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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, 20 Dec 2017 17:49:58 +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/20/t1513788639vk7kv6s5qija3a0.htm/, Retrieved Tue, 14 May 2024 19:48:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=310548, Retrieved Tue, 14 May 2024 19:48:05 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact85
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)] [] [2017-12-20 16:49:58] [b1f7c59fedc08def0443d20f9974e39d] [Current]
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Dataseries X:
578	'A'
963	'A'
674	'A'
541	'A'
669	'B'
754	'B'
754	'B'
704	'B'
727	'B'
440	'B'
440	'B'
436	'B'
798	'B'
798	'B'
722	'B'
440	'B'
674	'B'
615	'B'
708	'B'
880	'B'
440	'B'
579	'B'
617	'B'
622	'B'
692	'B'
855	'B'
280	'B'
279	'B'
718	'B'
803	'B'
855	'B'
880	'B'
440	'B'
537	'B'
616	'B'
567	'B'
682	'B'
754	'B'
880	'B'
719	'B'
719	'B'
722	'B'
754	'B'
855	'B'
514	'B'
514	'B'
719	'B'
855	'B'
781	'B'
815	'B'
867	'B'
853	'B'
856	'B'
855	'B'
719	'C'
866	'C'
828	'C'
916	'C'
855	'C'
867	'C'
892	'C'
513	'C'
777	'C'
866	'C'
856	'C'
916	'C'
915	'C'
594	'C'
594	'C'
964	'C'
879	'C'
855	'C'
855	'C'
915	'C'
951	'C'
560	'C'
593	'C'
593	'C'
777	'C'
964	'C'
879	'C'
853	'C'
893	'C'
1020	'C'
597	'C'
594	'C'
780	'C'
777	'C'
886	'C'
965	'C'
957	'C'
893	'C'
1020	'C'
296	'C'
597	'C'
709	'C'
713	'C'
824	'C'
853	'C'
965	'C'
965	'C'
963	'C'
963	'C'
962	'C'
951	'C'
1020	'C'
823	'C'
951	'C'
964	'C'
965	'C'
963	'C'
965	'C'
962	'C'
951	'C'
953	'C'
1020	'C'
670	'C'
790	'C'
823	'C'
959	'C'
964	'C'
856	'C'
960	'C'
962	'C'
1132	'C'
890	'C'
951	'C'
1020	'C'
763	'C'
935	'C'
963	'C'
921	'C'
962	'C'
951	'C'
951	'C'
951	'C'
890	'C'
952	'C'
856	'C'
965	'C'
951	'C'
961	'D'
951	'D'
1112	'D'
594	'D'
594	'D'
964	'D'
965	'D'
951	'D'
951	'D'
951	'D'
1125	'D'
936	'D'
1033	'D'
900	'D'
1112	'D'
1093	'D'
1182	'D'




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=310548&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=310548&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310548&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
Lengte ~ year
means689-7.94176.287274.235

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Lengte  ~  year \tabularnewline
means & 689 & -7.94 & 176.287 & 274.235 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310548&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Lengte  ~  year[/C][/ROW]
[ROW][C]means[/C][C]689[/C][C]-7.94[/C][C]176.287[/C][C]274.235[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310548&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310548&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
Lengte ~ year
means689-7.94176.287274.235







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
year31553467.672517822.55722.8070
Residuals1543496511.69522704.621

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
year & 3 & 1553467.672 & 517822.557 & 22.807 & 0 \tabularnewline
Residuals & 154 & 3496511.695 & 22704.621 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310548&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]3[/C][C]1553467.672[/C][C]517822.557[/C][C]22.807[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]154[/C][C]3496511.695[/C][C]22704.621[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310548&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310548&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)
year31553467.672517822.55722.8070
Residuals1543496511.69522704.621







Tukey Honest Significant Difference Comparisons
difflwruprp adj
B-A-7.94-211.298195.4181
C-A176.287-23.842376.4170.105
D-A274.23556.747491.7230.007
C-B184.227114.774253.6810
D-B282.175172.298392.0530
D-C97.948-5.832201.7280.072

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
B-A & -7.94 & -211.298 & 195.418 & 1 \tabularnewline
C-A & 176.287 & -23.842 & 376.417 & 0.105 \tabularnewline
D-A & 274.235 & 56.747 & 491.723 & 0.007 \tabularnewline
C-B & 184.227 & 114.774 & 253.681 & 0 \tabularnewline
D-B & 282.175 & 172.298 & 392.053 & 0 \tabularnewline
D-C & 97.948 & -5.832 & 201.728 & 0.072 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310548&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]-7.94[/C][C]-211.298[/C][C]195.418[/C][C]1[/C][/ROW]
[ROW][C]C-A[/C][C]176.287[/C][C]-23.842[/C][C]376.417[/C][C]0.105[/C][/ROW]
[ROW][C]D-A[/C][C]274.235[/C][C]56.747[/C][C]491.723[/C][C]0.007[/C][/ROW]
[ROW][C]C-B[/C][C]184.227[/C][C]114.774[/C][C]253.681[/C][C]0[/C][/ROW]
[ROW][C]D-B[/C][C]282.175[/C][C]172.298[/C][C]392.053[/C][C]0[/C][/ROW]
[ROW][C]D-C[/C][C]97.948[/C][C]-5.832[/C][C]201.728[/C][C]0.072[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310548&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310548&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
B-A-7.94-211.298195.4181
C-A176.287-23.842376.4170.105
D-A274.23556.747491.7230.007
C-B184.227114.774253.6810
D-B282.175172.298392.0530
D-C97.948-5.832201.7280.072







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group30.5320.661
154

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 3 & 0.532 & 0.661 \tabularnewline
  & 154 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310548&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]0.532[/C][C]0.661[/C][/ROW]
[ROW][C] [/C][C]154[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310548&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310548&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)
Group30.5320.661
154



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')