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Author's title

Author*Unverified author*
R Software Modulerwasp_One Factor ANOVA.wasp
Title produced by softwareOne-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)
Date of computationTue, 12 Nov 2013 07:04:33 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Nov/12/t1384257992nf4ml17cgnwhlmw.htm/, Retrieved Thu, 02 May 2024 18:42:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=224276, Retrieved Thu, 02 May 2024 18:42:18 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact82
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]
-   P       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [CARE Data with Tu...] [2010-11-23 12:09:38] [3fdd735c61ad38cbc9b3393dc997cdb7]
- RM          [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [IQ and Mothers Age] [2011-11-21 16:34:08] [98fd0e87c3eb04e0cc2efde01dbafab6]
- R  D          [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [MC30VRB WISCRY7V] [2013-11-12 10:32:44] [74be16979710d4c4e7c6647856088456]
-    D              [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [MVRBIQ0 MVIQ] [2013-11-12 12:04:33] [d41d8cd98f00b204e9800998ecf8427e] [Current]
-    D                [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [MWARM30 MC30VRB W...] [2013-11-12 12:35:17] [74be16979710d4c4e7c6647856088456]
-    D                [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [MVRBIQ0 MC30VRB W...] [2013-11-12 12:42:13] [74be16979710d4c4e7c6647856088456]
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Dataseries X:
86	2.0
86	2.0
103	2.0
74	1.0
63	1.0
82	2.0
93	2.0
77	2.0
111	2.0
71	1.0
103	3.0
89	2.0
75	1.0
88	3.0
84	1.0
85	1.0
70	1.0
104	1.0
88	1.0
77	2.0
77	3.0
72	2.0
83	2.0
110	3.0
91	2.0
80	1.0
91	2.0
86	3.0
85	2.0
107	3.0
93	2.0
87	3.0
84	2.0
73	1.0
84	2.0
86	2.0
99	3.0
75	1.0
87	2.0
79	3.0
82	2.0
95	3.0
84	1.0
85	2.0
95	2.0
63	2.0
85	3.0
86	3.0
75	1.0
98	3.0
71	3.0
63	2.0
71	3.0
84	1.0
81	3.0
79	3.0
63	3.0
93	3.0
92	3.0
83	3.0
80	2.0
111	3.0
92	2.0
79	2.0
69	1.0
83	3.0
80	3.0
91	2.0
97	2.0
85	2.0
85	3.0
99	3.0
67	2.0
87	1.0
68	2.0
81	3.0
80	2.0
93	3.0
93	2.0
102	3.0
104	3.0
90	3.0
85	3.0
92	2.0
82	3.0
85	2.0
89	1.0
77	1.0
79	2.0
76	1.0
101	3.0
81	3.0
92	3.0
89	3.0
81	3.0
77	3.0
95	3.0
85	3.0
81	3.0
76	2.0
93	2.0
104	3.0
89	3.0
76	3.0
77	3.0
71	3.0
79	1.0
89	2.0
81	2.0
99	3.0
81	1.0
84	3.0
85	2.0
111	3.0
78	1.0
111	2.0
78	1.0
87	2.0
92	1.0
93	3.0
70	2.0
84	2.0
75	2.0
96	3.0
85	2.0
87	2.0
75	2.0
103	3.0
86	2.0
77	2.0
74	2.0
74	2.0
76	1.0
83	2.0
101	2.0
83	3.0
92	2.0
74	1.0
87	3.0
71	3.0
79	3.0
83	3.0
80	3.0
90	3.0
80	3.0
96	2.0
109	3.0
98	2.0
85	2.0
83	3.0
86	3.0
72	3.0
75	3.0




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net
R Framework error message
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.

\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 & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
R Framework error message & 
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=224276&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=224276&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=224276&T=0

As an alternative you can also use a 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 time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net
R Framework error message
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.







ANOVA Model
MVRBIQ0 ~ MVIQ
means79.2965.7048.446

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
MVRBIQ0  ~  MVIQ
 \tabularnewline
means & 79.296 & 5.704 & 8.446 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=224276&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]MVRBIQ0  ~  MVIQ
[/C][/ROW]
[ROW][C]means[/C][C]79.296[/C][C]5.704[/C][C]8.446[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=224276&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=224276&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

ANOVA Model
MVRBIQ0 ~ MVIQ
means79.2965.7048.446







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MVIQ 21369.984684.9926.5350.002
Residuals15015722.251104.815

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
MVIQ
 & 2 & 1369.984 & 684.992 & 6.535 & 0.002 \tabularnewline
Residuals & 150 & 15722.251 & 104.815 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=224276&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]MVIQ
[/C][C]2[/C][C]1369.984[/C][C]684.992[/C][C]6.535[/C][C]0.002[/C][/ROW]
[ROW][C]Residuals[/C][C]150[/C][C]15722.251[/C][C]104.815[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=224276&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=224276&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MVIQ 21369.984684.9926.5350.002
Residuals15015722.251104.815







Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-15.7040.08711.320.046
3-18.4462.9113.9830.001
3-22.742-1.5817.0650.293

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & 5.704 & 0.087 & 11.32 & 0.046 \tabularnewline
3-1 & 8.446 & 2.91 & 13.983 & 0.001 \tabularnewline
3-2 & 2.742 & -1.581 & 7.065 & 0.293 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=224276&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]5.704[/C][C]0.087[/C][C]11.32[/C][C]0.046[/C][/ROW]
[ROW][C]3-1[/C][C]8.446[/C][C]2.91[/C][C]13.983[/C][C]0.001[/C][/ROW]
[ROW][C]3-2[/C][C]2.742[/C][C]-1.581[/C][C]7.065[/C][C]0.293[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=224276&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=224276&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-15.7040.08711.320.046
3-18.4462.9113.9830.001
3-22.742-1.5817.0650.293







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group21.7130.184
150

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 1.713 & 0.184 \tabularnewline
  & 150 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=224276&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]1.713[/C][C]0.184[/C][/ROW]
[ROW][C] [/C][C]150[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=224276&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=224276&T=4

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group21.7130.184
150



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()
}
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<-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')