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*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: Tue, 15 Dec 2009 05:24:40 -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/15/t1260879956ditzwkry7mznulm.htm/, Retrieved Tue, 15 Dec 2009 13:26:02 +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/15/t1260879956ditzwkry7mznulm.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 56 2 48 2 32 1 44 2 39 2 34 3 41 3 50 1 39 3 62 2 52 3 37 2 50 1 41 2 55 2 41 3 56 2 39 1 52 2 46 2 44 2 41 3 50 3 50 2 44 1 52 2 54 2 44 3 52 2 37 3 52 3 50 1 36 1 50 3 52 3 55 2 31 1 36 1 49 1 42 2 37 2 41 1 30 1 52 3 30 1 44 2 66 3 48 2 43 2 57 1 46 3 54 3 48 2 48 1 62 3 58 2 58 2 62 2 46 1 34 2 66 3 52 2 55 1 55 3 57 1 56 2 55 3 56 1 54 3 55 2 46 1 52 2 32 1 44 2 46 2 59 3 46 3 46 3 54 3 66 2 56 2 59 2 57 3 52 1 48 1 44 2 41 1 50 3 48 2 48 2 59 2 46 2 54 2 55 3 54 2 59 2 44 3 54 3 52 3 66 2 44 2 57 1 39 3 60 2 45 2 41 2 50 2 39 2 43 1 48 2 37 2 58 1 46 1 43 2 44 3 34 1 30 3 50 1 39 2 37 2 55 1 39 3 36 2 43 3 50 2 55 2 43 3 60 2 48 3 30 2 43 1 39 2 52 1 39 1 39 3 56 1 59 2 46 2 57 2 50 1 54 3 50 3 60 3 59 2 41 1 48 2 59 3 60 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 time4 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


ANOVA Model
RespVar ~ AgeGroup
means2000-0.50.2-0.70-1-0.167-0.4000-10.417-10.1670.250.1110.2860.20.3330100.5


ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
AgeGroup2619.8930.7651.530.064
Residuals12462.0010.5


Tukey Honest Significant Difference Comparisons
difflwruprp adj
31-300-2.9912.9911
32-300-2.3172.3171
34-300-2.0432.0431
36-30-0.5-2.3921.3921
37-300.2-1.5951.9951
39-30-0.7-2.2830.8830.996
41-300-1.6381.6381
42-30-1-3.9911.9911
43-30-0.167-1.8941.561
44-30-0.4-1.9831.1831
45-300-2.9912.9911
46-300-1.5831.5831
48-300-1.5831.5831
49-30-1-3.9911.9911
50-300.417-1.1281.9611
51-30-1-3.9911.9911
52-300.167-1.3781.7111
54-300.25-1.3881.8881
55-300.111-1.4971.7191
56-300.286-1.3911.9631
57-300.2-1.5951.9951
58-300.333-1.712.3771
59-300-1.6771.6771
60-301-0.8922.8920.96
62-300-2.0432.0431
66-300.5-1.3922.3921
32-310-3.2773.2771
34-310-3.0893.0891
36-31-0.5-3.4912.4911
37-310.2-2.7313.1311
39-31-0.7-3.5062.1061
41-310-2.8382.8381
42-31-1-4.7842.7841
43-31-0.167-3.0572.7231
44-31-0.4-3.2062.4061
45-310-3.7843.7841
46-310-2.8062.8061
48-310-2.8062.8061
49-31-1-4.7842.7841
50-310.417-2.3683.2011
51-31-1-4.7842.7841
52-310.167-2.6182.9511
54-310.25-2.5883.0881
55-310.111-2.7092.9311
56-310.286-2.5743.1461
57-310.2-2.7313.1311
58-310.333-2.7563.4231
59-310-2.862.861
60-311-1.9913.9911
62-310-3.0893.0891
66-310.5-2.4913.4911
34-320-2.4422.4421
36-32-0.5-2.8171.8171
37-320.2-2.0382.4381
39-32-0.7-2.7721.3721
41-320-2.1152.1151
42-32-1-4.2772.2771
43-32-0.167-2.3512.0181
44-32-0.4-2.4721.6721
45-320-3.2773.2771
46-320-2.0722.0721
48-320-2.0722.0721
49-32-1-4.2772.2771
50-320.417-1.6272.461
51-32-1-4.2772.2771
52-320.167-1.8772.211
54-320.25-1.8652.3651
55-320.111-1.982.2031
56-320.286-1.8592.4311
57-320.2-2.0382.4381
58-320.333-2.1092.7761
59-320-2.1452.1451
60-321-1.3173.3170.997
62-320-2.4422.4421
66-320.5-1.8172.8171
36-34-0.5-2.5431.5431
37-340.2-1.7542.1541
39-34-0.7-2.4611.0610.999
41-340-1.8111.8111
42-34-1-4.0892.0891
43-34-0.167-2.0591.7251
44-34-0.4-2.1611.3611
45-340-3.0893.0891
46-340-1.7611.7611
48-340-1.7611.7611
49-34-1-4.0892.0891
50-340.417-1.312.1441
51-34-1-4.0892.0891
52-340.167-1.561.8941
54-340.25-1.5612.0611
55-340.111-1.6731.8951
56-340.286-1.5612.1321
57-340.2-1.7542.1541
58-340.333-1.8512.5181
59-340-1.8461.8461
60-341-1.0433.0430.984
62-340-2.1852.1851
66-340.5-1.5432.5431
37-360.7-1.0952.4950.999
39-36-0.2-1.7831.3831
41-360.5-1.1382.1381
42-36-0.5-3.4912.4911
43-360.333-1.3942.061
44-360.1-1.4831.6831
45-360.5-2.4913.4911
46-360.5-1.0832.0831
48-360.5-1.0832.0831
49-36-0.5-3.4912.4911
50-360.917-0.6282.4610.878
51-36-0.5-3.4912.4911
52-360.667-0.8782.2110.997
54-360.75-0.8882.3880.993
55-360.611-0.9972.2191
56-360.786-0.8912.4630.991
57-360.7-1.0952.4950.999
58-360.833-1.212.8770.999
59-360.5-1.1772.1771
60-361.5-0.3923.3920.356
62-360.5-1.5432.5431
66-361-0.8922.8920.96
39-37-0.9-2.3650.5650.838
41-37-0.2-1.7251.3251
42-37-1.2-4.1311.7310.999
43-37-0.367-1.9871.2531
44-37-0.6-2.0650.8650.999
45-37-0.2-3.1312.7311
46-37-0.2-1.6651.2651
48-37-0.2-1.6651.2651
49-37-1.2-4.1311.7310.999
50-370.217-1.2071.6411
51-37-1.2-4.1311.7310.999
52-37-0.033-1.4571.3911
54-370.05-1.4751.5751
55-37-0.089-1.5811.4031
56-370.086-1.4811.6521
57-370-1.6921.6921
58-370.133-1.8212.0871
59-37-0.2-1.7671.3671
60-370.8-0.9952.5950.995
62-37-0.2-2.1541.7541
66-370.3-1.4952.0951
41-390.7-0.5691.9690.938
42-39-0.3-3.1062.5061
43-390.533-0.8481.9150.999
44-390.3-0.8971.4971
45-390.7-2.1063.5061
46-390.7-0.4971.8970.892
48-390.7-0.4971.8970.892
49-39-0.3-3.1062.5061
50-391.117-0.0292.2620.067
51-39-0.3-3.1062.5061
52-390.867-0.2792.0120.454
54-390.95-0.3192.2190.477
55-390.811-0.4182.040.73
56-390.986-0.3332.3040.479
57-390.9-0.5652.3650.838
58-391.033-0.7282.7950.89
59-390.7-0.6182.0180.959
60-391.70.1173.2830.02
62-390.7-1.0612.4610.999
66-391.2-0.3832.7830.45
42-41-1-3.8381.8381
43-41-0.167-1.6121.2781
44-41-0.4-1.6690.8691
45-410-2.8382.8381
46-410-1.2691.2691
48-410-1.2691.2691
49-41-1-3.8381.8381
50-410.417-0.8051.6381
51-41-1-3.8381.8381
52-410.167-1.0551.3881
54-410.25-1.0881.5881
55-410.111-1.1891.4111
56-410.286-1.0991.671
57-410.2-1.3251.7251
58-410.333-1.4782.1451
59-410-1.3851.3851
60-411-0.6382.6380.846
62-410-1.8111.8111
66-410.5-1.1382.1381
43-420.833-2.0573.7231
44-420.6-2.2063.4061
45-421-2.7844.7841
46-421-1.8063.8061
48-421-1.8063.8061
49-420-3.7843.7841
50-421.417-1.3684.2010.974
51-420-3.7843.7841
52-421.167-1.6183.9510.998
54-421.25-1.5884.0880.996
55-421.111-1.7093.9310.999
56-421.286-1.5744.1460.995
57-421.2-1.7314.1310.999
58-421.333-1.7564.4230.997
59-421-1.863.861
60-422-0.9914.9910.706
62-421-2.0894.0891
66-421.5-1.4914.4910.978
44-43-0.233-1.6151.1481
45-430.167-2.7233.0571
46-430.167-1.2151.5481
48-430.167-1.2151.5481
49-43-0.833-3.7232.0571
50-430.583-0.7541.9210.997
51-43-0.833-3.7232.0571
52-430.333-1.0041.6711
54-430.417-1.0281.8621
55-430.278-1.1321.6881
56-430.452-1.0361.9411
57-430.367-1.2531.9871
58-430.5-1.3922.3921
59-430.167-1.3221.6551
60-431.167-0.562.8940.687
62-430.167-1.7252.0591
66-430.667-1.062.3940.999
45-440.4-2.4063.2061
46-440.4-0.7971.5971
48-440.4-0.7971.5971
49-44-0.6-3.4062.2061
50-440.817-0.3291.9620.58
51-44-0.6-3.4062.2061
52-440.567-0.5791.7120.982
54-440.65-0.6191.9190.972
55-440.511-0.7181.740.998
56-440.686-0.6332.0040.967
57-440.6-0.8652.0650.999
58-440.733-1.0282.4950.998
59-440.4-0.9181.7181
60-441.4-0.1832.9830.167
62-440.4-1.3612.1611
66-440.9-0.6832.4830.917
46-450-2.8062.8061
48-450-2.8062.8061
49-45-1-4.7842.7841
50-450.417-2.3683.2011
51-45-1-4.7842.7841
52-450.167-2.6182.9511
54-450.25-2.5883.0881
55-450.111-2.7092.9311
56-450.286-2.5743.1461
57-450.2-2.7313.1311
58-450.333-2.7563.4231
59-450-2.862.861
60-451-1.9913.9911
62-450-3.0893.0891
66-450.5-2.4913.4911
48-460-1.1971.1971
49-46-1-3.8061.8061
50-460.417-0.7291.5621
51-46-1-3.8061.8061
52-460.167-0.9791.3121
54-460.25-1.0191.5191
55-460.111-1.1181.341
56-460.286-1.0331.6041
57-460.2-1.2651.6651
58-460.333-1.4282.0951
59-460-1.3181.3181
60-461-0.5832.5830.8
62-460-1.7611.7611
66-460.5-1.0832.0831
49-48-1-3.8061.8061
50-480.417-0.7291.5621
51-48-1-3.8061.8061
52-480.167-0.9791.3121
54-480.25-1.0191.5191
55-480.111-1.1181.341
56-480.286-1.0331.6041
57-480.2-1.2651.6651
58-480.333-1.4282.0951
59-480-1.3181.3181
60-481-0.5832.5830.8
62-480-1.7611.7611
66-480.5-1.0832.0831
50-491.417-1.3684.2010.974
51-490-3.7843.7841
52-491.167-1.6183.9510.998
54-491.25-1.5884.0880.996
55-491.111-1.7093.9310.999
56-491.286-1.5744.1460.995
57-491.2-1.7314.1310.999
58-491.333-1.7564.4230.997
59-491-1.863.861
60-492-0.9914.9910.706
62-491-2.0894.0891
66-491.5-1.4914.4910.978
51-50-1.417-4.2011.3680.974
52-50-0.25-1.3420.8421
54-50-0.167-1.3881.0551
55-50-0.306-1.4850.8741
56-50-0.131-1.4031.1411
57-50-0.217-1.6411.2071
58-50-0.083-1.811.6441
59-50-0.417-1.6890.8561
60-500.583-0.9612.1281
62-50-0.417-2.1441.311
66-500.083-1.4611.6281
52-511.167-1.6183.9510.998
54-511.25-1.5884.0880.996
55-511.111-1.7093.9310.999
56-511.286-1.5744.1460.995
57-511.2-1.7314.1310.999
58-511.333-1.7564.4230.997
59-511-1.863.861
60-512-0.9914.9910.706
62-511-2.0894.0891
66-511.5-1.4914.4910.978
54-520.083-1.1381.3051
55-52-0.056-1.2351.1241
56-520.119-1.1531.3911
57-520.033-1.3911.4571
58-520.167-1.561.8941
59-52-0.167-1.4391.1061
60-520.833-0.7112.3780.951
62-52-0.167-1.8941.561
66-520.333-1.2111.8781
55-54-0.139-1.4391.1611
56-540.036-1.3491.421
57-54-0.05-1.5751.4751
58-540.083-1.7281.8951
59-54-0.25-1.6351.1351
60-540.75-0.8882.3880.993
62-54-0.25-2.0611.5611
66-540.25-1.3881.8881
56-550.175-1.1741.5231
57-550.089-1.4031.5811
58-550.222-1.5612.0061
59-55-0.111-1.4591.2371
60-550.889-0.7192.4970.937
62-55-0.111-1.8951.6731
66-550.389-1.2191.9971
57-56-0.086-1.6521.4811
58-560.048-1.7991.8941
59-56-0.286-1.7161.1441
60-560.714-0.9632.3910.998
62-56-0.286-2.1321.5611
66-560.214-1.4631.8911
58-570.133-1.8212.0871
59-57-0.2-1.7671.3671
60-570.8-0.9952.5950.995
62-57-0.2-2.1541.7541
66-570.3-1.4952.0951
59-58-0.333-2.181.5131
60-580.667-1.3772.711
62-58-0.333-2.5181.8511
66-580.167-1.8772.211
60-591-0.6772.6770.873
62-590-1.8461.8461
66-590.5-1.1772.1771
62-60-1-3.0431.0430.984
66-60-0.5-2.3921.3921
66-620.5-1.5432.5431


Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group261.220.233
124
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Dec/15/t1260879956ditzwkry7mznulm/3gx3j1260879876.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/15/t1260879956ditzwkry7mznulm/3gx3j1260879876.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/15/t1260879956ditzwkry7mznulm/47xi61260879876.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/15/t1260879956ditzwkry7mznulm/47xi61260879876.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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