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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 computationTue, 28 Nov 2017 20:40:56 +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/Nov/28/t1511898093507wsfb1koox6fn.htm/, Retrieved Sat, 18 May 2024 14:42:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=308271, Retrieved Sat, 18 May 2024 14:42:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsITU_sum - likertscore_SQ1
Estimated Impact155

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)] [1wayANOVA] [2017-11-28 19:40:56] [e32c8f3a6c40fa6b5d041988204898ea] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10 3
8 2
8 4
9 4
5 3
10 4
8 2
9 3
8 3
7 5
10 4
10 3
9 4
4 3
4 4
8 5
9 3
10 3
8 4
5 4
10 4
8 2
7 3
8 4
8 4
9 3
8 3
6 3
8 4
8 2
5 5
9 2
8 3
8 3
8 3
6 4
6 3
9 3
8 4
9 5
10 3
8 3
8 2
7 4
7 4
10 4
8 3
7 4
10 4
7 3
7 3
9 5
9 5
8 4
6 3
8 4
9 3
2 4
6 5
8 3
8 4
7 3
8 2
6 2
10 2
10 3
10 3
8 3
8 3
7 3
10 5
5 3
3 1
2 1
3 3
4 1
2 3
6 2
8 4
8 4
5 1
10 4
9 3
8 3
9 4
8 4
5 3
7 4
9 4
8 2
4 4
7 2
8 4
7 4
7 4
9 4
6 4
7 4
4 2
6 4
10 5
9 4
10 5
8 4
4 4
8 5
5 4
8 4
9 4
8 3
4 5
8 3
10 4
6 2
7 4
10 3
9 4
8 5
3 2
8 3
7 2
7 3
8 3
8 4
7 5
7 4
9 5
9 4
9 4
4 3
6 3
6 3
6 3
8 4
3 2
8 5
8 4
6 2
10 4
2 3
9 4
6 4
6 3
5 2
4 2
7 4
5 1
8 4
6 4
9 5
6 3
4 1
7 3
2 1
8 5
9 3
6 4
5 2
7 4
8 4
4 4
9 4
9 4
9 4
7 3
5 4
7 3
9 5
8 4
6 3
9 5
8 3
7 5
7 2
7 5
8 3
10 4
6 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=308271&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=308271&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308271&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
ITU_sum ~ SQ1_likert
means3.5712.9743.7274.0864.429

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
ITU_sum  ~  SQ1_likert \tabularnewline
means & 3.571 & 2.974 & 3.727 & 4.086 & 4.429 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308271&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]ITU_sum  ~  SQ1_likert[/C][/ROW]
[ROW][C]means[/C][C]3.571[/C][C]2.974[/C][C]3.727[/C][C]4.086[/C][C]4.429[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308271&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308271&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
ITU_sum ~ SQ1_likert
means3.5712.9743.7274.0864.429






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
SQ1_likert4129.51832.37910.0950
Residuals173554.873.207 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
SQ1_likert & 4 & 129.518 & 32.379 & 10.095 & 0 \tabularnewline
Residuals & 173 & 554.87 & 3.207 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308271&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]SQ1_likert[/C][C]4[/C][C]129.518[/C][C]32.379[/C][C]10.095[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]173[/C][C]554.87[/C][C]3.207[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308271&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308271&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)
SQ1_likert4129.51832.37910.0950
Residuals173554.873.207






Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-12.9740.8325.1160.002
3-13.7271.755.7040
4-14.0862.1296.0430
5-14.4292.2866.5710
3-20.753-0.4861.9920.452
4-21.112-0.0952.3180.087
5-21.455-0.0342.9430.059
4-30.359-0.5221.240.794
5-30.702-0.5371.9410.524
5-40.343-0.8641.550.935

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & 2.974 & 0.832 & 5.116 & 0.002 \tabularnewline
3-1 & 3.727 & 1.75 & 5.704 & 0 \tabularnewline
4-1 & 4.086 & 2.129 & 6.043 & 0 \tabularnewline
5-1 & 4.429 & 2.286 & 6.571 & 0 \tabularnewline
3-2 & 0.753 & -0.486 & 1.992 & 0.452 \tabularnewline
4-2 & 1.112 & -0.095 & 2.318 & 0.087 \tabularnewline
5-2 & 1.455 & -0.034 & 2.943 & 0.059 \tabularnewline
4-3 & 0.359 & -0.522 & 1.24 & 0.794 \tabularnewline
5-3 & 0.702 & -0.537 & 1.941 & 0.524 \tabularnewline
5-4 & 0.343 & -0.864 & 1.55 & 0.935 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308271&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]2.974[/C][C]0.832[/C][C]5.116[/C][C]0.002[/C][/ROW]
[ROW][C]3-1[/C][C]3.727[/C][C]1.75[/C][C]5.704[/C][C]0[/C][/ROW]
[ROW][C]4-1[/C][C]4.086[/C][C]2.129[/C][C]6.043[/C][C]0[/C][/ROW]
[ROW][C]5-1[/C][C]4.429[/C][C]2.286[/C][C]6.571[/C][C]0[/C][/ROW]
[ROW][C]3-2[/C][C]0.753[/C][C]-0.486[/C][C]1.992[/C][C]0.452[/C][/ROW]
[ROW][C]4-2[/C][C]1.112[/C][C]-0.095[/C][C]2.318[/C][C]0.087[/C][/ROW]
[ROW][C]5-2[/C][C]1.455[/C][C]-0.034[/C][C]2.943[/C][C]0.059[/C][/ROW]
[ROW][C]4-3[/C][C]0.359[/C][C]-0.522[/C][C]1.24[/C][C]0.794[/C][/ROW]
[ROW][C]5-3[/C][C]0.702[/C][C]-0.537[/C][C]1.941[/C][C]0.524[/C][/ROW]
[ROW][C]5-4[/C][C]0.343[/C][C]-0.864[/C][C]1.55[/C][C]0.935[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308271&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308271&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
2-12.9740.8325.1160.002
3-13.7271.755.7040
4-14.0862.1296.0430
5-14.4292.2866.5710
3-20.753-0.4861.9920.452
4-21.112-0.0952.3180.087
5-21.455-0.0342.9430.059
4-30.359-0.5221.240.794
5-30.702-0.5371.9410.524
5-40.343-0.8641.550.935






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group40.5150.725
173 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 4 & 0.515 & 0.725 \tabularnewline
  & 173 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308271&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]0.515[/C][C]0.725[/C][/ROW]
[ROW][C] [/C][C]173[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308271&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308271&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)
Group40.5150.725
173


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = grey ; par2 = no ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = TRUE ;
R code (references can be found in the software module):
par3 <- 'TRUE'
par2 <- 'no'
par1 <- 'grey'
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')