Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software ModuleIan.Hollidayrwasp_Two Factor ANOVA -V4.wasp
Title produced by softwareVariability
Date of computationTue, 31 May 2011 09:20:50 +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/May/31/t1306833394y10tjfxqbgmicf7.htm/, Retrieved Sun, 28 Apr 2024 17:57:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=122648, Retrieved Sun, 28 Apr 2024 17:57:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact138
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] [Two-Way ANOVA] [2010-12-05 18:20:40] [a213e16b9aee3f49d2cb9e790c69a2a0]
- R  D      [Variability] [BPVT and RAD scores] [2011-05-31 09:20:50] [b28e47ad62e67e1893e5b8af389b80c8] [Current]
Feedback Forum

Post a new message
Dataseries X:
-6.5	"m"	"low"
-7.33	"m"	"low"
49.33	"m"	"high"
-11	"m"	"low"
-2.67	"f"	"low"
-8.33	"m"	"low"
9	"m"	"low"
9.67	"f"	"high"
2.33	"m"	"high"
-12.3	"m"	"high"
-6	"f"	"low"
5.67	"m"	"high"
28.33	"f"	"low"
12	"f"	"high"
-2	"m"	"high"
-11.3	"f"	"low"
1.33	"m"	"low"
3	"f"	"low"
-4.67	"f"	"high"
-5	"f"	"high"
-13	"m"	"low"
2.33	"f"	"high"
37.67	"f"	"high"
7.5	"f"	"high"
5	"f"	"low"
-5.67	"m"	"low"
-4	"m"	"high"
30	"f"	"high"
15.33	"f"	"low"
2	"m"	"high"




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Herman Ole Andreas Wold' @ www.yougetit.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 & 4 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ www.yougetit.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122648&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ www.yougetit.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122648&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122648&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 time4 seconds
R Server'Herman Ole Andreas Wold' @ www.yougetit.org







ANOVA Model
xdf2$RAD ~ xdf2$gender * xdf2$BPVT
names(Intercept)xdf2$gendermxdf2$BPVTlowxdf2$genderm:xdf2$BPVTlow
means11.188-5.3261-6.6604-4.3886

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
xdf2$RAD ~ xdf2$gender * xdf2$BPVT \tabularnewline
names & (Intercept) & xdf2$genderm & xdf2$BPVTlow & xdf2$genderm:xdf2$BPVTlow \tabularnewline
means & 11.188 & -5.3261 & -6.6604 & -4.3886 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122648&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]xdf2$RAD ~ xdf2$gender * xdf2$BPVT[/C][/ROW]
[ROW][C]names[/C][C](Intercept)[/C][C]xdf2$genderm[/C][C]xdf2$BPVTlow[/C][C]xdf2$genderm:xdf2$BPVTlow[/C][/ROW]
[ROW][C]means[/C][C]11.188[/C][C]-5.3261[/C][C]-6.6604[/C][C]-4.3886[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122648&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122648&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$RAD ~ xdf2$gender * xdf2$BPVT
names(Intercept)xdf2$gendermxdf2$BPVTlowxdf2$genderm:xdf2$BPVTlow
means11.188-5.3261-6.6604-4.3886







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
1
xdf2$gender1493.37493.372.32240.1396
xdf2$BPVT1585.42585.422.75570.10893
xdf2$gender:xdf2$BPVT135.95135.9510.169230.68417
Residuals265523.5212.44

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
 & 1 &  &  &  &  \tabularnewline
xdf2$gender & 1 & 493.37 & 493.37 & 2.3224 & 0.1396 \tabularnewline
xdf2$BPVT & 1 & 585.42 & 585.42 & 2.7557 & 0.10893 \tabularnewline
xdf2$gender:xdf2$BPVT & 1 & 35.951 & 35.951 & 0.16923 & 0.68417 \tabularnewline
Residuals & 26 & 5523.5 & 212.44 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122648&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$gender[/C][C]1[/C][C]493.37[/C][C]493.37[/C][C]2.3224[/C][C]0.1396[/C][/ROW]
[ROW][C]xdf2$BPVT[/C][C]1[/C][C]585.42[/C][C]585.42[/C][C]2.7557[/C][C]0.10893[/C][/ROW]
[ROW][C]xdf2$gender:xdf2$BPVT[/C][C]1[/C][C]35.951[/C][C]35.951[/C][C]0.16923[/C][C]0.68417[/C][/ROW]
[ROW][C]Residuals[/C][C]26[/C][C]5523.5[/C][C]212.44[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122648&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122648&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$gender1493.37493.372.32240.1396
xdf2$BPVT1585.42585.422.75570.10893
xdf2$gender:xdf2$BPVT135.95135.9510.169230.68417
Residuals265523.5212.44







Tukey Honest Significant Difference Comparisons
difflwruprp adj
m-f-8.1107-19.0512.82930.1396
low-high-8.8153-19.7552.12460.10968
m:high-f:high-5.3261-26.0215.3680.89378
f:low-f:high-6.6604-27.35514.0340.81365
m:low-f:high-16.375-36.3683.61750.13722
f:low-m:high-1.3343-22.70720.0390.99817
m:low-m:high-11.049-31.7439.64530.47235
m:low-f:low-9.7146-30.40910.980.57859

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
m-f & -8.1107 & -19.051 & 2.8293 & 0.1396 \tabularnewline
low-high & -8.8153 & -19.755 & 2.1246 & 0.10968 \tabularnewline
m:high-f:high & -5.3261 & -26.02 & 15.368 & 0.89378 \tabularnewline
f:low-f:high & -6.6604 & -27.355 & 14.034 & 0.81365 \tabularnewline
m:low-f:high & -16.375 & -36.368 & 3.6175 & 0.13722 \tabularnewline
f:low-m:high & -1.3343 & -22.707 & 20.039 & 0.99817 \tabularnewline
m:low-m:high & -11.049 & -31.743 & 9.6453 & 0.47235 \tabularnewline
m:low-f:low & -9.7146 & -30.409 & 10.98 & 0.57859 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122648&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]m-f[/C][C]-8.1107[/C][C]-19.051[/C][C]2.8293[/C][C]0.1396[/C][/ROW]
[ROW][C]low-high[/C][C]-8.8153[/C][C]-19.755[/C][C]2.1246[/C][C]0.10968[/C][/ROW]
[ROW][C]m:high-f:high[/C][C]-5.3261[/C][C]-26.02[/C][C]15.368[/C][C]0.89378[/C][/ROW]
[ROW][C]f:low-f:high[/C][C]-6.6604[/C][C]-27.355[/C][C]14.034[/C][C]0.81365[/C][/ROW]
[ROW][C]m:low-f:high[/C][C]-16.375[/C][C]-36.368[/C][C]3.6175[/C][C]0.13722[/C][/ROW]
[ROW][C]f:low-m:high[/C][C]-1.3343[/C][C]-22.707[/C][C]20.039[/C][C]0.99817[/C][/ROW]
[ROW][C]m:low-m:high[/C][C]-11.049[/C][C]-31.743[/C][C]9.6453[/C][C]0.47235[/C][/ROW]
[ROW][C]m:low-f:low[/C][C]-9.7146[/C][C]-30.409[/C][C]10.98[/C][C]0.57859[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122648&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122648&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
m-f-8.1107-19.0512.82930.1396
low-high-8.8153-19.7552.12460.10968
m:high-f:high-5.3261-26.0215.3680.89378
f:low-f:high-6.6604-27.35514.0340.81365
m:low-f:high-16.375-36.3683.61750.13722
f:low-m:high-1.3343-22.70720.0390.99817
m:low-m:high-11.049-31.7439.64530.47235
m:low-f:low-9.7146-30.40910.980.57859







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group30.595440.62365
26

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 3 & 0.59544 & 0.62365 \tabularnewline
  & 26 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122648&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]0.59544[/C][C]0.62365[/C][/ROW]
[ROW][C] [/C][C]26[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122648&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122648&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)
Group30.595440.62365
26



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')