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R Software Modulerwasp_One Factor ANOVA.wasp
Title produced by softwareOne-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)
Date of computationThu, 20 Dec 2012 10:52:31 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/20/t1356018786x401gwbmie705h4.htm/, Retrieved Thu, 28 Mar 2024 17:38:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=202805, Retrieved Thu, 28 Mar 2024 17:38:19 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact136
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]
- R P   [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [paper deel 3 one ...] [2012-12-17 11:36:58] [97c624f8202925579dccb4f50bae925c]
-   PD      [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [paper deel 5 one ...] [2012-12-20 15:52:31] [d41d8cd98f00b204e9800998ecf8427e] [Current]
-             [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [paper deel 5 one-...] [2012-12-20 17:00:53] [783d8509970888a6ec44a5a7a0d2a339]
-               [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Paper: deel 5 One...] [2012-12-21 22:44:59] [318be0e97d03618d227a3f8f0242bca0]
- R P           [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2012-12-22 02:45:12] [0604709baf8ca89a71bc0fcadc3cdffd]
-   P         [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [paper deel 5 one ...] [2012-12-21 13:40:29] [74be16979710d4c4e7c6647856088456]
- R P         [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Paper deel 5 One ...] [2012-12-21 14:53:00] [d31c851fa7fbee45412c0a7bcdad10e5]
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Dataseries X:
4	'Yes'	1	NA	'NoStats'	2	'No'	'Good'
4	'No'	2	NA	'NoStats'	2	'No'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Bad'
4	'Yes'	2	NA	'NoStats'	2	'Yes'	'Good'
4	'No'	2	NA	'NoStats'	2	'No'	'Bad'
4	'No'	1	NA	'NoStats'	2	'No'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Good'
4	'Yes'	2	NA	'NoStats'	2	'No'	'Bad'
4	'Yes'	1	NA	'NoStats'	2	'No'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Bad'
4	'No'	2	NA	'UsedStats'	2	'Yes'	'Bad'
4	'Yes'	1	NA	'NoStats'	2	'No'	'Bad'
4	'No'	2	NA	'UsedStats'	2	'Yes'	'Good'
4	'No'	1	NA	'UsedStats'	2	'Yes'	'Good'
4	'Yes'	1	NA	'UsedStats'	1	'Yes'	'Bad'
4	'Yes'	1	NA	'NoStats'	2	'No'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Good'
4	'No'	1	NA	'UsedStats'	1	'Yes'	'Good'
4	'Yes'	2	NA	'NoStats'	2	'Yes'	'Bad'
4	'Yes'	2	NA	'UsedStats'	2	'Yes'	'Good'
4	'No'	2	NA	'NoStats'	2	'Yes'	'Good'
4	'Yes'	2	NA	'NoStats'	2	'Yes'	'Good'
4	'No'	1	NA	'UsedStats'	2	'No'	'Good'
4	'No'	2	NA	'UsedStats'	2	'Yes'	'Bad'
4	'Yes'	2	NA	'NoStats'	2	'No'	'Good'
4	'No'	2	NA	'UsedStats'	2	'No'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Good'
4	'No'	2	NA	'NoStats'	2	'Yes'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Bad'
4	'Yes'	2	NA	'NoStats'	2	'No'	'Bad'
4	'Yes'	2	NA	'NoStats'	2	'Yes'	'Bad'
4	'No'	1	NA	'NoStats'	2	'No'	'Good'
4	'No'	2	NA	'NoStats'	2	'No'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Bad'
4	'Yes'	1	NA	'UsedStats'	2	'Yes'	'Bad'
4	'No'	2	NA	'UsedStats'	2	'No'	'Good'
4	'No'	2	NA	'NoStats'	2	'Yes'	'Good'
4	'No'	1	NA	'NoStats'	2	'Yes'	'Bad'
4	'No'	2	NA	'UsedStats'	1	'Yes'	'Good'
4	'No'	2	NA	'UsedStats'	2	'No'	'Good'
4	'Yes'	2	NA	'NoStats'	2	'Yes'	'Good'
4	'Yes'	1	NA	'NoStats'	2	'No'	'Bad'
4	'No'	2	NA	'NoStats'	2	'Yes'	'Bad'
4	'No'	2	NA	'NoStats'	2	'Yes'	'Good'
4	'No'	2	NA	'NoStats'	2	'No'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Good'
4	'No'	2	NA	'NoStats'	2	'Yes'	'Good'
4	'No'	2	NA	'NoStats'	2	'No'	'Bad'
4	'No'	1	NA	'UsedStats'	2	'No'	'Bad'
4	'Yes'	1	NA	'UsedStats'	1	'Yes'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Good'
4	'No'	2	NA	'UsedStats'	1	'No'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Bad'
4	'No'	1	NA	'UsedStats'	2	'No'	'Good'
4	'No'	2	NA	'UsedStats'	2	'Yes'	'Good'
4	'No'	2	NA	'NoStats'	2	'No'	'Good'
4	'No'	2	NA	'NoStats'	2	'No'	'Good'
4	'Yes'	1	NA	'UsedStats'	1	'Yes'	'Good'
4	'Yes'	1	NA	'NoStats'	2	'No'	'Good'
4	'No'	2	NA	'UsedStats'	2	'Yes'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Bad'
4	'Yes'	1	NA	'NoStats'	2	'No'	'Good'
4	'No'	2	NA	'NoStats'	2	'No'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Bad'
4	'No'	1	NA	'UsedStats'	1	'Yes'	'Bad'
4	'Yes'	2	NA	'NoStats'	2	'No'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Good'
4	'No'	2	NA	'UsedStats'	2	'No'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Good'
4	'No'	2	NA	'UsedStats'	2	'No'	'Good'
4	'Yes'	2	NA	'UsedStats'	2	'No'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Good'
4	'No'	1	NA	'NoStats'	2	'Yes'	'Good'
4	'No'	2	NA	'NoStats'	2	'No'	'Good'
4	'No'	2	NA	'UsedStats'	2	'Yes'	'Good'
4	'No'	1	NA	'UsedStats'	1	'No'	'Good'
4	'No'	1	NA	'NoStats'	2	'Yes'	'Bad'
4	'No'	2	NA	'NoStats'	2	'No'	'Bad'
4	'Yes'	2	NA	'UsedStats'	2	'No'	'Good'
4	'No'	2	NA	'NoStats'	2	'No'	'Bad'
4	'No'	2	NA	'UsedStats'	1	'No'	'Bad'
4	'No'	2	NA	'NoStats'	2	'Yes'	'Good'
4	'Yes'	2	NA	'NoStats'	2	'No'	'Bad'




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=202805&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=202805&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=202805&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 time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







ANOVA Model
treatment4 ~ correctanalysis
means1.3330.446

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
treatment4  ~  correctanalysis \tabularnewline
means & 1.333 & 0.446 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=202805&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]treatment4  ~  correctanalysis[/C][/ROW]
[ROW][C]means[/C][C]1.333[/C][C]0.446[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=202805&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=202805&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
treatment4 ~ correctanalysis
means1.3330.446







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
correctanalysis11.6021.6028.8260.004
Residuals8415.2470.182

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
correctanalysis & 1 & 1.602 & 1.602 & 8.826 & 0.004 \tabularnewline
Residuals & 84 & 15.247 & 0.182 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=202805&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]correctanalysis[/C][C]1[/C][C]1.602[/C][C]1.602[/C][C]8.826[/C][C]0.004[/C][/ROW]
[ROW][C]Residuals[/C][C]84[/C][C]15.247[/C][C]0.182[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=202805&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=202805&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)
correctanalysis11.6021.6028.8260.004
Residuals8415.2470.182







Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-10.4460.1470.7440.004

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & 0.446 & 0.147 & 0.744 & 0.004 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=202805&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]0.446[/C][C]0.147[/C][C]0.744[/C][C]0.004[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=202805&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=202805&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
2-10.4460.1470.7440.004







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group10.5620.455
84

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 1 & 0.562 & 0.455 \tabularnewline
  & 84 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=202805&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]1[/C][C]0.562[/C][C]0.455[/C][/ROW]
[ROW][C] [/C][C]84[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=202805&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=202805&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)
Group10.5620.455
84



Parameters (Session):
par1 = 3 ; par2 = 6 ; par3 = TRUE ;
Parameters (R input):
par1 = 3 ; par2 = 6 ; 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){
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<-levene.test(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')