In addition: Warning messages:
1: In qtukey(p, nranges, nmeans, df, lower.tail, log.p) : NaNs produced
2: In qtukey(p, nranges, nmeans, df, lower.tail, log.p) : NaNs produced
Execution halted
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=151194&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151194&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'Herman Ole Andreas Wold' @ wold.wessa.net
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 [2]
In addition: Warning messages:
1: In qtukey(p, nranges, nmeans, df, lower.tail, log.p) : NaNs produced
2: In qtukey(p, nranges, nmeans, df, lower.tail, log.p) : NaNs produced
Execution halted







ANOVA Model
xdf2$X2 ~ xdf2$Y * xdf2$X1
names(Intercept)xdf2$Y1xdf2$X1111.6xdf2$X1117.6xdf2$X1121.1xdf2$X1122.2xdf2$X1136xdf2$X1136.2xdf2$X1140.6xdf2$X1149xdf2$X1153.6xdf2$X1154.2xdf2$X1154.3xdf2$X1158.5xdf2$X1165.5xdf2$X1168xdf2$X199xdf2$X199.2xdf2$Y1:xdf2$X1111.6xdf2$Y1:xdf2$X1117.6xdf2$Y1:xdf2$X1121.1xdf2$Y1:xdf2$X1122.2xdf2$Y1:xdf2$X1136xdf2$Y1:xdf2$X1136.2xdf2$Y1:xdf2$X1140.6xdf2$Y1:xdf2$X1149xdf2$Y1:xdf2$X1153.6xdf2$Y1:xdf2$X1154.2xdf2$Y1:xdf2$X1154.3xdf2$Y1:xdf2$X1158.5xdf2$Y1:xdf2$X1165.5xdf2$Y1:xdf2$X1168xdf2$Y1:xdf2$X199xdf2$Y1:xdf2$X199.2
means97.62.44.99.510.84.912.3-1.2-2.245.39.34.81.76.2NA-1.9-3.3NANANANANANANANANANANANANANANANA

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
xdf2$X2 ~ xdf2$Y * xdf2$X1 \tabularnewline
names & (Intercept) & xdf2$Y1 & xdf2$X1111.6 & xdf2$X1117.6 & xdf2$X1121.1 & xdf2$X1122.2 & xdf2$X1136 & xdf2$X1136.2 & xdf2$X1140.6 & xdf2$X1149 & xdf2$X1153.6 & xdf2$X1154.2 & xdf2$X1154.3 & xdf2$X1158.5 & xdf2$X1165.5 & xdf2$X1168 & xdf2$X199 & xdf2$X199.2 & xdf2$Y1:xdf2$X1111.6 & xdf2$Y1:xdf2$X1117.6 & xdf2$Y1:xdf2$X1121.1 & xdf2$Y1:xdf2$X1122.2 & xdf2$Y1:xdf2$X1136 & xdf2$Y1:xdf2$X1136.2 & xdf2$Y1:xdf2$X1140.6 & xdf2$Y1:xdf2$X1149 & xdf2$Y1:xdf2$X1153.6 & xdf2$Y1:xdf2$X1154.2 & xdf2$Y1:xdf2$X1154.3 & xdf2$Y1:xdf2$X1158.5 & xdf2$Y1:xdf2$X1165.5 & xdf2$Y1:xdf2$X1168 & xdf2$Y1:xdf2$X199 & xdf2$Y1:xdf2$X199.2 \tabularnewline
means & 97.6 & 2.4 & 4.9 & 9.5 & 10.8 & 4.9 & 12.3 & -1.2 & -2.2 & 4 & 5.3 & 9.3 & 4.8 & 1.7 & 6.2 & NA & -1.9 & -3.3 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151194&T=1

[TABLE]
[ROW]ANOVA Model[/C][/ROW]
[ROW]xdf2$X2 ~ xdf2$Y * xdf2$X1[/C][/ROW]
[ROW][C]names[/C][C](Intercept)[/C][C]xdf2$Y1[/C][C]xdf2$X1111.6[/C][C]xdf2$X1117.6[/C][C]xdf2$X1121.1[/C][C]xdf2$X1122.2[/C][C]xdf2$X1136[/C][C]xdf2$X1136.2[/C][C]xdf2$X1140.6[/C][C]xdf2$X1149[/C][C]xdf2$X1153.6[/C][C]xdf2$X1154.2[/C][C]xdf2$X1154.3[/C][C]xdf2$X1158.5[/C][C]xdf2$X1165.5[/C][C]xdf2$X1168[/C][C]xdf2$X199[/C][C]xdf2$X199.2[/C][C]xdf2$Y1:xdf2$X1111.6[/C][C]xdf2$Y1:xdf2$X1117.6[/C][C]xdf2$Y1:xdf2$X1121.1[/C][C]xdf2$Y1:xdf2$X1122.2[/C][C]xdf2$Y1:xdf2$X1136[/C][C]xdf2$Y1:xdf2$X1136.2[/C][C]xdf2$Y1:xdf2$X1140.6[/C][C]xdf2$Y1:xdf2$X1149[/C][C]xdf2$Y1:xdf2$X1153.6[/C][C]xdf2$Y1:xdf2$X1154.2[/C][C]xdf2$Y1:xdf2$X1154.3[/C][C]xdf2$Y1:xdf2$X1158.5[/C][C]xdf2$Y1:xdf2$X1165.5[/C][C]xdf2$Y1:xdf2$X1168[/C][C]xdf2$Y1:xdf2$X199[/C][C]xdf2$Y1:xdf2$X199.2[/C][/ROW]
[ROW][C]means[/C][C]97.6[/C][C]2.4[/C][C]4.9[/C][C]9.5[/C][C]10.8[/C][C]4.9[/C][C]12.3[/C][C]-1.2[/C][C]-2.2[/C][C]4[/C][C]5.3[/C][C]9.3[/C][C]4.8[/C][C]1.7[/C][C]6.2[/C][C]NA[/C][C]-1.9[/C][C]-3.3[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151194&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151194&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$X2 ~ xdf2$Y * xdf2$X1
names(Intercept)xdf2$Y1xdf2$X1111.6xdf2$X1117.6xdf2$X1121.1xdf2$X1122.2xdf2$X1136xdf2$X1136.2xdf2$X1140.6xdf2$X1149xdf2$X1153.6xdf2$X1154.2xdf2$X1154.3xdf2$X1158.5xdf2$X1165.5xdf2$X1168xdf2$X199xdf2$X199.2xdf2$Y1:xdf2$X1111.6xdf2$Y1:xdf2$X1117.6xdf2$Y1:xdf2$X1121.1xdf2$Y1:xdf2$X1122.2xdf2$Y1:xdf2$X1136xdf2$Y1:xdf2$X1136.2xdf2$Y1:xdf2$X1140.6xdf2$Y1:xdf2$X1149xdf2$Y1:xdf2$X1153.6xdf2$Y1:xdf2$X1154.2xdf2$Y1:xdf2$X1154.3xdf2$Y1:xdf2$X1158.5xdf2$Y1:xdf2$X1165.5xdf2$Y1:xdf2$X1168xdf2$Y1:xdf2$X199xdf2$Y1:xdf2$X199.2
means97.62.44.99.510.84.912.3-1.2-2.245.39.34.81.76.2NA-1.9-3.3NANANANANANANANANANANANANANANANA







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
1
xdf2$Y1110.31110.31NaNNaN
xdf2$X11339.322.62NaNNaN
Residuals00NaN

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
 & 1 &  &  &  &  \tabularnewline
xdf2$Y & 1 & 110.31 & 110.31 & NaN & NaN \tabularnewline
xdf2$X1 & 1 & 339.3 & 22.62 & NaN & NaN \tabularnewline
Residuals & 0 & 0 & NaN &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151194&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$Y[/C][C]1[/C][C]110.31[/C][C]110.31[/C][C]NaN[/C][C]NaN[/C][/ROW]
[ROW][C]xdf2$X1[/C][C]1[/C][C]339.3[/C][C]22.62[/C][C]NaN[/C][C]NaN[/C][/ROW]
[ROW][C]Residuals[/C][C]0[/C][C]0[/C][C]NaN[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151194&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151194&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$Y1110.31110.31NaNNaN
xdf2$X11339.322.62NaNNaN
Residuals00NaN



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):
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')