## Free Statistics

of Irreproducible Research!

Author's title
Author*Unverified author*
R Software Modulerwasp_Two Factor ANOVA.wasp
Title produced by softwareTwo-Way ANOVA
Date of computationWed, 26 Oct 2016 03:07:47 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Oct/26/t1477447697nxmzl8pmt5tt3pe.htm/, Retrieved Thu, 07 Jul 2022 15:13:36 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Thu, 07 Jul 2022 15:13:36 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
68.3	0	'FP'
60.6	0	'FP'
59	0	'FP'
48.3	0	'FP'
52.6	0	FS'
63.6	0	'FS'
46.3	0	'FS'
60	0	'FS'
62.7	0	RP'
58.6	0	'RP'
61.6	0	'RP'
46.3	0	'RP'
44	0	RS'
50	0	'RS'
57.3	0	'RS'
64.3	0	'RS'
61.6	96	'FP'
64	96	'FP'
66.3	96	'FP'
58.6	96	'FP'
60	96	FS'
67.6	96	'FS'
62.3	96	'FS'
63.6	96	'FS'
62.3	96	RP'
63	96	'RP'
59	96	'RP'
61.3	96	'RP'
65.6	96	'RS'
65.6	96	'RS'
70	96	'RS'
71	96	'RS'


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

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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 0 seconds R Server 'Gertrude Mary Cox' @ cox.wessa.net

Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = 3 ; par4 = FALSE ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = 3 ; par4 = FALSE ;
R code (references can be found in the software module):
par4 <- 'FALSE'par3 <- '3'par2 <- '2'par1 <- '1'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$'Mean Sq'[i+1], digits=3),,FALSE)a<-table.element(a, ' ',,FALSE)a<-table.element(a, ' ',,FALSE)a<-table.row.end(a)a<-table.end(a)table.save(a,file='mytable1.tab')bitmap(file='anovaplot.png')boxplot(Response ~ Treatment_A + Treatment_B, data=xdf, xlab=V2, ylab=V1, main='Boxplots of ANOVA Groups')dev.off()bitmap(file='designplot.png')xdf2 <- xdf # to preserve xdf make copy for functionnames(xdf2) <- c(V1, V2, V3)plot.design(xdf2, main='Design Plot of Group Means')dev.off()bitmap(file='interactionplot.png')interaction.plot(xdf$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 nta<-table.end(a)table.save(a,file='hsdtable.tab')}#end if hsd tablesif(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')