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Description of Statistical Computation

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 computationThu, 25 Oct 2012 09:27:22 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Oct/25/t1351171683ffy1vfircl3csk8.htm/, Retrieved Sun, 28 Apr 2024 21:42:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=183639, Retrieved Sun, 28 Apr 2024 21:42:28 +0000
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User-defined keywords
Estimated Impact54

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-       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Question 7 lange ...] [2012-10-25 13:27:22] [ec11e18da977a3fdb62251c67aec28fe] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
'WWE'	0	0	0	0	0	0
'WWE'	0	0	0	0	0	0
'WWE'	0	1	1	1	1	2
'WWE'	0	0	0	0	0	0
'WWE'	0	1	1	1	1	2
'WWE'	0	0	1	0	1	1
'WWE'	0	0	0	0	0	0
'WWE'	0	1	1	1	1	2
'WWE'	0	0	0	0	0	0
'WWE'	0	0	0	0	0	0
'WWE'	0	0	0	0	0	0
'WWE'	0	0	0	0	0	0
'WWE'	0	0	0	0	0	0
'WWE'	0	0	NA	0	NA	NA
'WWE'	0	0	1	0	1	1
'WWE'	1	1	NA	0	NA	NA
'WWE'	1	0	0	-1	-1	-1
'WWE'	0	0	0	0	0	0
'WWE'	0	0	1	0	1	1
'WWE'	0	1	0	1	0	1
'WWE'	0	0	0	0	0	0
'WWE'	1	1	0	0	-1	0
'WWE'	0	0	0	0	0	0
'WWE'	0	1	0	1	0	1
'WWE'	0	1	1	1	1	2
'WWE'	0	1	1	1	1	2
'WWE'	0	0	0	0	0	0
'WWE'	1	1	0	0	-1	0
'WWE'	0	1	0	1	0	1
'WWE'	0	1	0	1	0	1
'WWE'	0	0	1	0	1	1
'WWE'	0	1	0	1	0	1
'WWE'	0	1	0	1	0	1
'WWE'	0	0	0	0	0	0
'WWE'	0	0	0	0	0	0
'WWE'	1	1	0	0	-1	0
'WWE'	1	1	0	0	-1	0
'WWE'	0	0	0	0	0	0
'WWE'	0	0	NA	0	NA	NA
'WWE'	0	0	1	0	1	1
'WWE'	0	0	0	0	0	0
'CSWE'	0.256097561	0.529268293	0.076923077	0.273170732	0.076923077	0
'CSWE'	0.261324042	0.535888502	0.043956044	0.27456446	0.043956044	NA
'CSWE'	0.266550523	0.542508711	0.010989011	0.275958188	0.010989011	0
'CSWE'	0.271777003	0.54912892	-0.021978022	0.277351916	-0.021978022	NA
'CSWE'	0.277003484	0.555749129	-0.054945055	0.278745645	-0.054945055	1
'CSWE'	0.282229965	0.562369338	-0.087912088	0.280139373	-0.087912088	0
'CSWE'	0.287456446	0.568989547	-0.120879121	0.281533101	-0.120879121	0
'CSWE'	0.292682927	0.575609756	-0.153846154	0.282926829	-0.153846154	1
'CSWE'	0.297909408	0.582229965	-0.186813187	0.284320557	-0.186813187	0
'CSWE'	0.303135889	0.588850174	-0.21978022	0.285714286	-0.21978022	0
'CSWE'	0.308362369	0.595470383	-0.252747253	0.287108014	-0.252747253	1
'CSWE'	0.31358885	0.602090592	-0.285714286	0.288501742	-0.285714286	1
'CSWE'	0.318815331	0.608710801	-0.318681319	0.28989547	-0.318681319	0
'CSWE'	0.324041812	0.61533101	NA	0.291289199	NA	NA
'CSWE'	0.329268293	0.62195122	1	0.292682927	1	1
'CSWE'	0.334494774	0.628571429	NA	0.294076655	NA	NA
'CSWE'	0.339721254	0.635191638	0.064935065	0.295470383	-0.194805195	0
'CSWE'	0.344947735	0.641811847	0.054771316	0.296864111	-0.207792208	1
'CSWE'	0.350174216	0.648432056	0.044607566	0.29825784	-0.220779221	NA
'CSWE'	0.355400697	0.655052265	0.034443817	0.299651568	-0.233766234	1
'CSWE'	0.360627178	0.661672474	0.024280068	0.301045296	-0.246753247	0
'CSWE'	0.365853659	0.668292683	0.014116318	0.302439024	-0.25974026	NA
'CSWE'	0.371080139	0.674912892	0.003952569	0.303832753	-0.272727273	0
'CSWE'	0.37630662	0.681533101	-0.00621118	0.305226481	-0.285714286	1
'CSWE'	0.381533101	0.68815331	-0.016374929	0.306620209	-0.298701299	0
'CSWE'	0.386759582	0.694773519	-0.026538679	0.308013937	-0.311688312	1
'CSWE'	0.391986063	0.701393728	-0.036702428	0.309407666	-0.324675325	1
'CSWE'	0.397212544	0.708013937	-0.046866177	0.310801394	-0.337662338	1
'CSWE'	0.402439024	0.714634146	-0.057029927	0.312195122	-0.350649351	0
'CSWE'	0.407665505	0.721254355	-0.067193676	0.31358885	-0.363636364	1
'CSWE'	0.412891986	0.727874564	-0.077357425	0.314982578	-0.376623377	2
'CSWE'	0.418118467	0.734494774	-0.087521174	0.316376307	-0.38961039	1
'CSWE'	0.423344948	0.741114983	-0.097684924	0.317770035	-0.402597403	NA
'CSWE'	0.428571429	0.747735192	-0.107848673	0.319163763	-0.415584416	0
'CSWE'	0.433797909	0.754355401	-0.118012422	0.320557491	-0.428571429	NA
'CSWE'	0.43902439	0.76097561	-0.128176172	0.32195122	-0.441558442	0
'CSWE'	0.444250871	0.767595819	-0.138339921	0.323344948	-0.454545455	0
'CSWE'	0.449477352	0.774216028	-0.14850367	0.324738676	-0.467532468	0
'CSWE'	0.454703833	0.780836237	NA	0.326132404	NA	1
'CSWE'	0.459930314	0.787456446	-1	0.327526132	-1	1
'C'	0.465156794	0.794076655	-2	0.328919861	-2	0
'C'	0.470383275	0.800696864	-0.351648352	0.330313589	-0.351648352	1
'C'	0.475609756	0.807317073	-0.384615385	0.331707317	-0.384615385	-1
'C'	0.480836237	0.813937282	-0.417582418	0.333101045	-0.417582418	1
'C'	0.486062718	0.820557491	-0.450549451	0.334494774	-0.450549451	NA
'C'	0.491289199	0.8271777	-0.483516484	0.335888502	-0.483516484	0
'C'	0.496515679	0.833797909	-0.516483516	0.33728223	-0.516483516	0
'C'	0.50174216	0.840418118	-0.549450549	0.338675958	-0.549450549	1
'C'	0.506968641	0.847038328	-0.582417582	0.340069686	-0.582417582	0
'C'	0.512195122	0.853658537	-0.615384615	0.341463415	-0.615384615	NA
'C'	0.517421603	0.860278746	-0.648351648	0.342857143	-0.648351648	0
'C'	0.522648084	0.866898955	-0.681318681	0.344250871	-0.681318681	1
'C'	0.527874564	0.873519164	-0.714285714	0.345644599	-0.714285714	1
'C'	0.533101045	0.880139373	-0.747252747	0.347038328	-0.747252747	0
'C'	0.538327526	0.886759582	NA	0.348432056	NA	0
'C'	0.543554007	0.893379791	1	0.349825784	1	0
'C'	0.548780488	0.9	NA	0.351219512	NA	0
'C'	0.554006969	0.906620209	-0.15866742	0.35261324	-0.480519481	NA
'C'	0.559233449	0.913240418	-0.168831169	0.354006969	-0.493506494	0
'C'	0.56445993	0.919860627	-0.178994918	0.355400697	-0.506493506	1
'C'	0.569686411	0.926480836	-0.189158667	0.356794425	-0.519480519	0
'C'	0.574912892	0.933101045	-0.199322417	0.358188153	-0.532467532	1
'C'	0.580139373	0.939721254	-0.209486166	0.359581882	-0.545454545	0
'C'	0.585365854	0.946341463	-0.219649915	0.36097561	-0.558441558	0
'C'	0.590592334	0.952961672	-0.229813665	0.362369338	-0.571428571	0
'C'	0.595818815	0.959581882	-0.239977414	0.363763066	-0.584415584	0
'C'	0.601045296	0.966202091	-0.250141163	0.365156794	-0.597402597	0
'C'	0.606271777	0.9728223	-0.260304912	0.366550523	-0.61038961	0
'C'	0.611498258	0.979442509	-0.270468662	0.367944251	-0.623376623	0
'C'	0.616724739	0.986062718	-0.280632411	0.369337979	-0.636363636	0
'C'	0.62195122	0.992682927	-0.29079616	0.370731707	-0.649350649	0
'C'	0.6271777	0.999303136	-0.30095991	0.372125436	-0.662337662	1
'C'	0.632404181	1.005923345	-0.311123659	0.373519164	-0.675324675	0
'C'	0.637630662	1.012543554	-0.321287408	0.374912892	-0.688311688	0
'C'	0.642857143	1.019163763	-0.331451158	0.37630662	-0.701298701	0
'C'	0.648083624	1.025783972	-0.341614907	0.377700348	-0.714285714	1
'C'	0.653310105	1.032404181	-0.351778656	0.379094077	-0.727272727	0
'C'	0.658536585	1.03902439	-0.361942405	0.380487805	-0.74025974	NA
'C'	0.663763066	1.045644599	-0.372106155	0.381881533	-0.753246753	0

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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=183639&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=183639&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=183639&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'Gertrude Mary Cox' @ cox.wessa.net






ANOVA Model
post2-pre ~ treat
means-0.5870.3470.718

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
post2-pre  ~  treat \tabularnewline
means & -0.587 & 0.347 & 0.718 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=183639&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]post2-pre  ~  treat[/C][/ROW]
[ROW][C]means[/C][C]-0.587[/C][C]0.347[/C][C]0.718[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=183639&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=183639&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
post2-pre ~ treat
means-0.5870.3470.718






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
treat29.6834.84223.910
Residuals10922.0720.202 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
treat & 2 & 9.683 & 4.842 & 23.91 & 0 \tabularnewline
Residuals & 109 & 22.072 & 0.202 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=183639&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]treat[/C][C]2[/C][C]9.683[/C][C]4.842[/C][C]23.91[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]109[/C][C]22.072[/C][C]0.202[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=183639&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=183639&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)
treat29.6834.84223.910
Residuals10922.0720.202






Tukey Honest Significant Difference Comparisons
difflwruprp adj
CSWE-C0.3470.0990.5960.003
WWE-C0.7180.4710.9650
WWE-CSWE0.3710.1240.6180.002

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
CSWE-C & 0.347 & 0.099 & 0.596 & 0.003 \tabularnewline
WWE-C & 0.718 & 0.471 & 0.965 & 0 \tabularnewline
WWE-CSWE & 0.371 & 0.124 & 0.618 & 0.002 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=183639&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]CSWE-C[/C][C]0.347[/C][C]0.099[/C][C]0.596[/C][C]0.003[/C][/ROW]
[ROW][C]WWE-C[/C][C]0.718[/C][C]0.471[/C][C]0.965[/C][C]0[/C][/ROW]
[ROW][C]WWE-CSWE[/C][C]0.371[/C][C]0.124[/C][C]0.618[/C][C]0.002[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=183639&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=183639&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
CSWE-C0.3470.0990.5960.003
WWE-C0.7180.4710.9650
WWE-CSWE0.3710.1240.6180.002






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group24.9740.009
109 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 4.974 & 0.009 \tabularnewline
  & 109 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=183639&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]4.974[/C][C]0.009[/C][/ROW]
[ROW][C] [/C][C]109[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=183639&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=183639&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)
Group24.9740.009
109


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 6 ; par2 = 1 ; par3 = TRUE ;
Parameters (R input):
par1 = 6 ; par2 = 1 ; 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')