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Author's title

Author

*Unverified author*

R Software Module

rwasp_One Factor ANOVA.wasp

Title produced by software

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

Date of computation

Mon, 18 Dec 2017 12:49:36 +0100

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/2017/Dec/18/t1513599399cf2s7oul020sk26.htm/, Retrieved Tue, 14 May 2024 12:51:48 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=310141, Retrieved Tue, 14 May 2024 12:51:48 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

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)] [] [2017-12-18 11:49:36] [d41d8cd98f00b204e9800998ecf8427e] [Current]

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Dataseries X:

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Histogram

Boxplots

59	'A'
59	'A'
60	'A'
88	'A'
88	'A'
160	'A'
160	'A'
160	'A'
210	'A'
197	'A'
180	'A'
211	'A'
295	'A'
287	'A'
146	'A'
324	'A'
400	'A'
400	'A'
400	'A'
373	'A'
373	'A'
355	'A'
355	'A'
445	'A'
447	'A'
460	'A'
385	'B'
470	'B'
400	'B'
350	'B'
545	'B'
297	'B'
470	'B'
438	'B'
636	'B'
380	'B'
520	'B'
520	'B'
530	'B'
535	'B'
557	'B'
588	'B'
588	'B'
588	'B'
750	'B'
617	'B'
644	'B'
600	'B'
670	'B'
600	'B'
561	'B'
531	'B'
660	'B'
680	'B'
670	'B'
636	'B'
612	'B'
630	'C'
700	'C'
700	'C'
760	'C'
696	'C'
740	'C'
614	'C'
614	'C'
945	'C'
945	'C'
858	'C'
921	'C'
720	'C'
842	'C'
800	'C'
850	'C'
909	'C'
794	'C'
909	'C'
766	'C'
900	'C'
900	'C'
900	'C'
760	'C'
760	'C'
1300	'C'
1200	'C'
869	'C'
900	'C'
900	'C'
900	'C'
800	'C'
959	'C'
900	'C'
671	'C'
999	'C'
999	'C'
999	'C'
999	'C'
920	'C'
920	'C'
920	'C'
920	'C'
920	'C'
920	'C'
920	'C'
920	'C'
720	'C'
800	'C'
920	'C'
920	'C'
930	'C'
1030	'C'
930	'C'
1029	'C'
1000	'C'
1100	'C'
1100	'C'
1109	'D'
765	'D'
660	'D'
848	'D'
869	'D'
868	'D'
858	'D'
987	'D'
1100	'D'
1110	'D'
1200	'D'
1253	'D'
1000	'D'
1238	'D'
1238	'D'
1068	'D'
1068	'D'
822	'D'
822	'D'
1000	'D'
1150	'D'
1100	'D'
670	'D'
808	'D'
1910	'D'
1160	'D'
1160	'D'
1160	'D'
1200	'D'
1185	'D'
1176	'D'
1185	'D'
1185	'D'
1176	'D'
1220	'D'
1360	'D'
1150	'D'
1200	'D'
1090	'D'
1313	'D'
1360	'D'
1360	'D'
2100	'D'

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	4 seconds
R Server	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time4 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310141&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

4 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=310141&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310141&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	4 seconds
R Server	Big Analytics Cloud Computing Center

ANOVA Model
crew ~ passagiers
means	257.385	291.906	624.805	864.964

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
crew  ~  passagiers \tabularnewline
means & 257.385 & 291.906 & 624.805 & 864.964 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310141&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]crew  ~  passagiers[/C][/ROW]
[ROW][C]means[/C][C]257.385[/C][C]291.906[/C][C]624.805[/C][C]864.964[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310141&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310141&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
crew ~ passagiers
means	257.385	291.906	624.805	864.964

ANOVA Statistics
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
passagiers	3	14396675.208	4798891.736	151.622	0
Residuals	154	4874161.222	31650.398

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
passagiers & 3 & 14396675.208 & 4798891.736 & 151.622 & 0 \tabularnewline
Residuals & 154 & 4874161.222 & 31650.398 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310141&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]passagiers[/C][C]3[/C][C]14396675.208[/C][C]4798891.736[/C][C]151.622[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]154[/C][C]4874161.222[/C][C]31650.398[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310141&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310141&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)
passagiers	3	14396675.208	4798891.736	151.622	0
Residuals	154	4874161.222	31650.398

Tukey Honest Significant Difference Comparisons
	diff	lwr	upr	p adj
B-A	291.906	169.025	414.786	0
C-A	624.805	515.749	733.861	0
D-A	864.964	750.171	979.757	0
C-B	332.899	230.095	435.704	0
D-B	573.059	464.187	681.93	0
D-C	240.159	147.172	333.147	0

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
B-A & 291.906 & 169.025 & 414.786 & 0 \tabularnewline
C-A & 624.805 & 515.749 & 733.861 & 0 \tabularnewline
D-A & 864.964 & 750.171 & 979.757 & 0 \tabularnewline
C-B & 332.899 & 230.095 & 435.704 & 0 \tabularnewline
D-B & 573.059 & 464.187 & 681.93 & 0 \tabularnewline
D-C & 240.159 & 147.172 & 333.147 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310141&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]B-A[/C][C]291.906[/C][C]169.025[/C][C]414.786[/C][C]0[/C][/ROW]
[ROW][C]C-A[/C][C]624.805[/C][C]515.749[/C][C]733.861[/C][C]0[/C][/ROW]
[ROW][C]D-A[/C][C]864.964[/C][C]750.171[/C][C]979.757[/C][C]0[/C][/ROW]
[ROW][C]C-B[/C][C]332.899[/C][C]230.095[/C][C]435.704[/C][C]0[/C][/ROW]
[ROW][C]D-B[/C][C]573.059[/C][C]464.187[/C][C]681.93[/C][C]0[/C][/ROW]
[ROW][C]D-C[/C][C]240.159[/C][C]147.172[/C][C]333.147[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310141&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310141&T=3

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Tukey Honest Significant Difference Comparisons
	diff	lwr	upr	p adj
B-A	291.906	169.025	414.786	0
C-A	624.805	515.749	733.861	0
D-A	864.964	750.171	979.757	0
C-B	332.899	230.095	435.704	0
D-B	573.059	464.187	681.93	0
D-C	240.159	147.172	333.147	0

Levenes Test for Homogeneity of Variance
	Df	F value	Pr(>F)
Group	3	4.261	0.006
	154

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 3 & 4.261 & 0.006 \tabularnewline
  & 154 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310141&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]4.261[/C][C]0.006[/C][/ROW]
[ROW][C] [/C][C]154[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310141&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310141&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	3	4.261	0.006
	154

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

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')

Free Statistics

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code