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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 computationSun, 14 Dec 2014 16:00:43 +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/2014/Dec/14/t1418572883ytwxnnhpj4apfx0.htm/, Retrieved Thu, 16 May 2024 07:05:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267717, Retrieved Thu, 16 May 2024 07:05:24 +0000
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User-defined keywords
Estimated Impact90

Tree of Dependent Computations

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2011 26 50 4
2011 51 68 9
2011 57 62 4
2011 37 54 5
2011 67 71 4
2011 43 54 4
2011 52 65 9
2011 52 73 8
2011 43 52 11
2011 84 84 4
2011 67 42 4
2011 49 66 6
2011 70 65 4
2011 52 78 8
2011 58 73 4
2011 68 75 4
2011 62 72 11
2011 43 66 4
2011 56 70 4
2011 56 61 6
2011 74 81 6
2011 63 69 8
2011 58 71 5
2011 57 72 4
2011 63 68 9
2011 53 70 4
2011 57 68 7
2011 51 61 10
2011 64 67 4
2011 53 76 4
2011 29 70 7
2011 54 60 12
2011 58 72 7
2011 43 69 5
2011 51 71 8
2011 53 62 5
2011 54 70 4
2011 56 64 9
2011 61 58 7
2011 47 76 4
2011 39 52 4
2011 48 59 4
2011 50 68 4
2011 35 76 4
2011 30 65 7
2011 68 67 4
2011 49 59 7
2011 61 69 4
2011 67 76 4
2011 47 63 4
2011 56 75 4
2011 50 63 8
2011 43 60 4
2011 67 73 4
2011 62 63 4
2011 57 70 4
2011 41 75 7
2011 54 66 12
2011 45 63 4
2011 48 63 4
2011 61 64 4
2011 56 70 5
2011 41 75 15
2011 43 61 5
2011 53 60 10
2011 44 62 9
2011 66 73 8
2011 58 61 4
2011 46 66 5
2011 37 64 4
2011 51 59 9
2011 51 64 4
2011 56 60 10
2011 66 56 4
2011 45 66 7
2011 37 78 4
2011 59 53 6
2011 42 67 7
2011 38 59 5
2011 66 66 4
2011 34 68 4
2011 53 71 4
2011 49 66 4
2011 55 73 4
2011 49 72 4
2011 59 71 6
2011 40 59 10
2011 58 64 7
2011 60 66 4
2011 63 78 4
2011 56 68 7
2011 54 73 4
2011 52 62 8
2011 34 65 11
2011 69 68 6
2011 32 65 14
2011 48 60 5
2011 67 71 4
2011 58 65 8
2011 57 68 9
2011 42 64 4
2011 64 74 4
2011 58 69 5
2011 66 76 4
2011 26 68 5
2011 61 72 4
2011 52 67 4
2011 51 63 7
2011 55 59 10
2011 50 73 4
2011 60 66 5
2011 56 62 4
2011 63 69 4
2011 61 66 4
2012 52 51 6
2012 16 56 4
2012 46 67 8
2012 56 69 5
2012 52 57 4
2012 55 56 17
2012 50 55 4
2012 59 63 4
2012 60 67 8
2012 52 65 4
2012 44 47 7
2012 67 76 4
2012 52 64 4
2012 55 68 5
2012 37 64 7
2012 54 65 4
2012 72 71 4
2012 51 63 7
2012 48 60 11
2012 60 68 7
2012 50 72 4
2012 63 70 4
2012 33 61 4
2012 67 61 4
2012 46 62 4
2012 54 71 4
2012 59 71 6
2012 61 51 8
2012 33 56 23
2012 47 70 4
2012 69 73 8
2012 52 76 6
2012 55 59 4
2012 55 68 4
2012 41 48 7
2012 73 52 4
2012 51 59 4
2012 52 60 4
2012 50 59 4
2012 51 57 10
2012 60 79 6
2012 56 60 5
2012 56 60 5
2012 29 59 4
2012 66 62 4
2012 66 59 5
2012 73 61 5
2012 55 71 5
2012 64 57 5
2012 40 66 4
2012 46 63 6
2012 58 69 4
2012 43 58 4
2012 61 59 4
2012 51 48 9
2012 50 66 18
2012 52 73 6
2012 54 67 5
2012 66 61 4
2012 61 68 11
2012 80 75 4
2012 51 62 10
2012 56 69 6
2012 56 58 8
2012 56 60 8
2012 53 74 6
2012 47 55 8
2012 25 62 4
2012 47 63 4
2012 46 69 9
2012 50 58 9
2012 39 58 5
2012 51 68 4
2012 58 72 4
2012 35 62 15
2012 58 62 10
2012 60 65 9
2012 62 69 7
2012 63 66 9
2012 53 72 6
2012 46 62 4
2012 67 75 7
2012 59 58 4
2012 64 66 7
2012 38 55 4
2012 50 47 15
2012 48 72 4
2012 48 62 9
2012 47 64 4
2012 66 64 4
2012 47 19 28
2012 63 50 4
2012 58 68 4
2012 44 70 4
2012 51 79 5
2012 43 69 4
2012 55 71 4
2012 38 48 12
2012 56 66 5
2012 45 73 4
2012 50 74 6
2012 54 66 6
2012 57 71 5
2012 60 74 4
2012 55 78 4
2012 56 75 4
2012 49 53 10
2012 37 60 7
2012 43 50 4
2012 59 70 4
2012 46 69 7
2012 51 65 4
2012 58 78 4
2012 64 78 12
2012 53 59 5
2012 48 72 8
2012 51 70 6
2012 47 63 17
2012 59 63 4
2012 62 71 5
2012 62 74 4
2012 51 67 5
2012 64 66 5
2012 52 62 6
2012 67 80 4
2012 50 73 4
2012 54 67 4
2012 58 61 6
2012 56 73 8
2012 63 74 10
2012 31 32 4
2012 65 69 5
2012 71 69 4
2012 50 84 4
2012 57 64 4
2012 47 58 16
2012 54 60 4
2012 47 59 7
2012 57 78 4
2012 43 57 4
2012 41 60 14
2012 63 68 5
2012 63 68 5
2012 56 73 5
2012 51 69 5
2012 50 67 7
2012 22 60 19
2012 41 65 16
2012 59 66 4
2012 56 74 4
2012 66 81 7
2012 53 72 9
2012 42 55 5
2012 52 49 14
2012 54 74 4
2012 44 53 16
2012 62 64 10
2012 53 65 5
2012 50 57 6
2012 36 51 4
2012 76 80 4
2012 66 67 4
2012 62 70 5
2012 59 74 4
2012 47 75 4
2012 55 70 5
2012 58 69 4
2012 60 65 4
2012 44 55 5
2012 57 71 8
2012 45 65 15
2014 58 69 7
2014 51 48 5
2014 57 69 8
2014 30 68 8
2014 46 74 5
2014 51 67 4
2014 56 65 4
2014 58 63 11
2014 44 74 5
2014 14 39 22
2014 53 68 4
2014 42 69 4
2014 49 68 4
2014 44 63 5
2014 62 67 4
2014 30 70 16
2014 46 68 5
2014 56 66 4
2014 50 70 6
2014 54 78 5
2014 48 59 4
2014 55 62 4
2014 35 75 4
2014 55 74 7
2014 41 73 4
2014 59 62 8
2014 54 69 7
2014 66 65 4
2014 55 67 6
2014 45 73 5
2014 51 52 8
2014 47 61 8
2014 42 53 4
2014 53 63 7
2014 53 78 4
2014 41 65 13
2014 55 77 4
2014 55 69 4
2014 46 68 4
2014 63 76 4
2014 43 63 7
2014 65 41 5
2014 59 76 4
2014 39 67 5
2014 44 69 12
2014 60 59 8
2014 57 73 4
2014 67 72 4
2014 52 52 8
2014 52 65 5
2014 69 63 4
2014 46 78 4
2014 46 56 7
2014 53 68 5
2014 40 56 13
2014 70 64 4
2014 54 68 4
2014 77 75 4
2014 45 67 6
2014 60 55 4
2014 47 73 4
2014 50 66 4
2014 66 75 4
2014 60 77 4
2014 41 65 5
2014 53 75 6
2014 34 57 4
2014 51 61 4
2014 69 71 4
2014 60 72 6
2014 45 62 9
2014 58 66 5
2014 39 66 6
2014 51 63 13
2014 52 60 4
2014 49 64 7
2014 63 74 5
2014 44 59 4
2014 51 71 4
2014 52 69 4
2014 60 63 6
2014 53 73 6
2014 53 55 8
2014 52 77 6
2014 31 70 5
2014 51 64 9
2014 65 78 6
2014 51 60 4
2014 49 66 9
2014 61 77 4
2014 58 68 4
2014 62 78 4
2014 54 68 5
2014 52 60 4
2014 72 65 4
2014 50 64 4
2014 65 69 5
2014 53 72 5
2014 56 50 8
2014 63 72 4
2014 62 71 4
2014 66 80 9
2014 50 74 4
2014 45 64 4
2014 58 69 4
2014 52 76 4
2014 53 75 4
2014 68 79 4
2014 59 73 4
2014 58 60 4
2014 52 76 4
2014 45 55 4
2014 58 53 4
2014 70 62 4
2014 69 69 4
2014 71 78 5
2014 46 68 8
2014 58 67 7
2014 39 75 4
2014 46 59 4
2014 64 73 4
2014 67 70 5
2014 44 59 5
2014 54 64 6
2014 41 63 12
2014 68 67 5
2014 63 58 9
2014 57 71 12
2014 61 79 4
2014 39 53 16
2014 69 76 4
2014 64 66 5
2014 38 64 4
2014 59 57 4
2014 51 67 6
2014 59 72 4
2014 51 58 4
2014 65 74 5
2014 47 57 6
2014 50 62 5
2014 57 74 6
2014 21 54 4
2014 47 62 4
2014 51 66 7
2014 37 64 9
2014 67 74 5
2014 43 71 5
2014 58 66 4
2014 51 66 4
2014 40 63 12
2014 41 65 4
2014 58 70 6
2014 64 66 9
2014 64 66 4
2014 58 78 5
2014 50 77 4
2014 59 72 4
2014 55 65 4
2014 59 67 4
2014 58 72 4
2014 41 58 11
2014 56 84 4
2014 63 67 6
2014 77 84 4
2014 60 58 5
2014 58 63 4
2014 64 75 4
2014 47 55 6
2014 46 72 4
2014 62 58 7
2014 60 69 9
2014 50 54 5
2014 46 58 14
2014 44 67 4
2014 58 77 4
2014 56 80 4
2014 43 67 5
2014 54 75 4
2014 54 71 4
2014 56 72 9
2014 65 75 4
2014 66 79 4
2014 62 76 10
2014 58 72 4
2014 67 81 4
2014 25 52 6
2014 56 76 4
2014 53 60 9
2014 56 72 5
2014 59 77 4
2014 46 64 5
2014 49 67 14
2014 56 72 9
2014 76 79 4
2014 33 40 4
2014 49 71 17
2014 53 73 4
2014 58 75 5
2014 72 70 9
2014 51 66 7
2014 42 66 4
2014 69 73 5
2014 51 74 7
2014 54 58 10
2014 52 51 5
2014 59 75 4
2014 51 70 8
2014 67 50 4
2014 64 64 4
2014 58 77 6
2014 53 71 5

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 Maurice George Kendall' @ kendall.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 Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267717&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 Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267717&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267717&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 Maurice George Kendall' @ kendall.wessa.net






ANOVA Model
AMS.I ~ Year
means52.95653.1453.616

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
AMS.I  ~  Year \tabularnewline
means & 52.956 & 53.14 & 53.616 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267717&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]AMS.I  ~  Year[/C][/ROW]
[ROW][C]means[/C][C]52.956[/C][C]53.14[/C][C]53.616[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267717&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267717&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
AMS.I ~ Year
means52.95653.1453.616






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Year31409141.683469713.8944571.6440
Residuals49350653.317102.745 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Year & 3 & 1409141.683 & 469713.894 & 4571.644 & 0 \tabularnewline
Residuals & 493 & 50653.317 & 102.745 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267717&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]Year[/C][C]3[/C][C]1409141.683[/C][C]469713.894[/C][C]4571.644[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]493[/C][C]50653.317[/C][C]102.745[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267717&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267717&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)
Year31409141.683469713.8944571.6440
Residuals49350653.317102.745






Must Include Intercept to use Tukey Test 

\begin{tabular}{lllllllll}
\hline
Must Include Intercept to use Tukey Test  \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267717&T=3

[TABLE]
[ROW][C]Must Include Intercept to use Tukey Test [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267717&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267717&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:

Must Include Intercept to use Tukey Test






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group20.50.607
493 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 0.5 & 0.607 \tabularnewline
  & 493 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267717&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]0.5[/C][C]0.607[/C][/ROW]
[ROW][C] [/C][C]493[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267717&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267717&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)
Group20.50.607
493


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
par1 = 2 ; par2 = 1 ; par3 = FALSE ;
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')