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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software ModuleIan.Hollidayrwasp_One Factor ANOVA.wasp
Title produced by softwareChi Square Measure of Association- Free Statistics Software (Calculator)
Date of computationWed, 09 Dec 2009 12:19:34 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/09/t1260386537sc0ktxtbupjuzls.htm/, Retrieved Mon, 29 Apr 2024 12:19:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=65164, Retrieved Mon, 29 Apr 2024 12:19:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact110

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi Square Measure of Association- Free Statistics Software (Calculator)] [One Way ANOVA wit...] [2009-11-29 13:09:19] [98fd0e87c3eb04e0cc2efde01dbafab6]
-   PD  [Chi Square Measure of Association- Free Statistics Software (Calculator)] [One Way ANOVA for...] [2009-12-01 13:05:10] [3fdd735c61ad38cbc9b3393dc997cdb7]
- R P     [Chi Square Measure of Association- Free Statistics Software (Calculator)] [CARE date with Tu...] [2009-12-01 18:33:48] [98fd0e87c3eb04e0cc2efde01dbafab6]
-   PD        [Chi Square Measure of Association- Free Statistics Software (Calculator)] [comp9_Q3_Pt2] [2009-12-09 19:19:34] [d2e178999f436d3c845948b18046528a] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
88	1
94	1
90	2
73	2
68	2
80	1
86	2
86	2
91	3
79	3
96	1
92	3
72	2
96	3
70	2
86	1
87	2
88	2
79	3
90	2
95	1
85	2
90	2
115	2
84	2
79	3
94	3
97	2
86	1
111	2
87	2
98	3
87	2
68	3
88	3
82	1
111	1
75	3
94	3
95	2
80	1
95	1
68	1
94	2
88	2
84	1
101	1
98	3
78	2
109	1
102	2
81	3
97	2
75	2
97	1
101	3
101	3
95	2
95	1
95	1
90	3
107	2
92	2
86	2
70	2
95	1
96	2
91	3
87	2
92	1
97	3
102	1
91	2
68	3
88	1
97	3
90	2
101	1
94	2
101	1
109	2
100	2
103	3
94	3
97	3
85	3
75	2
77	2
87	2
78	3
108	1
97	1
105	2
106	1
107	3
95	2
107	2
115	NA
101	2
85	2
90	2
115	3
95	2
97	2
112	3
97	3
77	3
90	2
94	2
103	1
77	3
98	2
90	2
111	2
77	2
88	2
75	1
92	2
78	2
106	1
80	1
87	2
92	3
111	1
86	3
85	1
90	2
101	2
94	3
86	NA
86	1
90	3
75	2
86	3
91	2
97	2
91	3
70	2
98	3
96	2
95	1
100	2
95	1
97	1
97	1
92	1
115	2
88	2
87	2
100	1
98	3
102	3
96	3
NA	2
NA	1
NA	2
NA	3
NA	2
NA	2
NA	1

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65164&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65164&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65164&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






ANOVA Model
VIQ-Year7 ~ MaternalWarmth
means93.85-3.401-2.6126.65

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
VIQ-Year7  ~  MaternalWarmth \tabularnewline
means & 93.85 & -3.401 & -2.612 & 6.65 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65164&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]VIQ-Year7  ~  MaternalWarmth[/C][/ROW]
[ROW][C]means[/C][C]93.85[/C][C]-3.401[/C][C]-2.612[/C][C]6.65[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65164&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65164&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
VIQ-Year7 ~ MaternalWarmth
means93.85-3.401-2.6126.65






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MaternalWarmth3456.65152.2171.3230.269
Residuals14917140.292115.036 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
MaternalWarmth & 3 & 456.65 & 152.217 & 1.323 & 0.269 \tabularnewline
Residuals & 149 & 17140.292 & 115.036 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65164&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]MaternalWarmth[/C][C]3[/C][C]456.65[/C][C]152.217[/C][C]1.323[/C][C]0.269[/C][/ROW]
[ROW][C]Residuals[/C][C]149[/C][C]17140.292[/C][C]115.036[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65164&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65164&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)
MaternalWarmth3456.65152.2171.3230.269
Residuals14917140.292115.036






Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-1-3.401-8.9392.1370.384
3-1-2.612-8.7693.5450.689
NA-16.65-13.54226.8420.828
3-20.789-4.6656.2430.982
NA-210.051-9.93830.040.56
NA-39.262-10.90729.4310.632

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & -3.401 & -8.939 & 2.137 & 0.384 \tabularnewline
3-1 & -2.612 & -8.769 & 3.545 & 0.689 \tabularnewline
NA-1 & 6.65 & -13.542 & 26.842 & 0.828 \tabularnewline
3-2 & 0.789 & -4.665 & 6.243 & 0.982 \tabularnewline
NA-2 & 10.051 & -9.938 & 30.04 & 0.56 \tabularnewline
NA-3 & 9.262 & -10.907 & 29.431 & 0.632 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65164&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]-3.401[/C][C]-8.939[/C][C]2.137[/C][C]0.384[/C][/ROW]
[ROW][C]3-1[/C][C]-2.612[/C][C]-8.769[/C][C]3.545[/C][C]0.689[/C][/ROW]
[ROW][C]NA-1[/C][C]6.65[/C][C]-13.542[/C][C]26.842[/C][C]0.828[/C][/ROW]
[ROW][C]3-2[/C][C]0.789[/C][C]-4.665[/C][C]6.243[/C][C]0.982[/C][/ROW]
[ROW][C]NA-2[/C][C]10.051[/C][C]-9.938[/C][C]30.04[/C][C]0.56[/C][/ROW]
[ROW][C]NA-3[/C][C]9.262[/C][C]-10.907[/C][C]29.431[/C][C]0.632[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65164&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65164&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
2-1-3.401-8.9392.1370.384
3-1-2.612-8.7693.5450.689
NA-16.65-13.54226.8420.828
3-20.789-4.6656.2430.982
NA-210.051-9.93830.040.56
NA-39.262-10.90729.4310.632






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group30.6720.57
149 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 3 & 0.672 & 0.57 \tabularnewline
  & 149 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65164&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]0.672[/C][C]0.57[/C][/ROW]
[ROW][C] [/C][C]149[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65164&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65164&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)
Group30.6720.57
149


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):
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){
thsd<-TukeyHSD(aov.xdf)
bitmap(file='TukeyHSDPlot.png')
plot(thsd)
dev.off()
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<-levene.test(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')