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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_One Factor ANOVA.wasp
Title produced by softwareOne-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)
Date of computationMon, 28 Nov 2011 14:11:19 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/28/t1322507517z7wa2v457muill6.htm/, Retrieved Fri, 29 Mar 2024 06:38:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=147973, Retrieved Fri, 29 Mar 2024 06:38:07 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact116
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi Square Measure of Association- Free Statistics Software (Calculator)] [One Way ANOVA wit...] [2009-11-29 13:09:19] [98fd0e87c3eb04e0cc2efde01dbafab6]
-   PD  [Chi Square Measure of Association- Free Statistics Software (Calculator)] [One Way ANOVA for...] [2009-12-01 13:05:10] [3fdd735c61ad38cbc9b3393dc997cdb7]
- R P     [Chi Square Measure of Association- Free Statistics Software (Calculator)] [CARE date with Tu...] [2009-12-01 18:33:48] [98fd0e87c3eb04e0cc2efde01dbafab6]
-   P       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [CARE Data with Tu...] [2010-11-23 12:09:38] [3fdd735c61ad38cbc9b3393dc997cdb7]
- RM          [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [IQ and Mothers Age] [2011-11-21 16:34:08] [98fd0e87c3eb04e0cc2efde01dbafab6]
- R P           [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Q1] [2011-11-28 18:41:53] [8be39d68cf3e859c626e6f1d2306767c]
-    D              [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [q2] [2011-11-28 19:11:19] [ba39d87c5b07fdeb99ead4bedf199d9b] [Current]
-   P                 [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2011-12-06 21:03:12] [9fd651d676601517bf05777b8cc41305]
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Dataseries X:
1	44
1	30
1	46
1	58
1	36
1	52
1	44
1	55
1	41
1	48
1	39
1	39
1	57
1	54
1	60
1	59
1	44
1	56
1	36
1	32
1	60
1	48
1	39
1	37
1	31
1	48
1	55
1	43
1	51
1	48
1	54
1	57
1	30
1	41
1	52
1	46
1	41
1	55
1	39
1	43
1	41
1	46
1	44
1	49
1	62
1	55
1	50
1	45
1	46
2	44
2	34
2	56
2	59
2	50
2	50
2	48
2	46
2	59
2	54
2	44
2	50
2	43
2	39
2	42
2	52
2	41
2	46
2	57
2	43
2	52
2	57
2	59
2	56
2	41
2	50
2	50
2	41
2	48
2	48
2	37
2	55
2	44
2	30
2	44
2	54
2	55
2	59
2	48
2	59
2	37
2	39
2	48
2	36
2	56
2	54
2	52
2	66
2	55
2	60
2	52
2	36
2	32
2	34
2	36
2	56
2	50
2	39
2	52
2	44
2	46
2	44
2	41
2	56
2	54
2	50
2	52
2	55
2	62
2	52
2	57
2	34
2	30
2	39
2	34
2	37
2	52
2	58
2	48
2	46
2	46
2	52
2	50
3	37
3	52
3	54
3	41
3	60
3	56
3	43
3	41
3	55
3	46
3	39
3	48
3	39
3	54
3	48
3	62
3	50
3	56
3	66
3	66
3	48
3	52
3	59
3	50
3	50
3	66
3	58
3	43




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147973&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147973&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147973&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







ANOVA Model
MVRBIQ0 ~ MC30VRB
means1.511.521.621.81.8221.611.71.92312.1671221.6672.1251.6221.7522.75

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
MVRBIQ0  ~  MC30VRB \tabularnewline
means & 1.5 & 1 & 1.5 & 2 & 1.6 & 2 & 1.8 & 1.8 & 2 & 2 & 1.6 & 1 & 1.7 & 1.923 & 1 & 2.167 & 1 & 2 & 2 & 1.667 & 2.125 & 1.6 & 2 & 2 & 1.75 & 2 & 2.75 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147973&T=1

[TABLE]
[ROW]ANOVA Model[/C][/ROW]
[ROW]MVRBIQ0  ~  MC30VRB[/C][/ROW]
[ROW][C]means[/C][C]1.5[/C][C]1[/C][C]1.5[/C][C]2[/C][C]1.6[/C][C]2[/C][C]1.8[/C][C]1.8[/C][C]2[/C][C]2[/C][C]1.6[/C][C]1[/C][C]1.7[/C][C]1.923[/C][C]1[/C][C]2.167[/C][C]1[/C][C]2[/C][C]2[/C][C]1.667[/C][C]2.125[/C][C]1.6[/C][C]2[/C][C]2[/C][C]1.75[/C][C]2[/C][C]2.75[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147973&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147973&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
MVRBIQ0 ~ MC30VRB
means1.511.521.621.81.8221.611.71.92312.1671221.6672.1251.6221.7522.75







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MC30VRB27570.43521.12744.9120
Residuals13362.5650.47

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
MC30VRB & 27 & 570.435 & 21.127 & 44.912 & 0 \tabularnewline
Residuals & 133 & 62.565 & 0.47 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147973&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]MC30VRB[/C][C]27[/C][C]570.435[/C][C]21.127[/C][C]44.912[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]133[/C][C]62.565[/C][C]0.47[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147973&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147973&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
DfSum SqMean SqF valuePr(>F)
MC30VRB27570.43521.12744.9120
Residuals13362.5650.47







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=147973&T=3

[TABLE]
[ROW][C]Must Include Intercept to use Tukey Test [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147973&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147973&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
DfF valuePr(>F)
Group260.6590.892
133

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 26 & 0.659 & 0.892 \tabularnewline
  & 133 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147973&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]26[/C][C]0.659[/C][C]0.892[/C][/ROW]
[ROW][C] [/C][C]133[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147973&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147973&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
DfF valuePr(>F)
Group260.6590.892
133



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = FALSE ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; 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){
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')