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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 computationSat, 13 Dec 2014 11:18:30 +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/13/t1418469691ijluqbhy91hppra.htm/, Retrieved Thu, 16 May 2024 15:54:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266988, Retrieved Thu, 16 May 2024 15:54:32 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact88

Tree of Dependent Computations

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)] [] [2014-12-13 11:18:30] [f065a278b55a6e0b46d8d4a5c5e7b8ed] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
21 4
22 2
22 4
18 4
23 4
12 3
20 2
22 4
21 4
19 3
22 3
15 3
20 4
19 1
18 2
15 2
20 0
21 3
21 1
15 4
16 4
23 3
21 3
18 1
25 2
9 4
30 3
20 4
23 4
16 4
16 3
19 3
25 3
18 3
23 2
21 3
10 4
14 4
22 3
26 4
23 4
23 3
24 3
24 3
18 3
23 3
15 3
19 4
16 3
25 2
23 4
17 3
19 3
21 4
18 4
27 4
21 3
13 2
8 3
29 4
28 3
23 3
21 3
19 4
19 1
20 4
18 1
19 2
17 3
19 4
25 3
19 4
22 3
23 3
14 3
28 3
16 2
24 3
20 4
12 4
24 4
22 3
12 4
22 4
20 3
10 3
23 4
17 3
22 3
24 4
18 4
21 4
20 3
20 3
22 3
19 4
20 4
26 4
23 3
24 3
21 3
21 3
19 3
8 3
17 4
20 3
11 3
8 4
15 3
18 4
18 4
19 3
19 3

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'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266988&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266988&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266988&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'George Udny Yule' @ yule.wessa.net






ANOVA Model
NUMERACYTOT ~ CESD6
means20-1-0.4-0.185-0.581

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
NUMERACYTOT  ~  CESD6 \tabularnewline
means & 20 & -1 & -0.4 & -0.185 & -0.581 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266988&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]NUMERACYTOT  ~  CESD6[/C][/ROW]
[ROW][C]means[/C][C]20[/C][C]-1[/C][C]-0.4[/C][C]-0.185[/C][C]-0.581[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266988&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266988&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
NUMERACYTOT ~ CESD6
means20-1-0.4-0.185-0.581






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
CESD645.8541.4630.0720.991
Residuals1082205.01320.417 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
CESD6 & 4 & 5.854 & 1.463 & 0.072 & 0.991 \tabularnewline
Residuals & 108 & 2205.013 & 20.417 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266988&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]CESD6[/C][C]4[/C][C]5.854[/C][C]1.463[/C][C]0.072[/C][C]0.991[/C][/ROW]
[ROW][C]Residuals[/C][C]108[/C][C]2205.013[/C][C]20.417[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266988&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266988&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)
CESD645.8541.4630.0720.991
Residuals1082205.01320.417






Tukey Honest Significant Difference Comparisons
difflwruprp adj
1-0-1-14.73312.7331
2-0-0.4-13.54812.7481
3-0-0.185-12.83712.4661
4-0-0.581-13.26212.11
2-10.6-6.2667.4660.999
3-10.815-5.0456.6750.995
4-10.419-5.5056.3421
3-20.215-4.1014.5311
4-2-0.181-4.5834.221
4-3-0.396-2.9582.1660.993

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
1-0 & -1 & -14.733 & 12.733 & 1 \tabularnewline
2-0 & -0.4 & -13.548 & 12.748 & 1 \tabularnewline
3-0 & -0.185 & -12.837 & 12.466 & 1 \tabularnewline
4-0 & -0.581 & -13.262 & 12.1 & 1 \tabularnewline
2-1 & 0.6 & -6.266 & 7.466 & 0.999 \tabularnewline
3-1 & 0.815 & -5.045 & 6.675 & 0.995 \tabularnewline
4-1 & 0.419 & -5.505 & 6.342 & 1 \tabularnewline
3-2 & 0.215 & -4.101 & 4.531 & 1 \tabularnewline
4-2 & -0.181 & -4.583 & 4.22 & 1 \tabularnewline
4-3 & -0.396 & -2.958 & 2.166 & 0.993 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266988&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]-1[/C][C]-14.733[/C][C]12.733[/C][C]1[/C][/ROW]
[ROW][C]2-0[/C][C]-0.4[/C][C]-13.548[/C][C]12.748[/C][C]1[/C][/ROW]
[ROW][C]3-0[/C][C]-0.185[/C][C]-12.837[/C][C]12.466[/C][C]1[/C][/ROW]
[ROW][C]4-0[/C][C]-0.581[/C][C]-13.262[/C][C]12.1[/C][C]1[/C][/ROW]
[ROW][C]2-1[/C][C]0.6[/C][C]-6.266[/C][C]7.466[/C][C]0.999[/C][/ROW]
[ROW][C]3-1[/C][C]0.815[/C][C]-5.045[/C][C]6.675[/C][C]0.995[/C][/ROW]
[ROW][C]4-1[/C][C]0.419[/C][C]-5.505[/C][C]6.342[/C][C]1[/C][/ROW]
[ROW][C]3-2[/C][C]0.215[/C][C]-4.101[/C][C]4.531[/C][C]1[/C][/ROW]
[ROW][C]4-2[/C][C]-0.181[/C][C]-4.583[/C][C]4.22[/C][C]1[/C][/ROW]
[ROW][C]4-3[/C][C]-0.396[/C][C]-2.958[/C][C]2.166[/C][C]0.993[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266988&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266988&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
1-0-1-14.73312.7331
2-0-0.4-13.54812.7481
3-0-0.185-12.83712.4661
4-0-0.581-13.26212.11
2-10.6-6.2667.4660.999
3-10.815-5.0456.6750.995
4-10.419-5.5056.3421
3-20.215-4.1014.5311
4-2-0.181-4.5834.221
4-3-0.396-2.9582.1660.993






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group41.1480.338
108 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 4 & 1.148 & 0.338 \tabularnewline
  & 108 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266988&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]1.148[/C][C]0.338[/C][/ROW]
[ROW][C] [/C][C]108[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266988&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266988&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)
Group41.1480.338
108


Figures (Output of Computation)

Input Parameters & R Code

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):
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')