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Author*The author of this computation has been verified*
R Software Modulerwasp_One Factor ANOVA.wasp
Title produced by softwareOne-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)
Date of computationMon, 15 Dec 2014 00:51:38 +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/2014/Dec/15/t1418604925p3xx19q4ninbia5.htm/, Retrieved Thu, 16 May 2024 15:17:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267937, Retrieved Thu, 16 May 2024 15:17:47 +0000
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-       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [ANOVA Jaar - Eind...] [2014-12-15 00:51:38] [56a3e0974002d1c8d48b4dd203e70051] [Current]
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Dataseries X:
2011 12.9
2011 7.4
2011 12.2
2011 12.8
2011 7.4
2011 6.7
2011 12.6
2011 14.8
2011 13.3
2011 11.1
2011 8.2
2011 11.4
2011 6.4
2011 10.6
2011 12.0
2011 6.3
2011 11.3
2011 11.9
2011 9.3
2011 9.6
2011 10.0
2011 13.8
2011 10.8
2011 13.8
2011 11.7
2011 10.9
2011 16.1
2011 13.4
2011 9.9
2011 11.5
2011 8.3
2011 11.7
2011 9.0
2011 9.7
2011 10.8
2011 10.3
2011 10.4
2011 12.7
2011 9.3
2011 11.8
2011 5.9
2011 11.4
2011 13.0
2011 10.8
2011 12.3
2011 11.3
2011 11.8
2011 7.9
2011 12.7
2011 12.3
2011 11.6
2011 6.7
2011 10.9
2011 12.1
2011 13.3
2011 10.1
2011 5.7
2011 14.3
2011 8.0
2011 13.3
2011 9.3
2011 12.5
2011 7.6
2011 15.9
2011 9.2
2011 9.1
2011 11.1
2011 13.0
2011 14.5
2011 12.2
2011 12.3
2011 11.4
2011 8.8
2011 14.6
2011 7.3
2011 12.6
2011 NA
2011 13.0
2011 12.6
2011 13.2
2011 9.9
2011 7.7
2011 10.5
2011 13.4
2011 10.9
2011 4.3
2011 10.3
2011 11.8
2011 11.2
2011 11.4
2011 8.6
2011 13.2
2011 12.6
2011 5.6
2011 9.9
2011 8.8
2011 7.7
2011 9.0
2011 7.3
2011 11.4
2011 13.6
2011 7.9
2011 10.7
2011 10.3
2011 8.3
2011 9.6
2011 14.2
2011 8.5
2011 13.5
2011 4.9
2011 6.4
2011 9.6
2011 11.6
2011 11.1
2012 4.35
2012 12.7
2012 18.1
2012 17.85
2012 16.6
2012 12.6
2012 17.1
2012 19.1
2012 16.1
2012 13.35
2012 18.4
2012 14.7
2012 10.6
2012 12.6
2012 16.2
2012 13.6
2012 18.9
2012 14.1
2012 14.5
2012 16.15
2012 14.75
2012 14.8
2012 12.45
2012 12.65
2012 17.35
2012 8.6
2012 18.4
2012 16.1
2012 11.6
2012 17.75
2012 15.25
2012 17.65
2012 15.6
2012 16.35
2012 17.65
2012 13.6
2012 11.7
2012 14.35
2012 14.75
2012 18.25
2012 9.9
2012 16
2012 18.25
2012 16.85
2012 14.6
2012 13.85
2012 18.95
2012 15.6
2012 14.85
2012 11.75
2012 18.45
2012 15.9
2012 17.1
2012 16.1
2012 19.9
2012 10.95
2012 18.45
2012 15.1
2012 15
2012 11.35
2012 15.95
2012 18.1
2012 14.6
2012 15.4
2012 15.4
2012 17.6
2012 13.35
2012 19.1
2012 15.35
2012 7.6
2012 13.4
2012 13.9
2012 19.1
2012 15.25
2012 12.9
2012 16.1
2012 17.35
2012 13.15
2012 12.15
2012 12.6
2012 10.35
2012 15.4
2012 9.6
2012 18.2
2012 13.6
2012 14.85
2012 14.75
2012 14.1
2012 14.9
2012 16.25
2012 19.25
2012 13.6
2012 13.6
2012 15.65
2012 12.75
2012 14.6
2012 9.85
2012 12.65
2012 11.9
2012 19.2
2012 16.6
2012 11.2
2012 15.25
2012 11.9
2012 13.2
2012 16.35
2012 12.4
2012 15.85
2012 14.35
2012 18.15
2012 11.15
2012 15.65
2012 17.75
2012 7.65
2012 12.35
2012 15.6
2012 19.3
2012 15.2
2012 17.1
2012 15.6
2012 18.4
2012 19.05
2012 18.55
2012 19.1
2012 13.1
2012 12.85
2012 9.5
2012 4.5
2012 11.85
2012 13.6
2012 11.7
2012 12.4
2012 13.35
2012 11.4
2012 14.9
2012 19.9
2012 17.75
2012 11.2
2012 14.6
2012 17.6
2012 14.05
2012 16.1
2012 13.35
2012 11.85
2012 11.95
2012 14.75
2012 15.15
2012 13.2
2012 16.85
2012 7.85
2012 7.7
2012 12.6
2012 7.85
2012 10.95
2012 12.35
2012 9.95
2012 14.9
2012 16.65
2012 13.4
2012 13.95
2012 15.7
2012 16.85
2012 10.95
2012 15.35
2012 12.2
2012 15.1
2012 17.75
2012 15.2
2012 14.6
2012 16.65
2012 8.1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267937&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267937&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267937&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'Gwilym Jenkins' @ jenkins.wessa.net







ANOVA Model
TOT ~ Year
means10.6673.843

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
TOT  ~  Year \tabularnewline
means & 10.667 & 3.843 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267937&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]TOT  ~  Year[/C][/ROW]
[ROW][C]means[/C][C]10.667[/C][C]3.843[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267937&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267937&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
TOT ~ Year
means10.6673.843







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Year11004.8281004.828126.440
Residuals2822241.0837.947

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Year & 1 & 1004.828 & 1004.828 & 126.44 & 0 \tabularnewline
Residuals & 282 & 2241.083 & 7.947 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267937&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]Year[/C][C]1[/C][C]1004.828[/C][C]1004.828[/C][C]126.44[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]282[/C][C]2241.083[/C][C]7.947[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267937&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267937&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)
Year11004.8281004.828126.440
Residuals2822241.0837.947







Tukey Honest Significant Difference Comparisons
difflwruprp adj
2012-20113.8433.174.5160

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2012-2011 & 3.843 & 3.17 & 4.516 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267937&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]2012-2011[/C][C]3.843[/C][C]3.17[/C][C]4.516[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267937&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267937&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
2012-20113.8433.174.5160







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group13.2980.07
282

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 1 & 3.298 & 0.07 \tabularnewline
  & 282 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267937&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]1[/C][C]3.298[/C][C]0.07[/C][/ROW]
[ROW][C] [/C][C]282[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267937&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267937&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)
Group13.2980.07
282



Parameters (Session):
par1 = 2 ; par2 = 1 ; par3 = TRUE ;
Parameters (R input):
par1 = 2 ; par2 = 1 ; par3 = TRUE ;
R code (references can be found in the software module):
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
intercept<-as.logical(par3)
x <- t(x)
x1<-as.numeric(x[,cat1])
f1<-as.character(x[,cat2])
xdf<-data.frame(x1,f1)
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
names(xdf)<-c('Response', 'Treatment')
if(intercept == FALSE) (lmxdf<-lm(Response ~ Treatment - 1, data = xdf) ) else (lmxdf<-lm(Response ~ Treatment, 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$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, paste(V1, ' ~ ', V2), length(lmxdf$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)
a<-table.row.start(a)
a<-table.element(a, V2,,TRUE)
a<-table.element(a, anova.xdf$Df[1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'F value'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Pr(>F)'[1], digits=3),,FALSE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residuals',,TRUE)
a<-table.element(a, anova.xdf$Df[2],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[2], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[2], 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, data=xdf, xlab=V2, ylab=V1)
dev.off()
if(intercept==TRUE){
'Tukey Plot'
thsd<-TukeyHSD(aov.xdf)
bitmap(file='TukeyHSDPlot.png')
plot(thsd)
dev.off()
}
if(intercept==TRUE){
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(i in 1:length(rownames(thsd[[1]]))){
a<-table.row.start(a)
a<-table.element(a,rownames(thsd[[1]])[i], 1, TRUE)
for(j in 1:4){
a<-table.element(a,round(thsd[[1]][i,j], digits=3), 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
}
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<-leveneTest(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')