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week9 ex1

*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 11:11:01 -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/t1260641627luzlx6aejebuzyd.htm/, Retrieved Sat, 12 Dec 2009 19:13:49 +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/t1260641627luzlx6aejebuzyd.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 88 3 56 94 3 48 90 3 32 73 1 44 68 2 39 80 3 34 86 3 41 86 2 50 91 1 39 79 1 62 96 3 52 92 3 37 72 3 50 96 1 41 70 3 55 86 3 41 87 3 56 88 2 39 79 2 52 90 1 46 95 1 44 85 3 41 90 1 50 115 1 50 84 3 44 79 1 52 94 2 54 97 3 44 86 2 52 111 2 37 87 3 52 98 1 50 87 3 36 68 3 50 88 1 52 82 2 55 111 1 31 75 1 36 94 2 49 95 1 42 80 1 37 95 3 41 68 2 30 94 2 52 88 1 30 84 1 44 101 1 66 98 2 48 78 3 43 109 3 57 102 3 46 81 3 54 97 2 48 75 2 48 97 3 62 101 3 58 101 2 58 95 2 62 95 3 46 95 2 34 90 3 66 107 3 52 92 2 55 86 2 55 70 3 57 95 3 56 96 2 55 91 1 56 87 2 54 92 2 55 97 2 46 102 2 52 91 3 32 68 2 44 88 3 46 97 1 59 90 3 46 101 3 46 94 1 54 101 1 66 109 2 56 100 1 59 103 3 57 94 1 52 97 3 48 85 2 44 75 3 41 77 1 50 87 1 48 78 2 48 108 3 59 97 3 46 106 1 54 107 2 55 95 2 54 107 3 59 115 3 44 101 1 54 85 3 52 90 3 66 115 3 44 95 2 57 97 3 39 112 3 60 97 3 45 77 3 41 90 1 50 94 3 39 103 1 43 77 3 48 98 3 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
MOMAGE ~ MC30VRB
means1.5-0.51.51.1670.50.90.91.25-0.510.61.51.10.70.50.3331.50.6670.3750.8330.6431.11.1670.6431.50.50.5


ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MC30VRB2619.9710.7681.2060.245
Residuals12478.9560.637


Tukey Honest Significant Difference Comparisons
difflwruprp adj
31-30-0.5-3.8762.8761
32-301.5-1.1154.1150.91
34-301.167-1.1393.4730.976
36-300.5-1.6352.6351
37-300.9-1.1252.9250.996
39-300.9-0.8862.6860.977
41-301.25-0.5993.0990.686
42-30-0.5-3.8762.8761
43-301-0.9492.9490.972
44-300.6-1.1862.3861
45-301.5-1.8764.8760.996
46-301.1-0.6862.8860.835
48-300.7-1.0862.4860.999
49-300.5-2.8763.8761
50-300.333-1.412.0761
51-301.5-1.8764.8760.996
52-300.667-1.0762.411
54-300.375-1.4742.2241
55-300.833-0.9812.6480.993
56-300.643-1.252.5351
57-301.1-0.9253.1250.947
58-301.167-1.1393.4730.976
59-300.643-1.252.5351
60-301.5-0.6353.6350.61
62-300.5-1.8062.8061
66-300.5-1.6352.6351
32-312-1.6985.6980.95
34-311.667-1.825.1530.988
36-311-2.3764.3761
37-311.4-1.9074.7070.998
39-311.4-1.7674.5670.996
41-311.75-1.4524.9520.944
42-310-4.274.271
43-311.5-1.7614.7610.993
44-311.1-2.0674.2671
45-312-2.276.270.991
46-311.6-1.5674.7670.976
48-311.2-1.9674.3671
49-311-3.275.271
50-310.833-2.3093.9761
51-312-2.276.270.991
52-311.167-1.9764.3091
54-310.875-2.3274.0771
55-311.333-1.8494.5160.998
56-311.143-2.0854.3711
57-311.6-1.7074.9070.986
58-311.667-1.825.1530.988
59-311.143-2.0854.3711
60-312-1.3765.3760.88
62-311-2.4864.4861
66-311-2.3764.3761
34-32-0.333-3.092.4231
36-32-1-3.6151.6151
37-32-0.6-3.1261.9261
39-32-0.6-2.9391.7391
41-32-0.25-2.6372.1371
42-32-2-5.6981.6980.95
43-32-0.5-2.9651.9651
44-32-0.9-3.2391.4391
45-320-3.6983.6981
46-32-0.4-2.7391.9391
48-32-0.8-3.1391.5391
49-32-1-4.6982.6981
50-32-1.167-3.4731.1390.976
51-320-3.6983.6981
52-32-0.833-3.1391.4731
54-32-1.125-3.5121.2620.99
55-32-0.667-3.0271.6941
56-32-0.857-3.2781.5641
57-32-0.4-2.9262.1261
58-32-0.333-3.092.4231
59-32-0.857-3.2781.5641
60-320-2.6152.6151
62-32-1-3.7561.7561
66-32-1-3.6151.6151
36-34-0.667-2.9731.6391
37-34-0.267-2.4721.9381
39-34-0.267-2.2541.7211
41-340.083-1.9612.1271
42-34-1.667-5.1531.820.988
43-34-0.167-2.3021.9681
44-34-0.567-2.5541.4211
45-340.333-3.1533.821
46-34-0.067-2.0541.9211
48-34-0.467-2.4541.5211
49-34-0.667-4.1532.821
50-34-0.833-2.7821.1160.997
51-340.333-3.1533.821
52-34-0.5-2.4491.4491
54-34-0.792-2.8361.2520.999
55-34-0.333-2.3461.6791
56-34-0.524-2.6071.561
57-34-0.067-2.2722.1381
58-340-2.4652.4651
59-34-0.524-2.6071.561
60-340.333-1.9732.6391
62-34-0.667-3.1321.7991
66-34-0.667-2.9731.6391
37-360.4-1.6252.4251
39-360.4-1.3862.1861
41-360.75-1.0992.5990.999
42-36-1-4.3762.3761
43-360.5-1.4492.4491
44-360.1-1.6861.8861
45-361-2.3764.3761
46-360.6-1.1862.3861
48-360.2-1.5861.9861
49-360-3.3763.3761
50-36-0.167-1.911.5761
51-361-2.3764.3761
52-360.167-1.5761.911
54-36-0.125-1.9741.7241
55-360.333-1.4812.1481
56-360.143-1.752.0351
57-360.6-1.4252.6251
58-360.667-1.6392.9731
59-360.143-1.752.0351
60-361-1.1353.1350.991
62-360-2.3062.3061
66-360-2.1352.1351
39-370-1.6541.6541
41-370.35-1.3712.0711
42-37-1.4-4.7071.9070.998
43-370.1-1.7281.9281
44-37-0.3-1.9541.3541
45-370.6-2.7073.9071
46-370.2-1.4541.8541
48-37-0.2-1.8541.4541
49-37-0.4-3.7072.9071
50-37-0.567-2.1741.041
51-370.6-2.7073.9071
52-37-0.233-1.841.3741
54-37-0.525-2.2461.1961
55-37-0.067-1.7511.6171
56-37-0.257-2.0251.5111
57-370.2-1.712.111
58-370.267-1.9382.4721
59-37-0.257-2.0251.5111
60-370.6-1.4252.6251
62-37-0.4-2.6051.8051
66-37-0.4-2.4251.6251
41-390.35-1.0821.7821
42-39-1.4-4.5671.7670.996
43-390.1-1.4591.6591
44-39-0.3-1.651.051
45-390.6-2.5673.7671
46-390.2-1.151.551
48-39-0.2-1.551.151
49-39-0.4-3.5672.7671
50-39-0.567-1.8590.7260.996
51-390.6-2.5673.7671
52-39-0.233-1.5261.0591
54-39-0.525-1.9570.9071
55-39-0.067-1.4541.3211
56-39-0.257-1.7451.2311
57-390.2-1.4541.8541
58-390.267-1.7212.2541
59-39-0.257-1.7451.2311
60-390.6-1.1862.3861
62-39-0.4-2.3881.5881
66-39-0.4-2.1861.3861
42-41-1.75-4.9521.4520.944
43-41-0.25-1.8811.3811
44-41-0.65-2.0820.7820.994
45-410.25-2.9523.4521
46-41-0.15-1.5821.2821
48-41-0.55-1.9820.8821
49-41-0.75-3.9522.4521
50-41-0.917-2.2950.4610.716
51-410.25-2.9523.4521
52-41-0.583-1.9610.7950.998
54-41-0.875-2.3850.6350.901
55-41-0.417-1.8841.051
56-41-0.607-2.170.9550.999
57-41-0.15-1.8711.5711
58-41-0.083-2.1271.9611
59-41-0.607-2.170.9550.999
60-410.25-1.5992.0991
62-41-0.75-2.7941.2941
66-41-0.75-2.5991.0990.999
43-421.5-1.7614.7610.993
44-421.1-2.0674.2671
45-422-2.276.270.991
46-421.6-1.5674.7670.976
48-421.2-1.9674.3671
49-421-3.275.271
50-420.833-2.3093.9761
51-422-2.276.270.991
52-421.167-1.9764.3091
54-420.875-2.3274.0771
55-421.333-1.8494.5160.998
56-421.143-2.0854.3711
57-421.6-1.7074.9070.986
58-421.667-1.825.1530.988
59-421.143-2.0854.3711
60-422-1.3765.3760.88
62-421-2.4864.4861
66-421-2.3764.3761
44-43-0.4-1.9591.1591
45-430.5-2.7613.7611
46-430.1-1.4591.6591
48-43-0.3-1.8591.2591
49-43-0.5-3.7612.7611
50-43-0.667-2.1760.8430.996
51-430.5-2.7613.7611
52-43-0.333-1.8431.1761
54-43-0.625-2.2561.0061
55-43-0.167-1.7581.4251
56-43-0.357-2.0371.3231
57-430.1-1.7281.9281
58-430.167-1.9682.3021
59-43-0.357-2.0371.3231
60-430.5-1.4492.4491
62-43-0.5-2.6351.6351
66-43-0.5-2.4491.4491
45-440.9-2.2674.0671
46-440.5-0.851.851
48-440.1-1.251.451
49-44-0.1-3.2673.0671
50-44-0.267-1.5591.0261
51-440.9-2.2674.0671
52-440.067-1.2261.3591
54-44-0.225-1.6571.2071
55-440.233-1.1541.6211
56-440.043-1.4451.5311
57-440.5-1.1542.1541
58-440.567-1.4212.5541
59-440.043-1.4451.5311
60-440.9-0.8862.6860.977
62-44-0.1-2.0881.8881
66-44-0.1-1.8861.6861
46-45-0.4-3.5672.7671
48-45-0.8-3.9672.3671
49-45-1-5.273.271
50-45-1.167-4.3091.9761
51-450-4.274.271
52-45-0.833-3.9762.3091
54-45-1.125-4.3272.0771
55-45-0.667-3.8492.5161
56-45-0.857-4.0852.3711
57-45-0.4-3.7072.9071
58-45-0.333-3.823.1531
59-45-0.857-4.0852.3711
60-450-3.3763.3761
62-45-1-4.4862.4861
66-45-1-4.3762.3761
48-46-0.4-1.750.951
49-46-0.6-3.7672.5671
50-46-0.767-2.0590.5260.879
51-460.4-2.7673.5671
52-46-0.433-1.7260.8591
54-46-0.725-2.1570.7070.976
55-46-0.267-1.6541.1211
56-46-0.457-1.9451.0311
57-460-1.6541.6541
58-460.067-1.9212.0541
59-46-0.457-1.9451.0311
60-460.4-1.3862.1861
62-46-0.6-2.5881.3881
66-46-0.6-2.3861.1861
49-48-0.2-3.3672.9671
50-48-0.367-1.6590.9261
51-480.8-2.3673.9671
52-48-0.033-1.3261.2591
54-48-0.325-1.7571.1071
55-480.133-1.2541.5211
56-48-0.057-1.5451.4311
57-480.4-1.2542.0541
58-480.467-1.5212.4541
59-48-0.057-1.5451.4311
60-480.8-0.9862.5860.995
62-48-0.2-2.1881.7881
66-48-0.2-1.9861.5861
50-49-0.167-3.3092.9761
51-491-3.275.271
52-490.167-2.9763.3091
54-49-0.125-3.3273.0771
55-490.333-2.8493.5161
56-490.143-3.0853.3711
57-490.6-2.7073.9071
58-490.667-2.824.1531
59-490.143-3.0853.3711
60-491-2.3764.3761
62-490-3.4863.4861
66-490-3.3763.3761
51-501.167-1.9764.3091
52-500.333-0.8991.5661
54-500.042-1.3361.421
55-500.5-0.8311.8311
56-500.31-1.1261.7451
57-500.767-0.842.3740.988
58-500.833-1.1162.7820.997
59-500.31-1.1261.7451
60-501.167-0.5762.910.705
62-500.167-1.7822.1161
66-500.167-1.5761.911
52-51-0.833-3.9762.3091
54-51-1.125-4.3272.0771
55-51-0.667-3.8492.5161
56-51-0.857-4.0852.3711
57-51-0.4-3.7072.9071
58-51-0.333-3.823.1531
59-51-0.857-4.0852.3711
60-510-3.3763.3761
62-51-1-4.4862.4861
66-51-1-4.3762.3761
54-52-0.292-1.671.0861
55-520.167-1.1651.4981
56-52-0.024-1.461.4121
57-520.433-1.1742.041
58-520.5-1.4492.4491
59-52-0.024-1.461.4121
60-520.833-0.912.5760.988
62-52-0.167-2.1161.7821
66-52-0.167-1.911.5761
55-540.458-1.0091.9251
56-540.268-1.2951.831
57-540.725-0.9962.4460.998
58-540.792-1.2522.8360.999
59-540.268-1.2951.831
60-541.125-0.7242.9740.85
62-540.125-1.9192.1691
66-540.125-1.7241.9741
56-55-0.19-1.7121.3311
57-550.267-1.4171.9511
58-550.333-1.6792.3461
59-55-0.19-1.7121.3311
60-550.667-1.1482.4811
62-55-0.333-2.3461.6791
66-55-0.333-2.1481.4811
57-560.457-1.3112.2251
58-560.524-1.562.6071
59-560-1.6141.6141
60-560.857-1.0352.750.994
62-56-0.143-2.2261.9411
66-56-0.143-2.0351.751
58-570.067-2.1382.2721
59-57-0.457-2.2251.3111
60-570.4-1.6252.4251
62-57-0.6-2.8051.6051
66-57-0.6-2.6251.4251
59-58-0.524-2.6071.561
60-580.333-1.9732.6391
62-58-0.667-3.1321.7991
66-58-0.667-2.9731.6391
60-590.857-1.0352.750.994
62-59-0.143-2.2261.9411
66-59-0.143-2.0351.751
62-60-1-3.3061.3060.997
66-60-1-3.1351.1350.991
66-620-2.3062.3061


Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group261.0870.366
124
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Dec/12/t1260641627luzlx6aejebuzyd/3de891260641457.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/12/t1260641627luzlx6aejebuzyd/3de891260641457.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/12/t1260641627luzlx6aejebuzyd/4u8fw1260641457.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/12/t1260641627luzlx6aejebuzyd/4u8fw1260641457.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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