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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_Two Factor ANOVA.wasp
Title produced by softwareTwo-Way ANOVA
Date of computationWed, 17 Nov 2010 22:00:14 +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/Nov/17/t1290031127onpvemiwns6s9t5.htm/, Retrieved Thu, 18 Apr 2024 22:17:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=96972, Retrieved Thu, 18 Apr 2024 22:17:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact140

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Two-Way ANOVA] [Workshop 5 - 08] [2010-11-17 22:00:14] [f420459ea4e1f042529d081e77704a0f] [Current]
-   P     [Two-Way ANOVA] [] [2010-11-19 18:40:38] [897115520fe7b6114489bc0eeed64548]
-   P     [Two-Way ANOVA] [] [2010-11-19 18:41:04] [897115520fe7b6114489bc0eeed64548]
Feedback Forum
2010-11-25 10:19:53 [30e0eaa74ad4bcda1fef5415d2fa3c7c] [reply] 
De berekening is fout. Ik kan niet zo goed achterhalen waar je juist een fout hebt gemaakt want de input is goed. Ik vermoed dat je de foute variabelen hebt opgegeven of False hebt laten staan bij 'Include Intercept Term?'.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0	0	'E'	0	1
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0	0	'F'	0	1

Tables (Output of Computation)





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=96972&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=96972&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96972&T=0

As an alternative you can also use a QR Code:  
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
Response ~ Treatment_A * Treatment_B
means0.4710.059-0.471-0.1210.1560.198

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Response ~ Treatment_A * Treatment_B \tabularnewline
means & 0.471 & 0.059 & -0.471 & -0.121 & 0.156 & 0.198 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96972&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Response ~ Treatment_A * Treatment_B[/C][/ROW]
[ROW][C]means[/C][C]0.471[/C][C]0.059[/C][C]-0.471[/C][C]-0.121[/C][C]0.156[/C][C]0.198[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96972&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96972&T=1

As an alternative you can also use a QR Code:  
QR Code


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

ANOVA Model
Response ~ Treatment_A * Treatment_B
means0.4710.059-0.471-0.1210.1560.198






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
2
Treatment_A25.2812.64114.2840
Treatment_B2000.0010.98
Treatment_A:Treatment_B20.20.10.5410.584
Residuals11120.5190.185 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
 & 2 &  &  &  &  \tabularnewline
Treatment_A & 2 & 5.281 & 2.641 & 14.284 & 0 \tabularnewline
Treatment_B & 2 & 0 & 0 & 0.001 & 0.98 \tabularnewline
Treatment_A:Treatment_B & 2 & 0.2 & 0.1 & 0.541 & 0.584 \tabularnewline
Residuals & 111 & 20.519 & 0.185 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96972&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][/C][C]2[/C][C][/C][C][/C][C][/C][C][/C][/ROW]
[ROW][C]Treatment_A[/C][C]2[/C][C]5.281[/C][C]2.641[/C][C]14.284[/C][C]0[/C][/ROW]
[ROW][C]Treatment_B[/C][C]2[/C][C]0[/C][C]0[/C][C]0.001[/C][C]0.98[/C][/ROW]
[ROW][C]Treatment_A:Treatment_B[/C][C]2[/C][C]0.2[/C][C]0.1[/C][C]0.541[/C][C]0.584[/C][/ROW]
[ROW][C]Residuals[/C][C]111[/C][C]20.519[/C][C]0.185[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96972&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96972&T=2

As an alternative you can also use a QR Code:  
QR Code


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

ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
2
Treatment_A25.2812.64114.2840
Treatment_B2000.0010.98
Treatment_A:Treatment_B20.20.10.5410.584
Residuals11120.5190.185






Tukey Honest Significant Difference Comparisons
difflwruprp adj
F-E0.145-0.0880.3780.307
H-E-0.355-0.588-0.1220.001
H-F-0.5-0.728-0.2720
1-0-0.002-0.1620.1580.98
F:0-E:00.059-0.3690.4870.999
H:0-E:0-0.471-0.921-0.0210.035
E:1-E:0-0.121-0.5320.2910.957
F:1-E:00.095-0.3040.4930.983
H:1-E:0-0.394-0.783-0.0050.045
H:0-F:0-0.529-0.979-0.0790.011
E:1-F:0-0.179-0.5910.2320.803
F:1-F:00.036-0.3630.4351
H:1-F:0-0.452-0.841-0.0640.013
E:1-H:00.35-0.0850.7850.189
F:1-H:00.5650.1430.9880.002
H:1-H:00.077-0.3360.490.994
F:1-E:10.215-0.1660.5960.576
H:1-E:1-0.273-0.6440.0980.277
H:1-F:1-0.488-0.845-0.1310.002

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
F-E & 0.145 & -0.088 & 0.378 & 0.307 \tabularnewline
H-E & -0.355 & -0.588 & -0.122 & 0.001 \tabularnewline
H-F & -0.5 & -0.728 & -0.272 & 0 \tabularnewline
1-0 & -0.002 & -0.162 & 0.158 & 0.98 \tabularnewline
F:0-E:0 & 0.059 & -0.369 & 0.487 & 0.999 \tabularnewline
H:0-E:0 & -0.471 & -0.921 & -0.021 & 0.035 \tabularnewline
E:1-E:0 & -0.121 & -0.532 & 0.291 & 0.957 \tabularnewline
F:1-E:0 & 0.095 & -0.304 & 0.493 & 0.983 \tabularnewline
H:1-E:0 & -0.394 & -0.783 & -0.005 & 0.045 \tabularnewline
H:0-F:0 & -0.529 & -0.979 & -0.079 & 0.011 \tabularnewline
E:1-F:0 & -0.179 & -0.591 & 0.232 & 0.803 \tabularnewline
F:1-F:0 & 0.036 & -0.363 & 0.435 & 1 \tabularnewline
H:1-F:0 & -0.452 & -0.841 & -0.064 & 0.013 \tabularnewline
E:1-H:0 & 0.35 & -0.085 & 0.785 & 0.189 \tabularnewline
F:1-H:0 & 0.565 & 0.143 & 0.988 & 0.002 \tabularnewline
H:1-H:0 & 0.077 & -0.336 & 0.49 & 0.994 \tabularnewline
F:1-E:1 & 0.215 & -0.166 & 0.596 & 0.576 \tabularnewline
H:1-E:1 & -0.273 & -0.644 & 0.098 & 0.277 \tabularnewline
H:1-F:1 & -0.488 & -0.845 & -0.131 & 0.002 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96972&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]F-E[/C][C]0.145[/C][C]-0.088[/C][C]0.378[/C][C]0.307[/C][/ROW]
[ROW][C]H-E[/C][C]-0.355[/C][C]-0.588[/C][C]-0.122[/C][C]0.001[/C][/ROW]
[ROW][C]H-F[/C][C]-0.5[/C][C]-0.728[/C][C]-0.272[/C][C]0[/C][/ROW]
[ROW][C]1-0[/C][C]-0.002[/C][C]-0.162[/C][C]0.158[/C][C]0.98[/C][/ROW]
[ROW][C]F:0-E:0[/C][C]0.059[/C][C]-0.369[/C][C]0.487[/C][C]0.999[/C][/ROW]
[ROW][C]H:0-E:0[/C][C]-0.471[/C][C]-0.921[/C][C]-0.021[/C][C]0.035[/C][/ROW]
[ROW][C]E:1-E:0[/C][C]-0.121[/C][C]-0.532[/C][C]0.291[/C][C]0.957[/C][/ROW]
[ROW][C]F:1-E:0[/C][C]0.095[/C][C]-0.304[/C][C]0.493[/C][C]0.983[/C][/ROW]
[ROW][C]H:1-E:0[/C][C]-0.394[/C][C]-0.783[/C][C]-0.005[/C][C]0.045[/C][/ROW]
[ROW][C]H:0-F:0[/C][C]-0.529[/C][C]-0.979[/C][C]-0.079[/C][C]0.011[/C][/ROW]
[ROW][C]E:1-F:0[/C][C]-0.179[/C][C]-0.591[/C][C]0.232[/C][C]0.803[/C][/ROW]
[ROW][C]F:1-F:0[/C][C]0.036[/C][C]-0.363[/C][C]0.435[/C][C]1[/C][/ROW]
[ROW][C]H:1-F:0[/C][C]-0.452[/C][C]-0.841[/C][C]-0.064[/C][C]0.013[/C][/ROW]
[ROW][C]E:1-H:0[/C][C]0.35[/C][C]-0.085[/C][C]0.785[/C][C]0.189[/C][/ROW]
[ROW][C]F:1-H:0[/C][C]0.565[/C][C]0.143[/C][C]0.988[/C][C]0.002[/C][/ROW]
[ROW][C]H:1-H:0[/C][C]0.077[/C][C]-0.336[/C][C]0.49[/C][C]0.994[/C][/ROW]
[ROW][C]F:1-E:1[/C][C]0.215[/C][C]-0.166[/C][C]0.596[/C][C]0.576[/C][/ROW]
[ROW][C]H:1-E:1[/C][C]-0.273[/C][C]-0.644[/C][C]0.098[/C][C]0.277[/C][/ROW]
[ROW][C]H:1-F:1[/C][C]-0.488[/C][C]-0.845[/C][C]-0.131[/C][C]0.002[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96972&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96972&T=3

As an alternative you can also use a QR Code:  
QR Code


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

Tukey Honest Significant Difference Comparisons
difflwruprp adj
F-E0.145-0.0880.3780.307
H-E-0.355-0.588-0.1220.001
H-F-0.5-0.728-0.2720
1-0-0.002-0.1620.1580.98
F:0-E:00.059-0.3690.4870.999
H:0-E:0-0.471-0.921-0.0210.035
E:1-E:0-0.121-0.5320.2910.957
F:1-E:00.095-0.3040.4930.983
H:1-E:0-0.394-0.783-0.0050.045
H:0-F:0-0.529-0.979-0.0790.011
E:1-F:0-0.179-0.5910.2320.803
F:1-F:00.036-0.3630.4351
H:1-F:0-0.452-0.841-0.0640.013
E:1-H:00.35-0.0850.7850.189
F:1-H:00.5650.1430.9880.002
H:1-H:00.077-0.3360.490.994
F:1-E:10.215-0.1660.5960.576
H:1-E:1-0.273-0.6440.0980.277
H:1-F:1-0.488-0.845-0.1310.002






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group54.340.001
111 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 5 & 4.34 & 0.001 \tabularnewline
  & 111 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96972&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]5[/C][C]4.34[/C][C]0.001[/C][/ROW]
[ROW][C] [/C][C]111[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96972&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96972&T=4

As an alternative you can also use a QR Code:  
QR Code


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

Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group54.340.001
111


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
par1 = 2 ; par2 = 3 ; par3 = 5 ; par4 = TRUE ;
R code (references can be found in the software module):
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
cat3 <- as.numeric(par3)
intercept<-as.logical(par4)
x <- t(x)
x1<-as.numeric(x[,cat1])
f1<-as.character(x[,cat2])
f2 <- as.character(x[,cat3])
xdf<-data.frame(x1,f1, f2)
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
(V3 <-dimnames(y)[[1]][cat3])
names(xdf)<-c('Response', 'Treatment_A', 'Treatment_B')
if(intercept == FALSE) (lmxdf<-lm(Response ~ Treatment_A * Treatment_B- 1, data = xdf) ) else (lmxdf<-lm(Response ~ Treatment_A * Treatment_B, 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$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, lmxdf$call['formula'],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$coefficients[i], digits=3),,FALSE)
}
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Statistics', 5+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ',,TRUE)
a<-table.element(a, 'Df',,FALSE)
a<-table.element(a, 'Sum Sq',,FALSE)
a<-table.element(a, 'Mean Sq',,FALSE)
a<-table.element(a, 'F value',,FALSE)
a<-table.element(a, 'Pr(>F)',,FALSE)
a<-table.row.end(a)
for(i in 1 : length(rownames(anova.xdf))-1){
a<-table.row.start(a)
a<-table.element(a,rownames(anova.xdf)[i] ,,TRUE)
a<-table.element(a, anova.xdf$Df[1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[i], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[i], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'F value'[i], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Pr(>F)'[i], 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$'Df'[i+1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[i+1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[i+1], digits=3),,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
bitmap(file='anovaplot.png')
boxplot(Response ~ Treatment_A + Treatment_B, data=xdf, xlab=V2, ylab=V1, main='Boxplots of ANOVA Groups')
dev.off()
bitmap(file='designplot.png')
xdf2 <- xdf # to preserve xdf make copy for function
names(xdf2) <- c(V1, V2, V3)
plot.design(xdf2, main='Design Plot of Group Means')
dev.off()
bitmap(file='interactionplot.png')
interaction.plot(xdf$Treatment_A, xdf$Treatment_B, xdf$Response, xlab=V2, ylab=V1, trace.label=V3, main='Possible Interactions Between Anova Groups')
dev.off()
if(intercept==TRUE){
thsd<-TukeyHSD(aov.xdf)
names(thsd) <- c(V2, V3, paste(V2, ':', V3, sep=''))
bitmap(file='TukeyHSDPlot.png')
layout(matrix(c(1,2,3,3), 2,2))
plot(thsd, las=1)
dev.off()
}
if(intercept==TRUE){
ntables<-length(names(thsd))
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(nt in 1:ntables){
for(i in 1:length(rownames(thsd[[nt]]))){
a<-table.row.start(a)
a<-table.element(a,rownames(thsd[[nt]])[i], 1, TRUE)
for(j in 1:4){
a<-table.element(a,round(thsd[[nt]][i,j], digits=3), 1, FALSE)
}
a<-table.row.end(a)
}
} # end nt
a<-table.end(a)
table.save(a,file='hsdtable.tab')
}#end if hsd tables
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')