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COMPENDIUM 8

*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: One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)
Date of computation: Sun, 28 Nov 2010 22:59:55 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Nov/29/t1290985238xabuirduuazrg36.htm/, Retrieved Mon, 29 Nov 2010 00:00:41 +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/2010/Nov/29/t1290985238xabuirduuazrg36.htm/},
    year = {2010},
}
@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 = {2010},
    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:
Mother's verbal IQ compared to 30 month child ability
 
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 3 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 3 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 2 39 1 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 time6 seconds
R Server'George Udny Yule' @ 72.249.76.132
R Framework
error message
Warning: there are blank lines in the 'Data X' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.


ANOVA Model
MVRBIQ0 ~ MC30VRB
means1.5-0.500.50.10.50.40.30.50.50.1-0.50.20.423-0.50.667-0.50.50.50.1670.50.10.50.50.250.51.25


ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MC30VRB2611.2540.4330.9140.589
Residuals13362.990.474


Tukey Honest Significant Difference Comparisons
difflwruprp adj
31-30-0.5-3.4072.4071
32-300-2.2522.2521
34-300.5-1.3382.3381
36-300.1-1.6441.8441
37-300.5-1.2442.2441
39-300.4-1.1381.9381
41-300.3-1.2381.8381
42-300.5-2.4073.4071
43-300.5-1.1782.1781
44-300.1-1.4381.6381
45-30-0.5-3.4072.4071
46-300.2-1.3381.7381
48-300.423-1.0631.911
49-30-0.5-3.4072.4071
50-300.667-0.8342.1680.996
51-30-0.5-3.4072.4071
52-300.5-0.9871.9871
54-300.5-1.0922.0921
55-300.167-1.3961.7291
56-300.5-1.0922.0921
57-300.1-1.6441.8441
58-300.5-1.4862.4861
59-300.5-1.132.131
60-300.25-1.5882.0881
62-300.5-1.4862.4861
66-301.25-0.5883.0880.678
32-310.5-2.6843.6841
34-311-1.9073.9071
36-310.6-2.2483.4481
37-311-1.8483.8481
39-310.9-1.8273.6271
41-310.8-1.9273.5271
42-311-2.6774.6771
43-311-1.8083.8081
44-310.6-2.1273.3271
45-310-3.6773.6771
46-310.7-2.0273.4271
48-310.923-1.7753.6211
49-310-3.6773.6771
50-311.167-1.5393.8730.997
51-310-3.6773.6771
52-311-1.6983.6981
54-311-1.7583.7581
55-310.667-2.0743.4071
56-311-1.7583.7581
57-310.6-2.2483.4481
58-311-2.0024.0021
59-311-1.7793.7791
60-310.75-2.1573.6571
62-311-2.0024.0021
66-311.75-1.1574.6570.865
34-320.5-1.7522.7521
36-320.1-2.0752.2751
37-320.5-1.6752.6751
39-320.4-1.6142.4141
41-320.3-1.7142.3141
42-320.5-2.6843.6841
43-320.5-1.6232.6231
44-320.1-1.9142.1141
45-32-0.5-3.6842.6841
46-320.2-1.8142.2141
48-320.423-1.5522.3981
49-32-0.5-3.6842.6841
50-320.667-1.3192.6521
51-32-0.5-3.6842.6841
52-320.5-1.4752.4751
54-320.5-1.5552.5551
55-320.167-1.8662.1991
56-320.5-1.5552.5551
57-320.1-2.0752.2751
58-320.5-1.8732.8731
59-320.5-1.5842.5841
60-320.25-2.0022.5021
62-320.5-1.8732.8731
66-321.25-1.0023.5020.936
36-34-0.4-2.1441.3441
37-340-1.7441.7441
39-34-0.1-1.6381.4381
41-34-0.2-1.7381.3381
42-340-2.9072.9071
43-340-1.6781.6781
44-34-0.4-1.9381.1381
45-34-1-3.9071.9071
46-34-0.3-1.8381.2381
48-34-0.077-1.5631.411
49-34-1-3.9071.9071
50-340.167-1.3341.6681
51-34-1-3.9071.9071
52-340-1.4871.4871
54-340-1.5921.5921
55-34-0.333-1.8961.2291
56-340-1.5921.5921
57-34-0.4-2.1441.3441
58-340-1.9861.9861
59-340-1.631.631
60-34-0.25-2.0881.5881
62-340-1.9861.9861
66-340.75-1.0882.5880.999
37-360.4-1.2442.0441
39-360.3-1.1241.7241
41-360.2-1.2241.6241
42-360.4-2.4483.2481
43-360.4-1.1741.9741
44-360-1.4241.4241
45-36-0.6-3.4482.2481
46-360.1-1.3241.5241
48-360.323-1.0451.6911
49-36-0.6-3.4482.2481
50-360.567-0.8171.9510.999
51-36-0.6-3.4482.2481
52-360.4-0.9681.7681
54-360.4-1.0821.8821
55-360.067-1.3831.5171
56-360.4-1.0821.8821
57-360-1.6441.6441
58-360.4-1.4992.2991
59-360.4-1.1221.9221
60-360.15-1.5941.8941
62-360.4-1.4992.2991
66-361.15-0.5942.8940.734
39-37-0.1-1.5241.3241
41-37-0.2-1.6241.2241
42-370-2.8482.8481
43-370-1.5741.5741
44-37-0.4-1.8241.0241
45-37-1-3.8481.8481
46-37-0.3-1.7241.1241
48-37-0.077-1.4451.2911
49-37-1-3.8481.8481
50-370.167-1.2171.5511
51-37-1-3.8481.8481
52-370-1.3681.3681
54-370-1.4821.4821
55-37-0.333-1.7831.1171
56-370-1.4821.4821
57-37-0.4-2.0441.2441
58-370-1.8991.8991
59-370-1.5221.5221
60-37-0.25-1.9941.4941
62-370-1.8991.8991
66-370.75-0.9942.4940.997
41-39-0.1-1.2631.0631
42-390.1-2.6272.8271
43-390.1-1.2431.4431
44-39-0.3-1.4630.8631
45-39-0.9-3.6271.8271
46-39-0.2-1.3630.9631
48-390.023-1.071.1171
49-39-0.9-3.6271.8271
50-390.267-0.8471.381
51-39-0.9-3.6271.8271
52-390.1-0.9941.1941
54-390.1-1.1331.3331
55-39-0.233-1.4280.9611
56-390.1-1.1331.3331
57-39-0.3-1.7241.1241
58-390.1-1.6111.8111
59-390.1-1.1811.3811
60-39-0.15-1.6881.3881
62-390.1-1.6111.8111
66-390.85-0.6882.3880.939
42-410.2-2.5272.9271
43-410.2-1.1431.5431
44-41-0.2-1.3630.9631
45-41-0.8-3.5271.9271
46-41-0.1-1.2631.0631
48-410.123-0.971.2171
49-41-0.8-3.5271.9271
50-410.367-0.7471.481
51-41-0.8-3.5271.9271
52-410.2-0.8941.2941
54-410.2-1.0331.4331
55-41-0.133-1.3281.0611
56-410.2-1.0331.4331
57-41-0.2-1.6241.2241
58-410.2-1.5111.9111
59-410.2-1.0811.4811
60-41-0.05-1.5881.4881
62-410.2-1.5111.9111
66-410.95-0.5882.4880.834
43-420-2.8082.8081
44-42-0.4-3.1272.3271
45-42-1-4.6772.6771
46-42-0.3-3.0272.4271
48-42-0.077-2.7752.6211
49-42-1-4.6772.6771
50-420.167-2.5392.8731
51-42-1-4.6772.6771
52-420-2.6982.6981
54-420-2.7582.7581
55-42-0.333-3.0742.4071
56-420-2.7582.7581
57-42-0.4-3.2482.4481
58-420-3.0023.0021
59-420-2.7792.7791
60-42-0.25-3.1572.6571
62-420-3.0023.0021
66-420.75-2.1573.6571
44-43-0.4-1.7430.9431
45-43-1-3.8081.8081
46-43-0.3-1.6431.0431
48-43-0.077-1.361.2061
49-43-1-3.8081.8081
50-430.167-1.1331.4671
51-43-1-3.8081.8081
52-430-1.2831.2831
54-430-1.4041.4041
55-43-0.333-1.7041.0371
56-430-1.4041.4041
57-43-0.4-1.9741.1741
58-430-1.8381.8381
59-430-1.4461.4461
60-43-0.25-1.9281.4281
62-430-1.8381.8381
66-430.75-0.9282.4280.995
45-44-0.6-3.3272.1271
46-440.1-1.0631.2631
48-440.323-0.771.4171
49-44-0.6-3.3272.1271
50-440.567-0.5471.680.975
51-44-0.6-3.3272.1271
52-440.4-0.6941.4941
54-440.4-0.8331.6331
55-440.067-1.1281.2611
56-440.4-0.8331.6331
57-440-1.4241.4241
58-440.4-1.3112.1111
59-440.4-0.8811.6811
60-440.15-1.3881.6881
62-440.4-1.3112.1111
66-441.15-0.3882.6880.482
46-450.7-2.0273.4271
48-450.923-1.7753.6211
49-450-3.6773.6771
50-451.167-1.5393.8730.997
51-450-3.6773.6771
52-451-1.6983.6981
54-451-1.7583.7581
55-450.667-2.0743.4071
56-451-1.7583.7581
57-450.6-2.2483.4481
58-451-2.0024.0021
59-451-1.7793.7791
60-450.75-2.1573.6571
62-451-2.0024.0021
66-451.75-1.1574.6570.865
48-460.223-0.871.3171
49-46-0.7-3.4272.0271
50-460.467-0.6471.580.998
51-46-0.7-3.4272.0271
52-460.3-0.7941.3941
54-460.3-0.9331.5331
55-46-0.033-1.2281.1611
56-460.3-0.9331.5331
57-46-0.1-1.5241.3241
58-460.3-1.4112.0111
59-460.3-0.9811.5811
60-460.05-1.4881.5881
62-460.3-1.4112.0111
66-461.05-0.4882.5880.671
49-48-0.923-3.6211.7751
50-480.244-0.7971.2841
51-48-0.923-3.6211.7751
52-480.077-0.9431.0971
54-480.077-1.0911.2451
55-48-0.256-1.3840.8711
56-480.077-1.0911.2451
57-48-0.323-1.6911.0451
58-480.077-1.5881.7421
59-480.077-1.1421.2961
60-48-0.173-1.661.3131
62-480.077-1.5881.7421
66-480.827-0.662.3130.934
50-491.167-1.5393.8730.997
51-490-3.6773.6771
52-491-1.6983.6981
54-491-1.7583.7581
55-490.667-2.0743.4071
56-491-1.7583.7581
57-490.6-2.2483.4481
58-491-2.0024.0021
59-491-1.7793.7791
60-490.75-2.1573.6571
62-491-2.0024.0021
66-491.75-1.1574.6570.865
51-50-1.167-3.8731.5390.997
52-50-0.167-1.2070.8741
54-50-0.167-1.3531.021
55-50-0.5-1.6460.6460.997
56-50-0.167-1.3531.021
57-50-0.567-1.9510.8170.999
58-50-0.167-1.8451.5121
59-50-0.167-1.4031.071
60-50-0.417-1.9181.0841
62-50-0.167-1.8451.5121
66-500.583-0.9182.0840.999
52-511-1.6983.6981
54-511-1.7583.7581
55-510.667-2.0743.4071
56-511-1.7583.7581
57-510.6-2.2483.4481
58-511-2.0024.0021
59-511-1.7793.7791
60-510.75-2.1573.6571
62-511-2.0024.0021
66-511.75-1.1574.6570.865
54-520-1.1681.1681
55-52-0.333-1.4610.7941
56-520-1.1681.1681
57-52-0.4-1.7680.9681
58-520-1.6651.6651
59-520-1.2191.2191
60-52-0.25-1.7371.2371
62-520-1.6651.6651
66-520.75-0.7372.2370.977
55-54-0.333-1.5970.931
56-540-1.31.31
57-54-0.4-1.8821.0821
58-540-1.761.761
59-540-1.3461.3461
60-54-0.25-1.8421.3421
62-540-1.761.761
66-540.75-0.8422.3420.99
56-550.333-0.931.5971
57-55-0.067-1.5171.3831
58-550.333-1.42.0671
59-550.333-0.9771.6441
60-550.083-1.4791.6461
62-550.333-1.42.0671
66-551.083-0.4792.6460.64
57-56-0.4-1.8821.0821
58-560-1.761.761
59-560-1.3461.3461
60-56-0.25-1.8421.3421
62-560-1.761.761
66-560.75-0.8422.3420.99
58-570.4-1.4992.2991
59-570.4-1.1221.9221
60-570.15-1.5941.8941
62-570.4-1.4992.2991
66-571.15-0.5942.8940.734
59-580-1.7941.7941
60-58-0.25-2.2361.7361
62-580-2.1232.1231
66-580.75-1.2362.7361
60-59-0.25-1.881.381
62-590-1.7941.7941
66-590.75-0.882.380.993
62-600.25-1.7362.2361
66-601-0.8382.8380.948
66-620.75-1.2362.7361


Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group260.620.922
133
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Nov/29/t1290985238xabuirduuazrg36/3yd6i1290985188.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/29/t1290985238xabuirduuazrg36/3yd6i1290985188.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Nov/29/t1290985238xabuirduuazrg36/494521290985188.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/29/t1290985238xabuirduuazrg36/494521290985188.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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