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compendium 9, Q2 (30 months)

*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 15:12:44 -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/t12608288194ww2qlfgn952q29.htm/, Retrieved Mon, 14 Dec 2009 23:13:42 +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/t12608288194ww2qlfgn952q29.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 «
1 36 2 36 2 56 3 48 1 32 1 44 2 39 2 34 1 41 3 50 1 39 3 62 2 52 1 37 2 50 2 41 2 55 1 41 3 56 2 39 1 52 1 46 1 44 1 48 2 41 3 50 2 50 2 44 2 52 2 54 2 44 3 52 2 37 2 52 2 50 1 36 2 50 2 52 3 55 1 31 2 36 1 49 2 42 3 37 2 41 2 30 2 52 1 30 1 41 2 44 2 66 1 48 3 43 1 57 1 46 1 54 2 48 2 48 2 52 1 62 1 58 2 58 2 62 2 48 2 46 2 34 3 66 2 52 1 55 1 55 2 57 2 56 2 55 3 56 2 54 2 55 3 46 1 52 2 32 1 44 2 46 2 59 2 46 2 46 3 54 3 66 2 56 2 59 2 57 2 52 2 48 2 44 1 41 1 50 1 48 3 48 2 59 2 34 2 46 2 54 1 55 2 54 2 59 2 44 1 54 2 52 3 66 2 44 1 57 1 39 1 60 1 45 2 41 2 50 3 39 2 43 2 48 2 37 3 58 1 46 3 43 1 44 2 34 2 30 2 50 1 39 2 37 1 55 3 48 3 41 2 39 2 36 1 43 3 50 2 55 1 43 1 60 1 48 1 30 2 43 3 39 2 52 2 39 1 39 2 56 1 59 1 46 2 57 2 50 2 54 2 50 3 60 3 59 3 41 2 48 2 59 2 60 1 56 2 56 1 51
 
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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


ANOVA Model
RespVar ~ AgeGroup
means1.5-0.500.50.10.50.30.30.50.50.1-0.50.20.423-0.50.667-0.50.4230.3750.1670.6250.10.50.50.250.51.25


ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
AgeGroup2611.3310.4360.960.526
Residuals13360.3630.454


Tukey Honest Significant Difference Comparisons
difflwruprp adj
31-30-0.5-3.3452.3451
32-300-2.2042.2041
34-300.5-1.32.31
36-300.1-1.6071.8071
37-300.5-1.2072.2071
39-300.3-1.2061.8061
41-300.3-1.2061.8061
42-300.5-2.3453.3451
43-300.5-1.1432.1431
44-300.1-1.4061.6061
45-30-0.5-3.3452.3451
46-300.2-1.3061.7061
48-300.423-1.0321.8781
49-30-0.5-3.3452.3451
50-300.667-0.8032.1360.994
51-30-0.5-3.3452.3451
52-300.423-1.0321.8781
54-300.375-1.1841.9341
55-300.167-1.3631.6961
56-300.625-0.9342.1840.999
57-300.1-1.6071.8071
58-300.5-1.4442.4441
59-300.5-1.0952.0951
60-300.25-1.552.051
62-300.5-1.4442.4441
66-301.25-0.553.050.637
32-310.5-2.6173.6171
34-311-1.8453.8451
36-310.6-2.1883.3881
37-311-1.7883.7881
39-310.8-1.8693.4691
41-310.8-1.8693.4691
42-311-2.5994.5991
43-311-1.7493.7491
44-310.6-2.0693.2691
45-310-3.5993.5991
46-310.7-1.9693.3691
48-310.923-1.7183.5641
49-310-3.5993.5991
50-311.167-1.4823.8160.996
51-310-3.5993.5991
52-310.923-1.7183.5641
54-310.875-1.8243.5741
55-310.667-2.0163.3491
56-311.125-1.5743.8240.998
57-310.6-2.1883.3881
58-311-1.9393.9391
59-311-1.7213.7211
60-310.75-2.0953.5951
62-311-1.9393.9391
66-311.75-1.0954.5950.839
34-320.5-1.7042.7041
36-320.1-2.0292.2291
37-320.5-1.6292.6291
39-320.3-1.6712.2711
41-320.3-1.6712.2711
42-320.5-2.6173.6171
43-320.5-1.5782.5781
44-320.1-1.8712.0711
45-32-0.5-3.6172.6171
46-320.2-1.7712.1711
48-320.423-1.512.3561
49-32-0.5-3.6172.6171
50-320.667-1.2772.611
51-32-0.5-3.6172.6171
52-320.423-1.512.3561
54-320.375-1.6372.3871
55-320.167-1.8232.1561
56-320.625-1.3872.6371
57-320.1-2.0292.2291
58-320.5-1.8232.8231
59-320.5-1.5412.5411
60-320.25-1.9542.4541
62-320.5-1.8232.8231
66-321.25-0.9543.4540.921
36-34-0.4-2.1071.3071
37-340-1.7071.7071
39-34-0.2-1.7061.3061
41-34-0.2-1.7061.3061
42-340-2.8452.8451
43-340-1.6431.6431
44-34-0.4-1.9061.1061
45-34-1-3.8451.8451
46-34-0.3-1.8061.2061
48-34-0.077-1.5321.3781
49-34-1-3.8451.8451
50-340.167-1.3031.6361
51-34-1-3.8451.8451
52-34-0.077-1.5321.3781
54-34-0.125-1.6841.4341
55-34-0.333-1.8631.1961
56-340.125-1.4341.6841
57-34-0.4-2.1071.3071
58-340-1.9441.9441
59-340-1.5951.5951
60-34-0.25-2.051.551
62-340-1.9441.9441
66-340.75-1.052.550.998
37-360.4-1.212.011
39-360.2-1.1941.5941
41-360.2-1.1941.5941
42-360.4-2.3883.1881
43-360.4-1.1411.9411
44-360-1.3941.3941
45-36-0.6-3.3882.1881
46-360.1-1.2941.4941
48-360.323-1.0161.6621
49-36-0.6-3.3882.1881
50-360.567-0.7881.9210.998
51-36-0.6-3.3882.1881
52-360.323-1.0161.6621
54-360.275-1.1761.7261
55-360.067-1.3531.4861
56-360.525-0.9261.9761
57-360-1.611.611
58-360.4-1.4592.2591
59-360.4-1.091.891
60-360.15-1.5571.8571
62-360.4-1.4592.2591
66-361.15-0.5572.8570.696
39-37-0.2-1.5941.1941
41-37-0.2-1.5941.1941
42-370-2.7882.7881
43-370-1.5411.5411
44-37-0.4-1.7940.9941
45-37-1-3.7881.7881
46-37-0.3-1.6941.0941
48-37-0.077-1.4161.2621
49-37-1-3.7881.7881
50-370.167-1.1881.5211
51-37-1-3.7881.7881
52-37-0.077-1.4161.2621
54-37-0.125-1.5761.3261
55-37-0.333-1.7531.0861
56-370.125-1.3261.5761
57-37-0.4-2.011.211
58-370-1.8591.8591
59-370-1.491.491
60-37-0.25-1.9571.4571
62-370-1.8591.8591
66-370.75-0.9572.4570.996
41-390-1.1381.1381
42-390.2-2.4692.8691
43-390.2-1.1141.5141
44-39-0.2-1.3380.9381
45-39-0.8-3.4691.8691
46-39-0.1-1.2381.0381
48-390.123-0.9471.1941
49-39-0.8-3.4691.8691
50-390.367-0.7231.4561
51-39-0.8-3.4691.8691
52-390.123-0.9471.1941
54-390.075-1.1321.2821
55-39-0.133-1.3031.0361
56-390.325-0.8821.5321
57-39-0.2-1.5941.1941
58-390.2-1.4751.8751
59-390.2-1.0541.4541
60-39-0.05-1.5561.4561
62-390.2-1.4751.8751
66-390.95-0.5562.4560.804
42-410.2-2.4692.8691
43-410.2-1.1141.5141
44-41-0.2-1.3380.9381
45-41-0.8-3.4691.8691
46-41-0.1-1.2381.0381
48-410.123-0.9471.1941
49-41-0.8-3.4691.8691
50-410.367-0.7231.4561
51-41-0.8-3.4691.8691
52-410.123-0.9471.1941
54-410.075-1.1321.2821
55-41-0.133-1.3031.0361
56-410.325-0.8821.5321
57-41-0.2-1.5941.1941
58-410.2-1.4751.8751
59-410.2-1.0541.4541
60-41-0.05-1.5561.4561
62-410.2-1.4751.8751
66-410.95-0.5562.4560.804
43-420-2.7492.7491
44-42-0.4-3.0692.2691
45-42-1-4.5992.5991
46-42-0.3-2.9692.3691
48-42-0.077-2.7182.5641
49-42-1-4.5992.5991
50-420.167-2.4822.8161
51-42-1-4.5992.5991
52-42-0.077-2.7182.5641
54-42-0.125-2.8242.5741
55-42-0.333-3.0162.3491
56-420.125-2.5742.8241
57-42-0.4-3.1882.3881
58-420-2.9392.9391
59-420-2.7212.7211
60-42-0.25-3.0952.5951
62-420-2.9392.9391
66-420.75-2.0953.5951
44-43-0.4-1.7140.9141
45-43-1-3.7491.7491
46-43-0.3-1.6141.0141
48-43-0.077-1.3331.1791
49-43-1-3.7491.7491
50-430.167-1.1061.4391
51-43-1-3.7491.7491
52-43-0.077-1.3331.1791
54-43-0.125-1.4991.2491
55-43-0.333-1.6751.0081
56-430.125-1.2491.4991
57-43-0.4-1.9411.1411
58-430-1.81.81
59-430-1.4161.4161
60-43-0.25-1.8931.3931
62-430-1.81.81
66-430.75-0.8932.3930.994
45-44-0.6-3.2692.0691
46-440.1-1.0381.2381
48-440.323-0.7471.3941
49-44-0.6-3.2692.0691
50-440.567-0.5231.6560.968
51-44-0.6-3.2692.0691
52-440.323-0.7471.3941
54-440.275-0.9321.4821
55-440.067-1.1031.2361
56-440.525-0.6821.7320.997
57-440-1.3941.3941
58-440.4-1.2752.0751
59-440.4-0.8541.6541
60-440.15-1.3561.6561
62-440.4-1.2752.0751
66-441.15-0.3562.6560.436
46-450.7-1.9693.3691
48-450.923-1.7183.5641
49-450-3.5993.5991
50-451.167-1.4823.8160.996
51-450-3.5993.5991
52-450.923-1.7183.5641
54-450.875-1.8243.5741
55-450.667-2.0163.3491
56-451.125-1.5743.8240.998
57-450.6-2.1883.3881
58-451-1.9393.9391
59-451-1.7213.7211
60-450.75-2.0953.5951
62-451-1.9393.9391
66-451.75-1.0954.5950.839
48-460.223-0.8471.2941
49-46-0.7-3.3691.9691
50-460.467-0.6231.5560.997
51-46-0.7-3.3691.9691
52-460.223-0.8471.2941
54-460.175-1.0321.3821
55-46-0.033-1.2031.1361
56-460.425-0.7821.6321
57-46-0.1-1.4941.2941
58-460.3-1.3751.9751
59-460.3-0.9541.5541
60-460.05-1.4561.5561
62-460.3-1.3751.9751
66-461.05-0.4562.5560.629
49-48-0.923-3.5641.7181
50-480.244-0.7751.2621
51-48-0.923-3.5641.7181
52-480-0.9980.9981
54-48-0.048-1.1921.0961
55-48-0.256-1.360.8471
56-480.202-0.9421.3461
57-48-0.323-1.6621.0161
58-480.077-1.5531.7071
59-480.077-1.1161.271
60-48-0.173-1.6281.2821
62-480.077-1.5531.7071
66-480.827-0.6282.2820.919
50-491.167-1.4823.8160.996
51-490-3.5993.5991
52-490.923-1.7183.5641
54-490.875-1.8243.5741
55-490.667-2.0163.3491
56-491.125-1.5743.8240.998
57-490.6-2.1883.3881
58-491-1.9393.9391
59-491-1.7213.7211
60-490.75-2.0953.5951
62-491-1.9393.9391
66-491.75-1.0954.5950.839
51-50-1.167-3.8161.4820.996
52-50-0.244-1.2620.7751
54-50-0.292-1.4530.871
55-50-0.5-1.6220.6220.996
56-50-0.042-1.2031.121
57-50-0.567-1.9210.7880.998
58-50-0.167-1.8091.4761
59-50-0.167-1.3771.0441
60-50-0.417-1.8861.0531
62-50-0.167-1.8091.4761
66-500.583-0.8862.0530.999
52-510.923-1.7183.5641
54-510.875-1.8243.5741
55-510.667-2.0163.3491
56-511.125-1.5743.8240.998
57-510.6-2.1883.3881
58-511-1.9393.9391
59-511-1.7213.7211
60-510.75-2.0953.5951
62-511-1.9393.9391
66-511.75-1.0954.5950.839
54-52-0.048-1.1921.0961
55-52-0.256-1.360.8471
56-520.202-0.9421.3461
57-52-0.323-1.6621.0161
58-520.077-1.5531.7071
59-520.077-1.1161.271
60-52-0.173-1.6281.2821
62-520.077-1.5531.7071
66-520.827-0.6282.2820.919
55-54-0.208-1.4451.0281
56-540.25-1.0231.5231
57-54-0.275-1.7261.1761
58-540.125-1.5981.8481
59-540.125-1.1921.4421
60-54-0.125-1.6841.4341
62-540.125-1.5981.8481
66-540.875-0.6842.4340.928
56-550.458-0.7781.6951
57-55-0.067-1.4861.3531
58-550.333-1.3632.031
59-550.333-0.9491.6161
60-550.083-1.4461.6131
62-550.333-1.3632.031
66-551.083-0.4462.6130.597
57-56-0.525-1.9760.9261
58-56-0.125-1.8481.5981
59-56-0.125-1.4421.1921
60-56-0.375-1.9341.1841
62-56-0.125-1.8481.5981
66-560.625-0.9342.1840.999
58-570.4-1.4592.2591
59-570.4-1.091.891
60-570.15-1.5571.8571
62-570.4-1.4592.2591
66-571.15-0.5572.8570.696
59-580-1.7561.7561
60-58-0.25-2.1941.6941
62-580-2.0782.0781
66-580.75-1.1942.6941
60-59-0.25-1.8451.3451
62-590-1.7561.7561
66-590.75-0.8452.3450.991
62-600.25-1.6942.1941
66-601-0.82.80.935
66-620.75-1.1942.6941


Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group260.7220.832
133
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Dec/14/t12608288194ww2qlfgn952q29/3yt8b1260828759.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/14/t12608288194ww2qlfgn952q29/3yt8b1260828759.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/14/t12608288194ww2qlfgn952q29/4gyn41260828759.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/14/t12608288194ww2qlfgn952q29/4gyn41260828759.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')
 





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