Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Module--
Title produced by softwareOne-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)
Date of computationFri, 08 Nov 2013 11:29:07 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Nov/08/t1383928174rufm924uaz6qk4h.htm/, Retrieved Thu, 02 May 2024 01:29:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=223518, Retrieved Thu, 02 May 2024 01:29:25 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact73
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)] [Computation 1 ] [2013-11-08 16:11:09] [629125f7bc305cffb74ac124508d4b2c]
- R P   [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Computation 1 ] [2013-11-08 16:17:09] [629125f7bc305cffb74ac124508d4b2c]
- RM        [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Computation 1 ] [2013-11-08 16:29:07] [73ebad83ad6fddd25cd35301888bbf4d] [Current]
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Dataseries X:
36	'MC3OVRB'
56	'MC3OVRB'
48	'MC3OVRB'
32	'MC3OVRB'
44	'MC3OVRB'
39	'MC3OVRB'
34	'MC3OVRB'
41	'MC3OVRB'
50	'MC3OVRB'
39	'MC3OVRB'
62	'MC3OVRB'
52	'MC3OVRB'
37	'MC3OVRB'
50	'MC3OVRB'
41	'MC3OVRB'
55	'MC3OVRB'
41	'MC3OVRB'
56	'MC3OVRB'
39	'MC3OVRB'
52	'MC3OVRB'
46	'MC3OVRB'
44	'MC3OVRB'
41	'MC3OVRB'
50	'MC3OVRB'
50	'MC3OVRB'
44	'MC3OVRB'
52	'MC3OVRB'
54	'MC3OVRB'
44	'MC3OVRB'
52	'MC3OVRB'
37	'MC3OVRB'
52	'MC3OVRB'
50	'MC3OVRB'
36	'MC3OVRB'
50	'MC3OVRB'
52	'MC3OVRB'
55	'MC3OVRB'
31	'MC3OVRB'
36	'MC3OVRB'
49	'MC3OVRB'
42	'MC3OVRB'
37	'MC3OVRB'
41	'MC3OVRB'
30	'MC3OVRB'
52	'MC3OVRB'
30	'MC3OVRB'
44	'MC3OVRB'
66	'MC3OVRB'
48	'MC3OVRB'
43	'MC3OVRB'
57	'MC3OVRB'
46	'MC3OVRB'
54	'MC3OVRB'
48	'MC3OVRB'
48	'MC3OVRB'
62	'MC3OVRB'
58	'MC3OVRB'
58	'MC3OVRB'
62	'MC3OVRB'
46	'MC3OVRB'
34	'MC3OVRB'
66	'MC3OVRB'
52	'MC3OVRB'
55	'MC3OVRB'
55	'MC3OVRB'
57	'MC3OVRB'
56	'MC3OVRB'
55	'MC3OVRB'
56	'MC3OVRB'
54	'MC3OVRB'
55	'MC3OVRB'
46	'MC3OVRB'
52	'MC3OVRB'
32	'MC3OVRB'
44	'MC3OVRB'
46	'MC3OVRB'
59	'MC3OVRB'
46	'MC3OVRB'
46	'MC3OVRB'
54	'MC3OVRB'
66	'MC3OVRB'
56	'MC3OVRB'
59	'MC3OVRB'
57	'MC3OVRB'
52	'MC3OVRB'
48	'MC3OVRB'
44	'MC3OVRB'
41	'MC3OVRB'
50	'MC3OVRB'
48	'MC3OVRB'
48	'MC3OVRB'
59	'MC3OVRB'
34	'MC3OVRB'
46	'MC3OVRB'
54	'MC3OVRB'
55	'MC3OVRB'
54	'MC3OVRB'
59	'MC3OVRB'
44	'MC3OVRB'
54	'MC3OVRB'
52	'MC3OVRB'
66	'MC3OVRB'
44	'MC3OVRB'
57	'MC3OVRB'
39	'MC3OVRB'
60	'MC3OVRB'
45	'MC3OVRB'
41	'MC3OVRB'
50	'MC3OVRB'
39	'MC3OVRB'
43	'MC3OVRB'
48	'MC3OVRB'
37	'MC3OVRB'
58	'MC3OVRB'
46	'MC3OVRB'
43	'MC3OVRB'
44	'MC3OVRB'
34	'MC3OVRB'
30	'MC3OVRB'
50	'MC3OVRB'
39	'MC3OVRB'
37	'MC3OVRB'
55	'MC3OVRB'
41	'MC3OVRB'
39	'MC3OVRB'
36	'MC3OVRB'
43	'MC3OVRB'
50	'MC3OVRB'
55	'MC3OVRB'
43	'MC3OVRB'
60	'MC3OVRB'
48	'MC3OVRB'
30	'MC3OVRB'
43	'MC3OVRB'
39	'MC3OVRB'
52	'MC3OVRB'
39	'MC3OVRB'
39	'MC3OVRB'
56	'MC3OVRB'
59	'MC3OVRB'
46	'MC3OVRB'
57	'MC3OVRB'
50	'MC3OVRB'
54	'MC3OVRB'
50	'MC3OVRB'
60	'MC3OVRB'
59	'MC3OVRB'
41	'MC3OVRB'
48	'MC3OVRB'
59	'MC3OVRB'
60	'MC3OVRB'
56	'MC3OVRB'
51	'MC3OVRB'
88	'WISCRY7V'
94	'WISCRY7V'
90	'WISCRY7V'
73	'WISCRY7V'
68	'WISCRY7V'
80	'WISCRY7V'
86	'WISCRY7V'
86	'WISCRY7V'
91	'WISCRY7V'
79	'WISCRY7V'
96	'WISCRY7V'
92	'WISCRY7V'
72	'WISCRY7V'
96	'WISCRY7V'
70	'WISCRY7V'
86	'WISCRY7V'
87	'WISCRY7V'
88	'WISCRY7V'
79	'WISCRY7V'
90	'WISCRY7V'
95	'WISCRY7V'
85	'WISCRY7V'
90	'WISCRY7V'
115	'WISCRY7V'
84	'WISCRY7V'
79	'WISCRY7V'
94	'WISCRY7V'
97	'WISCRY7V'
86	'WISCRY7V'
111	'WISCRY7V'
87	'WISCRY7V'
98	'WISCRY7V'
87	'WISCRY7V'
68	'WISCRY7V'
88	'WISCRY7V'
82	'WISCRY7V'
111	'WISCRY7V'
75	'WISCRY7V'
94	'WISCRY7V'
95	'WISCRY7V'
80	'WISCRY7V'
95	'WISCRY7V'
68	'WISCRY7V'
94	'WISCRY7V'
88	'WISCRY7V'
84	'WISCRY7V'
101	'WISCRY7V'
98	'WISCRY7V'
78	'WISCRY7V'
109	'WISCRY7V'
102	'WISCRY7V'
81	'WISCRY7V'
97	'WISCRY7V'
75	'WISCRY7V'
97	'WISCRY7V'
101	'WISCRY7V'
101	'WISCRY7V'
95	'WISCRY7V'
95	'WISCRY7V'
95	'WISCRY7V'
90	'WISCRY7V'
107	'WISCRY7V'
92	'WISCRY7V'
86	'WISCRY7V'
70	'WISCRY7V'
95	'WISCRY7V'
96	'WISCRY7V'
91	'WISCRY7V'
87	'WISCRY7V'
92	'WISCRY7V'
97	'WISCRY7V'
102	'WISCRY7V'
91	'WISCRY7V'
68	'WISCRY7V'
88	'WISCRY7V'
97	'WISCRY7V'
90	'WISCRY7V'
101	'WISCRY7V'
94	'WISCRY7V'
101	'WISCRY7V'
109	'WISCRY7V'
100	'WISCRY7V'
103	'WISCRY7V'
94	'WISCRY7V'
97	'WISCRY7V'
85	'WISCRY7V'
75	'WISCRY7V'
77	'WISCRY7V'
87	'WISCRY7V'
78	'WISCRY7V'
108	'WISCRY7V'
97	'WISCRY7V'
105	'WISCRY7V'
106	'WISCRY7V'
107	'WISCRY7V'
95	'WISCRY7V'
107	'WISCRY7V'
115	'WISCRY7V'
101	'WISCRY7V'
85	'WISCRY7V'
90	'WISCRY7V'
115	'WISCRY7V'
95	'WISCRY7V'
97	'WISCRY7V'
112	'WISCRY7V'
97	'WISCRY7V'
77	'WISCRY7V'
90	'WISCRY7V'
94	'WISCRY7V'
103	'WISCRY7V'
77	'WISCRY7V'
98	'WISCRY7V'
90	'WISCRY7V'
111	'WISCRY7V'
77	'WISCRY7V'
88	'WISCRY7V'
75	'WISCRY7V'
92	'WISCRY7V'
78	'WISCRY7V'
106	'WISCRY7V'
80	'WISCRY7V'
87	'WISCRY7V'
92	'WISCRY7V'
111	'WISCRY7V'
86	'WISCRY7V'
85	'WISCRY7V'
90	'WISCRY7V'
101	'WISCRY7V'
94	'WISCRY7V'
86	'WISCRY7V'
86	'WISCRY7V'
90	'WISCRY7V'
75	'WISCRY7V'
86	'WISCRY7V'
91	'WISCRY7V'
97	'WISCRY7V'
91	'WISCRY7V'
70	'WISCRY7V'
98	'WISCRY7V'
96	'WISCRY7V'
95	'WISCRY7V'
100	'WISCRY7V'
95	'WISCRY7V'
97	'WISCRY7V'
97	'WISCRY7V'
92	'WISCRY7V'
115	'WISCRY7V'
88	'WISCRY7V'
87	'WISCRY7V'
100	'WISCRY7V'
98	'WISCRY7V'
102	'WISCRY7V'
96	'WISCRY7V'




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=223518&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=223518&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=223518&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
Response ~ Group
means48.16391.686

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Response  ~  Group \tabularnewline
means & 48.163 & 91.686 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=223518&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Response  ~  Group[/C][/ROW]
[ROW][C]means[/C][C]48.163[/C][C]91.686[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=223518&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=223518&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
Response ~ Group
means48.16391.686







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Group21641091.144820545.5728679.440
Residuals30428739.85694.539

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Group & 2 & 1641091.144 & 820545.572 & 8679.44 & 0 \tabularnewline
Residuals & 304 & 28739.856 & 94.539 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=223518&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]2[/C][C]1641091.144[/C][C]820545.572[/C][C]8679.44[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]304[/C][C]28739.856[/C][C]94.539[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=223518&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=223518&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)
Group21641091.144820545.5728679.440
Residuals30428739.85694.539







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=223518&T=3

[TABLE]
[ROW][C]Must Include Intercept to use Tukey Test [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=223518&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=223518&T=3

As an alternative you can also use a 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)
Group14.0540.045
304

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 1 & 4.054 & 0.045 \tabularnewline
  & 304 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=223518&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]4.054[/C][C]0.045[/C][/ROW]
[ROW][C] [/C][C]304[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=223518&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=223518&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)
Group14.0540.045
304



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = FALSE ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = FALSE ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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')