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week9 ex2pt2

*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: Sat, 12 Dec 2009 11:53:32 -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/12/t1260644075zjjre68n8lthomi.htm/, Retrieved Sat, 12 Dec 2009 19:54:38 +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/12/t1260644075zjjre68n8lthomi.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 «
2 36 88 2 56 94 3 48 90 1 32 73 1 44 68 2 39 80 2 34 86 1 41 86 3 50 91 1 39 79 3 62 96 2 52 92 1 37 72 2 50 96 2 41 70 2 55 86 1 41 87 3 56 88 2 39 79 1 52 90 1 46 95 1 44 85 2 41 90 3 50 115 2 50 84 2 44 79 2 52 94 2 54 97 2 44 86 3 52 111 2 37 87 2 52 98 2 50 87 1 36 68 2 50 88 2 52 82 3 55 111 1 31 75 2 36 94 1 49 95 2 42 80 2 37 95 2 41 68 2 30 94 2 52 88 1 30 84 2 44 101 2 66 98 1 48 78 3 43 109 1 57 102 1 46 81 1 54 97 2 48 75 2 48 97 1 62 101 1 58 101 2 58 95 2 62 95 2 46 95 1 34 90 3 66 107 2 52 92 1 55 86 1 55 70 2 57 95 1 56 96 2 55 91 3 56 87 2 54 92 2 55 97 3 46 102 1 52 91 2 32 68 1 44 88 2 46 97 1 59 90 2 46 101 2 46 94 3 54 101 3 66 109 2 56 100 2 59 103 2 57 94 2 52 97 2 48 85 2 44 75 1 41 77 1 50 87 1 48 78 3 48 108 2 59 97 2 34 105 2 46 106 2 54 107 1 55 95 2 54 107 2 59 115 2 44 101 1 54 85 2 52 90 3 66 115 2 44 95 1 57 97 1 39 112 1 60 97 1 45 77 2 41 90 2 50 94 3 39 103 2 43 77 etc...
 
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 time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


ANOVA Model
MVRBIQ0 ~ MC30VRB
means1.5-0.500.250.250.30.40.3890.50.50.1-0.50.20.4-0.50.667-0.50.4170.3750.2780.50.10.50.3570.250.51.25


ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MC30VRB269.9830.3840.840.688
Residuals12657.560.457


Tukey Honest Significant Difference Comparisons
difflwruprp adj
31-30-0.5-3.3582.3581
32-300-2.2142.2141
34-300.25-1.5582.0581
36-300.25-1.5582.0581
37-300.3-1.4152.0151
39-300.4-1.1121.9121
41-300.389-1.1471.9251
42-300.5-2.3583.3581
43-300.5-1.152.151
44-300.1-1.4121.6121
45-30-0.5-3.3582.3581
46-300.2-1.3121.7121
48-300.4-1.1121.9121
49-30-0.5-3.3582.3581
50-300.667-0.8092.1430.994
51-30-0.5-3.3582.3581
52-300.417-1.0591.8931
54-300.375-1.191.941
55-300.278-1.2581.8141
56-300.5-1.1022.1021
57-300.1-1.6151.8151
58-300.5-1.4522.4521
59-300.357-1.2451.9591
60-300.25-1.5582.0581
62-300.5-1.4522.4521
66-301.25-0.5583.0580.643
32-310.5-2.6313.6311
34-310.75-2.1083.6081
36-310.75-2.1083.6081
37-310.8-23.61
39-310.9-1.7813.5811
41-310.889-1.8063.5841
42-311-2.6154.6151
43-311-1.7613.7611
44-310.6-2.0813.2811
45-310-3.6153.6151
46-310.7-1.9813.3811
48-310.9-1.7813.5811
49-310-3.6153.6151
50-311.167-1.4943.8270.996
51-310-3.6153.6151
52-310.917-1.7443.5771
54-310.875-1.8363.5861
55-310.778-1.9173.4721
56-311-1.7333.7331
57-310.6-2.23.41
58-311-1.9523.9521
59-310.857-1.8763.591
60-310.75-2.1083.6081
62-311-1.9523.9521
66-311.75-1.1084.6080.843
34-320.25-1.9642.4641
36-320.25-1.9642.4641
37-320.3-1.8392.4391
39-320.4-1.582.381
41-320.389-1.612.3871
42-320.5-2.6313.6311
43-320.5-1.5872.5871
44-320.1-1.882.081
45-32-0.5-3.6312.6311
46-320.2-1.782.181
48-320.4-1.582.381
49-32-0.5-3.6312.6311
50-320.667-1.2862.6191
51-32-0.5-3.6312.6311
52-320.417-1.5362.3691
54-320.375-1.6462.3961
55-320.278-1.7212.2761
56-320.5-1.552.551
57-320.1-2.0392.2391
58-320.5-1.8342.8341
59-320.357-1.6932.4071
60-320.25-1.9642.4641
62-320.5-1.8342.8341
66-321.25-0.9643.4640.923
36-340-1.8081.8081
37-340.05-1.6651.7651
39-340.15-1.3621.6621
41-340.139-1.3971.6751
42-340.25-2.6083.1081
43-340.25-1.41.91
44-34-0.15-1.6621.3621
45-34-0.75-3.6082.1081
46-34-0.05-1.5621.4621
48-340.15-1.3621.6621
49-34-0.75-3.6082.1081
50-340.417-1.0591.8931
51-34-0.75-3.6082.1081
52-340.167-1.3091.6431
54-340.125-1.441.691
55-340.028-1.5081.5641
56-340.25-1.3521.8521
57-34-0.15-1.8651.5651
58-340.25-1.7022.2021
59-340.107-1.4951.7091
60-340-1.8081.8081
62-340.25-1.7022.2021
66-341-0.8082.8080.937
37-360.05-1.6651.7651
39-360.15-1.3621.6621
41-360.139-1.3971.6751
42-360.25-2.6083.1081
43-360.25-1.41.91
44-36-0.15-1.6621.3621
45-36-0.75-3.6082.1081
46-36-0.05-1.5621.4621
48-360.15-1.3621.6621
49-36-0.75-3.6082.1081
50-360.417-1.0591.8931
51-36-0.75-3.6082.1081
52-360.167-1.3091.6431
54-360.125-1.441.691
55-360.028-1.5081.5641
56-360.25-1.3521.8521
57-36-0.15-1.8651.5651
58-360.25-1.7022.2021
59-360.107-1.4951.7091
60-360-1.8081.8081
62-360.25-1.7022.2021
66-361-0.8082.8080.937
39-370.1-1.31.51
41-370.089-1.3371.5151
42-370.2-2.631
43-370.2-1.3481.7481
44-37-0.2-1.61.21
45-37-0.8-3.621
46-37-0.1-1.51.31
48-370.1-1.31.51
49-37-0.8-3.621
50-370.367-0.9941.7271
51-37-0.8-3.621
52-370.117-1.2441.4771
54-370.075-1.3821.5321
55-37-0.022-1.4481.4041
56-370.2-1.2971.6971
57-37-0.2-1.8171.4171
58-370.2-1.6672.0671
59-370.057-1.441.5541
60-37-0.05-1.7651.6651
62-370.2-1.6672.0671
66-370.95-0.7652.6650.936
41-39-0.011-1.1861.1631
42-390.1-2.5812.7811
43-390.1-1.221.421
44-39-0.3-1.4430.8431
45-39-0.9-3.5811.7811
46-39-0.2-1.3430.9431
48-390-1.1431.1431
49-39-0.9-3.5811.7811
50-390.267-0.8281.3611
51-39-0.9-3.5811.7811
52-390.017-1.0781.1111
54-39-0.025-1.2381.1881
55-39-0.122-1.2971.0521
56-390.1-1.161.361
57-39-0.3-1.71.11
58-390.1-1.5831.7831
59-39-0.043-1.3031.2171
60-39-0.15-1.6621.3621
62-390.1-1.5831.7831
66-390.85-0.6622.3620.926
42-410.111-2.5842.8061
43-410.111-1.2361.4581
44-41-0.289-1.4630.8861
45-41-0.889-3.5841.8061
46-41-0.189-1.3630.9861
48-410.011-1.1631.1861
49-41-0.889-3.5841.8061
50-410.278-0.8491.4051
51-41-0.889-3.5841.8061
52-410.028-1.0991.1551
54-41-0.014-1.2561.2281
55-41-0.111-1.3161.0941
56-410.111-1.1771.3991
57-41-0.289-1.7151.1371
58-410.111-1.5931.8151
59-41-0.032-1.321.2571
60-41-0.139-1.6751.3971
62-410.111-1.5931.8151
66-410.861-0.6752.3970.928
43-420-2.7612.7611
44-42-0.4-3.0812.2811
45-42-1-4.6152.6151
46-42-0.3-2.9812.3811
48-42-0.1-2.7812.5811
49-42-1-4.6152.6151
50-420.167-2.4942.8271
51-42-1-4.6152.6151
52-42-0.083-2.7442.5771
54-42-0.125-2.8362.5861
55-42-0.222-2.9172.4721
56-420-2.7332.7331
57-42-0.4-3.22.41
58-420-2.9522.9521
59-42-0.143-2.8762.591
60-42-0.25-3.1082.6081
62-420-2.9522.9521
66-420.75-2.1083.6081
44-43-0.4-1.720.921
45-43-1-3.7611.7611
46-43-0.3-1.621.021
48-43-0.1-1.421.221
49-43-1-3.7611.7611
50-430.167-1.1121.4451
51-43-1-3.7611.7611
52-43-0.083-1.3621.1951
54-43-0.125-1.5061.2561
55-43-0.222-1.571.1251
56-430-1.4221.4221
57-43-0.4-1.9481.1481
58-430-1.8081.8081
59-43-0.143-1.5651.2791
60-43-0.25-1.91.41
62-430-1.8081.8081
66-430.75-0.92.40.994
45-44-0.6-3.2812.0811
46-440.1-1.0431.2431
48-440.3-0.8431.4431
49-44-0.6-3.2812.0811
50-440.567-0.5281.6610.969
51-44-0.6-3.2812.0811
52-440.317-0.7781.4111
54-440.275-0.9381.4881
55-440.178-0.9971.3521
56-440.4-0.861.661
57-440-1.41.41
58-440.4-1.2832.0831
59-440.257-1.0031.5171
60-440.15-1.3621.6621
62-440.4-1.2832.0831
66-441.15-0.3622.6620.444
46-450.7-1.9813.3811
48-450.9-1.7813.5811
49-450-3.6153.6151
50-451.167-1.4943.8270.996
51-450-3.6153.6151
52-450.917-1.7443.5771
54-450.875-1.8363.5861
55-450.778-1.9173.4721
56-451-1.7333.7331
57-450.6-2.23.41
58-451-1.9523.9521
59-450.857-1.8763.591
60-450.75-2.1083.6081
62-451-1.9523.9521
66-451.75-1.1084.6080.843
48-460.2-0.9431.3431
49-46-0.7-3.3811.9811
50-460.467-0.6281.5610.998
51-46-0.7-3.3811.9811
52-460.217-0.8781.3111
54-460.175-1.0381.3881
55-460.078-1.0971.2521
56-460.3-0.961.561
57-46-0.1-1.51.31
58-460.3-1.3831.9831
59-460.157-1.1031.4171
60-460.05-1.4621.5621
62-460.3-1.3831.9831
66-461.05-0.4622.5620.635
49-48-0.9-3.5811.7811
50-480.267-0.8281.3611
51-48-0.9-3.5811.7811
52-480.017-1.0781.1111
54-48-0.025-1.2381.1881
55-48-0.122-1.2971.0521
56-480.1-1.161.361
57-48-0.3-1.71.11
58-480.1-1.5831.7831
59-48-0.043-1.3031.2171
60-48-0.15-1.6621.3621
62-480.1-1.5831.7831
66-480.85-0.6622.3620.926
50-491.167-1.4943.8270.996
51-490-3.6153.6151
52-490.917-1.7443.5771
54-490.875-1.8363.5861
55-490.778-1.9173.4721
56-491-1.7333.7331
57-490.6-2.23.41
58-491-1.9523.9521
59-490.857-1.8763.591
60-490.75-2.1083.6081
62-491-1.9523.9521
66-491.75-1.1084.6080.843
51-50-1.167-3.8271.4940.996
52-50-0.25-1.2940.7941
54-50-0.292-1.4590.8751
55-50-0.389-1.5160.7381
56-50-0.167-1.3821.0491
57-50-0.567-1.9270.7940.998
58-50-0.167-1.8171.4831
59-50-0.31-1.5250.9061
60-50-0.417-1.8931.0591
62-50-0.167-1.8171.4831
66-500.583-0.8932.0590.999
52-510.917-1.7443.5771
54-510.875-1.8363.5861
55-510.778-1.9173.4721
56-511-1.7333.7331
57-510.6-2.23.41
58-511-1.9523.9521
59-510.857-1.8763.591
60-510.75-2.1083.6081
62-511-1.9523.9521
66-511.75-1.1084.6080.843
54-52-0.042-1.2091.1251
55-52-0.139-1.2660.9881
56-520.083-1.1321.2991
57-52-0.317-1.6771.0441
58-520.083-1.5671.7331
59-52-0.06-1.2751.1561
60-52-0.167-1.6431.3091
62-520.083-1.5671.7331
66-520.833-0.6432.3090.923
55-54-0.097-1.3391.1451
56-540.125-1.1981.4481
57-54-0.275-1.7321.1821
58-540.125-1.6061.8561
59-54-0.018-1.3411.3051
60-54-0.125-1.691.441
62-540.125-1.6061.8561
66-540.875-0.692.440.93
56-550.222-1.0661.5111
57-55-0.178-1.6041.2481
58-550.222-1.4821.9261
59-550.079-1.2091.3681
60-55-0.028-1.5641.5081
62-550.222-1.4821.9261
66-550.972-0.5642.5080.798
57-56-0.4-1.8971.0971
58-560-1.7641.7641
59-56-0.143-1.5091.2241
60-56-0.25-1.8521.3521
62-560-1.7641.7641
66-560.75-0.8522.3520.991
58-570.4-1.4672.2671
59-570.257-1.241.7541
60-570.15-1.5651.8651
62-570.4-1.4672.2671
66-571.15-0.5652.8650.702
59-58-0.143-1.9071.6211
60-58-0.25-2.2021.7021
62-580-2.0872.0871
66-580.75-1.2022.7021
60-59-0.107-1.7091.4951
62-590.143-1.6211.9071
66-590.893-0.7092.4950.932
62-600.25-1.7022.2021
66-601-0.8082.8080.937
66-620.75-1.2022.7021


Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group260.5490.961
126
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Dec/12/t1260644075zjjre68n8lthomi/3pq1h1260644007.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/12/t1260644075zjjre68n8lthomi/3pq1h1260644007.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/12/t1260644075zjjre68n8lthomi/4876q1260644007.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/12/t1260644075zjjre68n8lthomi/4876q1260644007.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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