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com week 5

*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: Sun, 28 Nov 2010 23:54:19 +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/t1290988464akw6mc9h0dhys1n.htm/, Retrieved Mon, 29 Nov 2010 00:54:26 +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/t1290988464akw6mc9h0dhys1n.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 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 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 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 2 46 2 57 2 50 2 54 1 50 3 60 3 59 3 41 2 48 1 59 2 60 2 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	4 seconds
R Server	'George Udny Yule' @ 72.249.76.132

ANOVA Model
MC30VRB ~ MWARM30
means	45.472	3.304	5.175	-42.472	-43.472	-44.472	-43.139	-42.972	-43.972	-43.472	-42.472	-27.472	-43.472	-43.972	-42.472	-43.472	-43.472	-43.472	-43.472	-42.472	-44.472	-42.472

ANOVA Statistics
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
MWARM30	21	53463.785	2545.895	38.343	0
Residuals	138	9162.99	66.398

Tukey Honest Significant Difference Comparisons
	diff	lwr	upr	p adj
2-1	3.304	-3.034	9.641	0.949
3-1	5.175	-1.968	12.318	0.514
30-1	-42.472	-72.755	-12.19	0
34-1	-43.472	-73.755	-13.19	0
37-1	-44.472	-66.172	-22.772	0
39-1	-43.139	-61.089	-25.189	0
41-1	-42.972	-64.672	-21.272	0
43-1	-43.972	-65.672	-22.272	0
44-1	-43.472	-61.422	-25.522	0
45-1	-42.472	-72.755	-12.19	0
46-1	-27.472	-49.172	-5.772	0.002
48-1	-43.472	-65.172	-21.772	0
50-1	-43.972	-65.672	-22.272	0
52-1	-42.472	-72.755	-12.19	0
54-1	-43.472	-61.422	-25.522	0
55-1	-43.472	-65.172	-21.772	0
57-1	-43.472	-73.755	-13.19	0
58-1	-43.472	-73.755	-13.19	0
59-1	-42.472	-72.755	-12.19	0
60-1	-44.472	-74.755	-14.19	0
66-1	-42.472	-72.755	-12.19	0
3-2	1.871	-4.581	8.323	1
30-2	-45.776	-75.903	-15.649	0
34-2	-46.776	-76.903	-16.649	0
37-2	-47.776	-69.258	-26.293	0
39-2	-46.443	-64.129	-28.757	0
41-2	-46.276	-67.758	-24.793	0
43-2	-47.276	-68.758	-25.793	0
44-2	-46.776	-64.462	-29.09	0
45-2	-45.776	-75.903	-15.649	0
46-2	-30.776	-52.258	-9.293	0
48-2	-46.776	-68.258	-25.293	0
50-2	-47.276	-68.758	-25.793	0
52-2	-45.776	-75.903	-15.649	0
54-2	-46.776	-64.462	-29.09	0
55-2	-46.776	-68.258	-25.293	0
57-2	-46.776	-76.903	-16.649	0
58-2	-46.776	-76.903	-16.649	0
59-2	-45.776	-75.903	-15.649	0
60-2	-47.776	-77.903	-17.649	0
66-2	-45.776	-75.903	-15.649	0
30-3	-47.647	-77.953	-17.341	0
34-3	-48.647	-78.953	-18.341	0
37-3	-49.647	-71.381	-27.913	0
39-3	-48.314	-66.304	-30.323	0
41-3	-48.147	-69.881	-26.413	0
43-3	-49.147	-70.881	-27.413	0
44-3	-48.647	-66.637	-30.657	0
45-3	-47.647	-77.953	-17.341	0
46-3	-32.647	-54.381	-10.913	0
48-3	-48.647	-70.381	-26.913	0
50-3	-49.147	-70.881	-27.413	0
52-3	-47.647	-77.953	-17.341	0
54-3	-48.647	-66.637	-30.657	0
55-3	-48.647	-70.381	-26.913	0
57-3	-48.647	-78.953	-18.341	0
58-3	-48.647	-78.953	-18.341	0
59-3	-47.647	-77.953	-17.341	0
60-3	-49.647	-79.953	-19.341	0
66-3	-47.647	-77.953	-17.341	0
34-30	-1	-43.243	41.243	1
37-30	-2	-38.583	34.583	1
39-30	-0.667	-35.158	33.825	1
41-30	-0.5	-37.083	36.083	1
43-30	-1.5	-38.083	35.083	1
44-30	-1	-35.491	33.491	1
45-30	0	-42.243	42.243	1
46-30	15	-21.583	51.583	0.997
48-30	-1	-37.583	35.583	1
50-30	-1.5	-38.083	35.083	1
52-30	0	-42.243	42.243	1
54-30	-1	-35.491	33.491	1
55-30	-1	-37.583	35.583	1
57-30	-1	-43.243	41.243	1
58-30	-1	-43.243	41.243	1
59-30	0	-42.243	42.243	1
60-30	-2	-44.243	40.243	1
66-30	0	-42.243	42.243	1
37-34	-1	-37.583	35.583	1
39-34	0.333	-34.158	34.825	1
41-34	0.5	-36.083	37.083	1
43-34	-0.5	-37.083	36.083	1
44-34	0	-34.491	34.491	1
45-34	1	-41.243	43.243	1
46-34	16	-20.583	52.583	0.992
48-34	0	-36.583	36.583	1
50-34	-0.5	-37.083	36.083	1
52-34	1	-41.243	43.243	1
54-34	0	-34.491	34.491	1
55-34	0	-36.583	36.583	1
57-34	0	-42.243	42.243	1
58-34	0	-42.243	42.243	1
59-34	1	-41.243	43.243	1
60-34	-1	-43.243	41.243	1
66-34	1	-41.243	43.243	1
39-37	1.333	-25.934	28.601	1
41-37	1.5	-28.37	31.37	1
43-37	0.5	-29.37	30.37	1
44-37	1	-26.268	28.268	1
45-37	2	-34.583	38.583	1
46-37	17	-12.87	46.87	0.889
48-37	1	-28.87	30.87	1
50-37	0.5	-29.37	30.37	1
52-37	2	-34.583	38.583	1
54-37	1	-26.268	28.268	1
55-37	1	-28.87	30.87	1
57-37	1	-35.583	37.583	1
58-37	1	-35.583	37.583	1
59-37	2	-34.583	38.583	1
60-37	0	-36.583	36.583	1
66-37	2	-34.583	38.583	1
41-39	0.167	-27.101	27.434	1
43-39	-0.833	-28.101	26.434	1
44-39	-0.333	-24.722	24.056	1
45-39	0.667	-33.825	35.158	1
46-39	15.667	-11.601	42.934	0.88
48-39	-0.333	-27.601	26.934	1
50-39	-0.833	-28.101	26.434	1
52-39	0.667	-33.825	35.158	1
54-39	-0.333	-24.722	24.056	1
55-39	-0.333	-27.601	26.934	1
57-39	-0.333	-34.825	34.158	1
58-39	-0.333	-34.825	34.158	1
59-39	0.667	-33.825	35.158	1
60-39	-1.333	-35.825	33.158	1
66-39	0.667	-33.825	35.158	1
43-41	-1	-30.87	28.87	1
44-41	-0.5	-27.768	26.768	1
45-41	0.5	-36.083	37.083	1
46-41	15.5	-14.37	45.37	0.951
48-41	-0.5	-30.37	29.37	1
50-41	-1	-30.87	28.87	1
52-41	0.5	-36.083	37.083	1
54-41	-0.5	-27.768	26.768	1
55-41	-0.5	-30.37	29.37	1
57-41	-0.5	-37.083	36.083	1
58-41	-0.5	-37.083	36.083	1
59-41	0.5	-36.083	37.083	1
60-41	-1.5	-38.083	35.083	1
66-41	0.5	-36.083	37.083	1
44-43	0.5	-26.768	27.768	1
45-43	1.5	-35.083	38.083	1
46-43	16.5	-13.37	46.37	0.913
48-43	0.5	-29.37	30.37	1
50-43	0	-29.87	29.87	1
52-43	1.5	-35.083	38.083	1
54-43	0.5	-26.768	27.768	1
55-43	0.5	-29.37	30.37	1
57-43	0.5	-36.083	37.083	1
58-43	0.5	-36.083	37.083	1
59-43	1.5	-35.083	38.083	1
60-43	-0.5	-37.083	36.083	1
66-43	1.5	-35.083	38.083	1
45-44	1	-33.491	35.491	1
46-44	16	-11.268	43.268	0.858
48-44	0	-27.268	27.268	1
50-44	-0.5	-27.768	26.768	1
52-44	1	-33.491	35.491	1
54-44	0	-24.389	24.389	1
55-44	0	-27.268	27.268	1
57-44	0	-34.491	34.491	1
58-44	0	-34.491	34.491	1
59-44	1	-33.491	35.491	1
60-44	-1	-35.491	33.491	1
66-44	1	-33.491	35.491	1
46-45	15	-21.583	51.583	0.997
48-45	-1	-37.583	35.583	1
50-45	-1.5	-38.083	35.083	1
52-45	0	-42.243	42.243	1
54-45	-1	-35.491	33.491	1
55-45	-1	-37.583	35.583	1
57-45	-1	-43.243	41.243	1
58-45	-1	-43.243	41.243	1
59-45	0	-42.243	42.243	1
60-45	-2	-44.243	40.243	1
66-45	0	-42.243	42.243	1
48-46	-16	-45.87	13.87	0.934
50-46	-16.5	-46.37	13.37	0.913
52-46	-15	-51.583	21.583	0.997
54-46	-16	-43.268	11.268	0.858
55-46	-16	-45.87	13.87	0.934
57-46	-16	-52.583	20.583	0.992
58-46	-16	-52.583	20.583	0.992
59-46	-15	-51.583	21.583	0.997
60-46	-17	-53.583	19.583	0.984
66-46	-15	-51.583	21.583	0.997
50-48	-0.5	-30.37	29.37	1
52-48	1	-35.583	37.583	1
54-48	0	-27.268	27.268	1
55-48	0	-29.87	29.87	1
57-48	0	-36.583	36.583	1
58-48	0	-36.583	36.583	1
59-48	1	-35.583	37.583	1
60-48	-1	-37.583	35.583	1
66-48	1	-35.583	37.583	1
52-50	1.5	-35.083	38.083	1
54-50	0.5	-26.768	27.768	1
55-50	0.5	-29.37	30.37	1
57-50	0.5	-36.083	37.083	1
58-50	0.5	-36.083	37.083	1
59-50	1.5	-35.083	38.083	1
60-50	-0.5	-37.083	36.083	1
66-50	1.5	-35.083	38.083	1
54-52	-1	-35.491	33.491	1
55-52	-1	-37.583	35.583	1
57-52	-1	-43.243	41.243	1
58-52	-1	-43.243	41.243	1
59-52	0	-42.243	42.243	1
60-52	-2	-44.243	40.243	1
66-52	0	-42.243	42.243	1
55-54	0	-27.268	27.268	1
57-54	0	-34.491	34.491	1
58-54	0	-34.491	34.491	1
59-54	1	-33.491	35.491	1
60-54	-1	-35.491	33.491	1
66-54	1	-33.491	35.491	1
57-55	0	-36.583	36.583	1
58-55	0	-36.583	36.583	1
59-55	1	-35.583	37.583	1
60-55	-1	-37.583	35.583	1
66-55	1	-35.583	37.583	1
58-57	0	-42.243	42.243	1
59-57	1	-41.243	43.243	1
60-57	-1	-43.243	41.243	1
66-57	1	-41.243	43.243	1
59-58	1	-41.243	43.243	1
60-58	-1	-43.243	41.243	1
66-58	1	-41.243	43.243	1
60-59	-2	-44.243	40.243	1
66-59	0	-42.243	42.243	1
66-60	2	-40.243	44.243	1

Levenes Test for Homogeneity of Variance
	Df	F value	Pr(>F)
Group	21	2.866	0
	138

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/Nov/29/t1290988464akw6mc9h0dhys1n/3de5k1290988454.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Nov/29/t1290988464akw6mc9h0dhys1n/3de5k1290988454.ps (open in new window)

http://www.freestatistics.org/blog/date/2010/Nov/29/t1290988464akw6mc9h0dhys1n/4de5k1290988454.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Nov/29/t1290988464akw6mc9h0dhys1n/4de5k1290988454.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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