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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_One Factor ANOVA.wasp

Title produced by software

One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)

Date of computation

Wed, 03 Dec 2014 20:08:39 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/03/t14176373373i4g59c4b1jeyyc.htm/, Retrieved Fri, 01 Nov 2024 00:11:02 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=263034, Retrieved Fri, 01 Nov 2024 00:11:02 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

133

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)] [] [2014-12-03 20:08:39] [18673d63f90870b9c004059cd6229007] [Current]

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Dataseries X:

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Histogram

Boxplots

2011 "'S'" "'7.50'"
2011 "'S'" "'2.50'"
2011 "'S'" "'6.00'"
2011 "'S'" "'6.50'"
2011 "'S'" "'1.00'"
2011 "'S'" "'1.00'"
2011 "'S'" "'5.50'"
2011 "'S'" "'8.50'"
2011 "'S'" "'6.50'"
2011 "'S'" "'4.50'"
2011 "'S'" "'2.00'"
2011 "'S'" "'5.00'"
2011 "'S'" "'0.50'"
2011 "'S'" "'5.00'"
2011 "'S'" "'5.00'"
2011 "'S'" "'2.50'"
2011 "'B'" "'5.00'"
2011 "'S'" "'5.50'"
2011 "'S'" "'3.50'"
2011 "'B'" "'3.00'"
2011 "'S'" "'4.00'"
2011 "'S'" "'0.50'"
2011 "'S'" "'6.50'"
2011 "'S'" "'4.50'"
2011 "'S'" "'7.50'"
2011 "'S'" "'5.50'"
2011 "'S'" "'4.00'"
2011 "'B'" "'7.50'"
2011 "'B'" "'7.00'"
2011 "'S'" "'4.00'"
2011 "'S'" "'5.50'"
2011 "'S'" "'2.50'"
2011 "'S'" "'5.50'"
2011 "'S'" "'0.50'"
2011 "'S'" "'3.50'"
2011 "'S'" "'2.50'"
2011 "'S'" "'4.50'"
2011 "'S'" "'4.50'"
2011 "'S'" "'4.50'"
2011 "'B'" "'6.00'"
2011 "'S'" "'2.50'"
2011 "'S'" "'5.00'"
2011 "'S'" "'0.00'"
2011 "'S'" "'5.00'"
2011 "'S'" "'6.50'"
2011 "'S'" "'5.00'"
2011 "'B'" "'6.00'"
2011 "'S'" "'4.50'"
2011 "'S'" "'5.50'"
2011 "'B'" "'1.00'"
2011 "'S'" "'7.50'"
2011 "'B'" "'6.00'"
2011 "'B'" "'5.00'"
2011 "'B'" "'1.00'"
2011 "'S'" "'5.00'"
2011 "'B'" "'6.50'"
2011 "'S'" "'7.00'"
2011 "'S'" "'4.50'"
2011 "'B'" "'0.00'"
2011 "'S'" "'8.50'"
2011 "'B'" "'3.50'"
2011 "'B'" "'7.50'"
2011 "'S'" "'3.50'"
2011 "'S'" "'6.00'"
2011 "'S'" "'1.50'"
2011 "'S'" "'9.00'"
2011 "'S'" "'3.50'"
2011 "'B'" "'3.50'"
2011 "'S'" "'4.00'"
2011 "'S'" "'6.50'"
2011 "'S'" "'7.50'"
2011 "'B'" "'6.00'"
2011 "'S'" "'5.00'"
2011 "'S'" "'5.50'"
2011 "'B'" "'3.50'"
2011 "'B'" "'7.50'"
2011 "'S'" "'1.00'"
2011 "'S'" "'6.50'"
2011 "'S'" "'6.50'"
2011 "'B'" "'6.50'"
2011 "'S'" "'7.00'"
2011 "'B'" "'3.50'"
2011 "'S'" "'1.50'"
2011 "'B'" "'4.00'"
2011 "'B'" "'7.50'"
2011 "'B'" "'4.50'"
2011 "'B'" "'0.00'"
2011 "'B'" "'3.50'"
2011 "'B'" "'5.50'"
2011 "'B'" "'5.00'"
2011 "'B'" "'4.50'"
2011 "'B'" "'2.50'"
2011 "'B'" "'7.50'"
2011 "'B'" "'7.00'"
2011 "'B'" "'0.00'"
2011 "'B'" "'4.50'"
2011 "'B'" "'3.00'"
2011 "'B'" "'1.50'"
2011 "'B'" "'3.50'"
2011 "'B'" "'2.50'"
2011 "'B'" "'5.50'"
2011 "'B'" "'8.00'"
2011 "'B'" "'1.00'"
2011 "'B'" "'5.00'"
2011 "'B'" "'4.50'"
2011 "'B'" "'3.00'"
2011 "'B'" "'3.00'"
2011 "'B'" "'8.00'"
2011 "'B'" "'2.50'"
2011 "'B'" "'7.00'"
2011 "'B'" "'0.00'"
2011 "'B'" "'1.00'"
2011 "'B'" "'3.50'"
2011 "'B'" "'5.50'"
2011 "'B'" "'5.50'"
2012 "'S'" "'0.50'"
2012 "'S'" "'7.50'"
2012 "'S'" "'9.00'"
2012 "'S'" "'9.50'"
2012 "'B'" "'8.50'"
2012 "'B'" "'7.00'"
2012 "'S'" "'8.00'"
2012 "'S'" "'10.00'"
2012 "'S'" "'7.00'"
2012 "'S'" "'8.50'"
2012 "'S'" "'9.00'"
2012 "'S'" "'9.50'"
2012 "'S'" "'4.00'"
2012 "'S'" "'6.00'"
2012 "'S'" "'8.00'"
2012 "'S'" "'5.50'"
2012 "'B'" "'9.50'"
2012 "'S'" "'7.50'"
2012 "'S'" "'7.00'"
2012 "'S'" "'7.50'"
2012 "'S'" "'8.00'"
2012 "'S'" "'7.00'"
2012 "'S'" "'7.00'"
2012 "'S'" "'6.00'"
2012 "'S'" "'10.00'"
2012 "'S'" "'2.50'"
2012 "'S'" "'9.00'"
2012 "'S'" "'8.00'"
2012 "'B'" "'6.00'"
2012 "'S'" "'8.50'"
2012 "'S'" "'6.00'"
2012 "'S'" "'9.00'"
2012 "'S'" "'8.00'"
2012 "'S'" "'8.00'"
2012 "'S'" "'9.00'"
2012 "'S'" "'5.50'"
2012 "'S'" "'5.00'"
2012 "'S'" "'7.00'"
2012 "'S'" "'5.50'"
2012 "'S'" "'9.00'"
2012 "'S'" "'2.00'"
2012 "'S'" "'8.50'"
2012 "'S'" "'9.00'"
2012 "'S'" "'8.50'"
2012 "'B'" "'9.00'"
2012 "'B'" "'7.50'"
2012 "'S'" "'10.00'"
2012 "'S'" "'9.00'"
2012 "'B'" "'7.50'"
2012 "'B'" "'6.00'"
2012 "'B'" "'10.50'"
2012 "'B'" "'8.50'"
2012 "'S'" "'8.00'"
2012 "'S'" "'10.00'"
2012 "'B'" "'10.50'"
2012 "'B'" "'6.50'"
2012 "'B'" "'9.50'"
2012 "'B'" "'8.50'"
2012 "'B'" "'7.50'"
2012 "'B'" "'5.00'"
2012 "'B'" "'8.00'"
2012 "'B'" "'10.00'"
2012 "'B'" "'7.00'"
2012 "'S'" "'7.50'"
2012 "'S'" "'7.50'"
2012 "'B'" "'9.50'"
2012 "'S'" "'6.00'"
2012 "'S'" "'10.00'"
2012 "'B'" "'7.00'"
2012 "'S'" "'3.00'"
2012 "'B'" "'6.00'"
2012 "'B'" "'7.00'"
2012 "'S'" "'10.00'"
2012 "'B'" "'7.00'"
2012 "'B'" "'3.50'"
2012 "'B'" "'8.00'"
2012 "'B'" "'10.00'"
2012 "'B'" "'5.50'"
2012 "'B'" "'6.00'"
2012 "'B'" "'6.50'"
2012 "'B'" "'6.50'"
2012 "'B'" "'8.50'"
2012 "'B'" "'4.00'"
2012 "'B'" "'9.50'"
2012 "'B'" "'8.00'"
2012 "'B'" "'8.50'"
2012 "'S'" "'5.50'"
2012 "'B'" "'7.00'"
2012 "'B'" "'9.00'"
2012 "'B'" "'8.00'"
2012 "'S'" "'10.00'"
2012 "'B'" "'8.00'"
2012 "'S'" "'6.00'"
2012 "'B'" "'8.00'"
2012 "'S'" "'5.00'"
2012 "'B'" "'9.00'"
2012 "'S'" "'4.50'"
2012 "'B'" "'8.50'"
2012 "'B'" "'7.00'"
2012 "'B'" "'9.50'"
2012 "'B'" "'8.50'"
2012 "'B'" "'7.50'"
2012 "'S'" "'7.50'"
2012 "'S'" "'5.00'"
2012 "'B'" "'7.00'"
2012 "'S'" "'8.00'"
2012 "'S'" "'5.50'"
2012 "'B'" "'8.50'"
2012 "'S'" "'7.50'"
2012 "'S'" "'9.50'"
2012 "'B'" "'7.00'"
2012 "'B'" "'8.00'"
2012 "'S'" "'8.50'"
2012 "'B'" "'3.50'"
2012 "'S'" "'6.50'"
2012 "'S'" "'6.50'"
2012 "'S'" "'10.50'"
2012 "'B'" "'8.50'"
2012 "'S'" "'8.00'"
2012 "'B'" "'10.00'"
2012 "'S'" "'10.00'"
2012 "'S'" "'9.50'"
2012 "'S'" "'9.00'"
2012 "'S'" "'10.00'"
2012 "'B'" "'7.50'"
2012 "'S'" "'4.50'"
2012 "'S'" "'4.50'"
2012 "'S'" "'0.50'"
2012 "'B'" "'6.50'"
2012 "'S'" "'4.50'"
2012 "'S'" "'5.50'"
2012 "'B'" "'5.00'"
2012 "'S'" "'6.00'"
2012 "'B'" "'4.00'"
2012 "'B'" "'8.00'"
2012 "'B'" "'10.50'"
2012 "'S'" "'8.50'"
2012 "'B'" "'6.50'"
2012 "'B'" "'8.00'"
2012 "'S'" "'8.50'"
2012 "'S'" "'5.50'"
2012 "'S'" "'7.00'"
2012 "'S'" "'5.00'"
2012 "'S'" "'3.50'"
2012 "'S'" "'5.00'"
2012 "'B'" "'9.00'"
2012 "'B'" "'8.50'"
2012 "'S'" "'5.00'"
2012 "'B'" "'9.50'"
2012 "'B'" "'3.00'"
2012 "'S'" "'1.50'"
2012 "'B'" "'6.00'"
2012 "'B'" "'0.50'"
2012 "'B'" "'6.50'"
2012 "'B'" "'7.50'"
2012 "'B'" "'4.50'"
2012 "'B'" "'8.00'"
2012 "'B'" "'9.00'"
2012 "'B'" "'7.50'"
2012 "'B'" "'8.50'"
2012 "'B'" "'7.00'"
2012 "'B'" "'9.50'"
2012 "'B'" "'6.50'"
2012 "'B'" "'9.50'"
2012 "'B'" "'6.00'"
2012 "'B'" "'8.00'"
2012 "'B'" "'9.50'"
2012 "'B'" "'8.00'"
2012 "'S'" "'8.00'"
2012 "'B'" "'9.00'"
2012 "'B'" "'5.00'"

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263034&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263034&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263034&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

ANOVA Model
Jaar ~ ID
means	2011.62	2011.577

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Jaar  ~  ID \tabularnewline
means & 2011.62 & 2011.577 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263034&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Jaar  ~  ID[/C][/ROW]
[ROW][C]means[/C][C]2011.62[/C][C]2011.577[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263034&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263034&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
Jaar ~ ID
means	2011.62	2011.577

ANOVA Statistics
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
ID	2	1157306470.375	578653235.187	2394711318.112	0
Residuals	284	68.625	0.242

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
ID & 2 & 1157306470.375 & 578653235.187 & 2394711318.112 & 0 \tabularnewline
Residuals & 284 & 68.625 & 0.242 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263034&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]ID[/C][C]2[/C][C]1157306470.375[/C][C]578653235.187[/C][C]2394711318.112[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]284[/C][C]68.625[/C][C]0.242[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263034&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263034&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
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
ID	2	1157306470.375	578653235.187	2394711318.112	0
Residuals	284	68.625	0.242

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=263034&T=3

[TABLE]
[ROW][C]Must Include Intercept to use Tukey Test [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263034&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263034&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
	Df	F value	Pr(>F)
Group	1	0.553	0.458
	284

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 1 & 0.553 & 0.458 \tabularnewline
  & 284 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=263034&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]0.553[/C][C]0.458[/C][/ROW]
[ROW][C] [/C][C]284[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=263034&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=263034&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
	Df	F value	Pr(>F)
Group	1	0.553	0.458
	284

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 3 ; 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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code