Free Statistics

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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 computationWed, 17 Dec 2014 18:30:21 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/17/t1418841040mgh4181lop2gfo8.htm/, Retrieved Thu, 16 May 2024 16:36:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270562, Retrieved Thu, 16 May 2024 16:36:17 +0000
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Estimated Impact75
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-       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-12-17 18:30:21] [2493f5613ad82cc6ad9068825c65e4dc] [Current]
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Dataseries X:
'Vrouw' 149
'Vrouw' 148
'Man' 158
'Man' 128
'Man' 224
'Vrouw' 159
'Man' 105
'Man' 159
'Man' 167
'Man' 165
'Man' 159
'Vrouw' 176
'Vrouw' 54
'Vrouw' 91
'Man' 163
'Vrouw' 124
'Vrouw' 121
'Man' 148
'Vrouw' 221
'Man' 149
'Man' 244
'Man' 148
'Man' 150
'Vrouw' 153
'Vrouw' 94
'Vrouw' 156
'Man' 132
'Man' 105
'Vrouw' 151
'Man' 131
'Vrouw' 157
'Man' 162
'Man' 163
'Man' 59
'Vrouw' 187
'Man' 116
'Man' 148
'Man' 155
'Man' 125
'Man' 116
'Man' 138
'Man' 164
'Vrouw' 162
'Vrouw' 99
'Vrouw' 186
'Man' 188
'Vrouw' 177
'Vrouw' 139
'Vrouw' 162
'Man' 108
'Vrouw' 159
'Man' 110
'Vrouw' 96
'Vrouw' 87
'Man' 97
'Vrouw' 127
'Vrouw' 74
'Man' 114
'Vrouw' 95
'Vrouw' 121
'Man' 130
'Vrouw' 52
'Vrouw' 118
'Man' 48
'Man' 50
'Man' 150
'Man' 154
'Vrouw' 109
'Man' 68
'Man' 194
'Vrouw' 158
'Man' 159
'Vrouw' 67
'Vrouw' 147
'Man' 39
'Man' 100
'Man' 111
'Man' 138
'Man' 101
'Man' 131
'Man' 101
'Man' 114
'Vrouw' 165
'Man' 114
'Man' 111
'Man' 75
'Man' 82
'Man' 121
'Man' 32
'Vrouw' 150
'Man' 117
'Man' 71
'Man' 165
'Man' 154
'Man' 126
'Vrouw' 149
'Vrouw' 145
'Man' 120
'Vrouw' 109
'Vrouw' 132
'Man' 172
'Vrouw' 169
'Man' 114
'Man' 156
'Vrouw' 172
'Man' 68
'Man' 89
'Man' 167
'Vrouw' 113
'Vrouw' 115
'Vrouw' 78
'Vrouw' 118
'Man' 87
'Vrouw' 173
'Man' 2
'Vrouw' 162
'Man' 49
'Vrouw' 122
'Man' 96
'Vrouw' 100
'Vrouw' 82
'Man' 100
'Vrouw' 115
'Man' 141
'Man' 165
'Man' 165
'Man' 110
'Man' 118
'Vrouw' 158
'Man' 146
'Vrouw' 49
'Vrouw' 90
'Vrouw' 121
'Man' 155
'Vrouw' 104
'Man' 147
'Vrouw' 110
'Vrouw' 108
'Vrouw' 113
'Vrouw' 115
'Man' 61
'Man' 60
'Man' 109
'Man' 68
'Vrouw' 111
'Vrouw' 77
'Man' 73
'Vrouw' 151
'Vrouw' 89
'Vrouw' 78
'Vrouw' 110
'Man' 220
'Man' 65
'Vrouw' 141
'Vrouw' 117
'Man' 122
'Vrouw' 63
'Man' 44
'Man' 52
'Vrouw' 131
'Man' 101
'Man' 42
'Man' 152
'Vrouw' 107
'Vrouw' 77
'Vrouw' 154
'Man' 103
'Man' 96
'Man' 175
'Man' 57
'Vrouw' 112
'Vrouw' 143
'Vrouw' 49
'Man' 110
'Man' 131
'Vrouw' 167
'Vrouw' 56
'Vrouw' 137
'Man' 86
'Man' 121
'Vrouw' 149
'Vrouw' 168
'Vrouw' 140
'Man' 88
'Man' 168
'Man' 94
'Man' 51
'Vrouw' 48
'Man' 145
'Man' 66
'Man' 85
'Vrouw' 109
'Vrouw' 63
'Man' 102
'Vrouw' 162
'Man' 86
'Man' 114
'Vrouw' 164
'Man' 119
'Vrouw' 126
'Man' 132
'Man' 142
'Vrouw' 83
'Man' 94
'Vrouw' 81
'Man' 166
'Vrouw' 110
'Man' 64
'Vrouw' 93
'Vrouw' 104
'Man' 105
'Man' 49
'Vrouw' 88
'Man' 95
'Man' 102
'Vrouw' 99
'Man' 63
'Vrouw' 76
'Vrouw' 109
'Man' 117
'Man' 57
'Vrouw' 120
'Man' 73
'Vrouw' 91
'Vrouw' 108
'Man' 105
'Vrouw' 117
'Vrouw' 119




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=270562&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=270562&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270562&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
LFM ~ gender
means115.6084.877

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
LFM  ~  gender \tabularnewline
means & 115.608 & 4.877 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270562&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]LFM  ~  gender[/C][/ROW]
[ROW][C]means[/C][C]115.608[/C][C]4.877[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270562&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270562&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
LFM ~ gender
means115.6084.877







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
gender11343.371343.370.8320.363
Residuals226365039.521615.219

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
gender & 1 & 1343.37 & 1343.37 & 0.832 & 0.363 \tabularnewline
Residuals & 226 & 365039.52 & 1615.219 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270562&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]gender[/C][C]1[/C][C]1343.37[/C][C]1343.37[/C][C]0.832[/C][C]0.363[/C][/ROW]
[ROW][C]Residuals[/C][C]226[/C][C]365039.52[/C][C]1615.219[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270562&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270562&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)
gender11343.371343.370.8320.363
Residuals226365039.521615.219







Tukey Honest Significant Difference Comparisons
difflwruprp adj
Vrouw-Man4.877-5.66115.4160.363

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
Vrouw-Man & 4.877 & -5.661 & 15.416 & 0.363 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270562&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]Vrouw-Man[/C][C]4.877[/C][C]-5.661[/C][C]15.416[/C][C]0.363[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270562&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270562&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
difflwruprp adj
Vrouw-Man4.877-5.66115.4160.363







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group12.3080.13
226

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 1 & 2.308 & 0.13 \tabularnewline
  & 226 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270562&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]2.308[/C][C]0.13[/C][/ROW]
[ROW][C] [/C][C]226[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270562&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270562&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)
Group12.3080.13
226



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