Free Statistics

of Irreproducible Research!

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 computationThu, 14 Dec 2017 16:42:09 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Dec/14/t15132687162frtx9m85wbkk84.htm/, Retrieved Tue, 14 May 2024 12:19:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=309551, Retrieved Tue, 14 May 2024 12:19:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact37
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)] [] [2017-12-14 15:42:09] [20141777ecd6b11d9726230b5f8289b4] [Current]
Feedback Forum

Post a new message
Dataseries X:
22	2009
39	2009
40	2009
34	2009
38	2009
39	2009
39	2009
38	2009
31	2009
34	2009
32	2009
37	2009
36	2009
38	2009
29	2009
33	2009
35	2009
34	2009
45	2009
30	2009
33	2009
30	2009
40	2009
34	2009
31	2009
27	2009
33	2009
42	2009
36	2009
33	2009
42	2009
33	2009
21	2009
43	2009
34	2009
32	2009
34	2009
28	2009
30	2009
27	2009
29	2009
40	2009
29	2009
41	2009
33	2009
42	2009
39	2009
35	2009
33	2009
33	2009
44	2009
34	2009
30	2009
30	2009
35	2009
39	2009
34	2009
39	2009
25	2009
39	2009
33	2009
34	2009
36	2009
34	2009
31	2009
35	2009
34	2009
36	2009
40	2009
31	2009
33	2009
28	2009
42	2009
38	2009
35	2009
34	2009
28	2009
35	2009
25	2009
39	2009
25	2009
32	2009
35	2009
41	2009
34	2009
33	2009
32	2009
34	2009
25	2009
38	2009
37	2009
38	2009
36	2009
39	2009
31	2009
40	2009
34	2009
33	2009
32	2009
33	2009
32	2009
28	2009
32	2009
34	2009
36	2009
38	2009
31	2009
36	2009
27	2009
31	2009
28	2009
30	2009
29	2009
29	2009
31	2009
35	2009
42	2009
28	2009
38	2009
34	2009
28	2009
30	2009
26	2009
27	2009
31	2009
35	2009
33	2009
34	2009
30	2009
28	2009
30	2009
29	2009
32	2009
34	2009
34	2009
35	2009
40	2009
34	2009
28	2009
35	2009
31	2009
33	2009
36	2009
30	2009
27	2009
30	2009
25	2009
39	2009
36	2009
31	2009
33	2009
30	2009
31	2009
32	2009
33	2009
43	2009
35	2009
36	2009
42	2009
31	2009
26	2009
38	2009
27	2009
27	2009
31	2009
32	2009
36	2009
36	2009
25	2009
33	2009
32	2009
40	2009
36	2009
36	2009
35	2009
31	2009
31	2009
36	2009
36	2009
37	2009
31	2009
31	2009
26	2009
35	2009
32	2009
36	2009
37	2009
34	2009
33	2009
35	2009
31	2009
38	2009
36	2009
32	2009
28	2009
33	2009
31	2009
34	2009
33	2009
36	2009
36	2009
29	2009
31	2009
35	2009
31	2009
35	2009
36	2009
35	2009
38	2009
28	2009
28	2009
28	2009
34	2009
31	2009
44	2009
36	2009
36	2009
34	2009
32	2009
36	2009
38	2009
28	2009
37	2009
32	2009
36	2009
30	2009
38	2009
37	2009
33	2009
43	2009
26	2009
33	2009
34	2009
36	2009
36	2009
36	2009
36	2009
39	2009
33	2009
35	2009
25	2009
26	2009
35	2009
16	2009
40	2009
14	2009
22	2009
21	2009
38	2009
38	2009
27	2009
40	2009
40	2009
19	2009
29	2009
37	2009
27	2009
26	2009
24	2009
29	2009
26	2009
27	2009
35	2009
39	2009
38	2009
36	2009
37	2009
36	2017
32	2017
33	2017
39	2017
34	2017
39	2017
36	2017
33	2017
30	2017
39	2017
37	2017
37	2017
35	2017
32	2017
36	2017
36	2017
41	2017
36	2017
37	2017
29	2017
39	2017
37	2017
32	2017
36	2017
43	2017
30	2017
33	2017
28	2017
30	2017
28	2017
39	2017
34	2017
34	2017
29	2017
32	2017
33	2017
27	2017
35	2017
38	2017
40	2017
34	2017
34	2017
26	2017
39	2017
34	2017
39	2017
26	2017
30	2017
34	2017
34	2017
29	2017
41	2017
43	2017
31	2017
33	2017
34	2017
30	2017
23	2017
29	2017
35	2017
40	2017
27	2017
30	2017
27	2017
29	2017
33	2017
32	2017
33	2017
36	2017
34	2017
45	2017
30	2017
22	2017
24	2017
25	2017
26	2017
27	2017
27	2017
35	2017
36	2017
32	2017
35	2017
35	2017
36	2017
37	2017
33	2017
25	2017
35	2017
37	2017
36	2017
35	2017
29	2017
35	2017
31	2017
30	2017
37	2017
36	2017
35	2017
32	2017
34	2017
37	2017
36	2017
39	2017
37	2017
31	2017
40	2017
38	2017
35	2017
38	2017
32	2017
41	2017
28	2017
40	2017
25	2017
28	2017
37	2017
37	2017
40	2017
26	2017
30	2017
32	2017
31	2017
28	2017
34	2017
39	2017
33	2017
43	2017
37	2017
31	2017
31	2017
34	2017
32	2017
27	2017
34	2017
28	2017
32	2017
39	2017
28	2017
39	2017
32	2017
36	2017
31	2017
39	2017
23	2017
25	2017
32	2017
32	2017
36	2017
39	2017
31	2017
32	2017
28	2017
34	2017
28	2017
38	2017
35	2017
32	2017
26	2017
32	2017
28	2017
31	2017
33	2017
38	2017
38	2017
36	2017
31	2017
36	2017
43	2017
37	2017
28	2017
35	2017
34	2017
40	2017
31	2017
41	2017
35	2017
38	2017
37	2017
31	2017




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R ServerBig 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=309551&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=309551&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309551&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 Outputview raw output of R engine
Computing time4 seconds
R ServerBig Analytics Cloud Computing Center







ANOVA Model
EaseOfUse ~ Year
means33.2620.28

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
EaseOfUse  ~  Year \tabularnewline
means & 33.262 & 0.28 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309551&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]EaseOfUse  ~  Year[/C][/ROW]
[ROW][C]means[/C][C]33.262[/C][C]0.28[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309551&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309551&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
EaseOfUse ~ Year
means33.2620.28







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Year18.3858.3850.3650.546
Residuals44410198.08422.969

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Year & 1 & 8.385 & 8.385 & 0.365 & 0.546 \tabularnewline
Residuals & 444 & 10198.084 & 22.969 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309551&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]Year[/C][C]1[/C][C]8.385[/C][C]8.385[/C][C]0.365[/C][C]0.546[/C][/ROW]
[ROW][C]Residuals[/C][C]444[/C][C]10198.084[/C][C]22.969[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309551&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309551&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)
Year18.3858.3850.3650.546
Residuals44410198.08422.969







Tukey Honest Significant Difference Comparisons
difflwruprp adj
2017-20090.28-0.631.190.546

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2017-2009 & 0.28 & -0.63 & 1.19 & 0.546 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309551&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]2017-2009[/C][C]0.28[/C][C]-0.63[/C][C]1.19[/C][C]0.546[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309551&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309551&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
difflwruprp adj
2017-20090.28-0.631.190.546







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group10.0770.782
444

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 1 & 0.077 & 0.782 \tabularnewline
  & 444 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309551&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]1[/C][C]0.077[/C][C]0.782[/C][/ROW]
[ROW][C] [/C][C]444[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309551&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309551&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)
Group10.0770.782
444



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):
par3 <- 'TRUE'
par2 <- '2'
par1 <- '1'
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')