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week9 ex2

*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 11:21:20 -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/t126064217017lxesr370omw5x.htm/, Retrieved Sat, 12 Dec 2009 19:22:53 +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/t126064217017lxesr370omw5x.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 «
86 36 88 86 56 94 103 48 90 74 32 73 63 44 68 82 39 80 93 34 86 77 41 86 111 50 91 71 39 79 103 62 96 89 52 92 75 37 72 88 50 96 84 41 70 85 55 86 70 41 87 104 56 88 88 39 79 77 52 90 77 46 95 72 44 85 83 41 90 110 50 115 91 50 84 80 44 79 91 52 94 86 54 97 85 44 86 107 52 111 93 37 87 87 52 98 84 50 87 73 36 68 84 50 88 86 52 82 99 55 111 75 31 75 87 36 94 79 49 95 82 42 80 95 37 95 84 41 68 85 30 94 95 52 88 63 30 84 85 44 101 86 66 98 75 48 78 98 43 109 71 57 102 63 46 81 71 54 97 84 48 75 81 48 97 79 62 101 63 58 101 93 58 95 92 62 95 83 46 95 80 34 90 111 66 107 92 52 92 79 55 86 69 55 70 83 57 95 80 56 96 91 55 91 97 56 87 85 54 92 85 55 97 99 46 102 67 52 91 87 32 68 68 44 88 81 46 97 80 59 90 93 46 101 93 46 94 102 54 101 104 66 109 90 56 100 85 59 103 92 57 94 82 52 97 85 48 85 89 44 75 77 41 77 79 50 87 76 48 78 101 48 108 81 59 97 92 34 105 89 46 106 81 54 107 77 55 95 95 54 107 85 59 115 81 44 101 76 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
means79-41.594.257.44.95.22238.5004.55.8011.333-48.4176.753.88992105.8572.7512.33322.25


ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MC30VRB262822.734108.5670.9590.528
Residuals12614269.502113.25


Tukey Honest Significant Difference Comparisons
difflwruprp adj
31-30-4-49.00241.0021
32-301.5-33.35836.3581
34-309-19.46237.4621
36-304.25-24.21232.7121
37-307.4-19.60134.4011
39-304.9-18.91328.7131
41-305.222-18.96529.411
42-303-42.00248.0021
43-308.5-17.48234.4821
44-300-23.81323.8131
45-300-45.00245.0021
46-304.5-19.31328.3131
48-305.8-18.01329.6131
49-300-45.00245.0021
50-3011.333-11.90534.5720.985
51-30-4-49.00241.0021
52-308.417-14.82231.6551
54-306.75-17.89831.3981
55-303.889-20.29928.0771
56-309-16.22934.2291
57-302-25.00129.0011
58-3010-20.74240.7421
59-305.857-19.37131.0861
60-302.75-25.71231.2121
62-3012.333-18.40943.0750.999
66-3022.25-6.21250.7120.386
32-315.5-43.79754.7971
34-3113-32.00258.0021
36-318.25-36.75253.2521
37-3111.4-32.69355.4931
39-318.9-33.31551.1151
41-319.222-33.20651.651
42-317-49.92363.9231
43-3112.5-30.97655.9761
44-314-38.21546.2151
45-314-52.92360.9231
46-318.5-33.71550.7151
48-319.8-32.41552.0151
49-314-52.92360.9231
50-3115.333-26.56157.2281
51-310-56.92356.9231
52-3112.417-29.47854.3111
54-3110.75-31.94253.4421
55-317.889-34.53950.3171
56-3113-30.0356.031
57-316-38.09350.0931
58-3114-32.47860.4781
59-319.857-33.17352.8871
60-316.75-38.25251.7521
62-3116.333-30.14462.8111
66-3126.25-18.75271.2520.896
34-327.5-27.35842.3581
36-322.75-32.10837.6081
37-325.9-27.77639.5761
39-323.4-27.77834.5781
41-323.722-27.74335.1881
42-321.5-47.79750.7971
43-327-25.86539.8651
44-32-1.5-32.67829.6781
45-32-1.5-50.79747.7971
46-323-28.17834.1781
48-324.3-26.87835.4781
49-32-1.5-50.79747.7971
50-329.833-20.90940.5751
51-32-5.5-54.79743.7971
52-326.917-23.82537.6591
54-325.25-26.57137.0711
55-322.389-29.07733.8541
56-327.5-24.77239.7721
57-320.5-33.17634.1761
58-328.5-28.24445.2441
59-324.357-27.91536.631
60-321.25-33.60836.1081
62-3210.833-25.9147.5771
66-3220.75-14.10855.6080.875
36-34-4.75-33.21223.7121
37-34-1.6-28.60125.4011
39-34-4.1-27.91319.7131
41-34-3.778-27.96520.411
42-34-6-51.00239.0021
43-34-0.5-26.48225.4821
44-34-9-32.81314.8131
45-34-9-54.00236.0021
46-34-4.5-28.31319.3131
48-34-3.2-27.01320.6131
49-34-9-54.00236.0021
50-342.333-20.90525.5721
51-34-13-58.00232.0021
52-34-0.583-23.82222.6551
54-34-2.25-26.89822.3981
55-34-5.111-29.29919.0771
56-340-25.22925.2291
57-34-7-34.00120.0011
58-341-29.74231.7421
59-34-3.143-28.37122.0861
60-34-6.25-34.71222.2121
62-343.333-27.40934.0751
66-3413.25-15.21241.7120.992
37-363.15-23.85130.1511
39-360.65-23.16324.4631
41-360.972-23.21525.161
42-36-1.25-46.25243.7521
43-364.25-21.73230.2321
44-36-4.25-28.06319.5631
45-36-4.25-49.25240.7521
46-360.25-23.56324.0631
48-361.55-22.26325.3631
49-36-4.25-49.25240.7521
50-367.083-16.15530.3221
51-36-8.25-53.25236.7521
52-364.167-19.07227.4051
54-362.5-22.14827.1481
55-36-0.361-24.54923.8271
56-364.75-20.47929.9791
57-36-2.25-29.25124.7511
58-365.75-24.99236.4921
59-361.607-23.62126.8361
60-36-1.5-29.96226.9621
62-368.083-22.65938.8251
66-3618-10.46246.4620.799
39-37-2.5-24.54619.5461
41-37-2.178-24.62920.2731
42-37-4.4-48.49339.6931
43-371.1-23.27325.4731
44-37-7.4-29.44614.6461
45-37-7.4-51.49336.6931
46-37-2.9-24.94619.1461
48-37-1.6-23.64620.4461
49-37-7.4-51.49336.6931
50-373.933-17.49225.3581
51-37-11.4-55.49332.6931
52-371.017-20.40822.4421
54-37-0.65-23.59622.2961
55-37-3.511-25.96218.941
56-371.6-21.96825.1681
57-37-5.4-30.85720.0571
58-372.6-26.79531.9951
59-37-1.543-25.11122.0261
60-37-4.65-31.65122.3511
62-374.933-24.46234.3281
66-3714.85-12.15141.8510.94
41-390.322-18.17218.8161
42-39-1.9-44.11540.3151
43-393.6-17.18524.3851
44-39-4.9-22.90113.1011
45-39-4.9-47.11537.3151
46-39-0.4-18.40117.6011
48-390.9-17.10118.9011
49-39-4.9-47.11537.3151
50-396.433-10.80123.6681
51-39-8.9-51.11533.3151
52-393.517-13.71820.7511
54-391.85-17.24320.9431
55-39-1.011-19.50517.4831
56-394.1-15.73623.9361
57-39-2.9-24.94619.1461
58-395.1-21.39631.5961
59-390.957-18.87920.7931
60-39-2.15-25.96321.6631
62-397.433-19.06333.931
66-3917.35-6.46341.1630.535
42-41-2.222-44.6540.2061
43-413.278-17.93624.4921
44-41-5.222-23.71613.2721
45-41-5.222-47.6537.2061
46-41-0.722-19.21617.7721
48-410.578-17.91619.0721
49-41-5.222-47.6537.2061
50-416.111-11.63823.861
51-41-9.222-51.6533.2061
52-413.194-14.55420.9431
54-411.528-18.03121.0861
55-41-1.333-20.30817.6411
56-413.778-16.50724.0621
57-41-3.222-25.67319.2291
58-414.778-22.05631.6121
59-410.635-19.6520.9191
60-41-2.472-26.6621.7151
62-417.111-19.72333.9451
66-4117.028-7.1641.2150.607
43-425.5-37.97648.9761
44-42-3-45.21539.2151
45-42-3-59.92353.9231
46-421.5-40.71543.7151
48-422.8-39.41545.0151
49-42-3-59.92353.9231
50-428.333-33.56150.2281
51-42-7-63.92349.9231
52-425.417-36.47847.3111
54-423.75-38.94246.4421
55-420.889-41.53943.3171
56-426-37.0349.031
57-42-1-45.09343.0931
58-427-39.47853.4781
59-422.857-40.17345.8871
60-42-0.25-45.25244.7521
62-429.333-37.14455.8111
66-4219.25-25.75264.2520.997
44-43-8.5-29.28512.2850.999
45-43-8.5-51.97634.9761
46-43-4-24.78516.7851
48-43-2.7-23.48518.0851
49-43-8.5-51.97634.9761
50-432.833-17.29222.9591
51-43-12.5-55.97630.9761
52-43-0.083-20.20920.0421
54-43-1.75-23.48819.9881
55-43-4.611-25.82516.6031
56-430.5-21.89322.8931
57-43-6.5-30.87317.8731
58-431.5-26.96229.9621
59-43-2.643-25.03619.7511
60-43-5.75-31.73220.2321
62-433.833-24.62832.2951
66-4313.75-12.23239.7320.96
45-440-42.21542.2151
46-444.5-13.50122.5011
48-445.8-12.20123.8011
49-440-42.21542.2151
50-4411.333-5.90128.5680.736
51-44-4-46.21538.2151
52-448.417-8.81825.6510.984
54-446.75-12.34325.8431
55-443.889-14.60522.3831
56-449-10.83628.8360.994
57-442-20.04624.0461
58-4410-16.49636.4961
59-445.857-13.97925.6931
60-442.75-21.06326.5631
62-4412.333-14.16338.830.992
66-4422.25-1.56346.0630.103
46-454.5-37.71546.7151
48-455.8-36.41548.0151
49-450-56.92356.9231
50-4511.333-30.56153.2281
51-45-4-60.92352.9231
52-458.417-33.47850.3111
54-456.75-35.94249.4421
55-453.889-38.53946.3171
56-459-34.0352.031
57-452-42.09346.0931
58-4510-36.47856.4781
59-455.857-37.17348.8871
60-452.75-42.25247.7521
62-4512.333-34.14458.8111
66-4522.25-22.75267.2520.982
48-461.3-16.70119.3011
49-46-4.5-46.71537.7151
50-466.833-10.40124.0680.999
51-46-8.5-50.71533.7151
52-463.917-13.31821.1511
54-462.25-16.84321.3431
55-46-0.611-19.10517.8831
56-464.5-15.33624.3361
57-46-2.5-24.54619.5461
58-465.5-20.99631.9961
59-461.357-18.47921.1931
60-46-1.75-25.56322.0631
62-467.833-18.66334.331
66-4617.75-6.06341.5630.486
49-48-5.8-48.01536.4151
50-485.533-11.70122.7681
51-48-9.8-52.01532.4151
52-482.617-14.61819.8511
54-480.95-18.14320.0431
55-48-1.911-20.40516.5831
56-483.2-16.63623.0361
57-48-3.8-25.84618.2461
58-484.2-22.29630.6961
59-480.057-19.77919.8931
60-48-3.05-26.86320.7631
62-486.533-19.96333.031
66-4816.45-7.36340.2630.645
50-4911.333-30.56153.2281
51-49-4-60.92352.9231
52-498.417-33.47850.3111
54-496.75-35.94249.4421
55-493.889-38.53946.3171
56-499-34.0352.031
57-492-42.09346.0931
58-4910-36.47856.4781
59-495.857-37.17348.8871
60-492.75-42.25247.7521
62-4912.333-34.14458.8111
66-4922.25-22.75267.2520.982
51-50-15.333-57.22826.5611
52-50-2.917-19.34913.5161
54-50-4.583-22.95513.7891
55-50-7.444-25.19310.3040.998
56-50-2.333-21.47616.811
57-50-9.333-30.75812.0920.997
58-50-1.333-27.31524.6481
59-50-5.476-24.61913.6671
60-50-8.583-31.82214.6551
62-501-24.98226.9821
66-5010.917-12.32234.1550.991
52-5112.417-29.47854.3111
54-5110.75-31.94253.4421
55-517.889-34.53950.3171
56-5113-30.0356.031
57-516-38.09350.0931
58-5114-32.47860.4781
59-519.857-33.17352.8871
60-516.75-38.25251.7521
62-5116.333-30.14462.8111
66-5126.25-18.75271.2520.896
54-52-1.667-20.03916.7051
55-52-4.528-22.27713.2211
56-520.583-18.5619.7261
57-52-6.417-27.84215.0081
58-521.583-24.39827.5651
59-52-2.56-21.70316.5841
60-52-5.667-28.90517.5721
62-523.917-22.06529.8981
66-5213.833-9.40537.0720.875
55-54-2.861-22.41916.6971
56-542.25-18.58223.0821
57-54-4.75-27.69618.1961
58-543.25-2430.51
59-54-0.893-21.72519.9391
60-54-4-28.64820.6481
62-545.583-21.66732.8331
66-5415.5-9.14840.1480.807
56-555.111-15.17325.3961
57-55-1.889-24.3420.5621
58-556.111-20.72332.9451
59-551.968-18.31622.2531
60-55-1.139-25.32723.0491
62-558.444-18.38935.2781
66-5518.361-5.82742.5490.448
57-56-7-30.56816.5681
58-561-26.77628.7761
59-56-3.143-24.65818.3721
60-56-6.25-31.47918.9791
62-563.333-24.44231.1091
66-5613.25-11.97938.4790.963
58-578-21.39537.3951
59-573.857-19.71127.4261
60-570.75-26.25127.7511
62-5710.333-19.06239.7281
66-5720.25-6.75147.2510.473
59-58-4.143-31.91923.6331
60-58-7.25-37.99223.4921
62-582.333-30.53135.1981
66-5812.25-18.49242.9920.999
60-59-3.107-28.33622.1211
62-596.476-21.29934.2521
66-5916.393-8.83641.6210.757
62-609.583-21.15940.3251
66-6019.5-8.96247.9620.661
66-629.917-20.82540.6591


Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group260.6080.929
126
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Dec/12/t126064217017lxesr370omw5x/3bxgr1260642076.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/12/t126064217017lxesr370omw5x/3bxgr1260642076.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/12/t126064217017lxesr370omw5x/4wxxc1260642076.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/12/t126064217017lxesr370omw5x/4wxxc1260642076.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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