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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 computationMon, 19 Dec 2016 15:47:25 +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/19/t1482159048jqh6mle2twe8feg.htm/, Retrieved Fri, 01 Nov 2024 03:33:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=301374, Retrieved Fri, 01 Nov 2024 03:33:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact105

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)] [1-way ANOVA] [2016-12-19 14:47:25] [1759881725a0396915ebed807ae3b27a] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3	3
4	1
4	5
3	4
3	3
4	2
3	4
3	5
3	5
3	3
4	2
3	2
5	4
4	4
4	4
3	5
5	2
2	2
2	4
3	4
3	4
3	5
3	3
4	4
4	3
4	3
4	3
2	5
4	4
3	4
3	3
4	3
2	5
4	3
4	3
3	3
3	5
4	3
3	3
4	3
3	4
3	3
4	1
4	4
3	4
3	3
3	4
3	4
1	5
3	4
4	4
4	3
2	2
4	4
4	3
3	3
5	3
3	4
2	4
3	3
4	4
3	5
3	2
4	3
3	3
4	3
3	4
5	3
4	4
4	3
4	1
2	4
3	3
5	2
4	3
4	3
4	4
4	5
3	3
4	2
4	2
4	2
3	3
4	4
3	3
3	5
3	4
4	4
3	3
3	4
3	3
3	5
3	4
4	4
3	3
3	4
3	4
3	4
4	4
4	4
4	4
4	3
4	5
4	5
4	4
3	4
3	4
3	4
3	3
4	4
3	3
3	3
4	3
3	3
3	2
4	4
3	3
3	2
3	4
3	4
4	4
3	5
4	4
3	4
3	4
4	4
3	5
4	2
4	4
5	5
4	4
4	5
3	2
3	4
3	5
4	3
4	4
3	4
3	3
3	5
3	5
3	3
4	2
4	4
3	5
2	3
2	3
3	4
3	3
4	2
3	3
4	3
2	4
4	1
3	4
3	3
3	3
3	2
3	3
3	3
4	5

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time4 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 time4 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301374&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]4 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=301374&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301374&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 time4 seconds
R ServerBig Analytics Cloud Computing Center






ANOVA Model
GW4 ~ IVHB3
means4-0.444-0.618-0.6-0.833

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
GW4  ~  IVHB3 \tabularnewline
means & 4 & -0.444 & -0.618 & -0.6 & -0.833 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301374&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]GW4  ~  IVHB3[/C][/ROW]
[ROW][C]means[/C][C]4[/C][C]-0.444[/C][C]-0.618[/C][C]-0.6[/C][C]-0.833[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301374&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301374&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
GW4 ~ IVHB3
means4-0.444-0.618-0.6-0.833






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
IVHB343.1880.7971.70.153
Residuals15673.160.469 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
IVHB3 & 4 & 3.188 & 0.797 & 1.7 & 0.153 \tabularnewline
Residuals & 156 & 73.16 & 0.469 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301374&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]IVHB3[/C][C]4[/C][C]3.188[/C][C]0.797[/C][C]1.7[/C][C]0.153[/C][/ROW]
[ROW][C]Residuals[/C][C]156[/C][C]73.16[/C][C]0.469[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301374&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301374&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)
IVHB343.1880.7971.70.153
Residuals15673.160.469






Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-1-0.444-1.4890.60.766
3-1-0.618-1.5970.3610.411
4-1-0.6-1.5760.3760.439
5-1-0.833-1.8540.1870.166
3-2-0.174-0.6870.3390.883
4-2-0.156-0.6630.3520.916
5-2-0.389-0.9780.20.365
4-30.018-0.3350.3711
5-3-0.215-0.6780.2470.701
5-4-0.233-0.690.2230.622

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & -0.444 & -1.489 & 0.6 & 0.766 \tabularnewline
3-1 & -0.618 & -1.597 & 0.361 & 0.411 \tabularnewline
4-1 & -0.6 & -1.576 & 0.376 & 0.439 \tabularnewline
5-1 & -0.833 & -1.854 & 0.187 & 0.166 \tabularnewline
3-2 & -0.174 & -0.687 & 0.339 & 0.883 \tabularnewline
4-2 & -0.156 & -0.663 & 0.352 & 0.916 \tabularnewline
5-2 & -0.389 & -0.978 & 0.2 & 0.365 \tabularnewline
4-3 & 0.018 & -0.335 & 0.371 & 1 \tabularnewline
5-3 & -0.215 & -0.678 & 0.247 & 0.701 \tabularnewline
5-4 & -0.233 & -0.69 & 0.223 & 0.622 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301374&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]-0.444[/C][C]-1.489[/C][C]0.6[/C][C]0.766[/C][/ROW]
[ROW][C]3-1[/C][C]-0.618[/C][C]-1.597[/C][C]0.361[/C][C]0.411[/C][/ROW]
[ROW][C]4-1[/C][C]-0.6[/C][C]-1.576[/C][C]0.376[/C][C]0.439[/C][/ROW]
[ROW][C]5-1[/C][C]-0.833[/C][C]-1.854[/C][C]0.187[/C][C]0.166[/C][/ROW]
[ROW][C]3-2[/C][C]-0.174[/C][C]-0.687[/C][C]0.339[/C][C]0.883[/C][/ROW]
[ROW][C]4-2[/C][C]-0.156[/C][C]-0.663[/C][C]0.352[/C][C]0.916[/C][/ROW]
[ROW][C]5-2[/C][C]-0.389[/C][C]-0.978[/C][C]0.2[/C][C]0.365[/C][/ROW]
[ROW][C]4-3[/C][C]0.018[/C][C]-0.335[/C][C]0.371[/C][C]1[/C][/ROW]
[ROW][C]5-3[/C][C]-0.215[/C][C]-0.678[/C][C]0.247[/C][C]0.701[/C][/ROW]
[ROW][C]5-4[/C][C]-0.233[/C][C]-0.69[/C][C]0.223[/C][C]0.622[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301374&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301374&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
2-1-0.444-1.4890.60.766
3-1-0.618-1.5970.3610.411
4-1-0.6-1.5760.3760.439
5-1-0.833-1.8540.1870.166
3-2-0.174-0.6870.3390.883
4-2-0.156-0.6630.3520.916
5-2-0.389-0.9780.20.365
4-30.018-0.3350.3711
5-3-0.215-0.6780.2470.701
5-4-0.233-0.690.2230.622






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group41.2450.294
156 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 4 & 1.245 & 0.294 \tabularnewline
  & 156 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301374&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]1.245[/C][C]0.294[/C][/ROW]
[ROW][C] [/C][C]156[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301374&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301374&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)
Group41.2450.294
156


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):
par3 <- 'TRUE'
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')