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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, 18 Nov 2014 15:34:04 +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/Nov/18/t1416324987zqc2i0kuzlu9df6.htm/, Retrieved Sun, 19 May 2024 19:56:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=256165, Retrieved Sun, 19 May 2024 19:56:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact86

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)] [maternal age] [2014-11-17 11:39:53] [641a0532220e648aec0292d323d571dc]
- R PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [maternal warmth] [2014-11-18 15:34:04] [4ec7bf9422a703085f65cf71608e4cf5] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
36	3	1
36	6	1
56	8	2
48	8	2
32	7	2
44	5	1
39	7	2
34	8	2
41	9	3
50	9	3
39	3	1
62	9	3
52	7	2
37	9	3
50	8	2
41	6	1
55	7	2
41	8	2
56	9	3
39	7	2
52	6	1
46	8	2
44	7	2
48	7	2
41	8	2
50	9	3
50	9	3
44	7	2
52	4	1
54	7	2
44	7	2
52	9	3
37	7	2
52	9	3
50	10	3
36	5	1
50	6	1
52	9	3
55	9	3
31	8	2
36	6	1
49	6	1
42	5	1
37	8	2
41	8	2
30	5	1
52	6	1
30	9	3
41	8	2
44	4	1
66	8	2
48	9	3
43	7	2
57	7	2
46	6	1
54	9	3
48	9	3
48	8	2
52	4	1
62	6	1
58	10	3
58	8	2
62	7	2
48	7	2
46	8	2
34	3	1
66	8	2
52	10	3
55	7	2
55	5	1
57	10	3
56	5	1
55	8	2
56	9	3
54	6	1
55	9	3
46	8	2
52	5	1
32	8	2
44	3	1
46	7	2
59	8	2
46	10	3
46	9	3
54	10	3
66	9	3
56	8	2
59	8	2
57	8	2
52	9	3
48	4	1
44	6	1
41	7	2
50	4	1
48	9	3
48	7	2
59	8	2
46	8	2
54	7	2
55	7	2
54	9	3
59	8	2
44	8	2
54	9	3
52	9	3
66	10	3
44	7	2
57	8	2
39	5	1
60	9	3
45	8	2
41	7	2
50	8	2
39	8	2
43	7	2
48	6	1
37	7	2
58	7	2
46	6	1
43	6	1
44	7	2
34	9	3
30	6	1
50	10	3
39	4	1
37	8	2
55	7	2
48	10	3
39	5	1
36	9	3
43	8	2
50	9	3
55	8	2
43	8	2
60	9	3
48	8	2
30	9	3
43	7	2
39	6	1
52	8	2
39	6	1
39	5	1
56	3	1
59	6	1
46	8	2
57	7	2
50	8	2
54	6	1
50	9	3
60	9	3
59	10	3
41	7	2
48	5	1
59	8	2
60	9	3
56	8	2
56	8	2
51	4	1

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'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=256165&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=256165&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=256165&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'Gwilym Jenkins' @ jenkins.wessa.net






ANOVA Model
verbalIQ ~ warmthgroup
means45.3572.8355.806

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
verbalIQ  ~  warmthgroup \tabularnewline
means & 45.357 & 2.835 & 5.806 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=256165&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]verbalIQ  ~  warmthgroup[/C][/ROW]
[ROW][C]means[/C][C]45.357[/C][C]2.835[/C][C]5.806[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=256165&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=256165&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
verbalIQ ~ warmthgroup
means45.3572.8355.806






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
warmthgroup2716.555358.2785.3150.006
Residuals15510448.81867.412 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
warmthgroup & 2 & 716.555 & 358.278 & 5.315 & 0.006 \tabularnewline
Residuals & 155 & 10448.818 & 67.412 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=256165&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]warmthgroup[/C][C]2[/C][C]716.555[/C][C]358.278[/C][C]5.315[/C][C]0.006[/C][/ROW]
[ROW][C]Residuals[/C][C]155[/C][C]10448.818[/C][C]67.412[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=256165&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=256165&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)
warmthgroup2716.555358.2785.3150.006
Residuals15510448.81867.412






Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-12.835-0.9286.5980.179
3-15.8061.5910.0210.004
3-22.971-0.7646.7060.147

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & 2.835 & -0.928 & 6.598 & 0.179 \tabularnewline
3-1 & 5.806 & 1.59 & 10.021 & 0.004 \tabularnewline
3-2 & 2.971 & -0.764 & 6.706 & 0.147 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=256165&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]2.835[/C][C]-0.928[/C][C]6.598[/C][C]0.179[/C][/ROW]
[ROW][C]3-1[/C][C]5.806[/C][C]1.59[/C][C]10.021[/C][C]0.004[/C][/ROW]
[ROW][C]3-2[/C][C]2.971[/C][C]-0.764[/C][C]6.706[/C][C]0.147[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=256165&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=256165&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
2-12.835-0.9286.5980.179
3-15.8061.5910.0210.004
3-22.971-0.7646.7060.147






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group20.5950.553
155 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 0.595 & 0.553 \tabularnewline
  & 155 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=256165&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]2[/C][C]0.595[/C][C]0.553[/C][/ROW]
[ROW][C] [/C][C]155[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=256165&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=256165&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)
Group20.5950.553
155


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 3 ; par3 = TRUE ;
Parameters (R input):
par1 = 1 ; par2 = 3 ; 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')