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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 computationFri, 09 Dec 2016 17:44:01 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/09/t1481301885vynem4ntja8z5xx.htm/, Retrieved Sat, 18 May 2024 03:58:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298588, Retrieved Sat, 18 May 2024 03:58:15 +0000
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User-defined keywords
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-       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [TVDC4 - ITHsum] [2016-12-09 16:44:01] [86c9a777e8dbb7ef3face68c75fc8376] [Current]
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Dataseries X:
14	'gehaald(3)'
19	'gehaald(3)'
17	'gehaald(3)'
17	'gehaald(3)'
20	'gehaald(3)'
19	'gehaald(3)'
15	'gehaald(3)'
19	'gehaald(3)'
NA	'gehaald(3)'
18	'gehaald(3)'
14	'gehaald(3)'
16	'gehaald(3)'
10	'gehaald(3)'
19	'gehaald(3)'
19	'gehaald(3)'
15	'gehaald(3)'
17	'gehaald(3)'
19	'gehaald(3)'
17	'gehaald(3)'
NA	'gehaald(3)'
19	'gehaald(3)'
19	'gehaald(3)'
16	'gehaald(3)'
15	'gehaald(3)'
15	'gehaald(3)'
17	'gehaald(3)'
NA	'gehaald(3)'
20	'gehaald(3)'
19	'gehaald(3)'
7	'gehaald(3)'
13	'gehaald(3)'
16	'gehaald(3)'
16	'gehaald(3)'
18	'gehaald(3)'
18	'gehaald(3)'
17	'gehaald(3)'
19	'gehaald(3)'
16	'gehaald(3)'
19	'gehaald(3)'
13	'gehaald(3)'
13	'gehaald(3)'
12	'gehaald(3)'
17	'gehaald(3)'
17	'gehaald(3)'
17	'gehaald(3)'
16	'gehaald(3)'
14	'gehaald(3)'
16	'gehaald(3)'
16	'gehaald(3)'
14	'gehaald(3)'
20	'gehaald(3)'
12	'gehaald(3)'
13	'gehaald(3)'
14	'gehaald(3)'
19	'gehaald(3)'
18	'gehaald(3)'
18	'gehaald(3)'
19	'gehaald(3)'
15	'gehaald(3)'
14	'gehaald(3)'
20	'gehaald(3)'
15	'gehaald(3)'
15	'gehaald(3)'
20	'gehaald(3)'
15	'gehaald(3)'
19	'gehaald(3)'
18	'gehaald(3)'
17	'gehaald(3)'
19	'gehaald(3)'
20	'gehaald(3)'
NA	'gehaald(3)'
16	'gehaald(3)'
18	'gehaald(3)'
15	'gehaald(3)'
12	'gehaald(3)'
17	'gehaald(3)'
17	'gehaald(3)'
20	'gehaald(3)'
16	'gehaald(3)'
14	'gehaald(3)'
15	'gehaald(3)'
20	'gehaald(3)'
17	'gehaald(3)'
17	'gehaald(3)'
17	'gehaald(3)'
15	'gehaald(3)'
17	'gehaald(3)'
18	'gehaald(3)'
15	'gehaald(3)'
16	'gehaald(3)'
15	'gehaald(3)'
20	'gehaald(3)'
19	'gehaald(3)'
14	'gehaald(3)'
15	'gehaald(3)'
17	'gehaald(3)'
17	'gehaald(3)'
15	'gehaald(3)'
11	'gehaald(3)'
15	'gehaald(3)'
18	'gehaald(3)'
17	'gehaald(3)'
16	'gehaald(3)'
12	'gehaald(3)'
19	'gehaald(3)'
15	'gehaald(3)'
17	'gehaald(3)'
18	'gehaald(3)'
16	'gehaald(3)'
16	'gehaald(3)'
15	'licht-overtroffen(4)'
15	'licht-overtroffen(4)'
20	'licht-overtroffen(4)'
15	'licht-overtroffen(4)'
20	'licht-overtroffen(4)'
16	'licht-overtroffen(4)'
16	'licht-overtroffen(4)'
18	'licht-overtroffen(4)'
20	'licht-overtroffen(4)'
16	'licht-overtroffen(4)'
18	'licht-overtroffen(4)'
16	'licht-overtroffen(4)'
16	'licht-overtroffen(4)'
16	'licht-overtroffen(4)'
13	'licht-overtroffen(4)'
18	'licht-overtroffen(4)'
17	'licht-overtroffen(4)'
19	'licht-overtroffen(4)'
19	'licht-overtroffen(4)'
18	'licht-overtroffen(4)'
15	'licht-overtroffen(4)'
18	'licht-overtroffen(4)'
20	'licht-overtroffen(4)'
18	'licht-overtroffen(4)'
17	'licht-overtroffen(4)'
15	'licht-overtroffen(4)'
18	'licht-overtroffen(4)'
14	'licht-overtroffen(4)'
18	'licht-overtroffen(4)'
17	'licht-overtroffen(4)'
18	'licht-overtroffen(4)'
17	'licht-overtroffen(4)'
18	'licht-overtroffen(4)'
18	'licht-overtroffen(4)'
20	'licht-overtroffen(4)'
18	'licht-overtroffen(4)'
16	'licht-overtroffen(4)'
18	'licht-overtroffen(4)'
19	'licht-overtroffen(4)'
19	'licht-overtroffen(4)'
16	'licht-overtroffen(4)'
5	'nipt-niet-gehaald(2)'
16	'nipt-niet-gehaald(2)'
15	'weet-ik-niet/geen-mening(0)'
NA	'weet-ik-niet/geen-mening(0)'
16	'weet-ik-niet/geen-mening(0)'
NA	'weet-ik-niet/geen-mening(0)'
12	'weet-ik-niet/geen-mening(0)'
14	'weet-ik-niet/geen-mening(0)'
17	'weet-ik-niet/geen-mening(0)'
15	'weet-ik-niet/geen-mening(0)'
11	'weet-ik-niet/geen-mening(0)'
16	'weet-ik-niet/geen-mening(0)'
14	'zwaar-overtroffen(5)'
13	'zwaar-overtroffen(5)'
15	'zwaar-overtroffen(5)'
20	'zwaar-overtroffen(5)'
18	'zwaar-overtroffen(5)'
14	'zwaar-overtroffen(5)'




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298588&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298588&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298588&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center







ANOVA Model
Response ~ Treatment
means16.4340.834-5.934-1.934-0.767

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Response  ~  Treatment \tabularnewline
means & 16.434 & 0.834 & -5.934 & -1.934 & -0.767 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298588&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Response  ~  Treatment[/C][/ROW]
[ROW][C]means[/C][C]16.434[/C][C]0.834[/C][C]-5.934[/C][C]-1.934[/C][C]-0.767[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298588&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298588&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
Response ~ Treatment
means16.4340.834-5.934-1.934-0.767







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Treatment4132.38733.0975.9430
Residuals158879.925.569

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Treatment & 4 & 132.387 & 33.097 & 5.943 & 0 \tabularnewline
Residuals & 158 & 879.92 & 5.569 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298588&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]Treatment[/C][C]4[/C][C]132.387[/C][C]33.097[/C][C]5.943[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]158[/C][C]879.92[/C][C]5.569[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298588&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298588&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)
Treatment4132.38733.0975.9430
Residuals158879.925.569







Tukey Honest Significant Difference Comparisons
difflwruprp adj
licht-overtroffen(4)-gehaald(3)0.834-0.3632.0320.31
nipt-niet-gehaald(2)-gehaald(3)-5.934-10.582-1.2860.005
weet-ik-niet/geen-mening(0)-gehaald(3)-1.934-4.3220.4540.172
zwaar-overtroffen(5)-gehaald(3)-0.767-3.51.9660.938
nipt-niet-gehaald(2)-licht-overtroffen(4)-6.768-11.484-2.0520.001
weet-ik-niet/geen-mening(0)-licht-overtroffen(4)-2.768-5.285-0.2510.023
zwaar-overtroffen(5)-licht-overtroffen(4)-1.602-4.4481.2450.53
weet-ik-niet/geen-mening(0)-nipt-niet-gehaald(2)4-1.1489.1480.207
zwaar-overtroffen(5)-nipt-niet-gehaald(2)5.167-0.15110.4840.061
zwaar-overtroffen(5)-weet-ik-niet/geen-mening(0)1.167-2.354.6840.891

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
licht-overtroffen(4)-gehaald(3) & 0.834 & -0.363 & 2.032 & 0.31 \tabularnewline
nipt-niet-gehaald(2)-gehaald(3) & -5.934 & -10.582 & -1.286 & 0.005 \tabularnewline
weet-ik-niet/geen-mening(0)-gehaald(3) & -1.934 & -4.322 & 0.454 & 0.172 \tabularnewline
zwaar-overtroffen(5)-gehaald(3) & -0.767 & -3.5 & 1.966 & 0.938 \tabularnewline
nipt-niet-gehaald(2)-licht-overtroffen(4) & -6.768 & -11.484 & -2.052 & 0.001 \tabularnewline
weet-ik-niet/geen-mening(0)-licht-overtroffen(4) & -2.768 & -5.285 & -0.251 & 0.023 \tabularnewline
zwaar-overtroffen(5)-licht-overtroffen(4) & -1.602 & -4.448 & 1.245 & 0.53 \tabularnewline
weet-ik-niet/geen-mening(0)-nipt-niet-gehaald(2) & 4 & -1.148 & 9.148 & 0.207 \tabularnewline
zwaar-overtroffen(5)-nipt-niet-gehaald(2) & 5.167 & -0.151 & 10.484 & 0.061 \tabularnewline
zwaar-overtroffen(5)-weet-ik-niet/geen-mening(0) & 1.167 & -2.35 & 4.684 & 0.891 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298588&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]licht-overtroffen(4)-gehaald(3)[/C][C]0.834[/C][C]-0.363[/C][C]2.032[/C][C]0.31[/C][/ROW]
[ROW][C]nipt-niet-gehaald(2)-gehaald(3)[/C][C]-5.934[/C][C]-10.582[/C][C]-1.286[/C][C]0.005[/C][/ROW]
[ROW][C]weet-ik-niet/geen-mening(0)-gehaald(3)[/C][C]-1.934[/C][C]-4.322[/C][C]0.454[/C][C]0.172[/C][/ROW]
[ROW][C]zwaar-overtroffen(5)-gehaald(3)[/C][C]-0.767[/C][C]-3.5[/C][C]1.966[/C][C]0.938[/C][/ROW]
[ROW][C]nipt-niet-gehaald(2)-licht-overtroffen(4)[/C][C]-6.768[/C][C]-11.484[/C][C]-2.052[/C][C]0.001[/C][/ROW]
[ROW][C]weet-ik-niet/geen-mening(0)-licht-overtroffen(4)[/C][C]-2.768[/C][C]-5.285[/C][C]-0.251[/C][C]0.023[/C][/ROW]
[ROW][C]zwaar-overtroffen(5)-licht-overtroffen(4)[/C][C]-1.602[/C][C]-4.448[/C][C]1.245[/C][C]0.53[/C][/ROW]
[ROW][C]weet-ik-niet/geen-mening(0)-nipt-niet-gehaald(2)[/C][C]4[/C][C]-1.148[/C][C]9.148[/C][C]0.207[/C][/ROW]
[ROW][C]zwaar-overtroffen(5)-nipt-niet-gehaald(2)[/C][C]5.167[/C][C]-0.151[/C][C]10.484[/C][C]0.061[/C][/ROW]
[ROW][C]zwaar-overtroffen(5)-weet-ik-niet/geen-mening(0)[/C][C]1.167[/C][C]-2.35[/C][C]4.684[/C][C]0.891[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298588&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298588&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
licht-overtroffen(4)-gehaald(3)0.834-0.3632.0320.31
nipt-niet-gehaald(2)-gehaald(3)-5.934-10.582-1.2860.005
weet-ik-niet/geen-mening(0)-gehaald(3)-1.934-4.3220.4540.172
zwaar-overtroffen(5)-gehaald(3)-0.767-3.51.9660.938
nipt-niet-gehaald(2)-licht-overtroffen(4)-6.768-11.484-2.0520.001
weet-ik-niet/geen-mening(0)-licht-overtroffen(4)-2.768-5.285-0.2510.023
zwaar-overtroffen(5)-licht-overtroffen(4)-1.602-4.4481.2450.53
weet-ik-niet/geen-mening(0)-nipt-niet-gehaald(2)4-1.1489.1480.207
zwaar-overtroffen(5)-nipt-niet-gehaald(2)5.167-0.15110.4840.061
zwaar-overtroffen(5)-weet-ik-niet/geen-mening(0)1.167-2.354.6840.891







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group43.7340.006
158

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 4 & 3.734 & 0.006 \tabularnewline
  & 158 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298588&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]4[/C][C]3.734[/C][C]0.006[/C][/ROW]
[ROW][C] [/C][C]158[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298588&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298588&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)
Group43.7340.006
158



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = TRUE ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; 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')