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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, 16 Dec 2015 15:42:05 +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/16/t1450280602pkudy9zd0zx97mf.htm/, Retrieved Sat, 18 May 2024 08:54:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=286719, Retrieved Sat, 18 May 2024 08:54:48 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact75
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)] [dddd] [2015-12-16 15:42:05] [1e67203134127d491eaf7d256835640d] [Current]
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Dataseries X:
242961	1
273849	1
273528	1
245372	1
217615	1
208888	1
187797	1
167503	1
161264	1
177969	1
199128	2
237538	2
257043	3
259605	3
255538	3
249583	3
237399	3
224687	3
208658	3
210871	3
228047	3
253089	3
271250	3
279551	3
278778	3
253214	3
242542	4
281133	5
290200	4
277630	6
289492	6
306752	6
315256	7




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286719&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286719&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286719&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'Herman Ole Andreas Wold' @ wold.wessa.net







ANOVA Model
mannen ~ premier
means215674.62658.431990.61450696.465458.475616.73399581.4

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
mannen  ~  premier \tabularnewline
means & 215674.6 & 2658.4 & 31990.614 & 50696.4 & 65458.4 & 75616.733 & 99581.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286719&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]mannen  ~  premier[/C][/ROW]
[ROW][C]means[/C][C]215674.6[/C][C]2658.4[/C][C]31990.614[/C][C]50696.4[/C][C]65458.4[/C][C]75616.733[/C][C]99581.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286719&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286719&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
mannen ~ premier
means215674.62658.431990.61450696.465458.475616.73399581.4







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
premier623691387420.7583948564570.1264.110.005
Residuals2624980642809.424960793954.209

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
premier & 6 & 23691387420.758 & 3948564570.126 & 4.11 & 0.005 \tabularnewline
Residuals & 26 & 24980642809.424 & 960793954.209 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286719&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]premier[/C][C]6[/C][C]23691387420.758[/C][C]3948564570.126[/C][C]4.11[/C][C]0.005[/C][/ROW]
[ROW][C]Residuals[/C][C]26[/C][C]24980642809.424[/C][C]960793954.209[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286719&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286719&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)
premier623691387420.7583948564570.1264.110.005
Residuals2624980642809.424960793954.209







Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-12658.4-73935.52279252.3221
3-131990.614-8950.55972931.7880.203
4-150696.4-25897.522127290.3220.376
5-165458.4-38250.26169167.060.43
6-175616.73310524.416140709.050.015
7-199581.4-4127.26203290.060.066
3-229332.214-45415.8104080.2280.867
4-248038-50844.328146920.3280.713
5-262800-58305.624183905.6240.65
6-272958.333-17308.469163225.1360.174
7-296923-24182.624218028.6240.182
4-318705.786-56042.22893453.80.983
5-333467.786-68885.148135820.7190.939
6-343626.119-19283.709106535.9470.323
7-367590.786-34762.148169943.7190.378
5-414762-106343.624135867.6241
6-424920.333-65346.469115187.1360.972
7-448885-72220.624169990.6240.851
6-510158.333-104021.144124337.8111
7-534123-105717.729173963.7290.985
7-623964.667-90214.811138144.1440.993

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & 2658.4 & -73935.522 & 79252.322 & 1 \tabularnewline
3-1 & 31990.614 & -8950.559 & 72931.788 & 0.203 \tabularnewline
4-1 & 50696.4 & -25897.522 & 127290.322 & 0.376 \tabularnewline
5-1 & 65458.4 & -38250.26 & 169167.06 & 0.43 \tabularnewline
6-1 & 75616.733 & 10524.416 & 140709.05 & 0.015 \tabularnewline
7-1 & 99581.4 & -4127.26 & 203290.06 & 0.066 \tabularnewline
3-2 & 29332.214 & -45415.8 & 104080.228 & 0.867 \tabularnewline
4-2 & 48038 & -50844.328 & 146920.328 & 0.713 \tabularnewline
5-2 & 62800 & -58305.624 & 183905.624 & 0.65 \tabularnewline
6-2 & 72958.333 & -17308.469 & 163225.136 & 0.174 \tabularnewline
7-2 & 96923 & -24182.624 & 218028.624 & 0.182 \tabularnewline
4-3 & 18705.786 & -56042.228 & 93453.8 & 0.983 \tabularnewline
5-3 & 33467.786 & -68885.148 & 135820.719 & 0.939 \tabularnewline
6-3 & 43626.119 & -19283.709 & 106535.947 & 0.323 \tabularnewline
7-3 & 67590.786 & -34762.148 & 169943.719 & 0.378 \tabularnewline
5-4 & 14762 & -106343.624 & 135867.624 & 1 \tabularnewline
6-4 & 24920.333 & -65346.469 & 115187.136 & 0.972 \tabularnewline
7-4 & 48885 & -72220.624 & 169990.624 & 0.851 \tabularnewline
6-5 & 10158.333 & -104021.144 & 124337.811 & 1 \tabularnewline
7-5 & 34123 & -105717.729 & 173963.729 & 0.985 \tabularnewline
7-6 & 23964.667 & -90214.811 & 138144.144 & 0.993 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286719&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]2-1[/C][C]2658.4[/C][C]-73935.522[/C][C]79252.322[/C][C]1[/C][/ROW]
[ROW][C]3-1[/C][C]31990.614[/C][C]-8950.559[/C][C]72931.788[/C][C]0.203[/C][/ROW]
[ROW][C]4-1[/C][C]50696.4[/C][C]-25897.522[/C][C]127290.322[/C][C]0.376[/C][/ROW]
[ROW][C]5-1[/C][C]65458.4[/C][C]-38250.26[/C][C]169167.06[/C][C]0.43[/C][/ROW]
[ROW][C]6-1[/C][C]75616.733[/C][C]10524.416[/C][C]140709.05[/C][C]0.015[/C][/ROW]
[ROW][C]7-1[/C][C]99581.4[/C][C]-4127.26[/C][C]203290.06[/C][C]0.066[/C][/ROW]
[ROW][C]3-2[/C][C]29332.214[/C][C]-45415.8[/C][C]104080.228[/C][C]0.867[/C][/ROW]
[ROW][C]4-2[/C][C]48038[/C][C]-50844.328[/C][C]146920.328[/C][C]0.713[/C][/ROW]
[ROW][C]5-2[/C][C]62800[/C][C]-58305.624[/C][C]183905.624[/C][C]0.65[/C][/ROW]
[ROW][C]6-2[/C][C]72958.333[/C][C]-17308.469[/C][C]163225.136[/C][C]0.174[/C][/ROW]
[ROW][C]7-2[/C][C]96923[/C][C]-24182.624[/C][C]218028.624[/C][C]0.182[/C][/ROW]
[ROW][C]4-3[/C][C]18705.786[/C][C]-56042.228[/C][C]93453.8[/C][C]0.983[/C][/ROW]
[ROW][C]5-3[/C][C]33467.786[/C][C]-68885.148[/C][C]135820.719[/C][C]0.939[/C][/ROW]
[ROW][C]6-3[/C][C]43626.119[/C][C]-19283.709[/C][C]106535.947[/C][C]0.323[/C][/ROW]
[ROW][C]7-3[/C][C]67590.786[/C][C]-34762.148[/C][C]169943.719[/C][C]0.378[/C][/ROW]
[ROW][C]5-4[/C][C]14762[/C][C]-106343.624[/C][C]135867.624[/C][C]1[/C][/ROW]
[ROW][C]6-4[/C][C]24920.333[/C][C]-65346.469[/C][C]115187.136[/C][C]0.972[/C][/ROW]
[ROW][C]7-4[/C][C]48885[/C][C]-72220.624[/C][C]169990.624[/C][C]0.851[/C][/ROW]
[ROW][C]6-5[/C][C]10158.333[/C][C]-104021.144[/C][C]124337.811[/C][C]1[/C][/ROW]
[ROW][C]7-5[/C][C]34123[/C][C]-105717.729[/C][C]173963.729[/C][C]0.985[/C][/ROW]
[ROW][C]7-6[/C][C]23964.667[/C][C]-90214.811[/C][C]138144.144[/C][C]0.993[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286719&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286719&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
2-12658.4-73935.52279252.3221
3-131990.614-8950.55972931.7880.203
4-150696.4-25897.522127290.3220.376
5-165458.4-38250.26169167.060.43
6-175616.73310524.416140709.050.015
7-199581.4-4127.26203290.060.066
3-229332.214-45415.8104080.2280.867
4-248038-50844.328146920.3280.713
5-262800-58305.624183905.6240.65
6-272958.333-17308.469163225.1360.174
7-296923-24182.624218028.6240.182
4-318705.786-56042.22893453.80.983
5-333467.786-68885.148135820.7190.939
6-343626.119-19283.709106535.9470.323
7-367590.786-34762.148169943.7190.378
5-414762-106343.624135867.6241
6-424920.333-65346.469115187.1360.972
7-448885-72220.624169990.6240.851
6-510158.333-104021.144124337.8111
7-534123-105717.729173963.7290.985
7-623964.667-90214.811138144.1440.993







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group62.1620.08
26

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 6 & 2.162 & 0.08 \tabularnewline
  & 26 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286719&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]6[/C][C]2.162[/C][C]0.08[/C][/ROW]
[ROW][C] [/C][C]26[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286719&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286719&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)
Group62.1620.08
26



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 <- '1'
par1 <- '2'
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')