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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software ModuleIan.Hollidayrwasp_One Factor ANOVA.wasp
Title produced by softwareOne-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)
Date of computationMon, 29 Nov 2010 00:47:45 +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/2010/Nov/29/t1290991577p1h0d70e06xf41i.htm/, Retrieved Mon, 29 Apr 2024 12:35:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=102756, Retrieved Mon, 29 Apr 2024 12:35:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact170

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi Square Measure of Association- Free Statistics Software (Calculator)] [One Way ANOVA wit...] [2009-11-29 13:09:19] [98fd0e87c3eb04e0cc2efde01dbafab6]
-   PD  [Chi Square Measure of Association- Free Statistics Software (Calculator)] [One Way ANOVA for...] [2009-12-01 13:05:10] [3fdd735c61ad38cbc9b3393dc997cdb7]
- R P     [Chi Square Measure of Association- Free Statistics Software (Calculator)] [CARE date with Tu...] [2009-12-01 18:33:48] [98fd0e87c3eb04e0cc2efde01dbafab6]
-   P       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [CARE Data with Tu...] [2010-11-23 12:09:38] [3fdd735c61ad38cbc9b3393dc997cdb7]
-    D        [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [week 8 compendium] [2010-11-26 12:44:29] [88bba52b01540967ecde38774018061d]
-    D            [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [week 8 compendium] [2010-11-29 00:47:45] [add39d12cbc73ea169e24b6abf6153f7] [Current]
-    D              [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [week 8 compendium...] [2010-12-03 12:49:02] [88bba52b01540967ecde38774018061d]
-    D              [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [week 8 compendium...] [2010-12-03 13:11:41] [88bba52b01540967ecde38774018061d]
-    D              [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [week 8 compendium] [2010-12-03 13:24:21] [88bba52b01540967ecde38774018061d]
-    D              [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [week 8 compendium] [2010-12-03 13:30:43] [88bba52b01540967ecde38774018061d]
-    D              [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [week 8 compendium] [2010-12-03 13:35:25] [88bba52b01540967ecde38774018061d]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
36	2	88
56	2	94
48	3	90
32	1	73
44	1	68
39	2	80
34	2	86
41	1	86
50	3	91
39	1	79
62	3	96
52	2	92
37	1	72
50	2	96
41	2	70
55	2	86
41	1	87
56	3	88
39	2	79
52	1	90
46	1	95
44	1	85
41	2	90
50	3	115
50	2	84
44	1	79
52	2	94
54	2	97
44	2	86
52	3	111
37	2	87
52	2	98
50	2	87
36	1	68
50	2	88
52	2	82
55	3	111
31	1	75
36	2	94
49	1	95
42	2	80
37	2	95
41	2	68
30	2	94
52	2	88
30	1	84
44	2	101
66	2	98
48	1	78
43	3	109
57	1	102
46	1	81
54	1	97
48	2	75
48	2	97
62	1	101
58	1	101
58	2	95
62	2	95
46	2	95
34	1	90
66	3	107
52	2	92
55	1	86
55	1	70
57	2	95
56	1	96
55	2	91
56	3	87
54	2	92
55	2	97
46	3	102
52	1	91
32	2	68
44	1	88
46	2	97
59	1	90
46	2	101
46	2	94
54	3	101
66	3	109
56	2	100
59	2	103
57	2	94
52	2	97
48	2	85
44	2	75
41	1	77
50	1	87
48	1	78
48	3	108
59	2	97
34	2	105
46	2	106
54	2	107
55	1	95
54	2	107
59	2	115
44	2	101
54	1	85
52	2	90
66	3	115
44	2	95
57	1	97
39	1	112
60	1	97
45	1	77
41	2	90
50	2	94
39	3	103
43	2	77
48	2	98
37	2	90
58	3	111
46	1	77
43	3	88
44	1	75
34	2	92
30	2	78
50	2	106
39	1	80
37	2	87
55	1	92
41	3	111
39	2	86
36	2	85
43	1	90
50	3	101
55	2	94
43	1	86
60	1	86
48	1	90
30	1	75
43	2	86
39	3	91
52	2	97
39	2	91
39	1	70
56	2	98
59	1	96
46	1	95
57	2	100
50	1	95
54	2	97
50	1	97
60	3	92
59	3	115
41	3	88
48	2	87
59	2	100
60	2	98
56	1	102
51	1	96

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102756&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102756&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102756&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'George Udny Yule' @ 72.249.76.132






ANOVA Model
MC30VRB ~ MVRBIQ0
means47.1920.4314.808

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
MC30VRB  ~  MVRBIQ0 \tabularnewline
means & 47.192 & 0.431 & 4.808 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102756&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]MC30VRB  ~  MVRBIQ0[/C][/ROW]
[ROW][C]means[/C][C]47.192[/C][C]0.431[/C][C]4.808[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102756&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102756&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
MC30VRB ~ MVRBIQ0
means47.1920.4314.808






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MVRBIQ02424.76212.382.9720.054
Residuals15010718.15571.454 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
MVRBIQ0 & 2 & 424.76 & 212.38 & 2.972 & 0.054 \tabularnewline
Residuals & 150 & 10718.155 & 71.454 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102756&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]MVRBIQ0[/C][C]2[/C][C]424.76[/C][C]212.38[/C][C]2.972[/C][C]0.054[/C][/ROW]
[ROW][C]Residuals[/C][C]150[/C][C]10718.155[/C][C]71.454[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102756&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102756&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)
MVRBIQ02424.76212.382.9720.054
Residuals15010718.15571.454






Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-10.431-3.1614.0230.956
3-14.808-0.139.7460.058
3-24.377-0.3019.0550.072

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & 0.431 & -3.161 & 4.023 & 0.956 \tabularnewline
3-1 & 4.808 & -0.13 & 9.746 & 0.058 \tabularnewline
3-2 & 4.377 & -0.301 & 9.055 & 0.072 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102756&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]2-1[/C][C]0.431[/C][C]-3.161[/C][C]4.023[/C][C]0.956[/C][/ROW]
[ROW][C]3-1[/C][C]4.808[/C][C]-0.13[/C][C]9.746[/C][C]0.058[/C][/ROW]
[ROW][C]3-2[/C][C]4.377[/C][C]-0.301[/C][C]9.055[/C][C]0.072[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102756&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102756&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
2-10.431-3.1614.0230.956
3-14.808-0.139.7460.058
3-24.377-0.3019.0550.072






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group20.0120.988
150 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 0.012 & 0.988 \tabularnewline
  & 150 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=102756&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]0.012[/C][C]0.988[/C][/ROW]
[ROW][C] [/C][C]150[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=102756&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102756&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)
Group20.0120.988
150


Figures (Output of Computation)

Input Parameters & R Code

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){
thsd<-TukeyHSD(aov.xdf)
bitmap(file='TukeyHSDPlot.png')
plot(thsd)
dev.off()
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<-levene.test(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')