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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_One Factor ANOVA.wasp

Title produced by software

One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)

Date of computation

Mon, 01 Dec 2014 12:04:32 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/01/t1417435510sh08vvmylnudsw9.htm/, Retrieved Sun, 19 May 2024 13:19:47 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=261777, Retrieved Sun, 19 May 2024 13:19:47 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

107

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)] [] [2014-10-18 18:42:11] [8f0f7d8870e334acea674e48ede2c797]
- R  D    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-12-01 12:04:32] [310e7528d8f6aa5642dc98f4186768d1] [Current]

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'Graphical_Interpretation' 5
'Graphical_Interpretation' 2
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'Graphical_Interpretation' 3
'Graphical_Interpretation' 4
'Graphical_Interpretation' 6
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'Graphical_Interpretation' 2
'Graphical_Interpretation' 6
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'Graphical_Interpretation' 3
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'Graphical_Interpretation' 4
'Graphical_Interpretation' 6
'Graphical_Interpretation' 3
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'Graphical_Interpretation' 4
'Graphical_Interpretation' 4
'Graphical_Interpretation' 3
'Graphical_Interpretation' 6
'Graphical_Interpretation' 5
'Graphical_Interpretation' 4
'Graphical_Interpretation' 4
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'Graphical_Interpretation' 6
'Graphical_Interpretation' 5
'Graphical_Interpretation' 4
'Graphical_Interpretation' 5
'Graphical_Interpretation' 3
'Graphical_Interpretation' 5
'Graphical_Interpretation' 5
'Graphical_Interpretation' 5
'Graphical_Interpretation' 5
'Graphical_Interpretation' 4
'Graphical_Interpretation' 5
'Graphical_Interpretation' 6
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'Graphical_Interpretation' 4
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'Graphical_Interpretation' 3

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	7 seconds
R Server	'Gwilym Jenkins' @ jenkins.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 & 7 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261777&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]7 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261777&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261777&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 Output	view raw output of R engine
Computing time	7 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

ANOVA Model
Score ~ Test
means	4.338	2.536	0.336

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Score  ~  Test \tabularnewline
means & 4.338 & 2.536 & 0.336 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261777&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Score  ~  Test[/C][/ROW]
[ROW][C]means[/C][C]4.338[/C][C]2.536[/C][C]0.336[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261777&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261777&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
Score ~ Test
means	4.338	2.536	0.336

ANOVA Statistics
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
Test	2	2769.617	1384.809	489.567	0
Residuals	2187	6186.237	2.829

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Test & 2 & 2769.617 & 1384.809 & 489.567 & 0 \tabularnewline
Residuals & 2187 & 6186.237 & 2.829 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261777&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]Test[/C][C]2[/C][C]2769.617[/C][C]1384.809[/C][C]489.567[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]2187[/C][C]6186.237[/C][C]2.829[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261777&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261777&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
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
Test	2	2769.617	1384.809	489.567	0
Residuals	2187	6186.237	2.829

Tukey Honest Significant Difference Comparisons
	diff	lwr	upr	p adj
Calculation-Algebraic_Reasoning	2.536	2.329	2.742	0
Graphical_Interpretation-Algebraic_Reasoning	0.336	0.129	0.542	0
Graphical_Interpretation-Calculation	-2.2	-2.406	-1.994	0

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
Calculation-Algebraic_Reasoning & 2.536 & 2.329 & 2.742 & 0 \tabularnewline
Graphical_Interpretation-Algebraic_Reasoning & 0.336 & 0.129 & 0.542 & 0 \tabularnewline
Graphical_Interpretation-Calculation & -2.2 & -2.406 & -1.994 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261777&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]Calculation-Algebraic_Reasoning[/C][C]2.536[/C][C]2.329[/C][C]2.742[/C][C]0[/C][/ROW]
[ROW][C]Graphical_Interpretation-Algebraic_Reasoning[/C][C]0.336[/C][C]0.129[/C][C]0.542[/C][C]0[/C][/ROW]
[ROW][C]Graphical_Interpretation-Calculation[/C][C]-2.2[/C][C]-2.406[/C][C]-1.994[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261777&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261777&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
	diff	lwr	upr	p adj
Calculation-Algebraic_Reasoning	2.536	2.329	2.742	0
Graphical_Interpretation-Algebraic_Reasoning	0.336	0.129	0.542	0
Graphical_Interpretation-Calculation	-2.2	-2.406	-1.994	0

Levenes Test for Homogeneity of Variance
	Df	F value	Pr(>F)
Group	2	37.909	0
	2187

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 37.909 & 0 \tabularnewline
  & 2187 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261777&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]37.909[/C][C]0[/C][/ROW]
[ROW][C] [/C][C]2187[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261777&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261777&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
	Df	F value	Pr(>F)
Group	2	37.909	0
	2187

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = TRUE ;

Parameters (R input):

par1 = 2 ; par2 = 1 ; par3 = TRUE ;

R code (references can be found in the software module):

par3 <- 'TRUE'
par2 <- '2'
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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code