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Description of Statistical Computation

Author's title

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 computationSun, 27 Nov 2016 16:09:55 +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/Nov/27/t1480259537zubbqbmfuuje8a6.htm/, Retrieved Mon, 29 Apr 2024 18:05:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=297194, Retrieved Mon, 29 Apr 2024 18:05:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact61

Tree of Dependent Computations

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)] [Klantentevredenhe...] [2016-11-27 15:09:55] [f9ec87b450e3a9e81b1e03387661d62c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3	4
4	2
5	3
4	2
4	2
5	3
5	3
5	2
5	2
5	4
5	2
4	2
4	3
4	2
4	3
5	2
4	2
NA	NA
4	3
5	2
4	2
4	3
4	1
4	2
5	3
5	2
4	2
4	3
5	5
5	2
3	5
5	2
4	2
5	4
4	1
5	2
4	2
4	3
4	2
5	3
4	2
5	3
3	4
5	4
4	3
5	2
5	2
4	1
3	4
NA	4
5	3
5	2
4	2
3	2
4	2
4	3
4	2
4	2
4	3
4	3
5	2
4	2
4	4
4	4
4	3
4	4
5	4
4	4
4	4
4	5
4	3
4	4
3	4
4	2
4	2
4	3
5	4
4	2
4	5
5	1
5	3
3	3
5	2
4	2
5	1
5	2
5	1
5	2
4	2
4	2
2	2
4	3
5	2
5	1
5	1
4	3
4	2
4	3
5	1
4	2
NA	2
5	3
4	2
4	2
4	3
5	1
4	4
5	3
4	2
4	3
4	3
3	3
4	4
3	3
5	2
4	3
4	2
5	1
4	1
4	2
4	4
4	3
4	2
4	2
5	3
4	3
4	3
5	2
4	2
4	2
3	3
4	4
4	2
4	2
3	1
4	3
5	3
3	4
4	3
5	1
5	1
4	2
4	1
4	5
3	3
5	2
4	2
5	4
4	2
4	4
3	4
4	3
4	4
4	3
3	4
4	3
5	4
3	2
4	4
5	1
4	4
5	3
4	2
4	2
4	2
4	4
4	3
3	3
4	2

Tables (Output of Computation)





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=297194&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=297194&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297194&T=0

As an alternative you can also use a QR Code:  
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
Klantentevredenheid ~ Privacy
means4.588-0.349-0.442-0.588-0.588

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Klantentevredenheid  ~  Privacy \tabularnewline
means & 4.588 & -0.349 & -0.442 & -0.588 & -0.588 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=297194&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Klantentevredenheid  ~  Privacy[/C][/ROW]
[ROW][C]means[/C][C]4.588[/C][C]-0.349[/C][C]-0.442[/C][C]-0.588[/C][C]-0.588[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=297194&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297194&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

ANOVA Model
Klantentevredenheid ~ Privacy
means4.588-0.349-0.442-0.588-0.588






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Privacy44.1641.0412.6910.033
Residuals16162.2760.387 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Privacy & 4 & 4.164 & 1.041 & 2.691 & 0.033 \tabularnewline
Residuals & 161 & 62.276 & 0.387 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=297194&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]Privacy[/C][C]4[/C][C]4.164[/C][C]1.041[/C][C]2.691[/C][C]0.033[/C][/ROW]
[ROW][C]Residuals[/C][C]161[/C][C]62.276[/C][C]0.387[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=297194&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297194&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Privacy44.1641.0412.6910.033
Residuals16162.2760.387






Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-1-0.349-0.8150.1170.239
3-1-0.442-0.9270.0420.091
4-1-0.588-1.112-0.0640.019
5-1-0.588-1.4610.2850.344
3-2-0.093-0.4170.2320.933
4-2-0.239-0.620.1430.42
5-2-0.239-1.0340.5570.922
4-3-0.146-0.5490.2580.856
5-3-0.146-0.9520.6610.987
5-40-0.8310.8311

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & -0.349 & -0.815 & 0.117 & 0.239 \tabularnewline
3-1 & -0.442 & -0.927 & 0.042 & 0.091 \tabularnewline
4-1 & -0.588 & -1.112 & -0.064 & 0.019 \tabularnewline
5-1 & -0.588 & -1.461 & 0.285 & 0.344 \tabularnewline
3-2 & -0.093 & -0.417 & 0.232 & 0.933 \tabularnewline
4-2 & -0.239 & -0.62 & 0.143 & 0.42 \tabularnewline
5-2 & -0.239 & -1.034 & 0.557 & 0.922 \tabularnewline
4-3 & -0.146 & -0.549 & 0.258 & 0.856 \tabularnewline
5-3 & -0.146 & -0.952 & 0.661 & 0.987 \tabularnewline
5-4 & 0 & -0.831 & 0.831 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=297194&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]2-1[/C][C]-0.349[/C][C]-0.815[/C][C]0.117[/C][C]0.239[/C][/ROW]
[ROW][C]3-1[/C][C]-0.442[/C][C]-0.927[/C][C]0.042[/C][C]0.091[/C][/ROW]
[ROW][C]4-1[/C][C]-0.588[/C][C]-1.112[/C][C]-0.064[/C][C]0.019[/C][/ROW]
[ROW][C]5-1[/C][C]-0.588[/C][C]-1.461[/C][C]0.285[/C][C]0.344[/C][/ROW]
[ROW][C]3-2[/C][C]-0.093[/C][C]-0.417[/C][C]0.232[/C][C]0.933[/C][/ROW]
[ROW][C]4-2[/C][C]-0.239[/C][C]-0.62[/C][C]0.143[/C][C]0.42[/C][/ROW]
[ROW][C]5-2[/C][C]-0.239[/C][C]-1.034[/C][C]0.557[/C][C]0.922[/C][/ROW]
[ROW][C]4-3[/C][C]-0.146[/C][C]-0.549[/C][C]0.258[/C][C]0.856[/C][/ROW]
[ROW][C]5-3[/C][C]-0.146[/C][C]-0.952[/C][C]0.661[/C][C]0.987[/C][/ROW]
[ROW][C]5-4[/C][C]0[/C][C]-0.831[/C][C]0.831[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=297194&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297194&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-1-0.349-0.8150.1170.239
3-1-0.442-0.9270.0420.091
4-1-0.588-1.112-0.0640.019
5-1-0.588-1.4610.2850.344
3-2-0.093-0.4170.2320.933
4-2-0.239-0.620.1430.42
5-2-0.239-1.0340.5570.922
4-3-0.146-0.5490.2580.856
5-3-0.146-0.9520.6610.987
5-40-0.8310.8311






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group40.2950.881
161 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 4 & 0.295 & 0.881 \tabularnewline
  & 161 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=297194&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]0.295[/C][C]0.881[/C][/ROW]
[ROW][C] [/C][C]161[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=297194&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=297194&T=4

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group40.2950.881
161


Figures (Output of Computation)

Input Parameters & R Code

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')