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 computationTue, 18 Nov 2014 13:58:07 +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/t1416319160lsyvjrkkvomdupo.htm/, Retrieved Sun, 19 May 2024 14:55:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=256073, Retrieved Sun, 19 May 2024 14:55:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact89

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)] [maternaliq] [2014-11-18 13:58:07] [4ec7bf9422a703085f65cf71608e4cf5] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
88	86	2
94	86	2
90	103	3
73	74	1
68	63	1
80	82	2
86	93	2
86	77	1
91	111	3
79	71	1
96	103	3
92	89	2
72	75	1
96	88	2
70	84	2
86	85	2
87	70	1
88	104	3
79	88	2
90	77	1
95	77	1
85	72	1
90	83	2
115	110	3
84	91	2
79	80	2
94	91	2
97	86	2
86	85	2
111	107	3
87	93	2
98	87	2
87	84	2
68	73	1
88	84	2
82	86	2
111	99	3
75	75	1
94	87	2
95	79	1
80	82	2
95	95	3
68	84	2
94	85	2
88	95	3
84	63	1
101	85	2
98	86	2
78	75	1
109	98	3
102	71	1
81	63	1
97	71	1
75	84	2
97	81	2
101	79	1
101	63	1
95	93	2
95	92	2
95	83	2
90	80	2
107	111	3
92	92	2
86	79	1
70	69	1
95	83	2
96	80	2
91	91	2
87	97	3
92	85	2
97	85	2
102	99	3
91	67	1
68	87	2
88	68	1
97	81	2
90	80	2
101	93	2
94	93	2
101	102	3
109	104	3
100	90	2
103	85	2
94	92	2
97	82	2
85	85	2
75	89	2
77	77	1
87	79	1
78	76	1
108	101	3
97	81	2
105	92	2
106	89	2
107	81	2
95	77	1
107	95	3
115	85	2
101	81	2
85	76	1
90	93	2
115	104	3
95	89	2
97	76	1
112	77	1
97	71	1
77	79	1
90	89	2
94	81	2
103	99	3
77	81	2
98	84	2
90	85	2
111	111	3
77	78	1
88	111	3
75	78	1
92	87	2
78	92	2
106	93	2
80	70	1
87	84	2
92	75	1
111	96	3
86	85	2
85	87	2
90	75	1
101	103	3
94	86	2
86	77	1
86	74	1
90	74	1
75	76	1
86	83	2
91	101	3
97	83	2
91	92	2
70	74	1
98	87	2
96	71	1
95	79	1
100	83	2
95	80	2
97	90	2
97	80	2
92	96	3
115	109	3
88	98	3
87	85	2
100	83	2
98	86	2
102	72	1
96	75	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' @ 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=256073&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=256073&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=256073&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' @ jenkins.wessa.net






ANOVA Model
verbalIQ ~ MaternalIQgroup
means86.2395.39814.872

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
verbalIQ  ~  MaternalIQgroup \tabularnewline
means & 86.239 & 5.398 & 14.872 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=256073&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]verbalIQ  ~  MaternalIQgroup[/C][/ROW]
[ROW][C]means[/C][C]86.239[/C][C]5.398[/C][C]14.872[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=256073&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=256073&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 ~ MaternalIQgroup
means86.2395.39814.872






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MaternalIQgroup23763.4171881.70920.4040
Residuals15013833.52492.223 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
MaternalIQgroup & 2 & 3763.417 & 1881.709 & 20.404 & 0 \tabularnewline
Residuals & 150 & 13833.524 & 92.223 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=256073&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]MaternalIQgroup[/C][C]2[/C][C]3763.417[/C][C]1881.709[/C][C]20.404[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]150[/C][C]13833.524[/C][C]92.223[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=256073&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=256073&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)
MaternalIQgroup23763.4171881.70920.4040
Residuals15013833.52492.223






Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-15.3981.1929.6050.008
3-114.8729.36120.3830
3-29.4744.41414.5330

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & 5.398 & 1.192 & 9.605 & 0.008 \tabularnewline
3-1 & 14.872 & 9.361 & 20.383 & 0 \tabularnewline
3-2 & 9.474 & 4.414 & 14.533 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=256073&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]5.398[/C][C]1.192[/C][C]9.605[/C][C]0.008[/C][/ROW]
[ROW][C]3-1[/C][C]14.872[/C][C]9.361[/C][C]20.383[/C][C]0[/C][/ROW]
[ROW][C]3-2[/C][C]9.474[/C][C]4.414[/C][C]14.533[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=256073&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=256073&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
2-15.3981.1929.6050.008
3-114.8729.36120.3830
3-29.4744.41414.5330






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group22.1110.125
150 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 2.111 & 0.125 \tabularnewline
  & 150 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=256073&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]2.111[/C][C]0.125[/C][/ROW]
[ROW][C] [/C][C]150[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=256073&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=256073&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)
Group22.1110.125
150


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')