FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 computationWed, 25 Jan 2017 09:17:06 +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/2017/Jan/25/t1485332268oi6v23959qcggjo.htm/, Retrieved Mon, 13 May 2024 21:51:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=305365, Retrieved Mon, 13 May 2024 21:51:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact74

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)] [] [2017-01-25 08:17:06] [40cb9af790d98472ea54923de2b5af04] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4 2
5 3
4 4
3 4
4 4
3 4
3 4
3 4
4 5
4 5
4 4
4 4
4 4
3 3
4 4
3 4
3 4
NA NA
5 5
4 4
3 4
4 4
4 4
4 4
4 4
3 4
3 4
4 4
2 4
5 4
4 3
4 5
5 4
4 3
2 3
4 5
3 4
4 3
4 3
4 4
5 4
4 5
3 3
5 5
5 4
4 4
4 4
3 5
4 4
2 3
4 5
5 5
5 5
4 3
4 3
4 4
3 4
3 4
4 4
4 4
5 5
2 4
4 4
3 4
4 4
4 2
4 4
4 4
5 4
3 4
3 4
4 5
4 4
4 4
4 4
3 4
4 4
3 4
3 3
4 3
4 4
3 3
4 4
4 4
4 4
5 4
5 4
4 4
3 4
3 NA
4 2
4 4
4 4
4 4
4 5
3 4
4 4
5 4
5 4
4 5
3 4
5 3
4 4
5 4
3 4
5 4
4 4
4 4
4 4
4 4
3 4
4 4
4 4
3 3
4 4
3 4
4 4
5 4
5 4
4 4
4 4
3 4
4 4
4 4
4 5
3 4
4 4
4 4
3 4
4 4
3 2
4 4
5 4
2 4
3 3
4 4
5 5
NA NA
4 5
5 5
4 5
4 4
3 4
4 4
4 4
4 4
4 4
5 4
4 3
4 4
3 3
4 5
4 4
4 4
3 4
4 4
5 4
4 4
2 3
4 4
4 3
4 4
4 5
5 4
5 4
3 3
4 4
4 4
2 3

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=305365&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=305365&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=305365&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
SKEOU1 ~ SKEOU2
means3.75-0.3590.1130.523-0.75

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
SKEOU1  ~  SKEOU2 \tabularnewline
means & 3.75 & -0.359 & 0.113 & 0.523 & -0.75 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=305365&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]SKEOU1  ~  SKEOU2[/C][/ROW]
[ROW][C]means[/C][C]3.75[/C][C]-0.359[/C][C]0.113[/C][C]0.523[/C][C]-0.75[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=305365&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=305365&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
SKEOU1 ~ SKEOU2
means3.75-0.3590.1130.523-0.75






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
SKEOU249.5482.3874.810.001
Residuals16280.4040.496 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
SKEOU2 & 4 & 9.548 & 2.387 & 4.81 & 0.001 \tabularnewline
Residuals & 162 & 80.404 & 0.496 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=305365&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]SKEOU2[/C][C]4[/C][C]9.548[/C][C]2.387[/C][C]4.81[/C][C]0.001[/C][/ROW]
[ROW][C]Residuals[/C][C]162[/C][C]80.404[/C][C]0.496[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=305365&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=305365&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)
SKEOU249.5482.3874.810.001
Residuals16280.4040.496






Tukey Honest Significant Difference Comparisons
difflwruprp adj
3-2-0.359-1.4120.6940.881
4-20.113-0.8751.1010.998
5-20.523-0.5341.5790.651
NA-2-0.75-2.9231.4230.876
4-30.4720.0290.9150.031
5-30.8810.3021.4610
NA-3-0.391-2.3771.5940.983
5-40.409-0.0420.8610.095
NA-4-0.863-2.8151.0890.74
NA-5-1.273-3.260.7140.397

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
3-2 & -0.359 & -1.412 & 0.694 & 0.881 \tabularnewline
4-2 & 0.113 & -0.875 & 1.101 & 0.998 \tabularnewline
5-2 & 0.523 & -0.534 & 1.579 & 0.651 \tabularnewline
NA-2 & -0.75 & -2.923 & 1.423 & 0.876 \tabularnewline
4-3 & 0.472 & 0.029 & 0.915 & 0.031 \tabularnewline
5-3 & 0.881 & 0.302 & 1.461 & 0 \tabularnewline
NA-3 & -0.391 & -2.377 & 1.594 & 0.983 \tabularnewline
5-4 & 0.409 & -0.042 & 0.861 & 0.095 \tabularnewline
NA-4 & -0.863 & -2.815 & 1.089 & 0.74 \tabularnewline
NA-5 & -1.273 & -3.26 & 0.714 & 0.397 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=305365&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]-0.359[/C][C]-1.412[/C][C]0.694[/C][C]0.881[/C][/ROW]
[ROW][C]4-2[/C][C]0.113[/C][C]-0.875[/C][C]1.101[/C][C]0.998[/C][/ROW]
[ROW][C]5-2[/C][C]0.523[/C][C]-0.534[/C][C]1.579[/C][C]0.651[/C][/ROW]
[ROW][C]NA-2[/C][C]-0.75[/C][C]-2.923[/C][C]1.423[/C][C]0.876[/C][/ROW]
[ROW][C]4-3[/C][C]0.472[/C][C]0.029[/C][C]0.915[/C][C]0.031[/C][/ROW]
[ROW][C]5-3[/C][C]0.881[/C][C]0.302[/C][C]1.461[/C][C]0[/C][/ROW]
[ROW][C]NA-3[/C][C]-0.391[/C][C]-2.377[/C][C]1.594[/C][C]0.983[/C][/ROW]
[ROW][C]5-4[/C][C]0.409[/C][C]-0.042[/C][C]0.861[/C][C]0.095[/C][/ROW]
[ROW][C]NA-4[/C][C]-0.863[/C][C]-2.815[/C][C]1.089[/C][C]0.74[/C][/ROW]
[ROW][C]NA-5[/C][C]-1.273[/C][C]-3.26[/C][C]0.714[/C][C]0.397[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=305365&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=305365&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
3-2-0.359-1.4120.6940.881
4-20.113-0.8751.1010.998
5-20.523-0.5341.5790.651
NA-2-0.75-2.9231.4230.876
4-30.4720.0290.9150.031
5-30.8810.3021.4610
NA-3-0.391-2.3771.5940.983
5-40.409-0.0420.8610.095
NA-4-0.863-2.8151.0890.74
NA-5-1.273-3.260.7140.397






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group41.9810.1
162 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 4 & 1.981 & 0.1 \tabularnewline
  & 162 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=305365&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]1.981[/C][C]0.1[/C][/ROW]
[ROW][C] [/C][C]162[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=305365&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=305365&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)
Group41.9810.1
162


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 11 ; par2 = 22 ; par3 = FALSETRUE ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = TRUE ;
R code (references can be found in the software module):
par3 <- 'FALSE'
par2 <- '2'
par1 <- '1'
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')