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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, 07 Dec 2015 15:00:39 +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/2015/Dec/07/t1449500462sdkar88u2mljfrc.htm/, Retrieved Thu, 16 May 2024 18:23:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285409, Retrieved Thu, 16 May 2024 18:23:00 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact119
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Two-Way ANOVA] [Paper Gegevens ( ...] [2015-12-04 11:14:57] [59f280bd9c80f491994d861bbae3b2d1]
- RMPD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2015-12-07 15:00:39] [63a9f0ea7bb98050796b649e85481845] [Current]
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Dataseries X:
13.8	'L1'	'ACSFarm'
15	'L2'	'ACSFarm'
16.8	'L3'	'ACSFarm'
14	'L4'	'ACSFarm'
23.4	'L5'	'ACSFarm'
23.8	'L6'	'ACSFarm'
14.7	'L7'	'ACSFarm'
14.8	'L8'	'ACSFarm'
17.8	'L9'	'ACSFarm'
14.5	'L10'	'ACSFarm'
8.3	'L1'	'AeroFlo'
8.3	'L2'	'AeroFlo'
8.5	'L3'	'AeroFlo'
13.4	'L4'	'AeroFlo'
9.7	'L5'	'AeroFlo'
14	'L6'	'AeroFlo'
9.8	'L7'	'AeroFlo'
12.8	'L8'	'AeroFlo'
12.4	'L9'	'AeroFlo'
14.6	'L10'	'AeroFlo'
19.4	'L1'	'Soil(Control)'
15.2	'L2'	'Soil(Control)'
16.7	'L3'	'Soil(Control)'
17.6	'L4'	'Soil(Control)'
15.4	'L5'	'Soil(Control)'
23.8	'L6'	'Soil(Control)'
16.2	'L7'	'Soil(Control)'
15.6	'L8'	'Soil(Control)'
15.2	'L9'	'Soil(Control)'
12.3	'L10'	'Soil(Control)'




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'George Udny Yule' @ yule.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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285409&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285409&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285409&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 time4 seconds
R Server'George Udny Yule' @ yule.wessa.net







ANOVA Model
L ~ S
means16.86-5.68-0.12

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
L  ~  S \tabularnewline
means & 16.86 & -5.68 & -0.12 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285409&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]L  ~  S[/C][/ROW]
[ROW][C]means[/C][C]16.86[/C][C]-5.68[/C][C]-0.12[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285409&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285409&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
L ~ S
means16.86-5.68-0.12







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
S2210.635105.31710.5570
Residuals27269.3649.976

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
S & 2 & 210.635 & 105.317 & 10.557 & 0 \tabularnewline
Residuals & 27 & 269.364 & 9.976 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285409&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]S[/C][C]2[/C][C]210.635[/C][C]105.317[/C][C]10.557[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]27[/C][C]269.364[/C][C]9.976[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285409&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285409&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)
S2210.635105.31710.5570
Residuals27269.3649.976







Tukey Honest Significant Difference Comparisons
difflwruprp adj
AeroFlo-ACSFarm-5.68-9.182-2.1780.001
Soil(Control)-ACSFarm-0.12-3.6223.3820.996
Soil(Control)-AeroFlo5.562.0589.0620.001

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
AeroFlo-ACSFarm & -5.68 & -9.182 & -2.178 & 0.001 \tabularnewline
Soil(Control)-ACSFarm & -0.12 & -3.622 & 3.382 & 0.996 \tabularnewline
Soil(Control)-AeroFlo & 5.56 & 2.058 & 9.062 & 0.001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285409&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]AeroFlo-ACSFarm[/C][C]-5.68[/C][C]-9.182[/C][C]-2.178[/C][C]0.001[/C][/ROW]
[ROW][C]Soil(Control)-ACSFarm[/C][C]-0.12[/C][C]-3.622[/C][C]3.382[/C][C]0.996[/C][/ROW]
[ROW][C]Soil(Control)-AeroFlo[/C][C]5.56[/C][C]2.058[/C][C]9.062[/C][C]0.001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285409&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285409&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
AeroFlo-ACSFarm-5.68-9.182-2.1780.001
Soil(Control)-ACSFarm-0.12-3.6223.3820.996
Soil(Control)-AeroFlo5.562.0589.0620.001







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group20.1050.901
27

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 0.105 & 0.901 \tabularnewline
  & 27 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285409&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]2[/C][C]0.105[/C][C]0.901[/C][/ROW]
[ROW][C] [/C][C]27[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285409&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285409&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)
Group20.1050.901
27



Parameters (Session):
par1 = pearson ;
Parameters (R input):
par1 = 1 ; par2 = 3 ; 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')