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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 computationMon, 04 Mar 2013 17:36:46 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Mar/04/t1362441403jkhybcgmqnhecrz.htm/, Retrieved Sat, 27 Apr 2024 15:15:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=207345, Retrieved Sat, 27 Apr 2024 15:15:18 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact118
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)] [reaction times] [2013-02-25 02:07:43] [5be76439a12f594fadd95b1fb6efe649]
- R  D    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [reaction times] [2013-03-04 22:36:46] [a10b32a9516b7f89a55c2f2eef2a67c5] [Current]
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Dataseries X:
695 	'InvFamous'
811 	'InvFamous'
768 	'InvFamous'
1069 	'InvFamous'
661 	'InvFamous'
737 	'InvFamous'
549 	'InvFamous'
632 	'InvFamous'
768 	'InvFamous'
1301 	'InvFamous'
769 	'InvFamous'
608 	'InvFamous'
598 	'InvFamous'
695 	'InvFamous'
848 	'InvFamous'
596 	'InvFamous'
793 	'InvFamous'
1280 	'InvFamous'
949 	'InvFamous'
820 	'InvFamous'
806 	'InvFamous'
919 	'InvFamous'
910 	'InvFamous'
534 	'InvFamous'
564  'InvFamous'
827  'InvFamous'
441  'InvFamous'
602  'InvFamous'
744  'InvFamous'
1249 'InvFamous'
808  'InvFamous'
4060 'InvFamous'
996  'InvFamous'
814  'InvFamous'
1608 'InvFamous'
1167 'InvFamous'
1476 'InvNonfam'
839  'InvNonfam'
1246 'InvNonfam'
804  'InvNonfam'
737  'InvNonfam'
420  'InvNonfam'
606  'InvNonfam'
395  'InvNonfam'
1011 'InvNonfam'
579  'InvNonfam'
675  'InvNonfam'
784  'InvNonfam'
1781 'InvNonfam'
1687 'InvNonfam'
1142 'InvNonfam'
636  'InvNonfam'
948  'InvNonfam'
874  'InvNonfam'
1744 'InvNonfam'
1239 'InvNonfam'
1193 'InvNonfam'
1073 'InvNonfam'
1811 'InvNonfam'
1152 'InvNonfam'
1110 'InvNonfam'
1776 'InvNonfam'
903  'InvNonfam'
770  'InvNonfam'
1396 'InvNonfam'
948  'InvNonfam'
1049 'InvNonfam'
897  'InvNonfam'
372  'InvNonfam'
316  'InvNonfam'
848  'InvNonfam'
2800 'InvNonfam'
2301 'InvNonfam'
1931 'InvNonfam'
4196 'InvNonfam'
1567 'InvNonfam'
2016 'InvNonfam'
1290 'InvNonfam'
1006 'InvNonfam'
589  'InvNonfam'
807  'InvNonfam'
825  'UpFam'
737  'UpFam'
785  'UpFam'
838  'UpFam'
634  'UpFam'
734  'UpFam'
519  'UpFam'
484  'UpFam'
417  'UpFam'
716  'UpFam'
802  'UpFam'
600  'UpFam'
1500  'UpFam' 
657  'UpFam'
2527  'UpFam'
749  'UpFam'
867  'UpFam'
676  'UpFam'
612  'UpFam'
672  'UpFam'
614  'UpFam'
909  'UpFam'
717  'UpFam'
638  'UpFam'
888  'UpFam'
609  'UpFam'
536  'UpFam'
577  'UpFam'
610  'UpFam'
793  'UpFam'
567  'UpFam'
748  'UpFam'
651  'UpFam'
437  'UpFam'
738  'UpFam'
1392  'UpFam'
1325  'UpFam'
857  'UpFam'
728  'UpFam'
1315  'UpFam'
993  'UpFam'
820  'UpFam'
957  'UpFam'
809  'UpFam'
721  'UpFam'
1744  'UpNonfam'
588  'UpNonfam'
899  'UpNonfam'
921  'UpNonfam'
680  'UpNonfam'
778  'UpNonfam'
515  'UpNonfam'
497  'UpNonfam'
665  'UpNonfam'
568  'UpNonfam'
674  'UpNonfam'
622  'UpNonfam'
1221  'UpNonfam'
946  'UpNonfam'
1220  'UpNonfam'
693  'UpNonfam'
1239  'UpNonfam'
1219  'UpNonfam'
1476  'UpNonfam'
1165  'UpNonfam'
847  'UpNonfam'
676  'UpNonfam'
1185  'UpNonfam'
945  'UpNonfam'
785  'UpNonfam'
629  'UpNonfam'
831  'UpNonfam'
890  'UpNonfam'
1469  'UpNonfam'
1115  'UpNonfam'
413  'UpNonfam'
566  'UpNonfam'
837  'UpNonfam'
540  'UpNonfam'
514  'UpNonfam'
1324  'UpNonfam'
1236  'UpNonfam'
1784  'UpNonfam'
1359  'UpNonfam'
706  'UpNonfam'
998  'UpNonfam'
1047  'UpNonfam'
957  'UpNonfam'
929  'UpNonfam'
988  'UpNonfam'




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' @ fisher.wessa.net

\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' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=207345&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' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=207345&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=207345&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' @ fisher.wessa.net







ANOVA Model
ReactionTime ~ Face
means916.556277.667-109.88914.556

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
ReactionTime  ~  Face \tabularnewline
means & 916.556 & 277.667 & -109.889 & 14.556 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=207345&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]ReactionTime  ~  Face[/C][/ROW]
[ROW][C]means[/C][C]916.556[/C][C]277.667[/C][C]-109.889[/C][C]14.556[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=207345&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=207345&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
ReactionTime ~ Face
means916.556277.667-109.88914.556







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Face33628683.3921209561.1314.5340.004
Residuals16744555083.111266796.905

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Face & 3 & 3628683.392 & 1209561.131 & 4.534 & 0.004 \tabularnewline
Residuals & 167 & 44555083.111 & 266796.905 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=207345&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]Face[/C][C]3[/C][C]3628683.392[/C][C]1209561.131[/C][C]4.534[/C][C]0.004[/C][/ROW]
[ROW][C]Residuals[/C][C]167[/C][C]44555083.111[/C][C]266796.905[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=207345&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=207345&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)
Face33628683.3921209561.1314.5340.004
Residuals16744555083.111266796.905







Tukey Honest Significant Difference Comparisons
difflwruprp adj
InvNonfam-InvFamous277.667-22.061577.3950.08
UpFam-InvFamous-109.889-409.617189.8390.777
UpNonfam-InvFamous14.556-285.172314.2840.999
UpFam-InvNonfam-387.556-670.142-104.9690.003
UpNonfam-InvNonfam-263.111-545.69719.4750.078
UpNonfam-UpFam124.444-158.142407.0310.664

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
InvNonfam-InvFamous & 277.667 & -22.061 & 577.395 & 0.08 \tabularnewline
UpFam-InvFamous & -109.889 & -409.617 & 189.839 & 0.777 \tabularnewline
UpNonfam-InvFamous & 14.556 & -285.172 & 314.284 & 0.999 \tabularnewline
UpFam-InvNonfam & -387.556 & -670.142 & -104.969 & 0.003 \tabularnewline
UpNonfam-InvNonfam & -263.111 & -545.697 & 19.475 & 0.078 \tabularnewline
UpNonfam-UpFam & 124.444 & -158.142 & 407.031 & 0.664 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=207345&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]InvNonfam-InvFamous[/C][C]277.667[/C][C]-22.061[/C][C]577.395[/C][C]0.08[/C][/ROW]
[ROW][C]UpFam-InvFamous[/C][C]-109.889[/C][C]-409.617[/C][C]189.839[/C][C]0.777[/C][/ROW]
[ROW][C]UpNonfam-InvFamous[/C][C]14.556[/C][C]-285.172[/C][C]314.284[/C][C]0.999[/C][/ROW]
[ROW][C]UpFam-InvNonfam[/C][C]-387.556[/C][C]-670.142[/C][C]-104.969[/C][C]0.003[/C][/ROW]
[ROW][C]UpNonfam-InvNonfam[/C][C]-263.111[/C][C]-545.697[/C][C]19.475[/C][C]0.078[/C][/ROW]
[ROW][C]UpNonfam-UpFam[/C][C]124.444[/C][C]-158.142[/C][C]407.031[/C][C]0.664[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=207345&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=207345&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
InvNonfam-InvFamous277.667-22.061577.3950.08
UpFam-InvFamous-109.889-409.617189.8390.777
UpNonfam-InvFamous14.556-285.172314.2840.999
UpFam-InvNonfam-387.556-670.142-104.9690.003
UpNonfam-InvNonfam-263.111-545.69719.4750.078
UpNonfam-UpFam124.444-158.142407.0310.664







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group33.630.014
167

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 3 & 3.63 & 0.014 \tabularnewline
  & 167 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=207345&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]3.63[/C][C]0.014[/C][/ROW]
[ROW][C] [/C][C]167[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=207345&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=207345&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)
Group33.630.014
167



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):
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')