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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 computationWed, 10 Dec 2014 14:49:24 +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/10/t1418223006pfceaazobj4o62j.htm/, Retrieved Tue, 28 May 2024 20:11:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=265302, Retrieved Tue, 28 May 2024 20:11:54 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact78

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)] [] [2014-12-10 14:49:24] [80e094d39007183c022472d38ca26b6f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0	83,00
0	63,00
0	94,50
0	58,00
0	73,00
0	69,25
0	74,25
0	58,75
0	92,25
0	79,50
0	99,50
0	54,75
0	92,25
0	75,50
0	75,00
0	56,75
0	79,75
0	90,50
0	73,00
0	88,00
0	76,75
0	67,00
0	69,50
0	76,25
0	64,50
0	80,50
0	86,75
0	65,75
0	60,75
0	63,00
0	51,75
0	77,00
0	48,00
0	91,00
0	68,00
0	74,25
0	70,50
0	74,50
0	81,25
0	68,00
0	78,25
0	73,00
1	63,25
1	59,50
1	96,00
1	83,00
1	56,00
1	66,00
1	79,25
1	55,75
1	78,25
1	38,25
1	76,00
1	78,00
1	65,50
1	59,25
1	62,00
1	57,00
1	74,50
1	99,50
1	56,00
1	73,00
1	73,75
1	75,75
1	84,25
1	39,25
1	63,00
1	39,25
1	54,75
1	61,75
1	49,75
1	74,50
1	83,25
1	67,00
1	69,75
1	78,50
0	84,25
0	54,75
0	76,75
0	61,00
0	75,50
0	88,75
0	76,00
0	83,25
0	40,50
0	21,75
0	63,50
0	90,50
0	89,25
0	85,50
0	95,50
0	80,50
0	66,75
0	92,00
0	73,50
0	53,00
0	63,00
0	81,00
0	68,00
0	70,50
0	72,50
0	80,75
0	73,75
0	74,00
0	62,25
0	63,25
0	86,75
0	43,00
0	92,00
0	80,50
0	88,75
0	76,25
0	88,25
0	78,00
0	81,75
0	88,25
0	68,00
0	58,50
0	71,75
1	73,75
1	91,25
1	49,50
1	80,00
1	91,25
1	84,25
1	94,75
1	78,00
1	85,50
1	80,50
1	77,00
1	77,00
1	66,75
1	95,50
1	38,00
1	95,50
1	73,75
1	96,25
1	68,00
1	63,75
1	49,25
1	76,25
1	59,50
1	81,75
1	62,00
1	71,75
1	90,75
1	88,75
1	61,75
1	78,00
1	96,50
1	85,50
1	92,00
1	95,25
1	92,75
1	95,50
1	64,25
1	47,50
1	22,50
1	68,00
1	58,50
1	66,75
1	88,75
1	88,00
1	70,25
1	80,50
1	66,75
1	59,25
1	59,75
1	66,00
1	38,50
1	73,00

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265302&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265302&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265302&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






ANOVA Model
Totalscore ~ Bachelor/Schakel
means73.647-2.179

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Totalscore  ~  Bachelor/Schakel \tabularnewline
means & 73.647 & -2.179 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265302&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Totalscore  ~  Bachelor/Schakel[/C][/ROW]
[ROW][C]means[/C][C]73.647[/C][C]-2.179[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265302&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265302&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
Totalscore ~ Bachelor/Schakel
means73.647-2.179






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Bachelor/Schakel1202.978202.9780.8850.348
Residuals16938779.386229.464 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Bachelor/Schakel & 1 & 202.978 & 202.978 & 0.885 & 0.348 \tabularnewline
Residuals & 169 & 38779.386 & 229.464 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265302&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]Bachelor/Schakel[/C][C]1[/C][C]202.978[/C][C]202.978[/C][C]0.885[/C][C]0.348[/C][/ROW]
[ROW][C]Residuals[/C][C]169[/C][C]38779.386[/C][C]229.464[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265302&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265302&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)
Bachelor/Schakel1202.978202.9780.8850.348
Residuals16938779.386229.464






Tukey Honest Significant Difference Comparisons
difflwruprp adj
1-0-2.179-6.7532.3950.348

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
1-0 & -2.179 & -6.753 & 2.395 & 0.348 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265302&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]1-0[/C][C]-2.179[/C][C]-6.753[/C][C]2.395[/C][C]0.348[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265302&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265302&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
1-0-2.179-6.7532.3950.348






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group13.510.063
169 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 1 & 3.51 & 0.063 \tabularnewline
  & 169 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=265302&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]3.51[/C][C]0.063[/C][/ROW]
[ROW][C] [/C][C]169[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=265302&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=265302&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)
Group13.510.063
169


Figures (Output of Computation)

Input Parameters & R Code

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')