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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 computationFri, 29 Oct 2010 08:56:06 +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/29/t1288342629y03d6cpvonj0zdr.htm/, Retrieved Sun, 28 Apr 2024 21:49:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=89943, Retrieved Sun, 28 Apr 2024 21:49:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact239

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)] [Golfballs] [2010-10-25 12:27:51] [b98453cac15ba1066b407e146608df68]
-   PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS5: Vraag 6] [2010-10-29 08:56:06] [380f6bceef280be3d93cc6fafd18141e] [Current]
-           [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Taak 6: One way A...] [2010-10-29 11:07:09] [74deae64b71f9d77c839af86f7c687b5]
F    D        [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Taak 7: treatment...] [2010-10-29 13:58:26] [74deae64b71f9d77c839af86f7c687b5]
-               [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS5 Q7] [2010-11-02 11:58:57] [afe9379cca749d06b3d6872e02cc47ed]
-   PD            [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-11-02 15:04:33] [fc9068db680cd880760a7c0fccd81a61]
F   PD            [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-11-02 15:04:33] [fc9068db680cd880760a7c0fccd81a61]
-   P             [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [short term] [2010-11-02 15:07:04] [fc9068db680cd880760a7c0fccd81a61]
F R P             [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS 5 Q 7] [2010-11-02 17:04:43] [4f85667043e8913570b3eb8f368f82b2]
- RM              [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS 5 - 7.1 ] [2011-11-08 22:12:44] [2c786c21adba4dd4c8af44dce5258f06]
- R P             [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS5 taak 7] [2012-10-29 17:10:26] [ebc10d82be597731a57172229e4f44b7]
- R P             [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Q7 - korte termijn] [2012-10-29 21:16:44] [74be16979710d4c4e7c6647856088456]
- R P               [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2012-10-30 18:18:03] [74be16979710d4c4e7c6647856088456]
- R               [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Q7 KT] [2012-10-30 19:47:32] [bbed103f50d9b60ea97669d7e6947a11]
-           [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [ws5.6] [2010-11-01 13:44:17] [e4076051fbfb461c886b1e223cd7862f]
-   PD      [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [question 6] [2010-11-02 13:30:24] [dc30d19c3bc2be07fe595ad36c2cf923]
- R         [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Q6] [2010-11-02 18:15:59] [8ec018d7298e4a3ae278d8b7199e08b6]
-    D        [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Q7] [2010-11-02 18:27:14] [8ec018d7298e4a3ae278d8b7199e08b6]
- R         [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2011-11-08 19:04:46] [74be16979710d4c4e7c6647856088456]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4	'T'
0	'T'
5	'T'
0	'T'
0	'T'
0	'T'
0	'T'
1	'T'
5	'T'
1	'T'
4	'T'
1	'T'
3	'T'
1	'T'
0	'T'
0	'T'
1	'T'
0	'T'
1	'T'
2	'T'
2	'T'
1	'T'
2	'T'
-1	'T'
3	'T'
-1	'T'
0	'T'
0	'T'
1	'T'
0	'T'
-1	'T'
4	'T'
0	'T'
1	'T'
0	'T'
0	'T'
4	'T'
2	'E'
1	'E'
4	'E'
0	'E'
4	'E'
0	'E'
0	'E'
0	'E'
5	'E'
1	'E'
0	'E'
4	'E'
4	'E'
1	'E'
1	'E'
1	'E'
4	'E'
1	'E'
3	'E'
1	'E'
5	'E'
4	'E'
0	'E'
1	'E'
4	'E'
0	'E'
-1	'E'
2	'E'
1	'E'
1	'E'
0	'E'
4	'E'
4	'E'
3	'S'
1	'S'
1	'S'
5	'S'
0	'S'
-1	'S'
1	'S'
2	'S'
-1	'S'
2	'S'
0	'S'
4	'S'
4	'S'
-1	'S'
0	'S'
4	'S'
-1	'S'
4	'S'
2	'S'
2	'S'
0	'S'
0	'S'
4	'S'
1	'S'
0	'S'
0	'S'
4	'S'
4	'S'
0	'S'
0	'S'
2	'S'
1	'S'
0	'S'
2	'S'
2	'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=89943&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=89943&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89943&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
totaal ~ treatment
means1.879-0.422-0.69

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
totaal  ~  treatment \tabularnewline
means & 1.879 & -0.422 & -0.69 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89943&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]totaal  ~  treatment[/C][/ROW]
[ROW][C]means[/C][C]1.879[/C][C]-0.422[/C][C]-0.69[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89943&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89943&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
totaal ~ treatment
means1.879-0.422-0.69






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
treatment28.3714.1861.3430.266
Residuals102317.8773.116 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
treatment & 2 & 8.371 & 4.186 & 1.343 & 0.266 \tabularnewline
Residuals & 102 & 317.877 & 3.116 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89943&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]treatment[/C][C]2[/C][C]8.371[/C][C]4.186[/C][C]1.343[/C][C]0.266[/C][/ROW]
[ROW][C]Residuals[/C][C]102[/C][C]317.877[/C][C]3.116[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89943&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89943&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)
treatment28.3714.1861.3430.266
Residuals102317.8773.116






Tukey Honest Significant Difference Comparisons
difflwruprp adj
S-E-0.422-1.440.5970.588
T-E-0.69-1.6950.3160.237
T-S-0.268-1.2580.7220.796

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
S-E & -0.422 & -1.44 & 0.597 & 0.588 \tabularnewline
T-E & -0.69 & -1.695 & 0.316 & 0.237 \tabularnewline
T-S & -0.268 & -1.258 & 0.722 & 0.796 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89943&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]S-E[/C][C]-0.422[/C][C]-1.44[/C][C]0.597[/C][C]0.588[/C][/ROW]
[ROW][C]T-E[/C][C]-0.69[/C][C]-1.695[/C][C]0.316[/C][C]0.237[/C][/ROW]
[ROW][C]T-S[/C][C]-0.268[/C][C]-1.258[/C][C]0.722[/C][C]0.796[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89943&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89943&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
S-E-0.422-1.440.5970.588
T-E-0.69-1.6950.3160.237
T-S-0.268-1.2580.7220.796






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group20.3970.673
102 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 0.397 & 0.673 \tabularnewline
  & 102 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89943&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]0.397[/C][C]0.673[/C][/ROW]
[ROW][C] [/C][C]102[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89943&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89943&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)
Group20.3970.673
102


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()
}
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')