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Author's title

Author

*The author of this computation has been verified*

R Software Module

Ian.Hollidayrwasp_One Factor ANOVA.wasp

Title produced by software

Chi Square Measure of Association- Free Statistics Software (Calculator)

Date of computation

Sun, 29 Nov 2009 06:09:19 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Nov/29/t1259500243boql2hp8b5uao5o.htm/, Retrieved Thu, 14 Aug 2025 08:56:24 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=61588, Retrieved Thu, 14 Aug 2025 08:56:24 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

ANOVA PY2224 Aston University TukeyHSD

Estimated Impact

578

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] [a9208f4f8d3b118336aae915785f2bd9] [Current]
-   PD    [Chi Square Measure of Association- Free Statistics Software (Calculator)] [One Way ANOVA for...] [2009-12-01 13:05:10] [3fdd735c61ad38cbc9b3393dc997cdb7] 
- R         [Chi Square Measure of Association- Free Statistics Software (Calculator)] [VARE Data with Va...] [2009-12-01 16:37:11] [74be16979710d4c4e7c6647856088456] 
- R P       [Chi Square Measure of Association- Free Statistics Software (Calculator)] [CARE date with Tu...] [2009-12-01 18:33:48] [98fd0e87c3eb04e0cc2efde01dbafab6] 
-   P         [Chi Square Measure of Association- Free Statistics Software (Calculator)] [computation 1] [2009-12-03 12:37:16] [a430456785575c896201d80fdb248d9f] 
-   P         [Chi Square Measure of Association- Free Statistics Software (Calculator)] [] [2009-12-03 12:47:12] [82439cd473f0ddf8a88eb1802dda9b6c] 
-   P         [Chi Square Measure of Association- Free Statistics Software (Calculator)] [one way anova IQ ...] [2009-12-03 12:50:01] [ace3ddd242f59ba51a4e2f7ba8ca9d22] 
-   PD        [Chi Square Measure of Association- Free Statistics Software (Calculator)] [week 9 ] [2009-12-03 12:51:46] [ca384074e13d8ac77eea5bf691c887ff] 
-   PD        [Chi Square Measure of Association- Free Statistics Software (Calculator)] [] [2009-12-03 12:45:30] [9fd4fb5b07d65cb72d461b02d953a5ef] 
-   P         [Chi Square Measure of Association- Free Statistics Software (Calculator)] [Workshop 9] [2009-12-03 13:04:54] [d595051388917a71ceadb6354fdcb637] 
-   PD        [Chi Square Measure of Association- Free Statistics Software (Calculator)] [Workshop 9 Q2b] [2009-12-03 13:14:05] [d595051388917a71ceadb6354fdcb637] 
-   P         [Chi Square Measure of Association- Free Statistics Software (Calculator)] [] [2009-12-03 12:40:09] [21e0dc66e9338653c0fd8541e5a86956] 
-   PD        [Chi Square Measure of Association- Free Statistics Software (Calculator)] [Statsw9] [2009-12-03 13:18:50] [66f61a2d5ef80b1eafe31e5651ad0889] 
-    D          [Chi Square Measure of Association- Free Statistics Software (Calculator)] [statsw9] [2009-12-03 13:21:57] [66f61a2d5ef80b1eafe31e5651ad0889] 
-    D          [Chi Square Measure of Association- Free Statistics Software (Calculator)] [statsw9] [2009-12-03 13:38:36] [66f61a2d5ef80b1eafe31e5651ad0889] 
-    D            [Chi Square Measure of Association- Free Statistics Software (Calculator)] [statsw9] [2009-12-03 13:50:54] [66f61a2d5ef80b1eafe31e5651ad0889] 
-                   [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-05-03 16:38:19] [66f61a2d5ef80b1eafe31e5651ad0889] 
-    D          [Chi Square Measure of Association- Free Statistics Software (Calculator)] [statsw9] [2009-12-03 13:47:23] [66f61a2d5ef80b1eafe31e5651ad0889] 
-    D          [Chi Square Measure of Association- Free Statistics Software (Calculator)] [statsw9w9] [2009-12-07 12:42:00] [66f61a2d5ef80b1eafe31e5651ad0889] 
-   PD        [Chi Square Measure of Association- Free Statistics Software (Calculator)] [] [2009-12-03 13:20:01] [c92a6f82e2c829eb84d446c49982f3a5] 
-   PD        [Chi Square Measure of Association- Free Statistics Software (Calculator)] [] [2009-12-03 13:21:44] [c92a6f82e2c829eb84d446c49982f3a5] 
-   P         [Chi Square Measure of Association- Free Statistics Software (Calculator)] [Week 9 excercise ...] [2009-12-03 13:21:14] [a2ec18f77143ca7c2255feafca790c81] 
-   P         [Chi Square Measure of Association- Free Statistics Software (Calculator)] [workshop 9] [2009-12-03 13:24:26] [86674042f568b97a0cb1393bb670625c] 
-    D          [Chi Square Measure of Association- Free Statistics Software (Calculator)] [workshop 9] [2009-12-03 13:30:38] [86674042f568b97a0cb1393bb670625c] 
-   P         [Chi Square Measure of Association- Free Statistics Software (Calculator)] [Mothers age vs Ch...] [2009-12-03 13:23:06] [226e457c23f16abdaf22fe48e6e411fd] 
-   P         [Chi Square Measure of Association- Free Statistics Software (Calculator)] [Week9Q1a] [2009-12-03 13:27:06] [68b4a0d51ad214b1a79d67393064cb7e] 
-   P         [Chi Square Measure of Association- Free Statistics Software (Calculator)] [blah] [2009-12-03 13:28:04] [256a42577f5eb7e9c8a1b74c73a90fa8] 
-   PD        [Chi Square Measure of Association- Free Statistics Software (Calculator)] [WEEK 9 EXCERCISE ...] [2009-12-03 13:29:07] [a2ec18f77143ca7c2255feafca790c81] 
-   PD        [Chi Square Measure of Association- Free Statistics Software (Calculator)] [comp9, 1] [2009-12-03 13:29:22] [e8bb49267f0b4e611f4778412d0811f2] 
-    D          [Chi Square Measure of Association- Free Statistics Software (Calculator)] [comp 9, 2] [2009-12-03 13:38:11] [e8bb49267f0b4e611f4778412d0811f2] 
-    D            [Chi Square Measure of Association- Free Statistics Software (Calculator)] [comp 3, 3] [2009-12-03 13:47:54] [e8bb49267f0b4e611f4778412d0811f2] 
-    D              [Chi Square Measure of Association- Free Statistics Software (Calculator)] [comp 3, 4] [2009-12-03 13:50:36] [e8bb49267f0b4e611f4778412d0811f2] 
-    D                [Chi Square Measure of Association- Free Statistics Software (Calculator)] [comp 9, 5] [2009-12-10 13:30:01] [e8bb49267f0b4e611f4778412d0811f2] 
-    D                  [Chi Square Measure of Association- Free Statistics Software (Calculator)] [comp 9, 6] [2009-12-10 13:34:41] [e8bb49267f0b4e611f4778412d0811f2] 
-    D                  [Chi Square Measure of Association- Free Statistics Software (Calculator)] [comp 9, 6] [2009-12-10 13:34:41] [e8bb49267f0b4e611f4778412d0811f2] 
-    D                  [Chi Square Measure of Association- Free Statistics Software (Calculator)] [comp 9, 6] [2009-12-10 13:34:41] [e8bb49267f0b4e611f4778412d0811f2] 
-   P         [Chi Square Measure of Association- Free Statistics Software (Calculator)] [] [2009-12-03 13:28:39] [bc03f19b1cbb14de25d671293ac6c773] 
-   PD        [Chi Square Measure of Association- Free Statistics Software (Calculator)] [] [2009-12-03 13:32:04] [226e457c23f16abdaf22fe48e6e411fd] 
-   PD        [Chi Square Measure of Association- Free Statistics Software (Calculator)] [Anova1] [2009-12-03 13:31:22] [4edce1892c378475bb20c4acd224a51d] 
-   P         [Chi Square Measure of Association- Free Statistics Software (Calculator)] [Wk9Q1a] [2009-12-03 13:31:30] [68b4a0d51ad214b1a79d67393064cb7e] 
-   PD        [Chi Square Measure of Association- Free Statistics Software (Calculator)] [] [2009-12-03 13:27:30] [9fd4fb5b07d65cb72d461b02d953a5ef] 
-   P         [Chi Square Measure of Association- Free Statistics Software (Calculator)] [Question 1] [2009-12-03 13:30:42] [efb93495a892eea584966de4a02d2ce4] 
-   PD        [Chi Square Measure of Association- Free Statistics Software (Calculator)] [WK9 EX1A] [2009-12-03 13:33:22] [f0a7b9ce333a507984a56d87311bd9a6] 
-   P         [Chi Square Measure of Association- Free Statistics Software (Calculator)] [] [2009-12-03 13:30:38] [a120050d9c71216a504f7d26958aa6f2] 
-               [Chi Square Measure of Association- Free Statistics Software (Calculator)] [Comparing whether...] [2009-12-14 21:05:31] [9ec8625bcd2de623b0f5cf28f1a68bfc] 
-   P         [Chi Square Measure of Association- Free Statistics Software (Calculator)] [Comparison 1 - we...] [2009-12-03 13:33:57] [cb1b5098fbe5e6779d164349741d91ea] 
-   PD        [Chi Square Measure of Association- Free Statistics Software (Calculator)] [Workshop 9  Quest...] [2009-12-03 13:34:15] [d595051388917a71ceadb6354fdcb637] 
-    D          [Chi Square Measure of Association- Free Statistics Software (Calculator)] [Workshop 9  ] [2009-12-03 13:47:17] [d595051388917a71ceadb6354fdcb637] 
-   PD        [Chi Square Measure of Association- Free Statistics Software (Calculator)] [statsw9] [2009-12-03 13:34:39] [66f61a2d5ef80b1eafe31e5651ad0889] 

[Truncated]

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Dataseries X:

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Histogram

Boxplots

0.1760	'Control'
-0.448	'Control'
1.1900	'Control'
0.6300	'Control'
0.7990	'Control'
-1.093	'Control'
-1.239	'Control'
1.1670	'Control'
1.1140	'TreatA'
1.6790	'TreatA'
2.4370	'TreatA'
1.3040	'TreatA'
2.0880	'TreatA'
1.5060	'TreatA'
2.5140	'TreatA'
1.4460	'TreatA'
-0.235	'TreatB'
1.8730	'TreatB'
-0.230	'TreatB'
-0.421	'TreatB'
2.0940	'TreatB'
-0.207	'TreatB'
-0.822	'TreatB'
2.2300	'TreatB'

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 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=61588&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=61588&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61588&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

ANOVA Model
Response ~ Treatment
means	0.148	1.613	0.387

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Response ~ Treatment \tabularnewline
means & 0.148 & 1.613 & 0.387 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61588&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Response ~ Treatment[/C][/ROW]
[ROW][C]means[/C][C]0.148[/C][C]1.613[/C][C]0.387[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61588&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61588&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
Response ~ Treatment
means	0.148	1.613	0.387

ANOVA Statistics
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
Treatment	2	11.347	5.674	5.925	0.009
Residuals	21	20.107	0.957

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Treatment & 2 & 11.347 & 5.674 & 5.925 & 0.009 \tabularnewline
Residuals & 21 & 20.107 & 0.957 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61588&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]Treatment[/C][C]2[/C][C]11.347[/C][C]5.674[/C][C]5.925[/C][C]0.009[/C][/ROW]
[ROW][C]Residuals[/C][C]21[/C][C]20.107[/C][C]0.957[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61588&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61588&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
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
Treatment	2	11.347	5.674	5.925	0.009
Residuals	21	20.107	0.957

Tukey Honest Significant Difference Comparisons
	diff	lwr	upr	p adj
TreatA-Control	1.613	0.38	2.846	0.009
TreatB-Control	0.387	-0.846	1.621	0.712
TreatB-TreatA	-1.226	-2.459	0.007	0.052

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
TreatA-Control & 1.613 & 0.38 & 2.846 & 0.009 \tabularnewline
TreatB-Control & 0.387 & -0.846 & 1.621 & 0.712 \tabularnewline
TreatB-TreatA & -1.226 & -2.459 & 0.007 & 0.052 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61588&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]TreatA-Control[/C][C]1.613[/C][C]0.38[/C][C]2.846[/C][C]0.009[/C][/ROW]
[ROW][C]TreatB-Control[/C][C]0.387[/C][C]-0.846[/C][C]1.621[/C][C]0.712[/C][/ROW]
[ROW][C]TreatB-TreatA[/C][C]-1.226[/C][C]-2.459[/C][C]0.007[/C][C]0.052[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61588&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61588&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
	diff	lwr	upr	p adj
TreatA-Control	1.613	0.38	2.846	0.009
TreatB-Control	0.387	-0.846	1.621	0.712
TreatB-TreatA	-1.226	-2.459	0.007	0.052

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

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$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, lmxdf$call['formula'],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$coefficients[i], digits=3),,FALSE)
}
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Statistics', 5+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ',,TRUE)
a<-table.element(a, 'Df',,FALSE)
a<-table.element(a, 'Sum Sq',,FALSE)
a<-table.element(a, 'Mean Sq',,FALSE)
a<-table.element(a, 'F value',,FALSE)
a<-table.element(a, 'Pr(>F)',,FALSE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Treatment',,TRUE)
a<-table.element(a, anova.xdf$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')
}

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code