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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, 05 Nov 2013 14:51:53 -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/05/t13836811572iaa6ekf6qtb1wj.htm/, Retrieved Mon, 29 Apr 2024 06:48:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=222831, Retrieved Mon, 29 Apr 2024 06:48:48 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact76

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)] [Workshop 7 Task 7] [2013-11-05 19:51:53] [9e345f4af24c955bbdd99e7ffb840b0f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0 0
0 0
1 1
0 0
1 1
0 1
0 0
1 1
0 0
0 0
0 0
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0 0
0 NA
0 1
0 NA
-1 -1
0 0
0 1
1 0
0 0
0 -1
0 0
1 0
1 1
1 1
0 0
0 -1
1 0
1 0
0 1
1 0
1 0
0 0
0 0
0 -1
0 -1
0 0
0 NA
0 1
0 0
0 0
-1 NA
0 0
1 NA
1 0
0 0
0 0
0 1
0 0
0 -1
0 1
1 0
0 0
1 NA
1 0
1 NA
0 -1
1 0
0 NA
1 0
0 0
0 NA
0 0
1 0
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0 1
1 0
1 0
0 -1
0 1
1 1
1 0
0 NA
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1 NA
0 0
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1 0
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-1 -1
0 1
0 NA
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0 -1
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0 NA
0 0
1 0
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1 0
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0 0
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0 0
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0 1
0 0
0 0
0 0
0 1
0 0
0 NA
0 -1

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'Sir Maurice George Kendall' @ kendall.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 & 2 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=222831&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=222831&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=222831&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'Sir Maurice George Kendall' @ kendall.wessa.net






ANOVA Model
Exp2_post1-pre ~ Exp2_post2-pre
means-0.1430.4480.4590.343

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Exp2_post1-pre  ~  Exp2_post2-pre \tabularnewline
means & -0.143 & 0.448 & 0.459 & 0.343 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=222831&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Exp2_post1-pre  ~  Exp2_post2-pre[/C][/ROW]
[ROW][C]means[/C][C]-0.143[/C][C]0.448[/C][C]0.459[/C][C]0.343[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=222831&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=222831&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
Exp2_post1-pre ~ Exp2_post2-pre
means-0.1430.4480.4590.343






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Exp2_post2-pre32.4940.8313.7830.012
Residuals11625.4970.22 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Exp2_post2-pre & 3 & 2.494 & 0.831 & 3.783 & 0.012 \tabularnewline
Residuals & 116 & 25.497 & 0.22 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=222831&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]Exp2_post2-pre[/C][C]3[/C][C]2.494[/C][C]0.831[/C][C]3.783[/C][C]0.012[/C][/ROW]
[ROW][C]Residuals[/C][C]116[/C][C]25.497[/C][C]0.22[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=222831&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=222831&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)
Exp2_post2-pre32.4940.8313.7830.012
Residuals11625.4970.22






Tukey Honest Significant Difference Comparisons
difflwruprp adj
0--10.4480.0910.8050.008
1--10.4590.0280.8890.032
NA--10.343-0.1110.7970.206
1-00.01-0.3050.3251
NA-0-0.106-0.4520.2410.857
NA-1-0.116-0.5380.3060.891

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
0--1 & 0.448 & 0.091 & 0.805 & 0.008 \tabularnewline
1--1 & 0.459 & 0.028 & 0.889 & 0.032 \tabularnewline
NA--1 & 0.343 & -0.111 & 0.797 & 0.206 \tabularnewline
1-0 & 0.01 & -0.305 & 0.325 & 1 \tabularnewline
NA-0 & -0.106 & -0.452 & 0.241 & 0.857 \tabularnewline
NA-1 & -0.116 & -0.538 & 0.306 & 0.891 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=222831&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]0--1[/C][C]0.448[/C][C]0.091[/C][C]0.805[/C][C]0.008[/C][/ROW]
[ROW][C]1--1[/C][C]0.459[/C][C]0.028[/C][C]0.889[/C][C]0.032[/C][/ROW]
[ROW][C]NA--1[/C][C]0.343[/C][C]-0.111[/C][C]0.797[/C][C]0.206[/C][/ROW]
[ROW][C]1-0[/C][C]0.01[/C][C]-0.305[/C][C]0.325[/C][C]1[/C][/ROW]
[ROW][C]NA-0[/C][C]-0.106[/C][C]-0.452[/C][C]0.241[/C][C]0.857[/C][/ROW]
[ROW][C]NA-1[/C][C]-0.116[/C][C]-0.538[/C][C]0.306[/C][C]0.891[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=222831&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=222831&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
0--10.4480.0910.8050.008
1--10.4590.0280.8890.032
NA--10.343-0.1110.7970.206
1-00.01-0.3050.3251
NA-0-0.106-0.4520.2410.857
NA-1-0.116-0.5380.3060.891






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group30.5710.635
116 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 3 & 0.571 & 0.635 \tabularnewline
  & 116 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=222831&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]3[/C][C]0.571[/C][C]0.635[/C][/ROW]
[ROW][C] [/C][C]116[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=222831&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=222831&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)
Group30.5710.635
116


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){
'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')