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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, 08 Dec 2014 15:48:41 +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/08/t1418053735ii80ux3l4xvszad.htm/, Retrieved Sun, 19 May 2024 11:15:15 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=264059, Retrieved Sun, 19 May 2024 11:15:15 +0000

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Original text written by user:

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No (this computation is public)

User-defined keywords

Estimated Impact

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] [2014-12-08 15:48:41] [e719845b3f21bd57beb5defeff8ed9b5] [Current]

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Dataseries X:

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Histogram

Boxplots

'S'	24
'S'	17
'S'	5
'S'	17
'S'	4
'S'	11
'S'	13
'S'	21
'S'	9
'S'	0
'S'	-25
'S'	17
'S'	-5
'S'	26
'S'	15
'S'	7
'B'	10
'S'	23
'S'	14
'B'	5
'S'	7
'S'	6
'S'	6
'S'	13
'S'	15
'S'	5
'S'	17
'B'	11
'B'	10
'S'	3
'S'	23
'S'	41
'S'	6
'S'	26
'S'	14
'S'	26
'S'	20
'S'	9
'S'	16
'B'	8
'S'	-3
'S'	29
'S'	13
'S'	11
'S'	18
'S'	41
'B'	35
'S'	-1
'S'	10
'B'	8
'S'	9
'B'	16
'B'	19
'B'	13
'S'	17
'B'	6
'S'	1
'S'	13
'B'	34
'S'	12
'B'	18
'B'	15
'S'	3
'S'	14
'S'	34
'S'	18
'S'	7
'B'	18
'S'	7
'S'	3
'S'	20
'B'	27
'S'	8
'S'	13
'B'	4
'B'	-10
'S'	21
'S'	41
'S'	-6
'S'	25
'B'	21
'S'	0
'B'	34
'S'	18
'B'	17
'B'	18
'B'	23
'B'	12
'B'	19
'B'	6
'B'	6
'B'	15
'B'	12
'B'	19
'B'	10
'B'	31
'B'	-1
'B'	33
'B'	12
'B'	4
'B'	7
'B'	11
'B'	22
'B'	10
'B'	11
'B'	10
'B'	42
'B'	11
'B'	15
'B'	12
'B'	4
'B'	23
'B'	6
'B'	6
'B'	6
'B'	5
'S'	-1
'S'	40
'S'	21
'S'	13
'B'	5
'B'	1
'S'	5
'S'	4
'S'	7
'S'	13
'S'	3
'S'	9
'S'	12
'S'	13
'S'	27
'S'	11
'B'	-1
'S'	12
'S'	12
'S'	8
'S'	22
'S'	7
'S'	28
'S'	-6
'S'	16
'S'	17
'S'	12
'S'	-10
'B'	23
'S'	23
'S'	4
'S'	24
'S'	4
'S'	13
'S'	7
'S'	-21
'S'	8
'S'	8
'S'	9
'S'	6
'S'	19
'S'	4
'S'	4
'S'	30
'B'	-4
'B'	-7
'S'	-12
'S'	16
'B'	-7
'B'	26
'B'	17
'B'	11
'S'	15
'S'	-2
'B'	-3
'B'	16
'B'	21
'B'	13
'B'	-5
'B'	7
'B'	-5
'B'	11
'B'	13
'S'	2
'S'	4
'B'	21
'S'	8
'S'	37
'B'	16
'S'	23
'B'	8
'B'	19
'S'	17
'B'	14
'B'	27
'B'	4
'B'	5
'B'	7
'B'	3
'B'	19
'B'	16
'B'	8
'B'	-1
'B'	2
'B'	17
'B'	-3
'S'	24
'B'	14
'B'	17
'B'	-2
'S'	-28
'B'	-13
'S'	10
'B'	26
'S'	28
'B'	26
'S'	16
'B'	10
'B'	10
'B'	28
'B'	24
'B'	12
'S'	14
'S'	14
'B'	23
'S'	19
'S'	4
'B'	23
'S'	7
'S'	11
'B'	23
'B'	14
'S'	20
'B'	14
'S'	6
'S'	24
'S'	19
'B'	16
'S'	4
'B'	9
'S'	12
'S'	16
'S'	2
'S'	10
'B'	13
'S'	23
'S'	13
'S'	3
'B'	17
'S'	11
'S'	1
'B'	4
'S'	-2
'B'	34
'B'	7
'B'	11
'S'	6
'B'	12
'B'	21
'S'	14
'S'	19
'S'	5
'S'	5
'S'	17
'S'	18
'B'	17
'B'	38
'S'	24
'B'	7
'B'	18
'S'	15
'B'	19
'B'	13
'B'	-3
'B'	20
'B'	9
'B'	2
'B'	12
'B'	7
'B'	15
'B'	4
'B'	1
'B'	8
'B'	15
'B'	28
'B'	15
'B'	11
'B'	5
'S'	11
'B'	14
'B'	20
'S'	11
'S'	-3
'S'	12
'S'	38
'S'	28
'S'	16
'S'	9
'S'	5
'S'	30
'S'	25
'S'	15
'S'	27
'B'	19
'S'	19
'B'	5
'S'	40
'S'	22
'S'	20
'S'	24
'S'	11
'S'	7
'S'	40
'S'	19
'S'	32
'S'	3
'S'	15
'S'	12
'S'	28
'S'	1
'S'	14
'S'	11
'S'	10
'S'	25
'S'	24
'S'	22
'S'	14
'S'	22
'S'	13
'S'	20
'S'	-24
'S'	17
'S'	28
'S'	25
'B'	-1
'S'	16
'B'	5
'B'	0
'B'	13
'S'	-6
'S'	32
'S'	10
'B'	15
'S'	16
'S'	-6
'S'	14
'S'	-2
'B'	22
'S'	-5
'B'	26
'S'	16
'S'	9
'S'	17
'B'	24
'B'	22
'B'	23
'S'	10
'S'	2
'S'	12
'B'	17
'S'	8
'S'	27
'S'	12
'S'	8
'S'	15
'S'	11
'B'	15
'S'	20
'S'	17
'B'	3
'B'	20
'B'	2
'S'	25
'S'	39
'B'	13
'B'	13
'B'	9
'B'	17
'S'	16
'B'	10
'B'	16
'S'	14
'B'	8
'S'	-7
'B'	14
'S'	4
'B'	19
'S'	-6
'S'	9
'B'	9
'B'	14
'B'	24
'S'	19
'B'	11
'S'	24
'B'	22
'S'	11
'B'	14
'B'	2
'B'	24
'S'	10
'B'	-5
'S'	-8
'S'	0
'B'	7
'S'	22
'B'	9
'S'	36
'B'	13
'B'	9
'B'	3
'B'	15
'S'	10
'S'	22
'S'	-1
'S'	-5
'S'	14
'S'	18
'S'	14
'B'	7
'B'	2
'B'	26
'S'	-2
'S'	16
'B'	13
'S'	7
'S'	9
'B'	10
'S'	12
'B'	17
'S'	33
'S'	15
'B'	15
'S'	27
'B'	7
'B'	28
'S'	8
'S'	15
'S'	23
'B'	24
'B'	12
'B'	2
'S'	2
'S'	20
'B'	27
'B'	13
'B'	10
'B'	8
'B'	14
'B'	17
'S'	28
'S'	4
'B'	7
'S'	-2
'B'	5
'S'	11
'S'	26
'B'	-4
'B'	9
'S'	4
'S'	12
'S'	23
'S'	19
'B'	24
'B'	24
'B'	21
'B'	17
'B'	16
'B'	10
'B'	13
'B'	14
'S'	14
'B'	14
'S'	27
'S'	20
'B'	7
'S'	16
'S'	18
'S'	18
'B'	18
'B'	16
'B'	3
'B'	7
'S'	22
'S'	20
'S'	17
'B'	-2
'B'	15
'B'	24
'B'	4
'B'	23
'S'	4
'S'	-1
'S'	16
'B'	19
'B'	-17
'B'	0
'B'	19
'S'	18

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Sir Maurice George Kendall' @ kendall.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 Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264059&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 Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264059&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264059&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	1 seconds
R Server	'Sir Maurice George Kendall' @ kendall.wessa.net

ANOVA Model
score ~ Treatment
means	12.641	13.165

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
score  ~  Treatment \tabularnewline
means & 12.641 & 13.165 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264059&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]score  ~  Treatment[/C][/ROW]
[ROW][C]means[/C][C]12.641[/C][C]13.165[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264059&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264059&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 ~ Treatment
means	12.641	13.165

ANOVA Statistics
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
Treatment	2	82781.144	41390.572	377.357	0
Residuals	493	54074.856	109.685

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Treatment & 2 & 82781.144 & 41390.572 & 377.357 & 0 \tabularnewline
Residuals & 493 & 54074.856 & 109.685 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264059&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]Treatment[/C][C]2[/C][C]82781.144[/C][C]41390.572[/C][C]377.357[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]493[/C][C]54074.856[/C][C]109.685[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264059&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264059&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)
Treatment	2	82781.144	41390.572	377.357	0
Residuals	493	54074.856	109.685

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=264059&T=3

[TABLE]
[ROW][C]Must Include Intercept to use Tukey Test [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264059&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264059&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
	Df	F value	Pr(>F)
Group	1	3.515	0.061
	493

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 1 & 3.515 & 0.061 \tabularnewline
  & 493 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264059&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]3.515[/C][C]0.061[/C][/ROW]
[ROW][C] [/C][C]493[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264059&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264059&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	3.515	0.061
	493

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 2 ; par2 = 1 ; par3 = FALSE ;

Parameters (R input):

par1 = 2 ; par2 = 1 ; 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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code