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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

Sat, 17 Dec 2011 14:14:28 -0500

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/2011/Dec/17/t1324149313n1st0v7bnx6efew.htm/, Retrieved Tue, 16 Apr 2024 20:21:58 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=156569, Retrieved Tue, 16 Apr 2024 20:21:58 +0000

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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 PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2011-12-17 19:14:28] [cf06acd98038b4d81f3740047b300562] [Current]

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Histogram

Boxplots

0	1	2	'S'	1	2	3
0	1	0	'S'	1	0	1
0	1	0	'S'	1	0	1
0	1	4	'S'	1	4	5
1	1	0	'S'	0	-1	0
1	0	0	'S'	-1	-1	-1
0	0	1	'S'	0	1	1
1	1	2	'S'	0	1	2
1	0	0	'S'	-1	-1	-1
1	1	2	'S'	0	1	2
0	0	0	'S'	0	0	0
0	0	4	'S'	0	4	4
0	0	4	'S'	0	4	4
1	0	0	'S'	-1	-1	-1
0	0	0	'S'	0	0	0
0	0	4	'S'	0	4	4
1	0	0	'S'	-1	-1	-1
1	1	4	'S'	0	3	4
0	0	2	'S'	0	2	2
0	0	2	'S'	0	2	2
1	1	0	'S'	0	-1	0
1	1	0	'S'	0	-1	0
1	1	4	'S'	0	3	4
0	1	0	'S'	1	0	1
1	1	0	'S'	0	-1	0
1	1	0	'S'	0	-1	0
1	1	4	'S'	0	3	4
1	1	4	'S'	0	3	4
0	0	0	'S'	0	0	0
0	0	0	'S'	0	0	0
1	1	2	'S'	0	1	2
0	0	1	'S'	0	1	1
0	0	0	'S'	0	0	0
0	0	2	'S'	0	2	2
0	1	1	'S'	1	1	2

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	'AstonUniversity' @ aston.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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156569&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156569&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156569&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	'AstonUniversity' @ aston.wessa.net

ANOVA Model
Tot-pre ~ post2-pre
means	-0.444	0.819	2.111	2.694	4.444	4.694

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Tot-pre  ~  post2-pre \tabularnewline
means & -0.444 & 0.819 & 2.111 & 2.694 & 4.444 & 4.694 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156569&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Tot-pre  ~  post2-pre[/C][/ROW]
[ROW][C]means[/C][C]-0.444[/C][C]0.819[/C][C]2.111[/C][C]2.694[/C][C]4.444[/C][C]4.694[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156569&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156569&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-pre ~ post2-pre
means	-0.444	0.819	2.111	2.694	4.444	4.694

ANOVA Statistics
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
post2-pre	5	101.755	20.351	85.156	0
Residuals	29	6.931	0.239

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
post2-pre & 5 & 101.755 & 20.351 & 85.156 & 0 \tabularnewline
Residuals & 29 & 6.931 & 0.239 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156569&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]post2-pre[/C][C]5[/C][C]101.755[/C][C]20.351[/C][C]85.156[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]29[/C][C]6.931[/C][C]0.239[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156569&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156569&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)
post2-pre	5	101.755	20.351	85.156	0
Residuals	29	6.931	0.239

Tukey Honest Significant Difference Comparisons
	diff	lwr	upr	p adj
0--1	0.819	0.095	1.544	0.02
1--1	2.111	1.326	2.897	0
2--1	2.694	1.799	3.59	0
3--1	4.444	3.549	5.34	0
4--1	4.694	3.799	5.59	0
1-0	1.292	0.487	2.097	0
2-0	1.875	0.962	2.788	0
3-0	3.625	2.712	4.538	0
4-0	3.875	2.962	4.788	0
2-1	0.583	-0.379	1.545	0.452
3-1	2.333	1.371	3.295	0
4-1	2.583	1.621	3.545	0
3-2	1.75	0.696	2.804	0
4-2	2	0.946	3.054	0
4-3	0.25	-0.804	1.304	0.977

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
0--1 & 0.819 & 0.095 & 1.544 & 0.02 \tabularnewline
1--1 & 2.111 & 1.326 & 2.897 & 0 \tabularnewline
2--1 & 2.694 & 1.799 & 3.59 & 0 \tabularnewline
3--1 & 4.444 & 3.549 & 5.34 & 0 \tabularnewline
4--1 & 4.694 & 3.799 & 5.59 & 0 \tabularnewline
1-0 & 1.292 & 0.487 & 2.097 & 0 \tabularnewline
2-0 & 1.875 & 0.962 & 2.788 & 0 \tabularnewline
3-0 & 3.625 & 2.712 & 4.538 & 0 \tabularnewline
4-0 & 3.875 & 2.962 & 4.788 & 0 \tabularnewline
2-1 & 0.583 & -0.379 & 1.545 & 0.452 \tabularnewline
3-1 & 2.333 & 1.371 & 3.295 & 0 \tabularnewline
4-1 & 2.583 & 1.621 & 3.545 & 0 \tabularnewline
3-2 & 1.75 & 0.696 & 2.804 & 0 \tabularnewline
4-2 & 2 & 0.946 & 3.054 & 0 \tabularnewline
4-3 & 0.25 & -0.804 & 1.304 & 0.977 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156569&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]0--1[/C][C]0.819[/C][C]0.095[/C][C]1.544[/C][C]0.02[/C][/ROW]
[ROW][C]1--1[/C][C]2.111[/C][C]1.326[/C][C]2.897[/C][C]0[/C][/ROW]
[ROW][C]2--1[/C][C]2.694[/C][C]1.799[/C][C]3.59[/C][C]0[/C][/ROW]
[ROW][C]3--1[/C][C]4.444[/C][C]3.549[/C][C]5.34[/C][C]0[/C][/ROW]
[ROW][C]4--1[/C][C]4.694[/C][C]3.799[/C][C]5.59[/C][C]0[/C][/ROW]
[ROW][C]1-0[/C][C]1.292[/C][C]0.487[/C][C]2.097[/C][C]0[/C][/ROW]
[ROW][C]2-0[/C][C]1.875[/C][C]0.962[/C][C]2.788[/C][C]0[/C][/ROW]
[ROW][C]3-0[/C][C]3.625[/C][C]2.712[/C][C]4.538[/C][C]0[/C][/ROW]
[ROW][C]4-0[/C][C]3.875[/C][C]2.962[/C][C]4.788[/C][C]0[/C][/ROW]
[ROW][C]2-1[/C][C]0.583[/C][C]-0.379[/C][C]1.545[/C][C]0.452[/C][/ROW]
[ROW][C]3-1[/C][C]2.333[/C][C]1.371[/C][C]3.295[/C][C]0[/C][/ROW]
[ROW][C]4-1[/C][C]2.583[/C][C]1.621[/C][C]3.545[/C][C]0[/C][/ROW]
[ROW][C]3-2[/C][C]1.75[/C][C]0.696[/C][C]2.804[/C][C]0[/C][/ROW]
[ROW][C]4-2[/C][C]2[/C][C]0.946[/C][C]3.054[/C][C]0[/C][/ROW]
[ROW][C]4-3[/C][C]0.25[/C][C]-0.804[/C][C]1.304[/C][C]0.977[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156569&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156569&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
0--1	0.819	0.095	1.544	0.02
1--1	2.111	1.326	2.897	0
2--1	2.694	1.799	3.59	0
3--1	4.444	3.549	5.34	0
4--1	4.694	3.799	5.59	0
1-0	1.292	0.487	2.097	0
2-0	1.875	0.962	2.788	0
3-0	3.625	2.712	4.538	0
4-0	3.875	2.962	4.788	0
2-1	0.583	-0.379	1.545	0.452
3-1	2.333	1.371	3.295	0
4-1	2.583	1.621	3.545	0
3-2	1.75	0.696	2.804	0
4-2	2	0.946	3.054	0
4-3	0.25	-0.804	1.304	0.977

Levenes Test for Homogeneity of Variance
	Df	F value	Pr(>F)
Group	5	0.512	0.765
	29

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 5 & 0.512 & 0.765 \tabularnewline
  & 29 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156569&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]5[/C][C]0.512[/C][C]0.765[/C][/ROW]
[ROW][C] [/C][C]29[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156569&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156569&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	5	0.512	0.765
	29

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 7 ; par2 = 6 ; par3 = TRUE ;

Parameters (R input):

par1 = 7 ; 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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code