Free Statistics

of Irreproducible Research!

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 computationTue, 16 Dec 2014 14:15:40 +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/16/t1418739675uuzyfdfmvp871c9.htm/, Retrieved Fri, 01 Nov 2024 00:37:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=269608, Retrieved Fri, 01 Nov 2024 00:37:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact136
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)] [jihg] [2014-12-16 14:15:40] [cf34f1111566f5ca061ad80c95189d56] [Current]
Feedback Forum

Post a new message
Dataseries X:
'S' 21
'S' 26
'S' 22
'S' 22
'S' 18
'S' 23
'S' 12
'S' 20
'S' 22
'S' 21
'S' 19
'S' 22
'S' 15
'S' 20
'S' 19
'S' 18
'B' 15
'S' 20
'S' 21
'B' 21
'S' 15
'S' 16
'S' 23
'S' 21
'S' 18
'S' 25
'S' 9
'B' 30
'B' 20
'S' 23
'S' 16
'S' 16
'S' 19
'S' 25
'S' 25
'S' 18
'S' 23
'S' 21
'S' 10
'B' 14
'S' 22
'S' 26
'S' 23
'S' 23
'S' 24
'S' 24
'B' 18
'S' 23
'S' 15
'B' 19
'S' 16
'B' 25
'B' 23
'B' 17
'S' 19
'B' 21
'S' 18
'S' 27
'B' 21
'S' 13
'B' 8
'B' 29
'S' 28
'S' 23
'S' 21
'S' 19
'S' 19
'B' 20
'S' 18
'S' 19
'S' 17
'B' 19
'S' 25
'S' 19
'B' 22
'B' 23
'S' 26
'S' 14
'S' 28
'S' 16
'B' 24
'S' 20
'B' 12
'S' 24
'B' 22
'B' 12
'B' 22
'B' 20
'B' 10
'B' 23
'B' 17
'B' 22
'B' 24
'B' 18
'B' 21
'B' 20
'B' 20
'B' 22
'B' 19
'B' 20
'B' 26
'B' 23
'B' 24
'B' 21
'B' 21
'B' 19
'B' 8
'B' 17
'B' 20
'B' 11
'B' 8
'B' 15
'B' 18
'B' 18
'B' 19
'B' 19
'S' 23
'S' 22
'S' 21
'S' 25
'B' 30
'B' 17
'S' 27
'S' 23
'S' 23
'S' 18
'S' 18
'S' 23
'S' 19
'S' 15
'S' 20
'S' 16
'B' 24
'S' 25
'S' 25
'S' 19
'S' 19
'S' 16
'S' 19
'S' 19
'S' 23
'S' 21
'S' 22
'S' 19
'B' 20
'S' 20
'S' 3
'S' 23
'S' 14
'S' 23
'S' 20
'S' 15
'S' 13
'S' 16
'S' 7
'S' 24
'S' 17
'S' 24
'S' 24
'S' 19
'B' 25
'B' 20
'S' 28
'S' 23
'B' 27
'B' 18
'B' 28
'B' 21
'S' 19
'S' 23
'B' 27
'B' 22
'B' 28
'B' 25
'B' 21
'B' 22
'B' 28
'B' 20
'B' 29
'S' 25
'S' 25
'B' 20
'S' 20
'S' 16
'B' 20
'S' 20
'B' 23
'B' 18
'S' 25
'B' 18
'B' 19
'B' 25
'B' 25
'B' 25
'B' 24
'B' 19
'B' 26
'B' 10
'B' 17
'B' 13
'B' 17
'B' 30
'S' 25
'B' 4
'B' 16
'B' 21
'S' 23
'B' 22
'S' 17
'B' 20
'S' 20
'B' 22
'S' 16
'B' 23
'B' 16
'B' 0
'B' 18
'B' 25
'S' 23
'S' 12
'B' 18
'S' 24
'S' 11
'B' 18
'S' 14
'S' 23
'B' 24
'B' 29
'S' 18
'B' 15
'S' 29
'S' 16
'S' 19
'B' 22
'S' 16
'B' 23
'S' 23
'S' 19
'S' 4
'S' 20
'B' 24
'S' 20
'S' 4
'S' 24
'B' 22
'S' 16
'S' 3
'B' 15
'S' 24
'B' 17
'B' 20
'B' 27
'S' 23
'B' 26
'B' 23
'S' 17
'S' 20
'S' 22
'S' 19
'S' 24
'S' 19
'B' 23
'B' 15
'S' 27
'B' 26
'B' 22
'S' 22
'B' 18
'B' 15
'B' 22
'B' 27
'B' 10
'B' 20
'B' 17
'B' 23
'B' 19
'B' 13
'B' 27
'B' 23
'B' 16
'B' 25
'B' 2
'B' 26
'B' 20
'S' 23
'B' 22
'B' 24
'S' 22
'S' 17
'S' 23
'S' 23
'S' 28
'S' 29
'S' 21
'S' 24
'S' 20
'S' 7
'S' 19
'S' 28
'B' 18
'S' 26
'B' 21
'S' 19
'S' 20
'S' 23
'S' 24
'S' 16
'S' 19
'S' 24
'S' 21
'S' 16
'S' 16
'S' 21
'S' 28
'S' 16
'S' 23
'S' 26
'S' 29
'S' 18
'S' 19
'S' 19
'S' 16
'S' 16
'S' 16
'S' 18
'S' 22
'S' 14
'S' 20
'S' 15
'S' 22
'B' 24
'S' 16
'B' 19
'B' 24
'B' 19
'S' 15
'S' 11
'S' 15
'B' 17
'S' 20
'S' 21
'S' 16
'S' 17
'B' 20
'S' 15
'B' 21
'S' 16
'S' 18
'S' 25
'B' 21
'B' 21
'B' 16
'S' 20
'S' 24
'S' 28
'B' 27
'S' 22
'S' 20
'S' 27
'S' 17
'S' 22
'S' 23
'B' 15
'S' 22
'S' 13
'B' 21
'B' 18
'B' 22
'S' 19
'S' 15
'B' 20
'B' 17
'B' 21
'B' 23
'S' 20
'B' 18
'B' 22
'S' 24
'B' 24
'S' 18
'B' 27
'S' 19
'B' 20
'S' 15
'S' 20
'B' 27
'B' 20
'B' 20
'S' 13
'B' 21
'S' 23
'B' 26
'S' 24
'B' 25
'B' 18
'B' 21
'S' 23
'B' 16
'S' 19
'S' 20
'B' 25
'S' 22
'B' 20
'S' 25
'B' 27
'B' 20
'B' 18
'B' 26
'S' 26
'S' 24
'S' 27
'S' 16
'S' 15
'S' 25
'S' 27
'B' 18
'B' 16
'B' 18
'S' 23
'S' 21
'B' 21
'S' 14
'S' 24
'B' 18
'S' 16
'B' 25
'S' 22
'S' 13
'B' 20
'S' 17
'B' 23
'B' 22
'S' 23
'S' 22
'S' 23
'B' 10
'B' 18
'B' 25
'S' 26
'S' 14
'B' 23
'B' 22
'B' 23
'B' 19
'B' 14
'B' 26
'S' 24
'S' 21
'B' 17
'S' 16
'B' 15
'S' 11
'S' 19
'B' 21
'B' 20
'S' 16
'S' 19
'S' 16
'S' 11
'B' 22
'B' 20
'B' 26
'B' 26
'B' 20
'B' 24
'B' 20
'B' 15
'S' 23
'B' 25
'S' 27
'S' 23
'B' 20
'S' 25
'S' 24
'S' 22
'B' 27
'B' 20
'B' 17
'B' 22
'S' 26
'S' 19
'S' 19
'B' 24
'B' 22
'B' 16
'B' 22
'B' 23
'S' 19
'S' 20
'S' 16
'B' 19
'B' 20
'B' 15
'B' 22
'S' 22
'B' 12
'B' 15
'S' 21
'S' 26
'B' 27
'S' 23
'S' 21
'S' 22
'S' 26
'B' 24
'S' 27
'B' 18
'B' 18
'B' 25
'B' 12
'B' 19
'B' 24
'S' 17
'S' 22
'S' 19
'S' 14
'B' 22
'S' 20
'B' 18
'B' 28




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=269608&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=269608&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269608&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'Gwilym Jenkins' @ jenkins.wessa.net







ANOVA Model
NUMERACYTOT ~ group
means20.403-0.343

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
NUMERACYTOT  ~  group \tabularnewline
means & 20.403 & -0.343 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269608&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]NUMERACYTOT  ~  group[/C][/ROW]
[ROW][C]means[/C][C]20.403[/C][C]-0.343[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269608&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269608&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
NUMERACYTOT ~ group
means20.403-0.343







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
group115.13615.1360.680.41
Residuals51811522.74122.245

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
group & 1 & 15.136 & 15.136 & 0.68 & 0.41 \tabularnewline
Residuals & 518 & 11522.741 & 22.245 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269608&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]group[/C][C]1[/C][C]15.136[/C][C]15.136[/C][C]0.68[/C][C]0.41[/C][/ROW]
[ROW][C]Residuals[/C][C]518[/C][C]11522.741[/C][C]22.245[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269608&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269608&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)
group115.13615.1360.680.41
Residuals51811522.74122.245







Tukey Honest Significant Difference Comparisons
difflwruprp adj
S-B-0.343-1.1590.4730.41

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
S-B & -0.343 & -1.159 & 0.473 & 0.41 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269608&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]S-B[/C][C]-0.343[/C][C]-1.159[/C][C]0.473[/C][C]0.41[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269608&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269608&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
S-B-0.343-1.1590.4730.41







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group10.0170.895
518

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 1 & 0.017 & 0.895 \tabularnewline
  & 518 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269608&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]0.017[/C][C]0.895[/C][/ROW]
[ROW][C] [/C][C]518[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269608&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269608&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)
Group10.0170.895
518



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')