Free Statistics

of Irreproducible Research!

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, 19 Dec 2011 08:49:39 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/19/t1324302722vwh9aq5uye4j82f.htm/, Retrieved Wed, 15 May 2024 18:21:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=157367, Retrieved Wed, 15 May 2024 18:21:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact77
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)] [1-way anova] [2011-12-19 13:49:39] [050dc696fa22882d0c3b1ebe5a70a85e] [Current]
Feedback Forum

Post a new message
Dataseries X:
0	1	2	0
'WWE'	0	0
'WWE'	0	0
'WWE'	0	1
'WWE'	0	0
'WWE'	0	1
'WWE'	0	0
'WWE'	0	0
'WWE'	0	1
'WWE'	0	0
'WWE'	0	0
'WWE'	0	0
'WWE'	0	0
'WWE'	0	0
'WWE'	0	0
'WWE'	0	0
'WWE'	1	1
'WWE'	1	0
'WWE'	0	0
'WWE'	0	0
'WWE'	0	1
'WWE'	0	0
'WWE'	1	1
'WWE'	0	0
'WWE'	0	1
'WWE'	0	1
'WWE'	0	1
'WWE'	0	0
'WWE'	1	1
'WWE'	0	1
'WWE'	0	1
'WWE'	0	0
'WWE'	0	1
'WWE'	0	1
'WWE'	0	0
'WWE'	0	0
'WWE'	1	1
'WWE'	1	1
'WWE'	0	0
'WWE'	0	0
'WWE'	0	0
'WWE'	0	0
'CSWE'	0	0
'CSWE'	1	0
'CSWE'	0	0
'CSWE'	0	1
'CSWE'	0	1
'CSWE'	0	0
'CSWE'	0	0
'CSWE'	0	0
'CSWE'	0	0
'CSWE'	1	1
'CSWE'	0	0
'CSWE'	0	1
'CSWE'	0	0
'CSWE'	0	1
'CSWE'	0	1
'CSWE'	0	1
'CSWE'	1	1
'CSWE'	0	1
'CSWE'	0	0
'CSWE'	0	1
'CSWE'	0	0
'CSWE'	0	0
'CSWE'	0	0
'CSWE'	0	1
'CSWE'	0	0
'CSWE'	0	0
'CSWE'	0	1
'CSWE'	0	1
'CSWE'	1	1
'CSWE'	0	0
'CSWE'	0	1
'CSWE'	0	1
'CSWE'	0	0
'CSWE'	0	0
'CSWE'	0	1
'CSWE'	0	0
'CSWE'	0	0
'CSWE'	0	0
'CSWE'	0	1
'CSWE'	0	1
'C'	0	0
'C'	0	0
'C'	1	0
'C'	0	0
'C'	0	0
'C'	0	0
'C'	0	0
'C'	0	1
'C'	1	1
'C'	0	0
'C'	0	0
'C'	0	1
'C'	0	1
'C'	0	0
'C'	0	0
'C'	0	0
'C'	0	0
'C'	0	0
'C'	0	0
'C'	0	1
'C'	1	1
'C'	0	1
'C'	0	0
'C'	0	0
'C'	1	1
'C'	0	0
'C'	0	0
'C'	0	0
'C'	0	0
'C'	0	0
'C'	1	1
'C'	0	0
'C'	0	0
'C'	0	0
'C'	0	0
'C'	0	0
'C'	0	0
'C'	0	0
'C'	1	1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157367&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157367&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157367&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 time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







ANOVA Model
post1 ~ Treatment
means0.371-0.371-0.0380.4290.105

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
post1  ~  Treatment \tabularnewline
means & 0.371 & -0.371 & -0.038 & 0.429 & 0.105 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157367&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]post1  ~  Treatment[/C][/ROW]
[ROW][C]means[/C][C]0.371[/C][C]-0.371[/C][C]-0.038[/C][C]0.429[/C][C]0.105[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157367&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157367&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
post1 ~ Treatment
means0.371-0.371-0.0380.4290.105







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Treatment42.7190.682.4590.053
Residuals7621.010.276

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Treatment & 4 & 2.719 & 0.68 & 2.459 & 0.053 \tabularnewline
Residuals & 76 & 21.01 & 0.276 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157367&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]Treatment[/C][C]4[/C][C]2.719[/C][C]0.68[/C][C]2.459[/C][C]0.053[/C][/ROW]
[ROW][C]Residuals[/C][C]76[/C][C]21.01[/C][C]0.276[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157367&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157367&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)
Treatment42.7190.682.4590.053
Residuals7621.010.276







Tukey Honest Significant Difference Comparisons
difflwruprp adj
1-0-0.371-1.0210.2780.503
C-0-0.038-0.5870.5111
CSWE-00.429-0.0980.9550.165
WWE-00.105-0.3010.510.951
C-10.333-0.4411.1080.75
CSWE-10.80.0411.5590.034
WWE-10.476-0.2041.1560.297
CSWE-C0.467-0.2081.1420.31
WWE-C0.143-0.4420.7280.96
WWE-CSWE-0.324-0.8880.2410.5

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
1-0 & -0.371 & -1.021 & 0.278 & 0.503 \tabularnewline
C-0 & -0.038 & -0.587 & 0.511 & 1 \tabularnewline
CSWE-0 & 0.429 & -0.098 & 0.955 & 0.165 \tabularnewline
WWE-0 & 0.105 & -0.301 & 0.51 & 0.951 \tabularnewline
C-1 & 0.333 & -0.441 & 1.108 & 0.75 \tabularnewline
CSWE-1 & 0.8 & 0.041 & 1.559 & 0.034 \tabularnewline
WWE-1 & 0.476 & -0.204 & 1.156 & 0.297 \tabularnewline
CSWE-C & 0.467 & -0.208 & 1.142 & 0.31 \tabularnewline
WWE-C & 0.143 & -0.442 & 0.728 & 0.96 \tabularnewline
WWE-CSWE & -0.324 & -0.888 & 0.241 & 0.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157367&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]1-0[/C][C]-0.371[/C][C]-1.021[/C][C]0.278[/C][C]0.503[/C][/ROW]
[ROW][C]C-0[/C][C]-0.038[/C][C]-0.587[/C][C]0.511[/C][C]1[/C][/ROW]
[ROW][C]CSWE-0[/C][C]0.429[/C][C]-0.098[/C][C]0.955[/C][C]0.165[/C][/ROW]
[ROW][C]WWE-0[/C][C]0.105[/C][C]-0.301[/C][C]0.51[/C][C]0.951[/C][/ROW]
[ROW][C]C-1[/C][C]0.333[/C][C]-0.441[/C][C]1.108[/C][C]0.75[/C][/ROW]
[ROW][C]CSWE-1[/C][C]0.8[/C][C]0.041[/C][C]1.559[/C][C]0.034[/C][/ROW]
[ROW][C]WWE-1[/C][C]0.476[/C][C]-0.204[/C][C]1.156[/C][C]0.297[/C][/ROW]
[ROW][C]CSWE-C[/C][C]0.467[/C][C]-0.208[/C][C]1.142[/C][C]0.31[/C][/ROW]
[ROW][C]WWE-C[/C][C]0.143[/C][C]-0.442[/C][C]0.728[/C][C]0.96[/C][/ROW]
[ROW][C]WWE-CSWE[/C][C]-0.324[/C][C]-0.888[/C][C]0.241[/C][C]0.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157367&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157367&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
1-0-0.371-1.0210.2780.503
C-0-0.038-0.5870.5111
CSWE-00.429-0.0980.9550.165
WWE-00.105-0.3010.510.951
C-10.333-0.4411.1080.75
CSWE-10.80.0411.5590.034
WWE-10.476-0.2041.1560.297
CSWE-C0.467-0.2081.1420.31
WWE-C0.143-0.4420.7280.96
WWE-CSWE-0.324-0.8880.2410.5







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group41.1860.324
76

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 4 & 1.186 & 0.324 \tabularnewline
  & 76 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157367&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]4[/C][C]1.186[/C][C]0.324[/C][/ROW]
[ROW][C] [/C][C]76[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157367&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157367&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)
Group41.1860.324
76



Parameters (Session):
par1 = 3 ; par2 = 1 ; par3 = TRUE ;
Parameters (R input):
par1 = 3 ; 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')