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Description of Statistical Computation

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 computationFri, 16 Dec 2016 12:03:11 +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/Dec/16/t1481886210wr1ikgm6m9880mf.htm/, Retrieved Thu, 02 May 2024 23:37:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300175, Retrieved Thu, 02 May 2024 23:37:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact71

Tree of Dependent Computations

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)] [One-Way Anova] [2016-12-16 11:03:11] [11d51d7e350bf29ed16c1cdae557fc53] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1 'Blauw'
4 'Blauw'
6 'Blauw'
1 'Blauw'
8 'Blauw'
3 'Blauw'
8 'Blauw'
7 'Blauw'
7 'Blauw'
4 'Blauw'
6 'Blauw'
2 'Blauw'
5 'Blauw'
2 'Blauw'
5 'Blauw'
5 'Geel'
5 'Geel'
1 'Geel'
7 'Geel'
2 'Geel'
4 'Geel'
1 'Geel'
2 'Geel'
2 'Geel'
5 'Geel'
3 'Geel'
7 'Geel'
6 'Geel'
9 'Geel'
4 'Geel'
4 'Bruin'
1 'Bruin'
5 'Bruin'
0 'Bruin'
2 'Bruin'
3 'Bruin'
1 'Bruin'
2 'Bruin'
3 'Bruin'
2 'Bruin'
1 'Bruin'
2 'Bruin'
1 'Bruin'
2 'Bruin'
1 'Bruin'
1 'Groen'
1 'Groen'
0 'Groen'
6 'Groen'
3 'Groen'
3 'Groen'
2 'Groen'
1 'Groen'
3 'Groen'
1 'Groen'
0 'Groen'
3 'Groen'
1 'Groen'
2 'Groen'
1 'Groen'
0 'Rood'
2 'Rood'
0 'Rood'
0 'Rood'
1 'Rood'
4 'Rood'
1 'Rood'
6 'Rood'
1 'Rood'
2 'Rood'
5 'Rood'
1 'Rood'
2 'Rood'
2 'Rood'
2 'Rood'
9 'Oranje'
5 'Oranje'
7 'Oranje'
6 'Oranje'
5 'Oranje'
3 'Oranje'
6 'Oranje'
2 'Oranje'
3 'Oranje'
7 'Oranje'
4 'Oranje'
5 'Oranje'
2 'Oranje'
2 'Oranje'
5 'Oranje'

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300175&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=300175&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300175&T=0

As an alternative you can also use a QR Code:  
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 Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center






ANOVA Model
A ~ B
means4.6-2.6-0.4-2.7330.133-2.667

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
A  ~  B \tabularnewline
means & 4.6 & -2.6 & -0.4 & -2.733 & 0.133 & -2.667 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300175&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]A  ~  B[/C][/ROW]
[ROW][C]means[/C][C]4.6[/C][C]-2.6[/C][C]-0.4[/C][C]-2.733[/C][C]0.133[/C][C]-2.667[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300175&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300175&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

ANOVA Model
A ~ B
means4.6-2.6-0.4-2.7330.133-2.667






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
B5151.95630.3917.840
Residuals84325.63.876 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
B & 5 & 151.956 & 30.391 & 7.84 & 0 \tabularnewline
Residuals & 84 & 325.6 & 3.876 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300175&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]B[/C][C]5[/C][C]151.956[/C][C]30.391[/C][C]7.84[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]84[/C][C]325.6[/C][C]3.876[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300175&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300175&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
B5151.95630.3917.840
Residuals84325.63.876






Tukey Honest Significant Difference Comparisons
difflwruprp adj
Bruin-Blauw-2.6-4.697-0.5030.007
Geel-Blauw-0.4-2.4971.6970.993
Groen-Blauw-2.733-4.83-0.6370.004
Oranje-Blauw0.133-1.9632.231
Rood-Blauw-2.667-4.763-0.570.005
Geel-Bruin2.20.1034.2970.034
Groen-Bruin-0.133-2.231.9631
Oranje-Bruin2.7330.6374.830.004
Rood-Bruin-0.067-2.1632.031
Groen-Geel-2.333-4.43-0.2370.02
Oranje-Geel0.533-1.5632.630.976
Rood-Geel-2.267-4.363-0.170.026
Oranje-Groen2.8670.774.9630.002
Rood-Groen0.067-2.032.1631
Rood-Oranje-2.8-4.897-0.7030.003

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
Bruin-Blauw & -2.6 & -4.697 & -0.503 & 0.007 \tabularnewline
Geel-Blauw & -0.4 & -2.497 & 1.697 & 0.993 \tabularnewline
Groen-Blauw & -2.733 & -4.83 & -0.637 & 0.004 \tabularnewline
Oranje-Blauw & 0.133 & -1.963 & 2.23 & 1 \tabularnewline
Rood-Blauw & -2.667 & -4.763 & -0.57 & 0.005 \tabularnewline
Geel-Bruin & 2.2 & 0.103 & 4.297 & 0.034 \tabularnewline
Groen-Bruin & -0.133 & -2.23 & 1.963 & 1 \tabularnewline
Oranje-Bruin & 2.733 & 0.637 & 4.83 & 0.004 \tabularnewline
Rood-Bruin & -0.067 & -2.163 & 2.03 & 1 \tabularnewline
Groen-Geel & -2.333 & -4.43 & -0.237 & 0.02 \tabularnewline
Oranje-Geel & 0.533 & -1.563 & 2.63 & 0.976 \tabularnewline
Rood-Geel & -2.267 & -4.363 & -0.17 & 0.026 \tabularnewline
Oranje-Groen & 2.867 & 0.77 & 4.963 & 0.002 \tabularnewline
Rood-Groen & 0.067 & -2.03 & 2.163 & 1 \tabularnewline
Rood-Oranje & -2.8 & -4.897 & -0.703 & 0.003 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300175&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]Bruin-Blauw[/C][C]-2.6[/C][C]-4.697[/C][C]-0.503[/C][C]0.007[/C][/ROW]
[ROW][C]Geel-Blauw[/C][C]-0.4[/C][C]-2.497[/C][C]1.697[/C][C]0.993[/C][/ROW]
[ROW][C]Groen-Blauw[/C][C]-2.733[/C][C]-4.83[/C][C]-0.637[/C][C]0.004[/C][/ROW]
[ROW][C]Oranje-Blauw[/C][C]0.133[/C][C]-1.963[/C][C]2.23[/C][C]1[/C][/ROW]
[ROW][C]Rood-Blauw[/C][C]-2.667[/C][C]-4.763[/C][C]-0.57[/C][C]0.005[/C][/ROW]
[ROW][C]Geel-Bruin[/C][C]2.2[/C][C]0.103[/C][C]4.297[/C][C]0.034[/C][/ROW]
[ROW][C]Groen-Bruin[/C][C]-0.133[/C][C]-2.23[/C][C]1.963[/C][C]1[/C][/ROW]
[ROW][C]Oranje-Bruin[/C][C]2.733[/C][C]0.637[/C][C]4.83[/C][C]0.004[/C][/ROW]
[ROW][C]Rood-Bruin[/C][C]-0.067[/C][C]-2.163[/C][C]2.03[/C][C]1[/C][/ROW]
[ROW][C]Groen-Geel[/C][C]-2.333[/C][C]-4.43[/C][C]-0.237[/C][C]0.02[/C][/ROW]
[ROW][C]Oranje-Geel[/C][C]0.533[/C][C]-1.563[/C][C]2.63[/C][C]0.976[/C][/ROW]
[ROW][C]Rood-Geel[/C][C]-2.267[/C][C]-4.363[/C][C]-0.17[/C][C]0.026[/C][/ROW]
[ROW][C]Oranje-Groen[/C][C]2.867[/C][C]0.77[/C][C]4.963[/C][C]0.002[/C][/ROW]
[ROW][C]Rood-Groen[/C][C]0.067[/C][C]-2.03[/C][C]2.163[/C][C]1[/C][/ROW]
[ROW][C]Rood-Oranje[/C][C]-2.8[/C][C]-4.897[/C][C]-0.703[/C][C]0.003[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300175&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300175&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tukey Honest Significant Difference Comparisons
difflwruprp adj
Bruin-Blauw-2.6-4.697-0.5030.007
Geel-Blauw-0.4-2.4971.6970.993
Groen-Blauw-2.733-4.83-0.6370.004
Oranje-Blauw0.133-1.9632.231
Rood-Blauw-2.667-4.763-0.570.005
Geel-Bruin2.20.1034.2970.034
Groen-Bruin-0.133-2.231.9631
Oranje-Bruin2.7330.6374.830.004
Rood-Bruin-0.067-2.1632.031
Groen-Geel-2.333-4.43-0.2370.02
Oranje-Geel0.533-1.5632.630.976
Rood-Geel-2.267-4.363-0.170.026
Oranje-Groen2.8670.774.9630.002
Rood-Groen0.067-2.032.1631
Rood-Oranje-2.8-4.897-0.7030.003






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group51.8490.112
84 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 5 & 1.849 & 0.112 \tabularnewline
  & 84 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300175&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]1.849[/C][C]0.112[/C][/ROW]
[ROW][C] [/C][C]84[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300175&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300175&T=4

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group51.8490.112
84


Figures (Output of Computation)

Input Parameters & R Code

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