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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 computationTue, 26 Oct 2010 10:02:07 +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/Oct/26/t1288087382ht4vgfmmstg4256.htm/, Retrieved Sat, 27 Apr 2024 23:29:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=88973, Retrieved Sat, 27 Apr 2024 23:29:04 +0000
QR Codes:

Original text written by user:The true mean difference is -15. This illustrates that P(D|H) <> P(H|D) and the fact that the confidence interval is NOT the interval where we find the true difference with a probability of 0.95
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact329

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)] [Simulation experi...] [2010-10-26 10:02:07] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]
-    D    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 09:36:54] [8a9a6f7c332640af31ddca253a8ded58]
-    D    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 10:25:35] [8a9a6f7c332640af31ddca253a8ded58]
-    D    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 10:23:30] [504b6ff240ec7a3fcbc007044ae7a0bb]
-    D    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 10:28:23] [8a9a6f7c332640af31ddca253a8ded58]
-    D    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 10:29:18] [504b6ff240ec7a3fcbc007044ae7a0bb]
-    D    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 10:46:05] [8a9a6f7c332640af31ddca253a8ded58]
-    D    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 10:46:30] [504b6ff240ec7a3fcbc007044ae7a0bb]
-    D    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 11:01:55] [8a9a6f7c332640af31ddca253a8ded58]
F           [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Taak 7: lange ter...] [2010-10-29 18:28:35] [74deae64b71f9d77c839af86f7c687b5]
-             [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS5 Q7.2] [2010-11-02 12:02:41] [afe9379cca749d06b3d6872e02cc47ed]
- R PD          [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS 5 Q 7] [2010-11-02 17:16:29] [4f85667043e8913570b3eb8f368f82b2]
- R             [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS5 - 7.2 ] [2011-11-08 22:14:55] [2c786c21adba4dd4c8af44dce5258f06]
- R PD          [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS5 taak 7] [2012-10-29 17:16:11] [ebc10d82be597731a57172229e4f44b7]
- R P           [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Q7 - lange termijn] [2012-10-29 21:19:40] [74be16979710d4c4e7c6647856088456]
- R P             [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2012-10-30 18:22:13] [74be16979710d4c4e7c6647856088456]
- R P             [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2012-10-30 18:24:07] [74be16979710d4c4e7c6647856088456]
-    D    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 11:01:01] [504b6ff240ec7a3fcbc007044ae7a0bb]
-    D    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 11:27:27] [8a9a6f7c332640af31ddca253a8ded58]
-    D    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 11:33:34] [8a9a6f7c332640af31ddca253a8ded58]
- R  D    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 13:00:23] [7f2363d2c77d3bf71367965cc53be730]
-   PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 13:01:09] [7f2363d2c77d3bf71367965cc53be730]
-    D      [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 13:08:48] [7f2363d2c77d3bf71367965cc53be730]
-   PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 13:01:09] [7f2363d2c77d3bf71367965cc53be730]
-    D      [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 13:08:48] [7f2363d2c77d3bf71367965cc53be730]
-   PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [workshop 5 - taak 6] [2010-10-29 13:04:24] [956e8df26b41c50d9c6c2ec1b6a122a8]
-   PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Workshop 5 - Q6] [2010-10-29 13:06:53] [6f0e7a2d1a07390e3505a2db8288f975]
-    D      [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Workshop 5 - Q6] [2010-10-29 15:13:18] [6f0e7a2d1a07390e3505a2db8288f975]
-    D      [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Workshop 5 - Q6 L...] [2010-10-29 15:14:47] [6f0e7a2d1a07390e3505a2db8288f975]
-   PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 13:08:48] [7f2363d2c77d3bf71367965cc53be730]
-    D      [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 13:39:55] [7f2363d2c77d3bf71367965cc53be730]
-   PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 13:29:06] [7f2363d2c77d3bf71367965cc53be730]
-   PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 13:39:55] [7f2363d2c77d3bf71367965cc53be730]
-   PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 13:39:55] [7f2363d2c77d3bf71367965cc53be730]
-    D    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Anova KT T] [2010-10-29 13:41:18] [aeb27d5c05332f2e597ad139ee63fbe4]
-    D      [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Q 6: group t : KT ] [2010-11-02 17:04:28] [bd591a1ebb67d263a02e7adae3fa1a4d]
-   PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 13:43:11] [7f2363d2c77d3bf71367965cc53be730]
F   P       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-11-02 17:05:18] [14cd777602c827595994eb2f1d2a187f]
F   PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 13:44:16] [7f2363d2c77d3bf71367965cc53be730]
-   PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 13:45:13] [7f2363d2c77d3bf71367965cc53be730]
F   P       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-11-02 17:08:56] [14cd777602c827595994eb2f1d2a187f]
- R  D    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Anova KT T] [2010-10-29 13:45:57] [aeb27d5c05332f2e597ad139ee63fbe4]
- R  D    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Anova KT S] [2010-10-29 13:47:51] [aeb27d5c05332f2e597ad139ee63fbe4]
-   PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 13:49:45] [7f2363d2c77d3bf71367965cc53be730]
F   P       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-11-02 17:15:39] [14cd777602c827595994eb2f1d2a187f]
-   PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 13:52:13] [7f2363d2c77d3bf71367965cc53be730]
F   P       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-11-02 17:19:06] [14cd777602c827595994eb2f1d2a187f]
-   PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-10-29 13:54:39] [7f2363d2c77d3bf71367965cc53be730]
-   P       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-11-02 17:23:45] [14cd777602c827595994eb2f1d2a187f]

[Truncated]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
'F'	62
'M'	71
'M'	66
'M'	77
'M'	89
'F'	78
'M'	71
'M'	70
'F'	69
'F'	84
'F'	87
'F'	83
'M'	54
'M'	85
'M'	68
'M'	88
'F'	104
'F'	62
'M'	62
'F'	82
'F'	71
'F'	70
'M'	58
'M'	65
'M'	65
'F'	66
'F'	71
'F'	82
'M'	70
'M'	87

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time8 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 8 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88973&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]8 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88973&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88973&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 time8 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






ANOVA Model
Motivation ~ Gender
means76.5-4.875

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Motivation  ~  Gender \tabularnewline
means & 76.5 & -4.875 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88973&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Motivation  ~  Gender[/C][/ROW]
[ROW][C]means[/C][C]76.5[/C][C]-4.875[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88973&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88973&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
Motivation ~ Gender
means76.5-4.875






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Gender1177.45177.451.4360.241
Residuals283459.25123.545 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Gender & 1 & 177.45 & 177.45 & 1.436 & 0.241 \tabularnewline
Residuals & 28 & 3459.25 & 123.545 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88973&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]Gender[/C][C]1[/C][C]177.45[/C][C]177.45[/C][C]1.436[/C][C]0.241[/C][/ROW]
[ROW][C]Residuals[/C][C]28[/C][C]3459.25[/C][C]123.545[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88973&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88973&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)
Gender1177.45177.451.4360.241
Residuals283459.25123.545






Tukey Honest Significant Difference Comparisons
difflwruprp adj
M-F-4.875-13.2073.4570.241

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
M-F & -4.875 & -13.207 & 3.457 & 0.241 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88973&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]M-F[/C][C]-4.875[/C][C]-13.207[/C][C]3.457[/C][C]0.241[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88973&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88973&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
M-F-4.875-13.2073.4570.241






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group10.1890.667
28 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 1 & 0.189 & 0.667 \tabularnewline
  & 28 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88973&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]0.189[/C][C]0.667[/C][/ROW]
[ROW][C] [/C][C]28[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88973&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88973&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)
Group10.1890.667
28


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){
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<-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')