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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, 15 Dec 2014 01:03:38 +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/15/t1418605536f4vroriep9pjf9r.htm/, Retrieved Thu, 16 May 2024 13:19:42 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267938, Retrieved Thu, 16 May 2024 13:19:42 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

105

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)] [ANOVA Groep - Ein...] [2014-12-15 01:03:38] [56a3e0974002d1c8d48b4dd203e70051] [Current]

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Dataseries X:

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Histogram

Boxplots

'S' 12.9
'S' 7.4
'S' 12.2
'S' 12.8
'S' 7.4
'S' 6.7
'S' 12.6
'S' 14.8
'S' 13.3
'S' 11.1
'S' 8.2
'S' 11.4
'S' 6.4
'S' 10.6
'S' 12.0
'S' 6.3
'B' 11.3
'S' 11.9
'S' 9.3
'B' 9.6
'S' 10.0
'S' 13.8
'S' 10.8
'S' 13.8
'S' 11.7
'S' 10.9
'B' 16.1
'B' 13.4
'S' 9.9
'S' 11.5
'S' 8.3
'S' 11.7
'S' 9.0
'S' 9.7
'S' 10.8
'S' 10.3
'S' 10.4
'B' 12.7
'S' 9.3
'S' 11.8
'S' 5.9
'S' 11.4
'S' 13.0
'S' 10.8
'B' 12.3
'S' 11.3
'S' 11.8
'B' 7.9
'S' 12.7
'B' 12.3
'B' 11.6
'B' 6.7
'S' 10.9
'B' 12.1
'S' 13.3
'S' 10.1
'B' 5.7
'S' 14.3
'B' 8.0
'B' 13.3
'S' 9.3
'S' 12.5
'S' 7.6
'S' 15.9
'S' 9.2
'B' 9.1
'S' 11.1
'S' 13.0
'S' 14.5
'B' 12.2
'S' 12.3
'S' 11.4
'B' 8.8
'B' 14.6
'S' 7.3
'S' 12.6
'S' NA
'S' 13.0
'B' 12.6
'S' 13.2
'B' 9.9
'S' 7.7
'B' 10.5
'B' 13.4
'B' 10.9
'B' 4.3
'B' 10.3
'B' 11.8
'B' 11.2
'B' 11.4
'B' 8.6
'B' 13.2
'B' 12.6
'B' 5.6
'B' 9.9
'B' 8.8
'B' 7.7
'B' 9.0
'B' 7.3
'B' 11.4
'B' 13.6
'B' 7.9
'B' 10.7
'B' 10.3
'B' 8.3
'B' 9.6
'B' 14.2
'B' 8.5
'B' 13.5
'B' 4.9
'B' 6.4
'B' 9.6
'B' 11.6
'B' 11.1
'S' 4.35
'S' 12.7
'S' 18.1
'S' 17.85
'B' 16.6
'B' 12.6
'S' 17.1
'S' 19.1
'S' 16.1
'S' 13.35
'S' 18.4
'S' 14.7
'S' 10.6
'S' 12.6
'S' 16.2
'S' 13.6
'B' 18.9
'S' 14.1
'S' 14.5
'S' 16.15
'S' 14.75
'S' 14.8
'S' 12.45
'S' 12.65
'S' 17.35
'S' 8.6
'S' 18.4
'S' 16.1
'B' 11.6
'S' 17.75
'S' 15.25
'S' 17.65
'S' 15.6
'S' 16.35
'S' 17.65
'S' 13.6
'S' 11.7
'S' 14.35
'S' 14.75
'S' 18.25
'S' 9.9
'S' 16
'S' 18.25
'S' 16.85
'B' 14.6
'B' 13.85
'S' 18.95
'S' 15.6
'B' 14.85
'B' 11.75
'B' 18.45
'B' 15.9
'S' 17.1
'S' 16.1
'B' 19.9
'B' 10.95
'B' 18.45
'B' 15.1
'B' 15
'B' 11.35
'B' 15.95
'B' 18.1
'B' 14.6
'S' 15.4
'S' 15.4
'B' 17.6
'S' 13.35
'S' 19.1
'B' 15.35
'S' 7.6
'B' 13.4
'B' 13.9
'S' 19.1
'B' 15.25
'B' 12.9
'B' 16.1
'B' 17.35
'B' 13.15
'B' 12.15
'B' 12.6
'B' 10.35
'B' 15.4
'B' 9.6
'B' 18.2
'B' 13.6
'B' 14.85
'S' 14.75
'B' 14.1
'B' 14.9
'B' 16.25
'S' 19.25
'B' 13.6
'S' 13.6
'B' 15.65
'S' 12.75
'B' 14.6
'S' 9.85
'B' 12.65
'B' 11.9
'B' 19.2
'B' 16.6
'B' 11.2
'S' 15.25
'S' 11.9
'B' 13.2
'S' 16.35
'S' 12.4
'B' 15.85
'S' 14.35
'S' 18.15
'B' 11.15
'B' 15.65
'S' 17.75
'B' 7.65
'S' 12.35
'S' 15.6
'S' 19.3
'B' 15.2
'S' 17.1
'B' 15.6
'S' 18.4
'S' 19.05
'S' 18.55
'S' 19.1
'B' 13.1
'S' 12.85
'S' 9.5
'S' 4.5
'B' 11.85
'S' 13.6
'S' 11.7
'B' 12.4
'S' 13.35
'B' 11.4
'B' 14.9
'B' 19.9
'S' 17.75
'B' 11.2
'B' 14.6
'S' 17.6
'S' 14.05
'S' 16.1
'S' 13.35
'S' 11.85
'S' 11.95
'B' 14.75
'B' 15.15
'S' 13.2
'B' 16.85
'B' 7.85
'S' 7.7
'B' 12.6
'B' 7.85
'B' 10.95
'B' 12.35
'B' 9.95
'B' 14.9
'B' 16.65
'B' 13.4
'B' 13.95
'B' 15.7
'B' 16.85
'B' 10.95
'B' 15.35
'B' 12.2
'B' 15.1
'B' 17.75
'B' 15.2
'S' 14.6
'B' 16.65
'B' 8.1

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'George Udny Yule' @ yule.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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267938&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267938&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267938&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	2 seconds
R Server	'George Udny Yule' @ yule.wessa.net

ANOVA Model
TOT ~ Group
means	12.729	0.487

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
TOT  ~  Group \tabularnewline
means & 12.729 & 0.487 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267938&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]TOT  ~  Group[/C][/ROW]
[ROW][C]means[/C][C]12.729[/C][C]0.487[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267938&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267938&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
TOT ~ Group
means	12.729	0.487

ANOVA Statistics
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
Group	1	16.804	16.804	1.467	0.227
Residuals	282	3229.108	11.451

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Group & 1 & 16.804 & 16.804 & 1.467 & 0.227 \tabularnewline
Residuals & 282 & 3229.108 & 11.451 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267938&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]Group[/C][C]1[/C][C]16.804[/C][C]16.804[/C][C]1.467[/C][C]0.227[/C][/ROW]
[ROW][C]Residuals[/C][C]282[/C][C]3229.108[/C][C]11.451[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267938&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267938&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)
Group	1	16.804	16.804	1.467	0.227
Residuals	282	3229.108	11.451

Tukey Honest Significant Difference Comparisons
	diff	lwr	upr	p adj
S-B	0.487	-0.304	1.278	0.227

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
S-B & 0.487 & -0.304 & 1.278 & 0.227 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267938&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]S-B[/C][C]0.487[/C][C]-0.304[/C][C]1.278[/C][C]0.227[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267938&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267938&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
S-B	0.487	-0.304	1.278	0.227

Levenes Test for Homogeneity of Variance
	Df	F value	Pr(>F)
Group	1	0.409	0.523
	282

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 1 & 0.409 & 0.523 \tabularnewline
  & 282 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267938&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]0.409[/C][C]0.523[/C][/ROW]
[ROW][C] [/C][C]282[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267938&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267938&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	1	0.409	0.523
	282

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code