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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, 11 Dec 2016 20:12:05 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/11/t1481483641skmlbx5i2ligb3c.htm/, Retrieved Thu, 02 May 2024 03:30:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298852, Retrieved Thu, 02 May 2024 03:30:58 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact63

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)] [] [2016-12-11 19:12:05] [c4ef4c70482680cab119953cba46aca4] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
14	3
19	4
17	5
20	3
15	4
19	4
20	4
18	3
15	4
14	4
16	4
19	4
18	4
17	4
19	4
17	4
19	3
20	4
19	2
16	4
16	3
18	4
16	4
17	4
20	4
19	4
7	4
16	4
16	4
18	4
17	3
19	4
16	4
13	5
16	4
12	4
17	4
17	5
17	4
16	4
16	2
14	4
16	4
13	4
16	4
14	4
19	3
18	4
14	4
18	4
15	3
17	4
13	5
19	4
18	4
15	4
15	4
19	5
18	4
15	5
20	4
17	4
19	4
20	4
18	4
17	3
18	4
17	4
20	4
16	4
14	4
15	4
20	4
17	4
17	4
18	3
20	5
16	3
18	4
15	4
18	5
20	5
14	4
15	4
17	5
18	4
20	5
17	3
16	4
11	4
15	4
18	4
16	4
18	4
15	4
17	5
19	4
16	4
14	4

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298852&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298852&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298852&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R ServerBig Analytics Cloud Computing Center






ANOVA Model
ITHSUM ~ TVDC2
means17.5-0.333-0.856-0.333

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
ITHSUM  ~  TVDC2 \tabularnewline
means & 17.5 & -0.333 & -0.856 & -0.333 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298852&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]ITHSUM  ~  TVDC2[/C][/ROW]
[ROW][C]means[/C][C]17.5[/C][C]-0.333[/C][C]-0.856[/C][C]-0.333[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298852&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298852&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
ITHSUM ~ TVDC2
means17.5-0.333-0.856-0.333






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
TVDC235.9721.9910.3790.768
Residuals95498.5735.248 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
TVDC2 & 3 & 5.972 & 1.991 & 0.379 & 0.768 \tabularnewline
Residuals & 95 & 498.573 & 5.248 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298852&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]TVDC2[/C][C]3[/C][C]5.972[/C][C]1.991[/C][C]0.379[/C][C]0.768[/C][/ROW]
[ROW][C]Residuals[/C][C]95[/C][C]498.573[/C][C]5.248[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298852&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298852&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)
TVDC235.9721.9910.3790.768
Residuals95498.5735.248






Tukey Honest Significant Difference Comparisons
difflwruprp adj
3-2-0.333-4.9094.2420.998
4-2-0.856-5.153.4380.954
5-2-0.333-4.9094.2420.998
4-3-0.523-2.3891.3430.884
5-30-2.4462.4461
5-40.523-1.3432.3890.884

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
3-2 & -0.333 & -4.909 & 4.242 & 0.998 \tabularnewline
4-2 & -0.856 & -5.15 & 3.438 & 0.954 \tabularnewline
5-2 & -0.333 & -4.909 & 4.242 & 0.998 \tabularnewline
4-3 & -0.523 & -2.389 & 1.343 & 0.884 \tabularnewline
5-3 & 0 & -2.446 & 2.446 & 1 \tabularnewline
5-4 & 0.523 & -1.343 & 2.389 & 0.884 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298852&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]3-2[/C][C]-0.333[/C][C]-4.909[/C][C]4.242[/C][C]0.998[/C][/ROW]
[ROW][C]4-2[/C][C]-0.856[/C][C]-5.15[/C][C]3.438[/C][C]0.954[/C][/ROW]
[ROW][C]5-2[/C][C]-0.333[/C][C]-4.909[/C][C]4.242[/C][C]0.998[/C][/ROW]
[ROW][C]4-3[/C][C]-0.523[/C][C]-2.389[/C][C]1.343[/C][C]0.884[/C][/ROW]
[ROW][C]5-3[/C][C]0[/C][C]-2.446[/C][C]2.446[/C][C]1[/C][/ROW]
[ROW][C]5-4[/C][C]0.523[/C][C]-1.343[/C][C]2.389[/C][C]0.884[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298852&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298852&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
3-2-0.333-4.9094.2420.998
4-2-0.856-5.153.4380.954
5-2-0.333-4.9094.2420.998
4-3-0.523-2.3891.3430.884
5-30-2.4462.4461
5-40.523-1.3432.3890.884






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group30.3470.791
95 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 3 & 0.347 & 0.791 \tabularnewline
  & 95 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298852&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]0.347[/C][C]0.791[/C][/ROW]
[ROW][C] [/C][C]95[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298852&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298852&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)
Group30.3470.791
95


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = FALSE ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = TRUE ;
R code (references can be found in the software module):
par3 <- 'TRUE'
par2 <- '1'
par1 <- '2'
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')