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Author

*The author of this computation has been verified*

R Software Module

rwasp_Two Factor ANOVA.wasp

Title produced by software

Two-Way ANOVA

Date of computation

Wed, 02 Jun 2010 10:30:44 +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/2010/Jun/02/t1275474681s07af6v8eiw8436.htm/, Retrieved Sat, 20 Apr 2024 06:04:53 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=77215, Retrieved Sat, 20 Apr 2024 06:04:53 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

138

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Two-Way ANOVA] [two-way anova wit...] [2010-05-26 17:02:24] [98fd0e87c3eb04e0cc2efde01dbafab6]
- R PD  [Two-Way ANOVA] [ANOVA with good l...] [2010-05-28 23:09:47] [98fd0e87c3eb04e0cc2efde01dbafab6]
- R       [Variability] [ANOVA with better...] [2010-05-29 09:47:12] [98fd0e87c3eb04e0cc2efde01dbafab6]
- R         [Variability] [ANOVA with better...] [2010-05-29 09:54:40] [98fd0e87c3eb04e0cc2efde01dbafab6]
- RMPD        [T-Tests] [Section A Q2] [2010-06-02 09:38:01] [d85e8cd4dd2ccdf2c3dfa3761837f774]
- RMPD            [Two-Way ANOVA] [two factor anova ...] [2010-06-02 10:30:44] [c3b4251791f021ae4f6c89bdb108a1e2] [Current]

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Dataseries X:

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Histogram

Boxplots

25	-25	-19	6	-26	-12
0	-23	-24	-5	-1	-4
-16	-28	-4	14	22	13
5	-22	-24	-11	3	-27
11	-22	0	14	-26	-7
-6	-10	-4	-5	4	-20
42	-20	5	-22	-21	-4
-2	-24	-1	7	-19	-10
-13	-24	-9	14	-12	-3
14	-22	-5	15	9	-11
4	-23	-6	-6	-9	2
-22	-19	4	9	-27	-9
19	-2	-13	-5	-10	20
6	12	-1		-37	9
-6	-8	-3		0	-8
	-17	-11		-10	8
	-30	-6			-6
		-4			6

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 Ronald Aylmer Fisher' @ 193.190.124.24
R Framework error message	Warning: there are blank lines in the 'Data X' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.
R Engine error message	Error in as.vector(data) : element 89 is empty; the part of the args list of 'list' being evaluated was: (25, -25, -19, 6, -26, -12, 0, -23, -24, -5, -1, -4, -16, -28, -4, 14, 22, 13, 5, -22, -24, -11, 3, -27, 11, -22, 0, 14, -26, -7, -6, -10, -4, -5, 4, -20, 42, -20, 5, -22, -21, -4, -2, -24, -1, 7, -19, -10, -13, -24, -9, 14, -12, -3, 14, -22, -5, 15, 9, -11, 4, -23, -6, -6, -9, 2, -22, -19, 4, 9, -27, -9, 19, -2, -13, -5, -10, 20, 6, 12, -1, -37, 9, -6, -8, -3, 0, -8, , -17, -11, -10, 8, , -30, -6, -6, , -4, 6) Calls: array -> as.vector Execution halted

\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 Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
R Framework error message & Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values. \tabularnewline
R Engine error message & Error in as.vector(data) : element 89 is empty;
   the part of the args list of 'list' being evaluated was:
   (25, -25, -19, 6, -26, -12, 0, -23, -24, -5, -1, -4, -16, -28, -4, 14, 22, 13, 5, -22, -24, -11, 3, -27, 11, -22, 0, 14, -26, -7, -6, -10, -4, -5, 4, -20, 42, -20, 5, -22, -21, -4, -2, -24, -1, 7, -19, -10, -13, -24, -9, 14, -12, -3, 14, -22, -5, 15, 9, -11, 4, -23, -6, -6, -9, 2, -22, -19, 4, 9, -27, -9, 19, -2, -13, -5, -10, 20, 6, 12, -1, -37, 9, -6, -8, -3, 0, -8, , -17, -11, -10, 8, , -30, -6, -6, , -4, 6)
Calls: array -> as.vector
Execution halted
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77215&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 Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[ROW][C]R Framework error message[/C][C]Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.[/C][/ROW]
[ROW][C]R Engine error message[/C][C]Error in as.vector(data) : element 89 is empty;
   the part of the args list of 'list' being evaluated was:
   (25, -25, -19, 6, -26, -12, 0, -23, -24, -5, -1, -4, -16, -28, -4, 14, 22, 13, 5, -22, -24, -11, 3, -27, 11, -22, 0, 14, -26, -7, -6, -10, -4, -5, 4, -20, 42, -20, 5, -22, -21, -4, -2, -24, -1, 7, -19, -10, -13, -24, -9, 14, -12, -3, 14, -22, -5, 15, 9, -11, 4, -23, -6, -6, -9, 2, -22, -19, 4, 9, -27, -9, 19, -2, -13, -5, -10, 20, 6, 12, -1, -37, 9, -6, -8, -3, 0, -8, , -17, -11, -10, 8, , -30, -6, -6, , -4, 6)
Calls: array -> as.vector
Execution halted
[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77215&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77215&T=0

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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 Ronald Aylmer Fisher' @ 193.190.124.24
R Framework error message	Warning: there are blank lines in the 'Data X' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.
R Engine error message	Error in as.vector(data) : element 89 is empty; the part of the args list of 'list' being evaluated was: (25, -25, -19, 6, -26, -12, 0, -23, -24, -5, -1, -4, -16, -28, -4, 14, 22, 13, 5, -22, -24, -11, 3, -27, 11, -22, 0, 14, -26, -7, -6, -10, -4, -5, 4, -20, 42, -20, 5, -22, -21, -4, -2, -24, -1, 7, -19, -10, -13, -24, -9, 14, -12, -3, 14, -22, -5, 15, 9, -11, 4, -23, -6, -6, -9, 2, -22, -19, 4, 9, -27, -9, 19, -2, -13, -5, -10, 20, 6, 12, -1, -37, 9, -6, -8, -3, 0, -8, , -17, -11, -10, 8, , -30, -6, -6, , -4, 6) Calls: array -> as.vector Execution halted

Parameters (Session):

par1 = 081667846_0.813327968819067_Wed Jun 2 06:02:04 2010 ; par2 = nx1 ; par3 = 700d3807a311ec90775dd3210d5eb9b4 ; par4 = -2 ;

Parameters (R input):

par1 = 1 ; par2 = 2 ; par3 = 3 ; par4 = FALSE ;

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

cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
cat3 <- as.numeric(par3)
intercept<-as.logical(par4)
x <- t(x)
x1<-as.numeric(x[,cat1])
f1<-as.character(x[,cat2])
f2 <- as.character(x[,cat3])
xdf<-data.frame(x1,f1, f2)
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
(V3 <-dimnames(y)[[1]][cat3])
names(xdf)<-c('Response', 'Treatment_A', 'Treatment_B')
if(intercept == FALSE) (lmxdf<-lm(Response ~ Treatment_A * Treatment_B- 1, data = xdf) ) else (lmxdf<-lm(Response ~ Treatment_A * Treatment_B, 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$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, lmxdf$call['formula'],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$coefficients[i], digits=3),,FALSE)
}
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Statistics', 5+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ',,TRUE)
a<-table.element(a, 'Df',,FALSE)
a<-table.element(a, 'Sum Sq',,FALSE)
a<-table.element(a, 'Mean Sq',,FALSE)
a<-table.element(a, 'F value',,FALSE)
a<-table.element(a, 'Pr(>F)',,FALSE)
a<-table.row.end(a)
for(i in 1 : length(rownames(anova.xdf))-1){
a<-table.row.start(a)
a<-table.element(a,rownames(anova.xdf)[i] ,,TRUE)
a<-table.element(a, anova.xdf$Df[1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[i], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[i], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'F value'[i], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Pr(>F)'[i], 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$'Df'[i+1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[i+1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[i+1], digits=3),,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
bitmap(file='anovaplot.png')
boxplot(Response ~ Treatment_A + Treatment_B, data=xdf, xlab=V2, ylab=V1, main='Boxplots of ANOVA Groups')
dev.off()
bitmap(file='designplot.png')
xdf2 <- xdf # to preserve xdf make copy for function
names(xdf2) <- c(V1, V2, V3)
plot.design(xdf2, main='Design Plot of Group Means')
dev.off()
bitmap(file='interactionplot.png')
interaction.plot(xdf$Treatment_A, xdf$Treatment_B, xdf$Response, xlab=V2, ylab=V1, trace.label=V3, main='Possible Interactions Between Anova Groups')
dev.off()
if(intercept==TRUE){
thsd<-TukeyHSD(aov.xdf)
names(thsd) <- c(V2, V3, paste(V2, ':', V3, sep=''))
bitmap(file='TukeyHSDPlot.png')
layout(matrix(c(1,2,3,3), 2,2))
plot(thsd, las=1)
dev.off()
}
if(intercept==TRUE){
ntables<-length(names(thsd))
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(nt in 1:ntables){
for(i in 1:length(rownames(thsd[[nt]]))){
a<-table.row.start(a)
a<-table.element(a,rownames(thsd[[nt]])[i], 1, TRUE)
for(j in 1:4){
a<-table.element(a,round(thsd[[nt]][i,j], digits=3), 1, FALSE)
}
a<-table.row.end(a)
}
} # end nt
a<-table.end(a)
table.save(a,file='hsdtable.tab')
}#end if hsd tables
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')

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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code