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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 computationWed, 31 Dec 2014 12:34:54 +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/2014/Dec/31/t1420029658s77fd358mhy91oi.htm/, Retrieved Thu, 31 Oct 2024 23:36:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=271808, Retrieved Thu, 31 Oct 2024 23:36:23 +0000
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IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact134
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)] [] [2010-11-01 13:37:53] [b98453cac15ba1066b407e146608df68]
- RMP   [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-10-21 08:05:52] [32b17a345b130fdf5cc88718ed94a974]
- R PD      [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-12-31 12:34:54] [42cc6d0d468769986f2f8c7c7fdc2d20] [Current]
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Dataseries X:
1 1 4 0 2 "'T'" 0 3 -1 1 4
1 1 0 0 2 "'T'" 0 -1 -1 1 0
0 1 4 1 1.5 "'T'" 1 4 1 1.5 5
0 0 0 0 0 "'T'" 0 0 0 0 0
1 1 0 1 1 "'T'" 0 -1 0 0 0
1 1 0 1 2 "'T'" 0 -1 0 1 0
1 1 0 1 2 "'T'" 0 -1 0 1 0
0 1 0 1 1 "'T'" 1 0 1 1 1
0 1 4 1 2 "'T'" 1 4 1 2 5
1 1 1 0 2 "'T'" 0 0 -1 1 1
0 0 4 0 2 "'T'" 0 4 0 2 4
0 1 0 1 0 "'T'" 1 0 1 0 1
0 1 2 1 0 "'T'" 1 2 1 0 3
0 1 0 0 2 "'T'" 1 0 0 2 1
0 0 0 NA NA "'T'" 0 0 NA NA 0
1 1 0 1 2 "'T'" 0 -1 0 1 0
1 1 1 0 2 "'T'" 0 0 -1 1 1
1 1 0 1 0.5 "'T'" 0 -1 0 -0.5 0
0 1 0 1 2 "'T'" 1 0 1 2 1
0 0 2 1 0 "'T'" 0 2 1 0 2
1 1 2 1 2 "'T'" 0 1 0 1 2
1 1 1 0 0 "'T'" 0 0 -1 -1 1
0 0 2 NA NA "'T'" 0 2 NA NA 2
1 0 0 NA NA "'T'" -1 -1 NA NA -1
1 1 3 1 2 "'T'" 0 2 0 1 3
1 0 0 1 0 "'T'" -1 -1 0 -1 -1
1 1 0 NA NA "'T'" 0 -1 NA NA 0
0 0 0 NA NA "'T'" 0 0 NA NA 0
0 0 1 0 2 "'T'" 0 1 0 2 1
1 1 0 1 1 "'T'" 0 -1 0 0 0
1 0 0 0 0.5 "'T'" -1 -1 -1 -0.5 -1
1 1 4 0 2 "'T'" 0 3 -1 1 4
0 0 0 1 0.5 "'T'" 0 0 1 0.5 0
0 0 1 NA NA "'T'" 0 1 NA NA 1
0 0 0 1 0.5 "'T'" 0 0 1 0.5 0
1 1 0 NA NA "'T'" 0 -1 NA NA 0
1 1 4 0 2 "'T'" 0 3 -1 1 4
0 1 1 1 0 "'E'" 1 1 1 0 2
0 1 0 1 1 "'E'" 1 0 1 1 1
1 1 4 1 2 "'E'" 0 3 0 1 4
1 1 0 1 1 "'E'" 0 -1 0 0 0
1 1 4 1 2 "'E'" 0 3 0 1 4
1 1 0 0 0 "'E'" 0 -1 -1 -1 0
1 1 0 1 0.5 "'E'" 0 -1 0 -0.5 0
0 0 0 1 0 "'E'" 0 0 1 0 0
0 1 4 1 2 "'E'" 1 4 1 2 5
0 1 0 0 0 "'E'" 1 0 0 0 1
1 1 0 0 1 "'E'" 0 -1 -1 0 0
1 1 4 1 2 "'E'" 0 3 0 1 4
0 0 4 0 0.5 "'E'" 0 4 0 0.5 4
0 1 0 1 2 "'E'" 1 0 1 2 1
1 1 1 1 2 "'E'" 0 0 0 1 1
0 1 0 1 2 "'E'" 1 0 1 2 1
0 0 4 NA NA "'E'" 0 4 NA NA 4
0 1 0 0 0 "'E'" 1 0 0 0 1
0 1 2 1 0 "'E'" 1 2 1 0 3
0 1 0 1 0.5 "'E'" 1 0 1 0.5 1
0 1 4 NA NA "'E'" 1 4 NA NA 5
0 0 4 0 2 "'E'" 0 4 0 2 4
0 0 0 NA NA "'E'" 0 0 NA NA 0
0 1 0 1 0 "'E'" 1 0 1 0 1
1 1 4 1 2 "'E'" 0 3 0 1 4
1 1 0 1 1 "'E'" 0 -1 0 0 0
1 0 0 1 0 "'E'" -1 -1 0 -1 -1
0 0 2 1 2 "'E'" 0 2 1 2 2
0 1 0 0 1 "'E'" 1 0 0 1 1
0 1 0 1 2 "'E'" 1 0 1 2 1
0 0 0 0 0 "'E'" 0 0 0 0 0
1 1 4 1 1 "'E'" 0 3 0 0 4
1 1 4 1 2 "'E'" 0 3 0 1 4
0 1 2 0 0 "'S'" 1 2 0 0 3
0 1 0 0 0 "'S'" 1 0 0 0 1
0 1 0 0 0 "'S'" 1 0 0 0 1
0 1 4 0 0 "'S'" 1 4 0 0 5
1 1 0 1 2 "'S'" 0 -1 0 1 0
1 0 0 1 2 "'S'" -1 -1 0 1 -1
0 0 1 1 2 "'S'" 0 1 1 2 1
1 1 2 1 2 "'S'" 0 1 0 1 2
1 0 0 1 2 "'S'" -1 -1 0 1 -1
1 1 2 1 2 "'S'" 0 1 0 1 2
0 0 0 1 2 "'S'" 0 0 1 2 0
0 0 4 1 2 "'S'" 0 4 1 2 4
0 0 4 1 2 "'S'" 0 4 1 2 4
1 0 0 1 2 "'S'" -1 -1 0 1 -1
0 0 0 NA NA "'S'" 0 0 NA NA 0
0 0 4 1 2 "'S'" 0 4 1 2 4
1 0 0 NA NA "'S'" -1 -1 NA NA -1
1 1 4 1 2 "'S'" 0 3 0 1 4
0 0 2 1 2 "'S'" 0 2 1 2 2
0 0 2 NA NA "'S'" 0 2 NA NA 2
1 1 0 0 0 "'S'" 0 -1 -1 -1 0
1 1 0 1 2 "'S'" 0 -1 0 1 0
1 1 4 NA NA "'S'" 0 3 NA NA 4
0 1 0 1 2 "'S'" 1 0 1 2 1
1 1 0 1 2 "'S'" 0 -1 0 1 0
1 1 0 1 2 "'S'" 0 -1 0 1 0
1 1 4 1 2 "'S'" 0 3 0 1 4
1 1 4 1 2 "'S'" 0 3 0 1 4
0 0 0 NA NA "'S'" 0 0 NA NA 0
0 0 0 0 0 "'S'" 0 0 0 0 0
1 1 2 0 0 "'S'" 0 1 -1 -1 2
0 0 1 1 2 "'S'" 0 1 1 2 1
0 0 0 0 0 "'S'" 0 0 0 0 0
0 0 2 1 2 "'S'" 0 2 1 2 2
0 1 1 0 0 "'S'" 1 1 0 0 2




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271808&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271808&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271808&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 time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







ANOVA Model
Exp1_post1-pre ~ Exp1_Treat
means0.3640.0570.108

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Exp1_post1-pre  ~  Exp1_Treat \tabularnewline
means & 0.364 & 0.057 & 0.108 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271808&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Exp1_post1-pre  ~  Exp1_Treat[/C][/ROW]
[ROW][C]means[/C][C]0.364[/C][C]0.057[/C][C]0.108[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271808&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271808&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
Exp1_post1-pre ~ Exp1_Treat
means0.3640.0570.108







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Exp1_Treat34.911.6375.7390.001
Residuals10229.090.285

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Exp1_Treat & 3 & 4.91 & 1.637 & 5.739 & 0.001 \tabularnewline
Residuals & 102 & 29.09 & 0.285 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271808&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]Exp1_Treat[/C][C]3[/C][C]4.91[/C][C]1.637[/C][C]5.739[/C][C]0.001[/C][/ROW]
[ROW][C]Residuals[/C][C]102[/C][C]29.09[/C][C]0.285[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271808&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271808&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)
Exp1_Treat34.911.6375.7390.001
Residuals10229.090.285







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=271808&T=3

[TABLE]
[ROW][C]Must Include Intercept to use Tukey Test [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271808&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271808&T=3

As an alternative you can also use a 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)
Group21.110.334
102

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 1.11 & 0.334 \tabularnewline
  & 102 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=271808&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]1.11[/C][C]0.334[/C][/ROW]
[ROW][C] [/C][C]102[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=271808&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=271808&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)
Group21.110.334
102



Parameters (Session):
par1 = 7 ; par2 = 6 ; par3 = FALSE ;
Parameters (R input):
par1 = 7 ; par2 = 6 ; par3 = FALSE ;
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')