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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 computationSat, 30 Oct 2010 16:40:37 +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/30/t1288456794e6tbomclmh471pe.htm/, Retrieved Thu, 02 May 2024 14:01:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=90412, Retrieved Thu, 02 May 2024 14:01:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact116

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Paired and Unpaired Two Samples Tests about the Mean] [Dagelijkse omzet ...] [2010-10-25 11:22:12] [b98453cac15ba1066b407e146608df68]
F RMPD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Workshop 6 short] [2010-10-30 16:40:37] [0cadca125c925bcc9e6efbdd1941e458] [Current]
F   PD      [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Workshop 5 Q6] [2010-11-01 16:12:35] [ebb35fb07def4d07c0eb7ec8d2fd3b0e]
Feedback Forum
2010-11-07 14:23:59 [411b43619fc9db329bbcdbf7261c55fb] [reply] 
De auteur heeft bij zijn berekening gebruikt gemaakt van de post1 resultaten (en niet het verschil van de post1-pre), dus hij vergelijkt niet het verschil op korte termijn bij zijn berekening. Hij heeft ook de ‘Include intercept terms’ op FALSE gezet, daarom kreeg hij een zeer beperkt resultaat te zien. Bijgevolg kon hij geen gebruik maken van de ‘Tukey Honest test’. (bekijk http://www.freestatistics.org/blog/index.php?v=date/2010/Nov/07/t1289119138p7qr42rwmm108d4.htm/ voor de berekening met de juiste parameters en data). De auteur merkt wel juist op dat E de beste treatment is op korte termijn. Bij S-E is er een sterk bewijs dat E beter is dan S, dit merken we aan de lage p waarde (0,052). Bij T-E is er geen verschil, of een zwak bewijs (afhankelijk van uw mening), dit merken we aan de hogere p waarde (11,8%).

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1	'T'
1	'T'
1	'T'
0	'T'
1	'T'
1	'T'
1	'T'
1	'T'
1	'T'
1	'T'
0	'T'
1	'T'
1	'T'
1	'T'
0	'T'
1	'T'
1	'T'
1	'T'
1	'T'
0	'T'
1	'T'
1	'T'
0	'T'
0	'T'
1	'T'
0	'T'
1	'T'
0	'T'
0	'T'
1	'T'
0	'T'
1	'T'
0	'T'
0	'T'
0	'T'
1	'T'
1	'T'
1	'E'
1	'E'
1	'E'
1	'E'
1	'E'
1	'E'
1	'E'
0	'E'
1	'E'
1	'E'
1	'E'
1	'E'
0	'E'
1	'E'
1	'E'
1	'E'
0	'E'
1	'E'
1	'E'
1	'E'
1	'E'
0	'E'
0	'E'
1	'E'
1	'E'
1	'E'
0	'E'
0	'E'
1	'E'
1	'E'
0	'E'
1	'E'
1	'E'
1	'S'
1	'S'
1	'S'
1	'S'
1	'S'
0	'S'
0	'S'
1	'S'
0	'S'
1	'S'
0	'S'
0	'S'
0	'S'
0	'S'
0	'S'
0	'S'
0	'S'
1	'S'
0	'S'
0	'S'
1	'S'
1	'S'
1	'S'
1	'S'
1	'S'
1	'S'
1	'S'
1	'S'
0	'S'
0	'S'
1	'S'
0	'S'
0	'S'
0	'S'
1	'S'

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'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=90412&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=90412&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=90412&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'RServer@AstonUniversity' @ vre.aston.ac.uk






ANOVA Model
pre ~ post1
means0.7580.5140.649

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
pre  ~  post1 \tabularnewline
means & 0.758 & 0.514 & 0.649 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=90412&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]pre  ~  post1[/C][/ROW]
[ROW][C]means[/C][C]0.758[/C][C]0.514[/C][C]0.649[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=90412&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=90412&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
pre ~ post1
means0.7580.5140.649






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
post1343.76414.58864.0380
Residuals10223.2360.228 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
post1 & 3 & 43.764 & 14.588 & 64.038 & 0 \tabularnewline
Residuals & 102 & 23.236 & 0.228 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=90412&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]post1[/C][C]3[/C][C]43.764[/C][C]14.588[/C][C]64.038[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]102[/C][C]23.236[/C][C]0.228[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=90412&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=90412&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)
post1343.76414.58864.0380
Residuals10223.2360.228






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=90412&T=3

[TABLE]
[ROW][C]Must Include Intercept to use Tukey Test [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=90412&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=90412&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)
Group22.2210.114
102 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 2.221 & 0.114 \tabularnewline
  & 102 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=90412&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]2.221[/C][C]0.114[/C][/ROW]
[ROW][C] [/C][C]102[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=90412&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=90412&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)
Group22.2210.114
102


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){
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')