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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 computationThu, 30 Nov 2017 10:58:15 +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/2017/Nov/30/t151203613544382shd2p7vi5k.htm/, Retrieved Sat, 18 May 2024 13:44:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=308377, Retrieved Sat, 18 May 2024 13:44:54 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact92

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)] [1WayANOVA ITU-SQ1] [2017-11-30 09:58:15] [e32c8f3a6c40fa6b5d041988204898ea] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10 3 3 4 4 4 4 5 4 5
8 2 2 5 4 1 5 3 5 5
8 4 4 4 4 2 5 2 4 4
9 4 4 4 5 4 4 4 5 5
5 3 3 4 3 4 3 5 5 4
10 4 4 5 4 4 4 5 5 4
8 2 2 5 4 3 5 5 5 5
9 3 3 4 4 3 4 3 4 5
8 3 3 3 3 4 4 2 4 4
7 5 5 4 3 4 4 5 4 5
10 4 4 5 4 2 4 4 5 5
10 3 3 4 5 3 5 5 5 4
9 4 4 4 4 3 4 4 4 4
4 3 3 4 4 2 4 2 5 5
4 4 4 4 3 4 5 3 4 5
8 5 4 5 4 4 5 4 4 1
9 3 3 5 5 5 5 5 5 5
10 3 3 4 3 4 5 4 5 5
8 4 4 4 3 4 4 5 4 5
5 4 4 4 3 2 4 2 3 3
10 4 4 3 4 5 5 4 5 5
8 2 3 5 4 3 5 5 5 5
7 3 4 4 3 4 3 4 4 3
8 4 4 4 4 3 4 4 4 5
8 4 4 5 5 5 5 5 5 5
9 3 2 3 5 2 5 4 4 2
8 3 3 3 4 4 4 4 3 5
6 3 4 3 4 2 4 2 3 3
8 4 4 4 4 2 2 4 2 4
8 2 3 4 2 4 3 2 4 4
5 5 5 4 4 4 5 4 4 4
9 2 3 4 5 3 5 3 4 5
8 3 3 4 4 4 4 4 4 4
8 3 3 3 4 3 4 3 3 3
8 3 3 4 3 4 4 2 4 5
6 4 4 4 2 4 4 4 4 3
6 3 3 3 3 3 3 3 3 3
9 3 3 4 4 3 5 4 4 5
8 4 4 5 4 4 4 4 5 4
9 5 5 5 4 3 5 4 4 5
10 3 3 4 4 4 4 4 4 4
8 3 3 4 4 4 4 4 4 4
8 2 2 4 3 3 4 2 3 3
7 4 4 4 4 4 5 4 5 5
7 4 4 4 2 4 3 4 4 5
10 4 4 4 5 4 5 4 5 4
8 3 3 4 3 2 3 4 2 2
7 4 3 4 2 2 4 2 4 5
10 4 4 4 4 4 5 3 3 3
7 3 4 4 3 4 4 4 4 4
7 3 3 4 5 5 3 2 1 3
9 5 4 5 4 3 5 5 5 5
9 5 5 4 4 5 5 5 5 5
8 4 4 3 4 2 4 2 4 4
6 3 3 4 3 4 4 4 4 4
8 4 4 4 4 4 4 4 2 4
9 3 3 4 2 1 4 4 4 5
2 4 2 2 3 2 3 1 4 2
6 5 4 4 2 3 3 4 2 2
8 3 3 4 4 3 4 5 5 4
8 4 4 4 4 5 5 4 5 5
7 3 3 3 2 3 3 2 4 4
8 2 2 4 3 4 4 3 4 4
6 2 2 4 3 2 4 2 4 4
10 2 2 4 3 3 5 3 4 3
10 3 3 5 4 3 5 3 4 3
10 3 3 5 3 5 3 5 2 3
8 3 3 4 4 3 4 4 4 4
8 3 2 5 3 4 5 5 4 5
7 3 3 4 4 4 3 4 4 5
10 5 5 5 5 5 5 5 5 5
5 3 3 4 3 3 3 4 4 3
3 1 1 4 4 4 1 2 1 4
2 1 1 5 1 4 2 3 3 4
3 3 2 1 2 4 1 4 3 5
4 1 1 2 4 4 4 2 4 4
2 3 3 4 3 4 1 3 2 4
6 2 2 4 3 2 3 4 4 3
8 4 4 4 3 4 4 4 4 4
8 4 4 4 4 4 4 4 4 4
5 1 1 5 3 5 5 3 5 4
10 4 4 5 4 2 4 3 4 5
9 3 3 5 5 1 4 5 4 5
8 3 3 5 5 5 4 5 3 3
9 4 4 4 4 4 4 5 4 4
8 4 4 3 3 4 3 4 4 4
5 3 3 3 3 3 3 2 2 3
7 4 4 5 4 4 4 2 4 4
9 4 4 5 4 4 4 3 4 5
8 2 2 4 3 5 5 5 5 5
4 4 4 4 4 2 5 4 5 3
7 2 3 3 4 3 4 2 4 4
8 4 4 4 4 4 3 4 4 4
7 4 4 4 3 3 3 4 3 3
7 4 3 3 4 2 3 3 4 4
9 4 4 4 4 4 5 3 5 4
6 4 4 4 4 2 3 5 5 5
7 4 5 4 4 4 4 4 3 3
4 2 2 5 2 3 5 4 4 5
6 4 3 3 4 3 4 4 4 5
10 5 5 5 5 3 3 5 3 3
9 4 3 5 5 3 4 3 5 4
10 5 5 5 5 2 5 2 5 5
8 4 4 4 4 4 4 3 5 5
4 4 4 4 3 3 3 3 4 3
8 5 5 3 5 5 4 5 4 4
5 4 5 4 3 4 4 5 4 5
8 4 4 4 4 3 4 4 4 4
9 4 5 5 4 4 3 5 4 4
8 3 4 3 4 2 4 4 3 5
4 5 5 3 5 4 5 4 5 5
8 3 3 4 4 4 4 2 2 2
10 4 4 4 5 5 4 4 5 5
6 2 2 3 3 3 3 4 2 3
7 4 3 3 3 3 4 2 2 4
10 3 3 5 4 4 4 4 5 5
9 4 4 5 4 5 5 2 5 3
8 5 5 4 4 5 4 4 5 4
3 2 2 2 2 3 4 3 4 4
8 3 4 3 3 3 4 3 3 4
7 2 3 4 4 5 3 4 3 4
7 3 3 4 4 2 3 4 4 4
8 3 3 3 3 4 3 1 5 3
8 4 4 3 4 3 4 4 4 4
7 5 5 4 4 3 3 5 5 5
7 4 4 5 4 2 3 4 3 4
9 5 5 5 5 5 5 5 4 4
9 4 4 5 4 4 4 4 4 4
9 4 3 4 3 2 4 2 4 5
4 3 3 2 4 5 4 2 4 4
6 3 3 3 4 4 4 4 4 5
6 3 3 5 3 2 5 3 4 4
6 3 3 3 3 3 3 3 3 3
8 4 3 3 5 4 4 4 3 4
3 2 2 4 2 3 3 4 4 4
8 5 4 5 3 2 4 2 3 4
8 4 4 5 4 4 5 3 5 5
6 2 2 3 3 3 4 3 4 4
10 4 4 4 4 4 5 4 5 5
2 3 2 4 2 5 4 4 4 4
9 4 4 4 4 4 4 4 4 4
6 4 3 3 3 4 3 3 3 5
6 3 4 5 5 5 4 4 5 4
5 2 2 3 3 3 3 1 2 4
4 2 2 3 2 3 4 2 3 4
7 4 3 2 3 4 4 4 4 4
5 1 2 3 4 4 5 5 4 4
8 4 4 5 3 3 4 5 4 4
6 4 4 5 4 5 4 4 4 5
9 5 4 4 2 2 3 2 4 5
6 3 3 4 4 3 4 4 3 4
4 1 2 3 4 4 4 2 4 4
7 3 4 4 4 3 4 4 4 4
2 1 1 3 2 4 5 4 3 5
8 5 4 4 4 2 4 5 5 5
9 3 3 4 4 2 4 5 5 5
6 4 4 4 4 4 2 4 2 4
5 2 2 5 3 2 4 2 2 4
7 4 4 4 3 3 3 3 4 4
8 4 3 3 3 2 3 4 3 3
4 4 4 3 3 3 3 4 4 3
9 4 4 4 3 4 4 3 3 4
9 4 4 4 5 3 4 4 5 5
9 4 4 5 4 4 5 4 4 4
7 3 3 4 4 4 4 4 5 5
5 4 4 3 2 3 3 2 5 5
7 3 3 5 4 2 5 4 5 5
9 5 5 5 4 4 5 5 5 5
8 4 4 5 3 4 5 3 5 4
6 3 3 4 3 3 4 2 3 3
9 5 4 4 4 4 4 2 5 3
8 3 3 4 4 3 5 4 4 4
7 5 5 5 3 3 4 5 5 5
7 2 2 3 4 4 4 4 4 4
7 5 5 5 4 5 4 4 4 5
8 3 3 4 4 3 3 5 5 5
10 4 4 5 4 3 5 4 4 5
6 4 4 4 4 4 4 4 4 5

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=308377&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=308377&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308377&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
ITU ~ SQ1
means3.5716.5457.2987.6578

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
ITU  ~  SQ1 \tabularnewline
means & 3.571 & 6.545 & 7.298 & 7.657 & 8 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308377&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]ITU  ~  SQ1[/C][/ROW]
[ROW][C]means[/C][C]3.571[/C][C]6.545[/C][C]7.298[/C][C]7.657[/C][C]8[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308377&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308377&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
ITU ~ SQ1
means3.5716.5457.2987.6578






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
SQ159580.131916.026597.3880
Residuals173554.873.207 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
SQ1 & 5 & 9580.13 & 1916.026 & 597.388 & 0 \tabularnewline
Residuals & 173 & 554.87 & 3.207 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308377&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]SQ1[/C][C]5[/C][C]9580.13[/C][C]1916.026[/C][C]597.388[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]173[/C][C]554.87[/C][C]3.207[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308377&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308377&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)
SQ159580.131916.026597.3880
Residuals173554.873.207






Must Include Intercept to use Tukey Test 

\begin{tabular}{lllllllll}
\hline
Must Include Intercept to use Tukey Test  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308377&T=3

[TABLE]
[ROW][C]Must Include Intercept to use Tukey Test [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308377&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308377&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:

Must Include Intercept to use Tukey Test






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group40.5150.725
173 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 4 & 0.515 & 0.725 \tabularnewline
  & 173 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308377&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]0.515[/C][C]0.725[/C][/ROW]
[ROW][C] [/C][C]173[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308377&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308377&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)
Group40.5150.725
173


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = grey ; par2 = no ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = FALSE ;
R code (references can be found in the software module):
par3 <- 'FALSE'
par2 <- '2,3,4,5,6,7,8,9,10'
par1 <- '1'
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')