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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 12:12:57 +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/t14182136057n0yr0y64ozbkqi.htm/, Retrieved Fri, 17 May 2024 10:17:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=264996, Retrieved Fri, 17 May 2024 10:17:50 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact52

Tree of Dependent Computations

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-       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-12-10 12:12:57] [f065a278b55a6e0b46d8d4a5c5e7b8ed] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
21 4
26 9
22 4
22 5
18 4
23 4
12 9
20 8
22 11
21 4
19 4
22 6
15 4
20 8
19 4
18 4
15 11
20 4
21 4
21 6
15 6
16 4
23 8
21 5
18 4
25 9
9 4
30 7
20 10
23 4
16 4
16 7
19 12
25 4
25 7
18 5
23 8
21 5
10 4
14 9
22 7
26 4
23 4
23 4
24 4
24 4
18 7
23 4
15 7
19 4
16 4
25 4
23 4
17 8
19 4
21 4
18 4
27 4
21 7
13 12
8 4
29 4
28 4
23 5
21 15
19 5
19 10
20 9
18 8
19 4
17 5
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25 9
19 4
22 10
23 4
26 7
14 4
28 6
16 7
24 5
20 4
12 4
24 4
22 4
12 4
22 4
20 6
10 10
23 7
17 4
22 4
24 7
18 4
21 8
20 11
20 6
22 14
19 5
20 4
26 8
23 9
24 4
21 4
21 5
19 4
8 5
17 4
20 4
11 7
8 10
15 4
18 5
18 4
19 4
19 4
23 6
22 4
21 8
25 5
30 4
17 17
27 4
23 4
23 8
18 4
18 7
23 4
19 4
15 5
20 7
16 4
24 4
25 7
25 11
19 7
19 4
16 4
19 4
19 4
23 4
21 4
22 6
19 8
20 23
20 4
3 8
23 6
14 4
23 4
20 7
15 4
13 4
16 4
7 4
24 10
17 6
24 5
24 5
19 4
25 4
20 5
28 5
23 5
27 5
18 4
28 6
21 4
19 4
23 4
27 9
22 18
28 6
25 5
21 4
22 11
28 4
20 10
29 6
25 8
25 8
20 6
20 8
16 4
20 4
20 9
23 9
18 5
25 4
18 4
19 15
25 10
25 9
25 7
24 9
19 6
26 4
10 7
17 4
13 7
17 4
30 15
25 4
4 9
16 4
21 4
23 28
22 4
17 4
20 4
20 5
22 4
16 4
23 12
16 5
0 4
18 6
25 6
23 5
12 4
18 4
24 4
11 10
18 7
14 4
23 4
24 7
29 4
18 4
15 12
29 5
16 8
19 6
22 17
16 4
23 5
23 4
19 5
4 5
20 6
24 4
20 4
4 4
24 6
22 8
16 10
3 4
15 5
24 4
17 4
20 4
27 16
23 4
26 7
23 4
17 4
20 14
22 5
19 5
24 5
19 5
23 7
15 19
27 16
26 4
22 4
22 7
18 9
15 5
22 14
27 4
10 16
20 10
17 5
23 6
19 4
13 4
27 4
23 5
16 4
25 4
2 5
26 4
20 4
23 5
22 8
24 15
22 7
17 5
23 8
23 8
28 5
29 4
21 4
24 11
20 5
7 22
19 4
28 4
18 4
26 5
21 4
19 16
20 5
23 6
24 5
16 4
19 4
24 4
21 7
16 4
16 8
21 7
28 6
16 5
23 8
26 8
29 4
18 7
19 4
19 13
16 4
16 4
16 4
18 4
22 7
14 5
20 4
15 5
22 12
24 8
16 4
19 4
24 8
19 5
15 4
11 4
15 7
17 5
20 13
21 4
16 4
17 4
20 6
15 4
21 4
16 4
18 4
25 4
21 5
21 6
16 4
20 4
24 4
28 6
27 9
22 5
20 6
27 13
17 4
22 7
23 5
15 4
22 4
13 4
21 6
18 6
22 8
19 6
15 5
20 9
17 6
21 4
23 9
20 4
18 4
22 4
24 5
24 4
18 4
27 4
19 5
20 5
15 8
20 4
27 4
20 9
20 4
13 4
21 4
23 4
26 4
24 4
25 4
18 4
21 4
23 4
16 4
19 4
20 4
25 5
22 8
20 7
25 4
27 4
20 4
18 5
26 5
26 6
24 12
27 5
16 9
15 12
25 4
27 16
18 4
16 5
18 4
23 4
21 6
21 4
14 4
24 5
18 6
16 5
25 6
22 4
13 4
20 7
17 9
23 5
22 5
23 4
22 4
23 12
10 4
18 6
25 9
26 4
14 5
23 4
22 4
23 4
19 4
14 4
26 11
24 4
21 6
17 4
16 5
15 4
11 4
19 4
21 7
20 9
16 5
19 14
16 4
11 4
22 4
20 5
26 4
26 4
20 9
24 4
20 4
15 10
23 4
25 4
27 6
23 4
20 9
25 5
24 4
22 5
27 14
20 9
17 4
22 4
26 17
19 4
19 5
24 9
22 7
16 4
22 5
23 7
19 10
20 5
16 4
19 8
20 4
15 4
22 6
26 5

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264996&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]1 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=264996&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264996&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 time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






ANOVA Model
NUMERACYTOT ~ AMS.A
means17.6152219.25222223.52221.66722157202319.76220.13221.97420.45920.72420.692

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
NUMERACYTOT  ~  AMS.A \tabularnewline
means & 17.615 & 22 & 19.25 & 22 & 22 & 23.5 & 22 & 21.667 & 22 & 15 & 7 & 20 & 23 & 19.762 & 20.132 & 21.974 & 20.459 & 20.724 & 20.692 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264996&T=1

[TABLE]
[ROW]ANOVA Model[/C][/ROW]
[ROW]NUMERACYTOT  ~  AMS.A[/C][/ROW]
[ROW][C]means[/C][C]17.615[/C][C]22[/C][C]19.25[/C][C]22[/C][C]22[/C][C]23.5[/C][C]22[/C][C]21.667[/C][C]22[/C][C]15[/C][C]7[/C][C]20[/C][C]23[/C][C]19.762[/C][C]20.132[/C][C]21.974[/C][C]20.459[/C][C]20.724[/C][C]20.692[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264996&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264996&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
NUMERACYTOT ~ AMS.A
means17.6152219.25222223.52221.66722157202319.76220.13221.97420.45920.72420.692






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
AMS.A19202464.92210656.049485.7070
Residuals47610443.07821.939 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
AMS.A & 19 & 202464.922 & 10656.049 & 485.707 & 0 \tabularnewline
Residuals & 476 & 10443.078 & 21.939 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264996&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]AMS.A[/C][C]19[/C][C]202464.922[/C][C]10656.049[/C][C]485.707[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]476[/C][C]10443.078[/C][C]21.939[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264996&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264996&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)
AMS.A19202464.92210656.049485.7070
Residuals47610443.07821.939






Must Include Intercept to use Tukey Test 

\begin{tabular}{lllllllll}
\hline
Must Include Intercept to use Tukey Test  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264996&T=3

[TABLE]
[ROW][C]Must Include Intercept to use Tukey Test [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264996&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264996&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:

Must Include Intercept to use Tukey Test






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group180.7420.767
476 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 18 & 0.742 & 0.767 \tabularnewline
  & 476 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=264996&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]18[/C][C]0.742[/C][C]0.767[/C][/ROW]
[ROW][C] [/C][C]476[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=264996&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=264996&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)
Group180.7420.767
476


Figures (Output of Computation)

Input Parameters & R Code

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