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workshop 9

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

Date of computation: Thu, 03 Dec 2009 14:48:13 +0100

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Dec/03/t12598481429uimxrpl7jbflth.htm/, Retrieved Thu, 03 Dec 2009 14:49:03 +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/2009/Dec/03/t12598481429uimxrpl7jbflth.htm/},
    year = {2009},
}
@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 = {2009},
    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 2 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 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 1 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	2 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk

ANOVA Model
MC30VRB ~ MWARM
means	44.879	2.938	6.407	-42.879	-43.879	-33.379	-41.879	-42.212	-43.879	-42.379	-43.212	-42.879	-43.879	-42.879	-41.879	-42.879	-42.879	-43.212	-42.545

ANOVA Statistics
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
MWARM	18	51072.016	2837.334	41.674	0
Residuals	140	9531.808	68.084

Tukey Honest Significant Difference Comparisons
	diff	lwr	upr	p adj
2-1	2.938	-3.473	9.349	0.979
3-1	6.407	-0.77	13.584	0.144
30-1	-42.879	-72.904	-12.854	0
36-1	-43.879	-65.42	-22.338	0
39-1	-33.379	-49.04	-17.718	0
41-1	-41.879	-71.904	-11.854	0
43-1	-42.212	-60.05	-24.374	0
46-1	-43.879	-73.904	-13.854	0
48-1	-42.379	-63.92	-20.838	0
50-1	-43.212	-61.05	-25.374	0
51-1	-42.879	-72.904	-12.854	0
52-1	-43.879	-73.904	-13.854	0
54-1	-42.879	-72.904	-12.854	0
55-1	-41.879	-71.904	-11.854	0
56-1	-42.879	-60.716	-25.041	0
57-1	-42.879	-72.904	-12.854	0
59-1	-43.212	-61.05	-25.374	0
60-1	-42.545	-60.383	-24.708	0
3-2	3.469	-2.822	9.761	0.892
30-2	-45.817	-75.643	-15.991	0
36-2	-46.817	-68.079	-25.554	0
39-2	-36.317	-51.592	-21.041	0
41-2	-44.817	-74.643	-14.991	0
43-2	-45.15	-62.65	-27.65	0
46-2	-46.817	-76.643	-16.991	0
48-2	-45.317	-66.579	-24.054	0
50-2	-46.15	-63.65	-28.65	0
51-2	-45.817	-75.643	-15.991	0
52-2	-46.817	-76.643	-16.991	0
54-2	-45.817	-75.643	-15.991	0
55-2	-44.817	-74.643	-14.991	0
56-2	-45.817	-63.317	-28.317	0
57-2	-45.817	-75.643	-15.991	0
59-2	-46.15	-63.65	-28.65	0
60-2	-45.483	-62.983	-27.983	0
30-3	-49.286	-79.286	-19.286	0
36-3	-50.286	-71.792	-28.78	0
39-3	-39.786	-55.398	-24.173	0
41-3	-48.286	-78.286	-18.286	0
43-3	-48.619	-66.414	-30.824	0
46-3	-50.286	-80.286	-20.286	0
48-3	-48.786	-70.292	-27.28	0
50-3	-49.619	-67.414	-31.824	0
51-3	-49.286	-79.286	-19.286	0
52-3	-50.286	-80.286	-20.286	0
54-3	-49.286	-79.286	-19.286	0
55-3	-48.286	-78.286	-18.286	0
56-3	-49.286	-67.081	-31.491	0
57-3	-49.286	-79.286	-19.286	0
59-3	-49.619	-67.414	-31.824	0
60-3	-48.952	-66.748	-31.157	0
36-30	-1	-37.228	35.228	1
39-30	9.5	-23.572	42.572	1
41-30	1	-40.833	42.833	1
43-30	0.667	-33.49	34.823	1
46-30	-1	-42.833	40.833	1
48-30	0.5	-35.728	36.728	1
50-30	-0.333	-34.49	33.823	1
51-30	0	-41.833	41.833	1
52-30	-1	-42.833	40.833	1
54-30	0	-41.833	41.833	1
55-30	1	-40.833	42.833	1
56-30	0	-34.157	34.157	1
57-30	0	-41.833	41.833	1
59-30	-0.333	-34.49	33.823	1
60-30	0.333	-33.823	34.49	1
39-36	10.5	-15.117	36.117	0.994
41-36	2	-34.228	38.228	1
43-36	1.667	-25.336	28.67	1
46-36	0	-36.228	36.228	1
48-36	1.5	-28.08	31.08	1
50-36	0.667	-26.336	27.67	1
51-36	1	-35.228	37.228	1
52-36	0	-36.228	36.228	1
54-36	1	-35.228	37.228	1
55-36	2	-34.228	38.228	1
56-36	1	-26.003	28.003	1
57-36	1	-35.228	37.228	1
59-36	0.667	-26.336	27.67	1
60-36	1.333	-25.67	28.336	1
41-39	-8.5	-41.572	24.572	1
43-39	-8.833	-31.426	13.759	0.996
46-39	-10.5	-43.572	22.572	1
48-39	-9	-34.617	16.617	0.999
50-39	-9.833	-32.426	12.759	0.988
51-39	-9.5	-42.572	23.572	1
52-39	-10.5	-43.572	22.572	1
54-39	-9.5	-42.572	23.572	1
55-39	-8.5	-41.572	24.572	1
56-39	-9.5	-32.092	13.092	0.992
57-39	-9.5	-42.572	23.572	1
59-39	-9.833	-32.426	12.759	0.988
60-39	-9.167	-31.759	13.426	0.994
43-41	-0.333	-34.49	33.823	1
46-41	-2	-43.833	39.833	1
48-41	-0.5	-36.728	35.728	1
50-41	-1.333	-35.49	32.823	1
51-41	-1	-42.833	40.833	1
52-41	-2	-43.833	39.833	1
54-41	-1	-42.833	40.833	1
55-41	0	-41.833	41.833	1
56-41	-1	-35.157	33.157	1
57-41	-1	-42.833	40.833	1
59-41	-1.333	-35.49	32.823	1
60-41	-0.667	-34.823	33.49	1
46-43	-1.667	-35.823	32.49	1
48-43	-0.167	-27.17	26.836	1
50-43	-1	-25.152	23.152	1
51-43	-0.667	-34.823	33.49	1
52-43	-1.667	-35.823	32.49	1
54-43	-0.667	-34.823	33.49	1
55-43	0.333	-33.823	34.49	1
56-43	-0.667	-24.819	23.486	1
57-43	-0.667	-34.823	33.49	1
59-43	-1	-25.152	23.152	1
60-43	-0.333	-24.486	23.819	1
48-46	1.5	-34.728	37.728	1
50-46	0.667	-33.49	34.823	1
51-46	1	-40.833	42.833	1
52-46	0	-41.833	41.833	1
54-46	1	-40.833	42.833	1
55-46	2	-39.833	43.833	1
56-46	1	-33.157	35.157	1
57-46	1	-40.833	42.833	1
59-46	0.667	-33.49	34.823	1
60-46	1.333	-32.823	35.49	1
50-48	-0.833	-27.836	26.17	1
51-48	-0.5	-36.728	35.728	1
52-48	-1.5	-37.728	34.728	1
54-48	-0.5	-36.728	35.728	1
55-48	0.5	-35.728	36.728	1
56-48	-0.5	-27.503	26.503	1
57-48	-0.5	-36.728	35.728	1
59-48	-0.833	-27.836	26.17	1
60-48	-0.167	-27.17	26.836	1
51-50	0.333	-33.823	34.49	1
52-50	-0.667	-34.823	33.49	1
54-50	0.333	-33.823	34.49	1
55-50	1.333	-32.823	35.49	1
56-50	0.333	-23.819	24.486	1
57-50	0.333	-33.823	34.49	1
59-50	0	-24.152	24.152	1
60-50	0.667	-23.486	24.819	1
52-51	-1	-42.833	40.833	1
54-51	0	-41.833	41.833	1
55-51	1	-40.833	42.833	1
56-51	0	-34.157	34.157	1
57-51	0	-41.833	41.833	1
59-51	-0.333	-34.49	33.823	1
60-51	0.333	-33.823	34.49	1
54-52	1	-40.833	42.833	1
55-52	2	-39.833	43.833	1
56-52	1	-33.157	35.157	1
57-52	1	-40.833	42.833	1
59-52	0.667	-33.49	34.823	1
60-52	1.333	-32.823	35.49	1
55-54	1	-40.833	42.833	1
56-54	0	-34.157	34.157	1
57-54	0	-41.833	41.833	1
59-54	-0.333	-34.49	33.823	1
60-54	0.333	-33.823	34.49	1
56-55	-1	-35.157	33.157	1
57-55	-1	-42.833	40.833	1
59-55	-1.333	-35.49	32.823	1
60-55	-0.667	-34.823	33.49	1
57-56	0	-34.157	34.157	1
59-56	-0.333	-24.486	23.819	1
60-56	0.333	-23.819	24.486	1
59-57	-0.333	-34.49	33.823	1
60-57	0.333	-33.823	34.49	1
60-59	0.667	-23.486	24.819	1

Levenes Test for Homogeneity of Variance
	Df	F value	Pr(>F)
Group	18	1.819	0.028
	140

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Dec/03/t12598481429uimxrpl7jbflth/31bie1259848090.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Dec/03/t12598481429uimxrpl7jbflth/31bie1259848090.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Dec/03/t12598481429uimxrpl7jbflth/4nm9g1259848090.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Dec/03/t12598481429uimxrpl7jbflth/4nm9g1259848090.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

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