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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, 27 May 2012 08:57:52 -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/May/27/t1338123504k396u8ab0fjyih0.htm/, Retrieved Wed, 08 May 2024 04:20:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=167710, Retrieved Wed, 08 May 2024 04:20:03 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact150

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Simple Linear Regression] [Triglyceridge Reg...] [2011-07-07 15:11:49] [74be16979710d4c4e7c6647856088456]
- RMPD  [Histogram, QQplot and Density] [Recorded weight] [2012-05-27 12:16:35] [8be39d68cf3e859c626e6f1d2306767c]
- R  D    [Histogram, QQplot and Density] [Recorded height] [2012-05-27 12:18:06] [8be39d68cf3e859c626e6f1d2306767c]
-    D      [Histogram, QQplot and Density] [Reported weight] [2012-05-27 12:19:27] [8be39d68cf3e859c626e6f1d2306767c]
-    D        [Histogram, QQplot and Density] [Repoted height] [2012-05-27 12:20:44] [8be39d68cf3e859c626e6f1d2306767c]
-    D          [Histogram, QQplot and Density] [Difference in weight] [2012-05-27 12:22:33] [8be39d68cf3e859c626e6f1d2306767c]
- RM D              [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [ANOVA for all dif...] [2012-05-27 12:57:52] [ba39d87c5b07fdeb99ead4bedf199d9b] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1	-2
1	0
1	0
1	0
1	2
1	0
1	0
1	4
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1	0
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1	1
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1	1
1	1
1	0
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1	1
1	0
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1	-5
1	1
1	0
1	0
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1	2
1	0
1	0
1	0
1	-1
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4	2
4	1
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4	4
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4	0
4	3
4	2

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167710&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167710&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167710&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 time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






ANOVA Model
Diff ~ Condition
means0.52-1.1061.8571.236

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Diff  ~  Condition \tabularnewline
means & 0.52 & -1.106 & 1.857 & 1.236 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167710&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Diff  ~  Condition[/C][/ROW]
[ROW][C]means[/C][C]0.52[/C][C]-1.106[/C][C]1.857[/C][C]1.236[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167710&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167710&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
Diff ~ Condition
means0.52-1.1061.8571.236






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Condition3460.375153.45832.940
Residuals3561658.5144.659 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Condition & 3 & 460.375 & 153.458 & 32.94 & 0 \tabularnewline
Residuals & 356 & 1658.514 & 4.659 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167710&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]Condition[/C][C]3[/C][C]460.375[/C][C]153.458[/C][C]32.94[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]356[/C][C]1658.514[/C][C]4.659[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167710&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167710&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)
Condition3460.375153.45832.940
Residuals3561658.5144.659






Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-1-1.106-1.94-0.2720.004
3-11.8571.0612.6530
4-11.2360.4022.070.001
3-22.9632.1293.7970
4-22.3411.4713.2120
4-3-0.621-1.4550.2120.22

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & -1.106 & -1.94 & -0.272 & 0.004 \tabularnewline
3-1 & 1.857 & 1.061 & 2.653 & 0 \tabularnewline
4-1 & 1.236 & 0.402 & 2.07 & 0.001 \tabularnewline
3-2 & 2.963 & 2.129 & 3.797 & 0 \tabularnewline
4-2 & 2.341 & 1.471 & 3.212 & 0 \tabularnewline
4-3 & -0.621 & -1.455 & 0.212 & 0.22 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167710&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]-1.106[/C][C]-1.94[/C][C]-0.272[/C][C]0.004[/C][/ROW]
[ROW][C]3-1[/C][C]1.857[/C][C]1.061[/C][C]2.653[/C][C]0[/C][/ROW]
[ROW][C]4-1[/C][C]1.236[/C][C]0.402[/C][C]2.07[/C][C]0.001[/C][/ROW]
[ROW][C]3-2[/C][C]2.963[/C][C]2.129[/C][C]3.797[/C][C]0[/C][/ROW]
[ROW][C]4-2[/C][C]2.341[/C][C]1.471[/C][C]3.212[/C][C]0[/C][/ROW]
[ROW][C]4-3[/C][C]-0.621[/C][C]-1.455[/C][C]0.212[/C][C]0.22[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167710&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167710&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
2-1-1.106-1.94-0.2720.004
3-11.8571.0612.6530
4-11.2360.4022.070.001
3-22.9632.1293.7970
4-22.3411.4713.2120
4-3-0.621-1.4550.2120.22






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group32.5070.059
356 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 3 & 2.507 & 0.059 \tabularnewline
  & 356 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=167710&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]3[/C][C]2.507[/C][C]0.059[/C][/ROW]
[ROW][C] [/C][C]356[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=167710&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=167710&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)
Group32.5070.059
356


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
par1 = 2 ; 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){
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<-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')