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compendium 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: Mon, 14 Dec 2009 15:51:08 -0700

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/14/t126083116528y262kbitxhjnb.htm/, Retrieved Mon, 14 Dec 2009 23:52:48 +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/14/t126083116528y262kbitxhjnb.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 «

67 1 86 1 86 2 103 2 74 2 63 1 82 2 93 2 77 3 111 3 71 1 103 3 89 2 75 3 88 2 84 1 85 2 70 2 104 3 88 2 77 1 77 2 72 2 70 2 83 2 110 3 91 3 80 2 91 1 86 2 85 2 107 3 93 2 87 3 84 3 73 1 84 1 86 3 99 3 75 2 87 1 79 1 82 1 95 2 84 2 85 1 95 1 63 3 78 2 85 1 86 2 75 3 98 2 71 2 63 1 71 3 84 3 81 2 93 1 79 1 63 3 93 2 92 2 93 2 83 2 80 1 111 2 92 3 79 2 69 1 83 3 80 1 91 2 97 3 85 1 85 3 99 2 67 1 87 2 68 1 81 2 80 2 93 3 93 3 102 3 104 3 90 2 85 2 92 2 82 3 85 1 89 1 77 2 79 1 76 3 101 2 81 2 92 89 2 81 2 77 2 95 3 85 2 81 2 76 3 93 3 104 3 89 2 76 2 77 1 71 3 79 2 89 2 81 2 99 2 81 2 84 1 85 2 111 2 78 1 111 1 78 2 87 3 92 1 93 3 70 1 84 2 75 2 105 3 96 85 1 87 3 75 2 103 3 86 2 77 2 74 3 74 2 76 3 83 2 101 1 83 2 92 1 74 1 87 1 71 1 79 2 83 2 80 2 90 1 80 3 96 3 109 3 98 2 85 1 83 2 86 3 72 2 83 2 75 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	3 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

ANOVA Model
MVRBIQ0 ~ MWARM
means	80.351	-77.351	-78.351	-78.851	4.345	8.449	-77.351	-79.351	-78.351	-78.351	-78.351	-78.851	-77.351	-78.351	-78.851	-78.351	-78.351	-48.018	-77.351	-78.351	-78.351	-77.351	-78.351

ANOVA Statistics
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
MWARM	22	166351.462	7561.43	55.196	0
Residuals	137	18768.038	136.993

Tukey Honest Significant Difference Comparisons
	diff	lwr	upr	p adj
104-1	-77.351	-121.122	-33.58	0
105-1	-78.351	-122.122	-34.58	0
111-1	-78.851	-110.207	-47.496	0
2-1	4.345	-4.805	13.496	0.983
3-1	8.449	-1.736	18.633	0.259
70-1	-77.351	-121.122	-33.58	0
71-1	-79.351	-123.122	-35.58	0
75-1	-78.351	-122.122	-34.58	0
76-1	-78.351	-109.707	-46.996	0
77-1	-78.351	-109.707	-46.996	0
78-1	-78.851	-110.207	-47.496	0
79-1	-77.351	-121.122	-33.58	0
81-1	-78.351	-101.084	-55.618	0
84-1	-78.851	-110.207	-47.496	0
85-1	-78.351	-109.707	-46.996	0
87-1	-78.351	-122.122	-34.58	0
89-1	-48.018	-73.946	-22.09	0
92-1	-77.351	-121.122	-33.58	0
93-1	-78.351	-109.707	-46.996	0
95-1	-78.351	-122.122	-34.58	0
96-1	-77.351	-121.122	-33.58	0
99-1	-78.351	-122.122	-34.58	0
105-104	-1	-62.082	60.082	1
111-104	-1.5	-54.398	51.398	1
2-104	81.696	38.121	125.272	0
3-104	85.8	41.996	129.604	0
70-104	0	-61.082	61.082	1
71-104	-2	-63.082	59.082	1
75-104	-1	-62.082	60.082	1
76-104	-1	-53.898	51.898	1
77-104	-1	-53.898	51.898	1
78-104	-1.5	-54.398	51.398	1
79-104	0	-61.082	61.082	1
81-104	-1	-49.289	47.289	1
84-104	-1.5	-54.398	51.398	1
85-104	-1	-53.898	51.898	1
87-104	-1	-62.082	60.082	1
89-104	29.333	-20.54	79.206	0.864
92-104	0	-61.082	61.082	1
93-104	-1	-53.898	51.898	1
95-104	-1	-62.082	60.082	1
96-104	0	-61.082	61.082	1
99-104	-1	-62.082	60.082	1
111-105	-0.5	-53.398	52.398	1
2-105	82.696	39.121	126.272	0
3-105	86.8	42.996	130.604	0
70-105	1	-60.082	62.082	1
71-105	-1	-62.082	60.082	1
75-105	0	-61.082	61.082	1
76-105	0	-52.898	52.898	1
77-105	0	-52.898	52.898	1
78-105	-0.5	-53.398	52.398	1
79-105	1	-60.082	62.082	1
81-105	0	-48.289	48.289	1
84-105	-0.5	-53.398	52.398	1
85-105	0	-52.898	52.898	1
87-105	0	-61.082	61.082	1
89-105	30.333	-19.54	80.206	0.824
92-105	1	-60.082	62.082	1
93-105	0	-52.898	52.898	1
95-105	0	-61.082	61.082	1
96-105	1	-60.082	62.082	1
99-105	0	-61.082	61.082	1
2-111	83.196	52.115	114.278	0
3-111	87.3	55.899	118.701	0
70-111	1.5	-51.398	54.398	1
71-111	-0.5	-53.398	52.398	1
75-111	0.5	-52.398	53.398	1
76-111	0.5	-42.691	43.691	1
77-111	0.5	-42.691	43.691	1
78-111	0	-43.191	43.191	1
79-111	1.5	-51.398	54.398	1
81-111	0.5	-36.905	37.905	1
84-111	0	-43.191	43.191	1
85-111	0.5	-42.691	43.691	1
87-111	0.5	-52.398	53.398	1
89-111	30.833	-8.595	70.261	0.367
92-111	1.5	-51.398	54.398	1
93-111	0.5	-42.691	43.691	1
95-111	0.5	-52.398	53.398	1
96-111	1.5	-51.398	54.398	1
99-111	0.5	-52.398	53.398	1
3-2	4.104	-5.203	13.41	0.993
70-2	-81.696	-125.272	-38.121	0
71-2	-83.696	-127.272	-40.121	0
75-2	-82.696	-126.272	-39.121	0
76-2	-82.696	-113.778	-51.615	0
77-2	-82.696	-113.778	-51.615	0
78-2	-83.196	-114.278	-52.115	0
79-2	-81.696	-125.272	-38.121	0
81-2	-82.696	-105.05	-60.343	0
84-2	-83.196	-114.278	-52.115	0
85-2	-82.696	-113.778	-51.615	0
87-2	-82.696	-126.272	-39.121	0
89-2	-52.363	-77.959	-26.767	0
92-2	-81.696	-125.272	-38.121	0
93-2	-82.696	-113.778	-51.615	0
95-2	-82.696	-126.272	-39.121	0
96-2	-81.696	-125.272	-38.121	0
99-2	-82.696	-126.272	-39.121	0
70-3	-85.8	-129.604	-41.996	0
71-3	-87.8	-131.604	-43.996	0
75-3	-86.8	-130.604	-42.996	0
76-3	-86.8	-118.201	-55.399	0
77-3	-86.8	-118.201	-55.399	0
78-3	-87.3	-118.701	-55.899	0
79-3	-85.8	-129.604	-41.996	0
81-3	-86.8	-109.596	-64.004	0
84-3	-87.3	-118.701	-55.899	0
85-3	-86.8	-118.201	-55.399	0
87-3	-86.8	-130.604	-42.996	0
89-3	-56.467	-82.45	-30.483	0
92-3	-85.8	-129.604	-41.996	0
93-3	-86.8	-118.201	-55.399	0
95-3	-86.8	-130.604	-42.996	0
96-3	-85.8	-129.604	-41.996	0
99-3	-86.8	-130.604	-42.996	0
71-70	-2	-63.082	59.082	1
75-70	-1	-62.082	60.082	1
76-70	-1	-53.898	51.898	1
77-70	-1	-53.898	51.898	1
78-70	-1.5	-54.398	51.398	1
79-70	0	-61.082	61.082	1
81-70	-1	-49.289	47.289	1
84-70	-1.5	-54.398	51.398	1
85-70	-1	-53.898	51.898	1
87-70	-1	-62.082	60.082	1
89-70	29.333	-20.54	79.206	0.864
92-70	0	-61.082	61.082	1
93-70	-1	-53.898	51.898	1
95-70	-1	-62.082	60.082	1
96-70	0	-61.082	61.082	1
99-70	-1	-62.082	60.082	1
75-71	1	-60.082	62.082	1
76-71	1	-51.898	53.898	1
77-71	1	-51.898	53.898	1
78-71	0.5	-52.398	53.398	1
79-71	2	-59.082	63.082	1
81-71	1	-47.289	49.289	1
84-71	0.5	-52.398	53.398	1
85-71	1	-51.898	53.898	1
87-71	1	-60.082	62.082	1
89-71	31.333	-18.54	81.206	0.78
92-71	2	-59.082	63.082	1
93-71	1	-51.898	53.898	1
95-71	1	-60.082	62.082	1
96-71	2	-59.082	63.082	1
99-71	1	-60.082	62.082	1
76-75	0	-52.898	52.898	1
77-75	0	-52.898	52.898	1
78-75	-0.5	-53.398	52.398	1
79-75	1	-60.082	62.082	1
81-75	0	-48.289	48.289	1
84-75	-0.5	-53.398	52.398	1
85-75	0	-52.898	52.898	1
87-75	0	-61.082	61.082	1
89-75	30.333	-19.54	80.206	0.824
92-75	1	-60.082	62.082	1
93-75	0	-52.898	52.898	1
95-75	0	-61.082	61.082	1
96-75	1	-60.082	62.082	1
99-75	0	-61.082	61.082	1
77-76	0	-43.191	43.191	1
78-76	-0.5	-43.691	42.691	1
79-76	1	-51.898	53.898	1
81-76	0	-37.405	37.405	1
84-76	-0.5	-43.691	42.691	1
85-76	0	-43.191	43.191	1
87-76	0	-52.898	52.898	1
89-76	30.333	-9.095	69.761	0.4
92-76	1	-51.898	53.898	1
93-76	0	-43.191	43.191	1
95-76	0	-52.898	52.898	1
96-76	1	-51.898	53.898	1
99-76	0	-52.898	52.898	1
78-77	-0.5	-43.691	42.691	1
79-77	1	-51.898	53.898	1
81-77	0	-37.405	37.405	1
84-77	-0.5	-43.691	42.691	1
85-77	0	-43.191	43.191	1
87-77	0	-52.898	52.898	1
89-77	30.333	-9.095	69.761	0.4
92-77	1	-51.898	53.898	1
93-77	0	-43.191	43.191	1
95-77	0	-52.898	52.898	1
96-77	1	-51.898	53.898	1
99-77	0	-52.898	52.898	1
79-78	1.5	-51.398	54.398	1
81-78	0.5	-36.905	37.905	1
84-78	0	-43.191	43.191	1
85-78	0.5	-42.691	43.691	1
87-78	0.5	-52.398	53.398	1
89-78	30.833	-8.595	70.261	0.367
92-78	1.5	-51.398	54.398	1
93-78	0.5	-42.691	43.691	1
95-78	0.5	-52.398	53.398	1
96-78	1.5	-51.398	54.398	1
99-78	0.5	-52.398	53.398	1
81-79	-1	-49.289	47.289	1
84-79	-1.5	-54.398	51.398	1
85-79	-1	-53.898	51.898	1
87-79	-1	-62.082	60.082	1
89-79	29.333	-20.54	79.206	0.864
92-79	0	-61.082	61.082	1
93-79	-1	-53.898	51.898	1
95-79	-1	-62.082	60.082	1
96-79	0	-61.082	61.082	1
99-79	-1	-62.082	60.082	1
84-81	-0.5	-37.905	36.905	1
85-81	0	-37.405	37.405	1
87-81	0	-48.289	48.289	1
89-81	30.333	-2.655	63.321	0.117
92-81	1	-47.289	49.289	1
93-81	0	-37.405	37.405	1
95-81	0	-48.289	48.289	1
96-81	1	-47.289	49.289	1
99-81	0	-48.289	48.289	1
85-84	0.5	-42.691	43.691	1
87-84	0.5	-52.398	53.398	1
89-84	30.833	-8.595	70.261	0.367
92-84	1.5	-51.398	54.398	1
93-84	0.5	-42.691	43.691	1
95-84	0.5	-52.398	53.398	1
96-84	1.5	-51.398	54.398	1
99-84	0.5	-52.398	53.398	1
87-85	0	-52.898	52.898	1
89-85	30.333	-9.095	69.761	0.4
92-85	1	-51.898	53.898	1
93-85	0	-43.191	43.191	1
95-85	0	-52.898	52.898	1
96-85	1	-51.898	53.898	1
99-85	0	-52.898	52.898	1
89-87	30.333	-19.54	80.206	0.824
92-87	1	-60.082	62.082	1
93-87	0	-52.898	52.898	1
95-87	0	-61.082	61.082	1
96-87	1	-60.082	62.082	1
99-87	0	-61.082	61.082	1
92-89	-29.333	-79.206	20.54	0.864
93-89	-30.333	-69.761	9.095	0.4
95-89	-30.333	-80.206	19.54	0.824
96-89	-29.333	-79.206	20.54	0.864
99-89	-30.333	-80.206	19.54	0.824
93-92	-1	-53.898	51.898	1
95-92	-1	-62.082	60.082	1
96-92	0	-61.082	61.082	1
99-92	-1	-62.082	60.082	1
95-93	0	-52.898	52.898	1
96-93	1	-51.898	53.898	1
99-93	0	-52.898	52.898	1
96-95	1	-60.082	62.082	1
99-95	0	-61.082	61.082	1
99-96	-1	-62.082	60.082	1

Levenes Test for Homogeneity of Variance
	Df	F value	Pr(>F)
Group	22	2.136	0.004
	137

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Dec/14/t126083116528y262kbitxhjnb/3xtt21260831064.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Dec/14/t126083116528y262kbitxhjnb/3xtt21260831064.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Dec/14/t126083116528y262kbitxhjnb/4lnkv1260831064.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Dec/14/t126083116528y262kbitxhjnb/4lnkv1260831064.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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