Free Statistics

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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 computationWed, 09 Dec 2015 11:50:58 +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/2015/Dec/09/t1449662180datboekc93fvhtp.htm/, Retrieved Thu, 16 May 2024 06:18:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285634, Retrieved Thu, 16 May 2024 06:18:52 +0000
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User-defined keywords
Estimated Impact78
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 Ong...] [2015-12-09 11:50:58] [35e7b9ed56e3b903c23a8574643f2583] [Current]
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Dataseries X:
1 "'vrijdag17'"
1 "'vrijdag13'"
1 "'vrijdag13'"
1 "'vrijdag13'"
1 "'vrijdag17'"
1 "'vrijdag13'"
1 "'dinsdag13'"
1 "'vrijdag17'"
2 "'vrijdag17'"
1 "'dinsdag13'"
1 "'vrijdag13'"
1 "'vrijdag17'"
1 "'dinsdag13'"
1 "'vrijdag17'"
1 "'vrijdag17'"
1 "'dinsdag13'"
1 "'vrijdag13'"
1 "'dinsdag13'"
1 "'vrijdag17'"
1 "'vrijdag17'"
1 "'vrijdag13'"
1 "'dinsdag13'"
1 "'vrijdag17'"
1 "'vrijdag13'"
1 "'dinsdag13'"
1 "'vrijdag13'"
1 "'vrijdag17'"
2 "'dinsdag13'"
1 "'vrijdag17'"
1 "'vrijdag17'"
1 "'vrijdag17'"
2 "'vrijdag13'"
2 "'dinsdag13'"
1 "'dinsdag13'"
2 "'vrijdag17'"
3 "'vrijdag13'"
1 "'dinsdag13'"
4 "'vrijdag17'"
2 "'dinsdag13'"
1 "'vrijdag17'"
1 "'vrijdag17'"
2 "'vrijdag13'"
10 "'dinsdag13'"
1 "'vrijdag13'"
7 "'dinsdag13'"
1 "'vrijdag13'"
6 "'vrijdag17'"
1 "'vrijdag13'"
1 "'dinsdag13'"
1 "'vrijdag17'"
1 "'vrijdag13'"
2 "'dinsdag13'"
1 "'vrijdag17'"
1 "'vrijdag13'"
1 "'dinsdag13'"
1 "'vrijdag17'"
4 "'vrijdag13'"
3 "'dinsdag13'"
4 "'vrijdag13'"
2 "'vrijdag17'"
4 "'vrijdag13'"
6 "'dinsdag13'"
4 "'vrijdag17'"
3 "'vrijdag13'"
1 "'dinsdag13'"
2 "'vrijdag13'"
2 "'dinsdag13'"
3 "'vrijdag17'"
1 "'vrijdag13'"
1 "'dinsdag13'"
2 "'vrijdag17'"
5 "'vrijdag13'"
3 "'dinsdag13'"
1 "'vrijdag13'"
2 "'dinsdag13'"
2 "'vrijdag17'"
9 "'vrijdag13'"
5 "'dinsdag13'"
3 "'vrijdag17'"
1 "'vrijdag13'"
1 "'dinsdag13'"
3 "'vrijdag17'"
3 "'vrijdag13'"
2 "'dinsdag13'"
3 "'vrijdag17'"
3 "'vrijdag13'"
2 "'dinsdag13'"
3 "'vrijdag17'"
3 "'vrijdag13'"
2 "'dinsdag13'"
4 "'vrijdag13'"
3 "'dinsdag13'"
5 "'vrijdag17'"
1 "'vrijdag13'"
6 "'dinsdag13'"
2 "'vrijdag17'"
4 "'dinsdag13'"
3 "'vrijdag13'"
2 "'dinsdag13'"
4 "'vrijdag17'"
2 "'vrijdag13'"
1 "'vrijdag13'"
1 "'dinsdag13'"
3 "'vrijdag13'"
3 "'dinsdag13'"
2 "'vrijdag17'"




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285634&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285634&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285634&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 time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







ANOVA Model
aantalRampen ~ cat
means2.429-0.262-0.429

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
aantalRampen  ~  cat \tabularnewline
means & 2.429 & -0.262 & -0.429 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285634&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]aantalRampen  ~  cat[/C][/ROW]
[ROW][C]means[/C][C]2.429[/C][C]-0.262[/C][C]-0.429[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285634&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285634&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
aantalRampen ~ cat
means2.429-0.262-0.429







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
cat23.2681.6340.5510.578
Residuals103305.5712.967

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
cat & 2 & 3.268 & 1.634 & 0.551 & 0.578 \tabularnewline
Residuals & 103 & 305.571 & 2.967 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285634&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]cat[/C][C]2[/C][C]3.268[/C][C]1.634[/C][C]0.551[/C][C]0.578[/C][/ROW]
[ROW][C]Residuals[/C][C]103[/C][C]305.571[/C][C]2.967[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285634&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285634&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)
cat23.2681.6340.5510.578
Residuals103305.5712.967







Tukey Honest Significant Difference Comparisons
difflwruprp adj
'vrijdag13'-'dinsdag13'-0.262-1.2340.710.798
'vrijdag17'-'dinsdag13'-0.429-1.4080.5510.553
'vrijdag17'-'vrijdag13'-0.167-1.1390.8060.913

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
'vrijdag13'-'dinsdag13' & -0.262 & -1.234 & 0.71 & 0.798 \tabularnewline
'vrijdag17'-'dinsdag13' & -0.429 & -1.408 & 0.551 & 0.553 \tabularnewline
'vrijdag17'-'vrijdag13' & -0.167 & -1.139 & 0.806 & 0.913 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285634&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]'vrijdag13'-'dinsdag13'[/C][C]-0.262[/C][C]-1.234[/C][C]0.71[/C][C]0.798[/C][/ROW]
[ROW][C]'vrijdag17'-'dinsdag13'[/C][C]-0.429[/C][C]-1.408[/C][C]0.551[/C][C]0.553[/C][/ROW]
[ROW][C]'vrijdag17'-'vrijdag13'[/C][C]-0.167[/C][C]-1.139[/C][C]0.806[/C][C]0.913[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285634&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285634&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
'vrijdag13'-'dinsdag13'-0.262-1.2340.710.798
'vrijdag17'-'dinsdag13'-0.429-1.4080.5510.553
'vrijdag17'-'vrijdag13'-0.167-1.1390.8060.913







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group20.2920.747
103

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 0.292 & 0.747 \tabularnewline
  & 103 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285634&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]2[/C][C]0.292[/C][C]0.747[/C][/ROW]
[ROW][C] [/C][C]103[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285634&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285634&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)
Group20.2920.747
103



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