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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 11:31:21 +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/t1512037892ubj6ee72acd9z9l.htm/, Retrieved Fri, 24 May 2024 21:15:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=308382, Retrieved Fri, 24 May 2024 21:15:26 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact79

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)] [] [2017-11-30 10:31:21] [e32c8f3a6c40fa6b5d041988204898ea] [Current]
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Dataset

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

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time4 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 time4 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308382&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]4 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=308382&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308382&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 time4 seconds
R ServerBig Analytics Cloud Computing Center






ANOVA Model
ITU ~ SQ2
means3.22.554.3084.5864.578

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
ITU  ~  SQ2 \tabularnewline
means & 3.2 & 2.55 & 4.308 & 4.586 & 4.578 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308382&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]ITU  ~  SQ2[/C][/ROW]
[ROW][C]means[/C][C]3.2[/C][C]2.55[/C][C]4.308[/C][C]4.586[/C][C]4.578[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308382&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308382&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 ~ SQ2
means3.22.554.3084.5864.578






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
SQ24164.94541.23613.7340
Residuals173519.4433.003 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
SQ2 & 4 & 164.945 & 41.236 & 13.734 & 0 \tabularnewline
Residuals & 173 & 519.443 & 3.003 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308382&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]SQ2[/C][C]4[/C][C]164.945[/C][C]41.236[/C][C]13.734[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]173[/C][C]519.443[/C][C]3.003[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308382&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308382&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)
SQ24164.94541.23613.7340
Residuals173519.4433.003






Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-12.550.2024.8980.026
3-14.3082.0866.530
4-14.5862.3746.7970
5-14.5782.1636.9930
3-21.7580.6072.9090
4-22.0360.9063.1660
5-22.0280.5383.5170.002
4-30.278-0.5591.1140.891
5-30.27-1.0121.5510.978
5-4-0.008-1.271.2541

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & 2.55 & 0.202 & 4.898 & 0.026 \tabularnewline
3-1 & 4.308 & 2.086 & 6.53 & 0 \tabularnewline
4-1 & 4.586 & 2.374 & 6.797 & 0 \tabularnewline
5-1 & 4.578 & 2.163 & 6.993 & 0 \tabularnewline
3-2 & 1.758 & 0.607 & 2.909 & 0 \tabularnewline
4-2 & 2.036 & 0.906 & 3.166 & 0 \tabularnewline
5-2 & 2.028 & 0.538 & 3.517 & 0.002 \tabularnewline
4-3 & 0.278 & -0.559 & 1.114 & 0.891 \tabularnewline
5-3 & 0.27 & -1.012 & 1.551 & 0.978 \tabularnewline
5-4 & -0.008 & -1.27 & 1.254 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308382&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]2.55[/C][C]0.202[/C][C]4.898[/C][C]0.026[/C][/ROW]
[ROW][C]3-1[/C][C]4.308[/C][C]2.086[/C][C]6.53[/C][C]0[/C][/ROW]
[ROW][C]4-1[/C][C]4.586[/C][C]2.374[/C][C]6.797[/C][C]0[/C][/ROW]
[ROW][C]5-1[/C][C]4.578[/C][C]2.163[/C][C]6.993[/C][C]0[/C][/ROW]
[ROW][C]3-2[/C][C]1.758[/C][C]0.607[/C][C]2.909[/C][C]0[/C][/ROW]
[ROW][C]4-2[/C][C]2.036[/C][C]0.906[/C][C]3.166[/C][C]0[/C][/ROW]
[ROW][C]5-2[/C][C]2.028[/C][C]0.538[/C][C]3.517[/C][C]0.002[/C][/ROW]
[ROW][C]4-3[/C][C]0.278[/C][C]-0.559[/C][C]1.114[/C][C]0.891[/C][/ROW]
[ROW][C]5-3[/C][C]0.27[/C][C]-1.012[/C][C]1.551[/C][C]0.978[/C][/ROW]
[ROW][C]5-4[/C][C]-0.008[/C][C]-1.27[/C][C]1.254[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308382&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308382&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
2-12.550.2024.8980.026
3-14.3082.0866.530
4-14.5862.3746.7970
5-14.5782.1636.9930
3-21.7580.6072.9090
4-22.0360.9063.1660
5-22.0280.5383.5170.002
4-30.278-0.5591.1140.891
5-30.27-1.0121.5510.978
5-4-0.008-1.271.2541






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group42.3380.057
173 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 4 & 2.338 & 0.057 \tabularnewline
  & 173 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308382&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]2.338[/C][C]0.057[/C][/ROW]
[ROW][C] [/C][C]173[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308382&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308382&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)
Group42.3380.057
173


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = grey ; par2 = no ;
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')