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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 computationWed, 15 Dec 2010 15:13:20 +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/Dec/15/t1292426002k9o1raquas7w8yz.htm/, Retrieved Fri, 03 May 2024 14:43:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=110457, Retrieved Fri, 03 May 2024 14:43:12 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact145
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [] [2008-12-14 11:54:22] [d2d412c7f4d35ffbf5ee5ee89db327d4]
- RMP   [(Partial) Autocorrelation Function] [workshop 9 - 1] [2010-12-03 13:19:03] [ec7b4b7cc1a30b20be5ec01cdf2adbbd]
-   PD    [(Partial) Autocorrelation Function] [paper - time-seri...] [2010-12-10 14:01:10] [ec7b4b7cc1a30b20be5ec01cdf2adbbd]
- RMPD        [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [paper - one-way-a...] [2010-12-15 15:13:20] [6ea41cf020a5319fc3c331a4158019e5] [Current]
-   P           [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [paper - chi-squared] [2010-12-15 18:25:43] [ec7b4b7cc1a30b20be5ec01cdf2adbbd]
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Dataseries X:
296.95	17.20
296.84	17.20
287.54 	17.20
287.81	17.20
283.99	20.63
275.79	20.63
269.52	20.63
278.35	20.63
283.43	19.32
289.46	19.32
282.30	19.32
293.55	19.32
304.78	12.99
300.99	12.99
315.29	12.99
316.21	12.99
331.79	18.13
329.38	18.13
317.27	18.13
317.98	18.13
340.28	28.37
339.21	28.37
336.71	28.37
340.11	28.37
347.72	24.35
328.68	24.35
303.05	24.35
299.83	24.35
320.04	24.99
317.94	24.99
303.31	24.99
308.85	24.99
319.19	28.84
314.52	28.84
312.39	28.84
315.77	28.84
320.23	37.88
309.45	37.88
296.54	37.88
297.28	37.88
301.39	54.04
306.68	54.04
305.91	54.04
314.76	54.04
323.34	64.93
341.58	64.93
330.12	64.93
318.16	64.93
317.84	71.81
325.39	71.81
327.56	71.81
329.77	71.81
333.29	99.75
346.10	99.75
358.00	99.75
344.82	99.75
313.30	61.25
301.26	61.25
306.38	61.25
319.31	61.25




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110457&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 Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110457&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110457&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24







ANOVA Model
GemPrijsVliegticket_$ ~ GemOlieprijs_$
means309.317292.285324.105287.185276.912319.82312.535339.077315.467305.875307.185310.062328.3325.14345.553

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline GemPrijsVliegticket_$ ~ GemOlieprijs_$ \tabularnewline means & 309.317 & 292.285 & 324.105 & 287.185 & 276.912 & 319.82 & 312.535 & 339.077 & 315.467 & 305.875 & 307.185 & 310.062 & 328.3 & 325.14 & 345.553 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=110457&T=1

[TABLE]
[ROW]
ANOVA Model[/C][/ROW] [ROW]GemPrijsVliegticket_$ ~ GemOlieprijs_$[/C][/ROW] [ROW][C]means[/C][C]309.317[/C][C]292.285[/C][C]324.105[/C][C]287.185[/C][C]276.912[/C][C]319.82[/C][C]312.535[/C][C]339.077[/C][C]315.467[/C][C]305.875[/C][C]307.185[/C][C]310.062[/C][C]328.3[/C][C]325.14[/C][C]345.553[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=110457&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110457&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
GemPrijsVliegticket_$ ~ GemOlieprijs_$
means309.317292.285324.105287.185276.912319.82312.535339.077315.467305.875307.185310.062328.3325.14345.553







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
GemOlieprijs_$155906912.927393794.1954752.0840
Residuals453729.04682.868

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
GemOlieprijs_$ & 15 & 5906912.927 & 393794.195 & 4752.084 & 0 \tabularnewline
Residuals & 45 & 3729.046 & 82.868 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110457&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]GemOlieprijs_$[/C][C]15[/C][C]5906912.927[/C][C]393794.195[/C][C]4752.084[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]45[/C][C]3729.046[/C][C]82.868[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110457&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110457&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
DfSum SqMean SqF valuePr(>F)
GemOlieprijs_$155906912.927393794.1954752.0840
Residuals453729.04682.868







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=110457&T=3

[TABLE]
[ROW][C]Must Include Intercept to use Tukey Test [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110457&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110457&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
DfF valuePr(>F)
Group143.7670
45

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 14 & 3.767 & 0 \tabularnewline
  & 45 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110457&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]14[/C][C]3.767[/C][C]0[/C][/ROW]
[ROW][C] [/C][C]45[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110457&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110457&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
DfF valuePr(>F)
Group143.7670
45



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')