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COMPENDIUM 8

*The author of this computation has been verified*

R Software Module: Ian.Holliday/rwasp_One Factor ANOVA.wasp (opens new window with default values)

Title produced by software: One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)

Date of computation: Mon, 29 Nov 2010 00:00:48 +0000

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Nov/29/t1290988883u5arabniph7vots.htm/, Retrieved Mon, 29 Nov 2010 01:01:26 +0100

BibTeX entries for LaTeX users:

@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Nov/29/t1290988883u5arabniph7vots.htm/},
    year = {2010},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

Dataseries X:

» Textbox « » Textfile « » CSV «

36 1 36 1 56 2 48 2 32 2 44 1 39 2 34 2 41 3 50 3 39 1 62 3 52 2 37 3 50 3 41 1 55 2 41 2 56 3 39 2 52 1 46 2 44 2 48 2 41 2 50 3 50 3 44 2 52 1 54 2 44 2 52 3 37 2 52 3 50 3 36 1 50 1 52 3 55 3 31 2 36 1 49 1 42 1 37 2 41 2 30 1 52 1 30 3 41 2 44 1 66 2 48 3 43 2 57 2 46 1 54 3 48 3 48 2 52 1 62 1 58 3 58 2 62 2 48 2 46 2 34 1 66 2 52 3 55 2 55 1 57 3 56 1 55 2 56 3 54 1 55 3 46 2 52 1 32 2 44 1 46 2 59 2 46 3 46 3 54 3 66 3 56 2 59 2 57 2 52 3 48 1 44 1 41 2 50 1 48 3 48 2 59 2 34 46 2 54 2 55 2 54 3 59 2 44 2 54 3 52 3 66 3 44 2 57 2 39 1 60 3 45 2 41 2 50 2 39 2 43 2 48 2 37 2 58 2 46 1 43 1 44 2 34 3 30 1 50 3 39 1 37 2 55 2 48 3 41 39 1 36 3 43 2 50 3 55 2 43 2 60 3 48 2 30 3 43 2 39 1 52 2 39 1 39 1 56 1 59 1 46 2 57 2 50 2 54 1 50 3 60 3 59 3 41 2 48 1 59 2 60 3 56 2 56 2 51 1

Output produced by software:

Enter (or paste) a matrix (table) containing all data (time) series. Every column represents a different variable and must be delimited by a space or Tab. Every row represents a period in time (or category) and must be delimited by hard returns. The easiest way to enter data is to copy and paste a block of spreadsheet cells. Please, do not use commas or spaces to seperate groups of digits!

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	5 seconds
R Server	'George Udny Yule' @ 72.249.76.132

ANOVA Model
MC30VRB ~ MWARM30
means	45.838	2.526	5.051	-42.838	-43.838	-44.338	-43.505	-43.338	-44.338	-43.838	-42.838	-27.838	-43.838	-44.338	-42.838	-43.838	-43.838	-43.838	-43.838	-42.838	-44.838	-42.838

ANOVA Statistics
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
MWARM30	21	53365.217	2541.201	38.176	0
Residuals	138	9185.977	66.565

Tukey Honest Significant Difference Comparisons
	diff	lwr	upr	p adj
2-1	2.526	-3.833	8.885	0.998
3-1	5.051	-1.95	12.053	0.523
30-1	-42.838	-73.147	-12.529	0
34-1	-43.838	-74.147	-13.529	0
37-1	-44.338	-66.05	-22.626	0
39-1	-43.505	-61.458	-25.551	0
41-1	-43.338	-65.05	-21.626	0
43-1	-44.338	-66.05	-22.626	0
44-1	-43.838	-61.791	-25.884	0
45-1	-42.838	-73.147	-12.529	0
46-1	-27.838	-49.55	-6.126	0.001
48-1	-43.838	-65.55	-22.126	0
50-1	-44.338	-66.05	-22.626	0
52-1	-42.838	-73.147	-12.529	0
54-1	-43.838	-61.791	-25.884	0
55-1	-43.838	-65.55	-22.126	0
57-1	-43.838	-74.147	-13.529	0
58-1	-43.838	-74.147	-13.529	0
59-1	-42.838	-73.147	-12.529	0
60-1	-44.838	-75.147	-14.529	0
66-1	-42.838	-73.147	-12.529	0
3-2	2.525	-3.886	8.937	0.998
30-2	-45.364	-75.542	-15.185	0
34-2	-46.364	-76.542	-16.185	0
37-2	-46.864	-68.393	-25.335	0
39-2	-46.03	-63.762	-28.298	0
41-2	-45.864	-67.393	-24.335	0
43-2	-46.864	-68.393	-25.335	0
44-2	-46.364	-64.096	-28.632	0
45-2	-45.364	-75.542	-15.185	0
46-2	-30.364	-51.893	-8.835	0
48-2	-46.364	-67.893	-24.835	0
50-2	-46.864	-68.393	-25.335	0
52-2	-45.364	-75.542	-15.185	0
54-2	-46.364	-64.096	-28.632	0
55-2	-46.364	-67.893	-24.835	0
57-2	-46.364	-76.542	-16.185	0
58-2	-46.364	-76.542	-16.185	0
59-2	-45.364	-75.542	-15.185	0
60-2	-47.364	-77.542	-17.185	0
66-2	-45.364	-75.542	-15.185	0
30-3	-47.889	-78.209	-17.569	0
34-3	-48.889	-79.209	-18.569	0
37-3	-49.389	-71.116	-27.661	0
39-3	-48.556	-66.528	-30.583	0
41-3	-48.389	-70.116	-26.661	0
43-3	-49.389	-71.116	-27.661	0
44-3	-48.889	-66.861	-30.917	0
45-3	-47.889	-78.209	-17.569	0
46-3	-32.889	-54.616	-11.161	0
48-3	-48.889	-70.616	-27.161	0
50-3	-49.389	-71.116	-27.661	0
52-3	-47.889	-78.209	-17.569	0
54-3	-48.889	-66.861	-30.917	0
55-3	-48.889	-70.616	-27.161	0
57-3	-48.889	-79.209	-18.569	0
58-3	-48.889	-79.209	-18.569	0
59-3	-47.889	-78.209	-17.569	0
60-3	-49.889	-80.209	-19.569	0
66-3	-47.889	-78.209	-17.569	0
34-30	-1	-43.296	41.296	1
37-30	-1.5	-38.129	35.129	1
39-30	-0.667	-35.201	33.868	1
41-30	-0.5	-37.129	36.129	1
43-30	-1.5	-38.129	35.129	1
44-30	-1	-35.534	33.534	1
45-30	0	-42.296	42.296	1
46-30	15	-21.629	51.629	0.997
48-30	-1	-37.629	35.629	1
50-30	-1.5	-38.129	35.129	1
52-30	0	-42.296	42.296	1
54-30	-1	-35.534	33.534	1
55-30	-1	-37.629	35.629	1
57-30	-1	-43.296	41.296	1
58-30	-1	-43.296	41.296	1
59-30	0	-42.296	42.296	1
60-30	-2	-44.296	40.296	1
66-30	0	-42.296	42.296	1
37-34	-0.5	-37.129	36.129	1
39-34	0.333	-34.201	34.868	1
41-34	0.5	-36.129	37.129	1
43-34	-0.5	-37.129	36.129	1
44-34	0	-34.534	34.534	1
45-34	1	-41.296	43.296	1
46-34	16	-20.629	52.629	0.992
48-34	0	-36.629	36.629	1
50-34	-0.5	-37.129	36.129	1
52-34	1	-41.296	43.296	1
54-34	0	-34.534	34.534	1
55-34	0	-36.629	36.629	1
57-34	0	-42.296	42.296	1
58-34	0	-42.296	42.296	1
59-34	1	-41.296	43.296	1
60-34	-1	-43.296	41.296	1
66-34	1	-41.296	43.296	1
39-37	0.833	-26.469	28.135	1
41-37	1	-28.908	30.908	1
43-37	0	-29.908	29.908	1
44-37	0.5	-26.802	27.802	1
45-37	1.5	-35.129	38.129	1
46-37	16.5	-13.408	46.408	0.914
48-37	0.5	-29.408	30.408	1
50-37	0	-29.908	29.908	1
52-37	1.5	-35.129	38.129	1
54-37	0.5	-26.802	27.802	1
55-37	0.5	-29.408	30.408	1
57-37	0.5	-36.129	37.129	1
58-37	0.5	-36.129	37.129	1
59-37	1.5	-35.129	38.129	1
60-37	-0.5	-37.129	36.129	1
66-37	1.5	-35.129	38.129	1
41-39	0.167	-27.135	27.469	1
43-39	-0.833	-28.135	26.469	1
44-39	-0.333	-24.753	24.086	1
45-39	0.667	-33.868	35.201	1
46-39	15.667	-11.635	42.969	0.881
48-39	-0.333	-27.635	26.969	1
50-39	-0.833	-28.135	26.469	1
52-39	0.667	-33.868	35.201	1
54-39	-0.333	-24.753	24.086	1
55-39	-0.333	-27.635	26.969	1
57-39	-0.333	-34.868	34.201	1
58-39	-0.333	-34.868	34.201	1
59-39	0.667	-33.868	35.201	1
60-39	-1.333	-35.868	33.201	1
66-39	0.667	-33.868	35.201	1
43-41	-1	-30.908	28.908	1
44-41	-0.5	-27.802	26.802	1
45-41	0.5	-36.129	37.129	1
46-41	15.5	-14.408	45.408	0.951
48-41	-0.5	-30.408	29.408	1
50-41	-1	-30.908	28.908	1
52-41	0.5	-36.129	37.129	1
54-41	-0.5	-27.802	26.802	1
55-41	-0.5	-30.408	29.408	1
57-41	-0.5	-37.129	36.129	1
58-41	-0.5	-37.129	36.129	1
59-41	0.5	-36.129	37.129	1
60-41	-1.5	-38.129	35.129	1
66-41	0.5	-36.129	37.129	1
44-43	0.5	-26.802	27.802	1
45-43	1.5	-35.129	38.129	1
46-43	16.5	-13.408	46.408	0.914
48-43	0.5	-29.408	30.408	1
50-43	0	-29.908	29.908	1
52-43	1.5	-35.129	38.129	1
54-43	0.5	-26.802	27.802	1
55-43	0.5	-29.408	30.408	1
57-43	0.5	-36.129	37.129	1
58-43	0.5	-36.129	37.129	1
59-43	1.5	-35.129	38.129	1
60-43	-0.5	-37.129	36.129	1
66-43	1.5	-35.129	38.129	1
45-44	1	-33.534	35.534	1
46-44	16	-11.302	43.302	0.86
48-44	0	-27.302	27.302	1
50-44	-0.5	-27.802	26.802	1
52-44	1	-33.534	35.534	1
54-44	0	-24.42	24.42	1
55-44	0	-27.302	27.302	1
57-44	0	-34.534	34.534	1
58-44	0	-34.534	34.534	1
59-44	1	-33.534	35.534	1
60-44	-1	-35.534	33.534	1
66-44	1	-33.534	35.534	1
46-45	15	-21.629	51.629	0.997
48-45	-1	-37.629	35.629	1
50-45	-1.5	-38.129	35.129	1
52-45	0	-42.296	42.296	1
54-45	-1	-35.534	33.534	1
55-45	-1	-37.629	35.629	1
57-45	-1	-43.296	41.296	1
58-45	-1	-43.296	41.296	1
59-45	0	-42.296	42.296	1
60-45	-2	-44.296	40.296	1
66-45	0	-42.296	42.296	1
48-46	-16	-45.908	13.908	0.935
50-46	-16.5	-46.408	13.408	0.914
52-46	-15	-51.629	21.629	0.997
54-46	-16	-43.302	11.302	0.86
55-46	-16	-45.908	13.908	0.935
57-46	-16	-52.629	20.629	0.992
58-46	-16	-52.629	20.629	0.992
59-46	-15	-51.629	21.629	0.997
60-46	-17	-53.629	19.629	0.985
66-46	-15	-51.629	21.629	0.997
50-48	-0.5	-30.408	29.408	1
52-48	1	-35.629	37.629	1
54-48	0	-27.302	27.302	1
55-48	0	-29.908	29.908	1
57-48	0	-36.629	36.629	1
58-48	0	-36.629	36.629	1
59-48	1	-35.629	37.629	1
60-48	-1	-37.629	35.629	1
66-48	1	-35.629	37.629	1
52-50	1.5	-35.129	38.129	1
54-50	0.5	-26.802	27.802	1
55-50	0.5	-29.408	30.408	1
57-50	0.5	-36.129	37.129	1
58-50	0.5	-36.129	37.129	1
59-50	1.5	-35.129	38.129	1
60-50	-0.5	-37.129	36.129	1
66-50	1.5	-35.129	38.129	1
54-52	-1	-35.534	33.534	1
55-52	-1	-37.629	35.629	1
57-52	-1	-43.296	41.296	1
58-52	-1	-43.296	41.296	1
59-52	0	-42.296	42.296	1
60-52	-2	-44.296	40.296	1
66-52	0	-42.296	42.296	1
55-54	0	-27.302	27.302	1
57-54	0	-34.534	34.534	1
58-54	0	-34.534	34.534	1
59-54	1	-33.534	35.534	1
60-54	-1	-35.534	33.534	1
66-54	1	-33.534	35.534	1
57-55	0	-36.629	36.629	1
58-55	0	-36.629	36.629	1
59-55	1	-35.629	37.629	1
60-55	-1	-37.629	35.629	1
66-55	1	-35.629	37.629	1
58-57	0	-42.296	42.296	1
59-57	1	-41.296	43.296	1
60-57	-1	-43.296	41.296	1
66-57	1	-41.296	43.296	1
59-58	1	-41.296	43.296	1
60-58	-1	-43.296	41.296	1
66-58	1	-41.296	43.296	1
60-59	-2	-44.296	40.296	1
66-59	0	-42.296	42.296	1
66-60	2	-40.296	44.296	1

Levenes Test for Homogeneity of Variance
	Df	F value	Pr(>F)
Group	21	2.84	0
	138

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/Nov/29/t1290988883u5arabniph7vots/3724z1290988842.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Nov/29/t1290988883u5arabniph7vots/3724z1290988842.ps (open in new window)

http://www.freestatistics.org/blog/date/2010/Nov/29/t1290988883u5arabniph7vots/4724z1290988842.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Nov/29/t1290988883u5arabniph7vots/4724z1290988842.ps (open in new window)

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')

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa

Disclaimer

Information provided on this web site is provided "AS IS" without warranty of any kind, either express or implied, including, without limitation, warranties of merchantability, fitness for a particular purpose, and noninfringement. We use reasonable efforts to include accurate and timely information and periodically update the information, and software without notice. However, we make no warranties or representations as to the accuracy or completeness of such information (or software), and we assume no liability or responsibility for errors or omissions in the content of this web site, or any software bugs in online applications. Your use of this web site is AT YOUR OWN RISK. Under no circumstances and under no legal theory shall we be liable to you or any other person for any direct, indirect, special, incidental, exemplary, or consequential damages arising from your access to, or use of, this web site.

We may request personal information to be submitted to our servers in order to be able to:

personalize online software applications according to your needs
enforce strict security rules with respect to the data that you upload (e.g. statistical data)
manage user sessions of online applications
alert you about important changes or upgrades in resources or applications

We NEVER allow other companies to directly offer registered users information about their products and services. Banner references and hyperlinks of third parties NEVER contain any personal data of the visitor.

We do NOT sell, nor transmit by any means, personal information, nor statistical data series uploaded by you to third parties.

We carefully protect your data from loss, misuse, alteration, and destruction. However, at any time, and under any circumstance you are solely responsible for managing your passwords, and keeping them secret.

We store a unique ANONYMOUS USER ID in the form of a small 'Cookie' on your computer. This allows us to track your progress when using this website which is necessary to create state-dependent features. The cookie is used for NO OTHER PURPOSE. At any time you may opt to disallow cookies from this website - this will not affect other features of this website.

We examine cookies that are used by third-parties (banner and online ads) very closely: abuse from third-parties automatically results in termination of the advertising contract without refund. We have very good reason to believe that the cookies that are produced by third parties (banner ads) do NOT cause any privacy or security risk.

FreeStatistics.org is safe. There is no need to download any software to use the applications and services contained in this website. Hence, your system's security is not compromised by their use, and your personal data - other than data you submit in the account application form, and the user-agent information that is transmitted by your browser - is never transmitted to our servers.

As a general rule, we do not log on-line behavior of individuals (other than normal logging of webserver 'hits'). However, in cases of abuse, hacking, unauthorized access, Denial of Service attacks, illegal copying, hotlinking, non-compliance with international webstandards (such as robots.txt), or any other harmful behavior, our system engineers are empowered to log, track, identify, publish, and ban misbehaving individuals - even if this leads to ban entire blocks of IP addresses, or disclosing user's identity.

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