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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 computationThu, 18 Nov 2010 16:16:08 +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/2010/Nov/18/t1290096922mpl4caktcwow2sl.htm/, Retrieved Mon, 06 May 2024 22:17:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=97351, Retrieved Mon, 06 May 2024 22:17:29 +0000
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Original text written by user:Treatment CSWE is de beste treatment op korte termijn, je kan uit dit afleiden uit de tabel aangezien er een + staat betekent dit dat CSWE beter is dan C.Bovendien is de p-waarde = 3%, dit wil zeggen dat er slechts een kleine kans bestaat dat je je vergist als je de nulhypothese gaat verwerpen, daarom gaan we in dit geval de nulhypothese dan ook verwerpen.
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact139
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Workshop 2 Questi...] [2010-11-17 18:22:31] [26b496433b0542586fba8728b2eb65c5]
-   P     [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [ws5-question7.1] [2010-11-18 16:16:08] [65e95fe5923d75db266bc83cb8a34c47] [Current]
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Dataseries X:
'WWE'	0	0	0	0	0	0
'WWE'	0	0	0	0	0	0
'WWE'	0	1	1	1	1	2
'WWE'	0	0	0	0	0	0
'WWE'	0	1	1	1	1	2
'WWE'	0	0	1	0	1	1
'WWE'	0	0	0	0	0	0
'WWE'	0	1	1	1	1	2
'WWE'	0	0	0	0	0	0
'WWE'	0	0	0	0	0	0
'WWE'	0	0	0	0	0	0
'WWE'	0	0	0	0	0	0
'WWE'	0	0	0	0	0	0
'WWE'	0	0	NA	0	NA	NA
'WWE'	0	0	1	0	1	1
'WWE'	1	1	NA	0	NA	NA
'WWE'	1	0	0	-1	-1	-1
'WWE'	0	0	0	0	0	0
'WWE'	0	0	1	0	1	1
'WWE'	0	1	0	1	0	1
'WWE'	0	0	0	0	0	0
'WWE'	1	1	0	0	-1	0
'WWE'	0	0	0	0	0	0
'WWE'	0	1	0	1	0	1
'WWE'	0	1	1	1	1	2
'WWE'	0	1	1	1	1	2
'WWE'	0	0	0	0	0	0
'WWE'	1	1	0	0	-1	0
'WWE'	0	1	0	1	0	1
'WWE'	0	1	0	1	0	1
'WWE'	0	0	1	0	1	1
'WWE'	0	1	0	1	0	1
'WWE'	0	1	0	1	0	1
'WWE'	0	0	0	0	0	0
'WWE'	0	0	0	0	0	0
'WWE'	1	1	0	0	-1	0
'WWE'	1	1	0	0	-1	0
'WWE'	0	0	0	0	0	0
'WWE'	0	0	NA	0	NA	NA
'WWE'	0	0	1	0	1	1
'WWE'	0	0	0	0	0	0
'CSWE'	0	0	0	0	0	0
'CSWE'	1	0	NA	-1	NA	NA
'CSWE'	0	0	0	0	0	0
'CSWE'	0	1	NA	1	NA	NA
'CSWE'	0	1	0	1	0	1
'CSWE'	0	0	0	0	0	0
'CSWE'	0	0	0	0	0	0
'CSWE'	0	0	1	0	1	1
'CSWE'	0	0	0	0	0	0
'CSWE'	1	1	0	0	-1	0
'CSWE'	0	0	1	0	1	1
'CSWE'	0	1	0	1	0	1
'CSWE'	0	0	0	0	0	0
'CSWE'	0	1	NA	1	NA	NA
'CSWE'	0	1	0	1	0	1
'CSWE'	0	1	NA	1	NA	NA
'CSWE'	1	1	0	0	-1	0
'CSWE'	0	1	0	1	0	1
'CSWE'	0	0	NA	0	NA	NA
'CSWE'	0	1	0	1	0	1
'CSWE'	0	0	0	0	0	0
'CSWE'	0	0	NA	0	NA	NA
'CSWE'	0	0	0	0	0	0
'CSWE'	0	1	0	1	0	1
'CSWE'	0	0	0	0	0	0
'CSWE'	0	0	1	0	1	1
'CSWE'	0	1	0	1	0	1
'CSWE'	0	1	0	1	0	1
'CSWE'	1	1	0	0	-1	0
'CSWE'	0	0	1	0	1	1
'CSWE'	0	1	1	1	1	2
'CSWE'	0	1	0	1	0	1
'CSWE'	0	0	NA	0	NA	NA
'CSWE'	0	0	0	0	0	0
'CSWE'	0	1	NA	1	NA	NA
'CSWE'	0	0	0	0	0	0
'CSWE'	0	0	0	0	0	0
'CSWE'	0	0	0	0	0	0
'CSWE'	0	1	0	1	0	1
'CSWE'	0	1	0	1	0	1
'C'	0	0	0	0	0	0
'C'	0	0	1	0	1	1
'C'	1	0	0	-1	-1	-1
'C'	0	0	1	0	1	1
'C'	0	0	NA	0	NA	NA
'C'	0	0	0	0	0	0
'C'	0	0	0	0	0	0
'C'	0	1	0	1	0	1
'C'	1	1	0	0	-1	0
'C'	0	0	NA	0	NA	NA
'C'	0	0	0	0	0	0
'C'	0	1	0	1	0	1
'C'	0	1	0	1	0	1
'C'	0	0	0	0	0	0
'C'	0	0	0	0	0	0
'C'	0	0	0	0	0	0
'C'	0	0	0	0	0	0
'C'	0	0	NA	0	NA	NA
'C'	0	0	0	0	0	0
'C'	0	1	0	1	0	1
'C'	1	1	0	0	-1	0
'C'	0	1	0	1	0	1
'C'	0	0	0	0	0	0
'C'	0	0	0	0	0	0
'C'	1	1	0	0	-1	0
'C'	0	0	0	0	0	0
'C'	0	0	0	0	0	0
'C'	0	0	0	0	0	0
'C'	0	0	0	0	0	0
'C'	0	0	0	0	0	0
'C'	1	1	0	0	-1	0
'C'	0	0	1	0	1	1
'C'	0	0	0	0	0	0
'C'	0	0	0	0	0	0
'C'	0	0	0	0	0	0
'C'	0	0	1	0	1	1
'C'	0	0	0	0	0	0
'C'	0	0	NA	0	NA	NA
'C'	1	1	0	0	-1	0




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=97351&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=97351&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=97351&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' @ 72.249.127.135







ANOVA Model
E ~ A
means0.1030.2720.141

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
E  ~  A \tabularnewline
means & 0.103 & 0.272 & 0.141 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=97351&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]E  ~  A[/C][/ROW]
[ROW][C]means[/C][C]0.103[/C][C]0.272[/C][C]0.141[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=97351&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=97351&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
E ~ A
means0.1030.2720.141







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
A21.4660.7333.2330.043
Residuals11726.5260.227

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
A & 2 & 1.466 & 0.733 & 3.233 & 0.043 \tabularnewline
Residuals & 117 & 26.526 & 0.227 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=97351&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]A[/C][C]2[/C][C]1.466[/C][C]0.733[/C][C]3.233[/C][C]0.043[/C][/ROW]
[ROW][C]Residuals[/C][C]117[/C][C]26.526[/C][C]0.227[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=97351&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=97351&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)
A21.4660.7333.2330.043
Residuals11726.5260.227







Tukey Honest Significant Difference Comparisons
difflwruprp adj
CSWE-C0.2720.0180.5270.033
WWE-C0.141-0.1110.3940.383
WWE-CSWE-0.131-0.3820.120.433

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
CSWE-C & 0.272 & 0.018 & 0.527 & 0.033 \tabularnewline
WWE-C & 0.141 & -0.111 & 0.394 & 0.383 \tabularnewline
WWE-CSWE & -0.131 & -0.382 & 0.12 & 0.433 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=97351&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]CSWE-C[/C][C]0.272[/C][C]0.018[/C][C]0.527[/C][C]0.033[/C][/ROW]
[ROW][C]WWE-C[/C][C]0.141[/C][C]-0.111[/C][C]0.394[/C][C]0.383[/C][/ROW]
[ROW][C]WWE-CSWE[/C][C]-0.131[/C][C]-0.382[/C][C]0.12[/C][C]0.433[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=97351&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=97351&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
CSWE-C0.2720.0180.5270.033
WWE-C0.141-0.1110.3940.383
WWE-CSWE-0.131-0.3820.120.433







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group23.6390.029
117

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 3.639 & 0.029 \tabularnewline
  & 117 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=97351&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]2[/C][C]3.639[/C][C]0.029[/C][/ROW]
[ROW][C] [/C][C]117[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=97351&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=97351&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)
Group23.6390.029
117



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = FALSE ;
Parameters (R input):
par1 = 5 ; 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){
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<-levene.test(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')