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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 computationMon, 19 Dec 2016 12:50:50 +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/19/t1482148364zpezznv44o48pq3.htm/, Retrieved Sat, 18 May 2024 01:15:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=301312, Retrieved Sat, 18 May 2024 01:15:00 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact85
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)] [ONE WAY ANOVA ] [2016-12-19 11:50:50] [6fe662842930c5949e61d44eeb8a265b] [Current]
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Dataseries X:
2	13
3	16
4	17
4	NA
4	NA
4	16
4	NA
4	NA
5	NA
5	17
4	17
4	15
4	16
3	14
4	16
4	17
4	NA
NA	NA
5	NA
4	NA
4	16
4	NA
4	16
4	NA
4	NA
4	NA
4	16
4	15
4	16
4	16
3	13
5	15
4	17
3	NA
3	13
5	17
4	NA
3	14
3	14
4	18
4	NA
5	17
3	13
5	16
4	15
4	15
4	NA
5	15
4	13
3	NA
5	17
5	NA
5	NA
3	11
3	14
4	13
4	NA
4	17
4	16
4	NA
5	17
4	16
4	16
4	16
4	15
2	12
4	17
4	14
4	14
4	16
4	NA
5	NA
4	NA
4	NA
4	NA
4	15
4	16
4	14
3	15
3	17
4	NA
3	10
4	NA
4	17
4	NA
4	20
4	17
4	18
4	NA
NA	17
2	14
4	NA
4	17
4	NA
5	17
4	NA
4	16
4	18
4	18
5	16
4	NA
3	NA
4	15
4	13
4	NA
4	NA
4	NA
4	NA
4	NA
4	16
4	NA
4	NA
4	NA
3	12
4	NA
4	16
4	16
4	NA
4	16
4	14
4	15
4	14
4	NA
4	15
5	NA
4	15
4	16
4	NA
4	NA
4	NA
2	11
4	NA
4	18
4	NA
3	11
4	NA
5	18
NA	NA
5	15
5	19
5	17
4	NA
4	14
4	NA
4	13
4	17
4	14
4	19
3	14
4	NA
3	NA
5	16
4	16
4	15
4	12
4	NA
4	17
4	NA
3	NA
4	18
3	15
4	18
5	15
4	NA
4	NA
3	NA
4	16
4	NA
3	16




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=301312&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=301312&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301312&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 time4 seconds
R ServerBig Analytics Cloud Computing Center







ANOVA Model
TVDCSUM ~ SKEOU2
means12.51.1473.36244.5

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
TVDCSUM  ~  SKEOU2 \tabularnewline
means & 12.5 & 1.147 & 3.362 & 4 & 4.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301312&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]TVDCSUM  ~  SKEOU2[/C][/ROW]
[ROW][C]means[/C][C]12.5[/C][C]1.147[/C][C]3.362[/C][C]4[/C][C]4.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301312&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301312&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
TVDCSUM ~ SKEOU2
means12.51.1473.36244.5







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
SKEOU24121.05330.26312.5330
Residuals98236.6362.415

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
SKEOU2 & 4 & 121.053 & 30.263 & 12.533 & 0 \tabularnewline
Residuals & 98 & 236.636 & 2.415 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301312&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]SKEOU2[/C][C]4[/C][C]121.053[/C][C]30.263[/C][C]12.533[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]98[/C][C]236.636[/C][C]2.415[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301312&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301312&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)
SKEOU24121.05330.26312.5330
Residuals98236.6362.415







Tukey Honest Significant Difference Comparisons
difflwruprp adj
3-21.147-1.2533.5470.674
4-23.3621.1375.5860.001
5-241.5866.4140
NA-24.5-0.3289.3280.08
4-32.2141.0383.3910
5-32.8531.3494.3570
NA-33.353-1.0917.7970.23
5-40.638-0.5671.8440.583
NA-41.138-3.2135.490.95
NA-50.5-3.9524.9520.998

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
3-2 & 1.147 & -1.253 & 3.547 & 0.674 \tabularnewline
4-2 & 3.362 & 1.137 & 5.586 & 0.001 \tabularnewline
5-2 & 4 & 1.586 & 6.414 & 0 \tabularnewline
NA-2 & 4.5 & -0.328 & 9.328 & 0.08 \tabularnewline
4-3 & 2.214 & 1.038 & 3.391 & 0 \tabularnewline
5-3 & 2.853 & 1.349 & 4.357 & 0 \tabularnewline
NA-3 & 3.353 & -1.091 & 7.797 & 0.23 \tabularnewline
5-4 & 0.638 & -0.567 & 1.844 & 0.583 \tabularnewline
NA-4 & 1.138 & -3.213 & 5.49 & 0.95 \tabularnewline
NA-5 & 0.5 & -3.952 & 4.952 & 0.998 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301312&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]3-2[/C][C]1.147[/C][C]-1.253[/C][C]3.547[/C][C]0.674[/C][/ROW]
[ROW][C]4-2[/C][C]3.362[/C][C]1.137[/C][C]5.586[/C][C]0.001[/C][/ROW]
[ROW][C]5-2[/C][C]4[/C][C]1.586[/C][C]6.414[/C][C]0[/C][/ROW]
[ROW][C]NA-2[/C][C]4.5[/C][C]-0.328[/C][C]9.328[/C][C]0.08[/C][/ROW]
[ROW][C]4-3[/C][C]2.214[/C][C]1.038[/C][C]3.391[/C][C]0[/C][/ROW]
[ROW][C]5-3[/C][C]2.853[/C][C]1.349[/C][C]4.357[/C][C]0[/C][/ROW]
[ROW][C]NA-3[/C][C]3.353[/C][C]-1.091[/C][C]7.797[/C][C]0.23[/C][/ROW]
[ROW][C]5-4[/C][C]0.638[/C][C]-0.567[/C][C]1.844[/C][C]0.583[/C][/ROW]
[ROW][C]NA-4[/C][C]1.138[/C][C]-3.213[/C][C]5.49[/C][C]0.95[/C][/ROW]
[ROW][C]NA-5[/C][C]0.5[/C][C]-3.952[/C][C]4.952[/C][C]0.998[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301312&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301312&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
3-21.147-1.2533.5470.674
4-23.3621.1375.5860.001
5-241.5866.4140
NA-24.5-0.3289.3280.08
4-32.2141.0383.3910
5-32.8531.3494.3570
NA-33.353-1.0917.7970.23
5-40.638-0.5671.8440.583
NA-41.138-3.2135.490.95
NA-50.5-3.9524.9520.998







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group40.8140.519
98

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 4 & 0.814 & 0.519 \tabularnewline
  & 98 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301312&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]0.814[/C][C]0.519[/C][/ROW]
[ROW][C] [/C][C]98[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301312&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301312&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)
Group40.8140.519
98



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