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5

*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: Mon, 29 Nov 2010 22:34:29 +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/t12910701708iofpoxd8328uci.htm/, Retrieved Mon, 29 Nov 2010 23:36:10 +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/t12910701708iofpoxd8328uci.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:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
1 36 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 48 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 2 41 1 44 2 66 3 48 2 43 2 57 1 46 3 54 3 48 2 48 1 52 1 62 3 58 2 58 2 62 2 48 2 46 1 34 2 66 3 52 2 55 1 55 3 57 5 56 1 55 3 56 1 54 2 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 3 48 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 1 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 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 time5 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk


ANOVA Model
MWARM30 ~ MC30VRB
means2000-0.60.2-0.70-1-0.167-0.4000.077-10.417-10.0770.25-0.1110.50.20.3330100.5


ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MC30VRB2621.9910.8461.5620.055
Residuals13170.9520.542


Tukey Honest Significant Difference Comparisons
difflwruprp adj
31-300-3.1093.1091
32-300-2.4092.4091
34-300-2.1242.1241
36-30-0.6-2.4661.2661
37-300.2-1.6662.0661
39-30-0.7-2.3450.9450.998
41-300-1.6711.6711
42-30-1-4.1092.1091
43-30-0.167-1.9621.6291
44-30-0.4-2.0451.2451
45-300-3.1093.1091
46-300-1.6451.6451
48-300.077-1.5131.6671
49-30-1-4.1092.1091
50-300.417-1.1892.0221
51-30-1-4.1092.1091
52-300.077-1.5131.6671
54-300.25-1.4531.9531
55-30-0.111-1.7821.561
56-300.5-1.2032.2031
57-300.2-1.6662.0661
58-300.333-1.7912.4571
59-300-1.7431.7431
60-301-0.9672.9670.975
62-300-2.1242.1241
66-300.5-1.4672.4671
32-310-3.4063.4061
34-310-3.2113.2111
36-31-0.6-3.6472.4471
37-310.2-2.8473.2471
39-31-0.7-3.6172.2171
41-310-2.9322.9321
42-31-1-4.9332.9331
43-31-0.167-3.1712.8371
44-31-0.4-3.3172.5171
45-310-3.9333.9331
46-310-2.9172.9171
48-310.077-2.8092.9631
49-31-1-4.9332.9331
50-310.417-2.4783.3111
51-31-1-4.9332.9331
52-310.077-2.8092.9631
54-310.25-2.73.21
55-31-0.111-3.0432.821
56-310.5-2.453.451
57-310.2-2.8473.2471
58-310.333-2.8783.5451
59-310-2.9732.9731
60-311-2.1094.1091
62-310-3.2113.2111
66-310.5-2.6093.6091
34-320-2.5392.5391
36-32-0.6-2.9271.7271
37-320.2-2.1272.5271
39-32-0.7-2.8541.4541
41-320-2.1742.1741
42-32-1-4.4062.4061
43-32-0.167-2.4372.1041
44-32-0.4-2.5541.7541
45-320-3.4063.4061
46-320-2.1542.1541
48-320.077-2.0362.1891
49-32-1-4.4062.4061
50-320.417-1.7072.5411
51-32-1-4.4062.4061
52-320.077-2.0362.1891
54-320.25-1.9492.4491
55-32-0.111-2.2852.0631
56-320.5-1.6992.6991
57-320.2-2.1272.5271
58-320.333-2.2052.8721
59-320-2.232.231
60-321-1.4093.4090.998
62-320-2.5392.5391
66-320.5-1.9092.9091
36-34-0.6-2.6311.4311
37-340.2-1.8312.2311
39-34-0.7-2.5311.1311
41-340-1.8541.8541
42-34-1-4.2112.2111
43-34-0.167-2.1331.81
44-34-0.4-2.2311.4311
45-340-3.2113.2111
46-340-1.8311.8311
48-340.077-1.7041.8581
49-34-1-4.2112.2111
50-340.417-1.3792.2121
51-34-1-4.2112.2111
52-340.077-1.7041.8581
54-340.25-1.6332.1331
55-34-0.111-1.9651.7431
56-340.5-1.3832.3831
57-340.2-1.8312.2311
58-340.333-1.9372.6041
59-340-1.9191.9191
60-341-1.1243.1240.99
62-340-2.2712.2711
66-340.5-1.6242.6241
37-360.8-0.9592.5590.994
39-36-0.1-1.6231.4231
41-360.6-0.9512.1510.999
42-36-0.4-3.4472.6471
43-360.433-1.2512.1171
44-360.2-1.3231.7231
45-360.6-2.4473.6471
46-360.6-0.9232.1230.999
48-360.677-0.7872.140.992
49-36-0.4-3.4472.6471
50-361.017-0.4642.4970.658
51-36-0.4-3.4472.6471
52-360.677-0.7872.140.992
54-360.85-0.7352.4350.955
55-360.489-1.0622.041
56-361.1-0.4852.6850.638
57-360.8-0.9592.5590.994
58-360.933-1.0982.9640.993
59-360.6-1.0282.2281
60-361.6-0.2663.4660.214
62-360.6-1.4312.6311
66-361.1-0.7662.9660.886
39-37-0.9-2.4230.6230.884
41-37-0.2-1.7511.3511
42-37-1.2-4.2471.8470.999
43-37-0.367-2.0511.3171
44-37-0.6-2.1230.9230.999
45-37-0.2-3.2472.8471
46-37-0.2-1.7231.3231
48-37-0.123-1.5871.341
49-37-1.2-4.2471.8470.999
50-370.217-1.2641.6971
51-37-1.2-4.2471.8470.999
52-37-0.123-1.5871.341
54-370.05-1.5351.6351
55-37-0.311-1.8621.241
56-370.3-1.2851.8851
57-370-1.7591.7591
58-370.133-1.8982.1641
59-37-0.2-1.8281.4281
60-370.8-1.0662.6660.997
62-37-0.2-2.2311.8311
66-370.3-1.5662.1661
41-390.7-0.5781.9780.944
42-39-0.3-3.2172.6171
43-390.533-0.9031.971
44-390.3-0.9441.5441
45-390.7-2.2173.6171
46-390.7-0.5441.9440.926
48-390.777-0.3931.9470.721
49-39-0.3-3.2172.6171
50-391.117-0.0742.3070.099
51-39-0.3-3.2172.6171
52-390.777-0.3931.9470.721
54-390.95-0.3692.2690.562
55-390.589-0.6891.8670.993
56-391.2-0.1192.5190.132
57-390.9-0.6232.4230.884
58-391.033-0.7972.8640.924
59-390.7-0.6712.0710.974
60-391.70.0553.3450.034
62-390.7-1.1312.5311
66-391.2-0.4452.8450.535
42-41-1-3.9321.9321
43-41-0.167-1.6321.2991
44-41-0.4-1.6780.8781
45-410-2.9322.9321
46-410-1.2781.2781
48-410.077-1.1291.2831
49-41-1-3.9321.9321
50-410.417-0.811.6431
51-41-1-3.9321.9321
52-410.077-1.1291.2831
54-410.25-1.1011.6011
55-41-0.111-1.4221.21
56-410.5-0.8511.8511
57-410.2-1.3511.7511
58-410.333-1.5212.1871
59-410-1.4021.4021
60-411-0.6712.6710.871
62-410-1.8541.8541
66-410.5-1.1712.1711
43-420.833-2.1713.8371
44-420.6-2.3173.5171
45-421-2.9334.9331
46-421-1.9173.9171
48-421.077-1.8093.9631
49-420-3.9333.9331
50-421.417-1.4784.3110.984
51-420-3.9333.9331
52-421.077-1.8093.9631
54-421.25-1.74.20.998
55-420.889-2.0433.821
56-421.5-1.454.450.975
57-421.2-1.8474.2470.999
58-421.333-1.8784.5450.998
59-421-1.9733.9731
60-422-1.1095.1090.775
62-421-2.2114.2111
66-421.5-1.6094.6090.987
44-43-0.233-1.671.2031
45-430.167-2.8373.1711
46-430.167-1.271.6031
48-430.244-1.1291.6161
49-43-0.833-3.8372.1711
50-430.583-0.8071.9740.998
51-43-0.833-3.8372.1711
52-430.244-1.1291.6161
54-430.417-1.0851.9191
55-430.056-1.411.5211
56-430.667-0.8352.1690.996
57-430.367-1.3172.0511
58-430.5-1.4672.4671
59-430.167-1.3811.7141
60-431.167-0.6292.9620.758
62-430.167-1.82.1331
66-430.667-1.1292.4621
45-440.4-2.5173.3171
46-440.4-0.8441.6441
48-440.477-0.6931.6470.999
49-44-0.6-3.5172.3171
50-440.817-0.3742.0070.661
51-44-0.6-3.5172.3171
52-440.477-0.6931.6470.999
54-440.65-0.6691.9690.983
55-440.289-0.9891.5671
56-440.9-0.4192.2190.671
57-440.6-0.9232.1230.999
58-440.733-1.0972.5640.999
59-440.4-0.9711.7711
60-441.4-0.2453.0450.227
62-440.4-1.4312.2311
66-440.9-0.7452.5450.944
46-450-2.9172.9171
48-450.077-2.8092.9631
49-45-1-4.9332.9331
50-450.417-2.4783.3111
51-45-1-4.9332.9331
52-450.077-2.8092.9631
54-450.25-2.73.21
55-45-0.111-3.0432.821
56-450.5-2.453.451
57-450.2-2.8473.2471
58-450.333-2.8783.5451
59-450-2.9732.9731
60-451-2.1094.1091
62-450-3.2113.2111
66-450.5-2.6093.6091
48-460.077-1.0931.2471
49-46-1-3.9171.9171
50-460.417-0.7741.6071
51-46-1-3.9171.9171
52-460.077-1.0931.2471
54-460.25-1.0691.5691
55-46-0.111-1.3891.1671
56-460.5-0.8191.8191
57-460.2-1.3231.7231
58-460.333-1.4972.1641
59-460-1.3711.3711
60-461-0.6452.6450.853
62-460-1.8311.8311
66-460.5-1.1452.1451
49-48-1.077-3.9631.8091
50-480.34-0.7741.4531
51-48-1.077-3.9631.8091
52-480-1.0911.0911
54-480.173-1.0771.4231
55-48-0.188-1.3941.0181
56-480.423-0.8271.6731
57-480.123-1.341.5871
58-480.256-1.5252.0381
59-48-0.077-1.3811.2271
60-480.923-0.6672.5130.901
62-48-0.077-1.8581.7041
66-480.423-1.1672.0131
50-491.417-1.4784.3110.984
51-490-3.9333.9331
52-491.077-1.8093.9631
54-491.25-1.74.20.998
55-490.889-2.0433.821
56-491.5-1.454.450.975
57-491.2-1.8474.2470.999
58-491.333-1.8784.5450.998
59-491-1.9733.9731
60-492-1.1095.1090.775
62-491-2.2114.2111
66-491.5-1.6094.6090.987
51-50-1.417-4.3111.4780.984
52-50-0.34-1.4530.7741
54-50-0.167-1.4361.1031
55-50-0.528-1.7540.6990.997
56-500.083-1.1861.3531
57-50-0.217-1.6971.2641
58-50-0.083-1.8791.7121
59-50-0.417-1.7390.9061
60-500.583-1.0222.1891
62-50-0.417-2.2121.3791
66-500.083-1.5221.6891
52-511.077-1.8093.9631
54-511.25-1.74.20.998
55-510.889-2.0433.821
56-511.5-1.454.450.975
57-511.2-1.8474.2470.999
58-511.333-1.8784.5450.998
59-511-1.9733.9731
60-512-1.1095.1090.775
62-511-2.2114.2111
66-511.5-1.6094.6090.987
54-520.173-1.0771.4231
55-52-0.188-1.3941.0181
56-520.423-0.8271.6731
57-520.123-1.341.5871
58-520.256-1.5252.0381
59-52-0.077-1.3811.2271
60-520.923-0.6672.5130.901
62-52-0.077-1.8581.7041
66-520.423-1.1672.0131
55-54-0.361-1.7130.991
56-540.25-1.1411.6411
57-54-0.05-1.6351.5351
58-540.083-1.81.9661
59-54-0.25-1.6891.1891
60-540.75-0.9532.4530.996
62-54-0.25-2.1331.6331
66-540.25-1.4531.9531
56-550.611-0.741.9630.994
57-550.311-1.241.8621
58-550.444-1.412.2991
59-550.111-1.291.5131
60-551.111-0.562.7820.719
62-550.111-1.7431.9651
66-550.611-1.062.2821
57-56-0.3-1.8851.2851
58-56-0.167-2.051.7161
59-56-0.5-1.9390.9391
60-560.5-1.2032.2031
62-56-0.5-2.3831.3831
66-560-1.7031.7031
58-570.133-1.8982.1641
59-57-0.2-1.8281.4281
60-570.8-1.0662.6660.997
62-57-0.2-2.2311.8311
66-570.3-1.5662.1661
59-58-0.333-2.2531.5861
60-580.667-1.4572.7911
62-58-0.333-2.6041.9371
66-580.167-1.9572.2911
60-591-0.7432.7430.911
62-590-1.9191.9191
66-590.5-1.2432.2431
62-60-1-3.1241.1240.99
66-60-0.5-2.4671.4671
66-620.5-1.6242.6241


Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group261.2160.235
131
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Nov/29/t12910701708iofpoxd8328uci/38ujt1291070061.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/29/t12910701708iofpoxd8328uci/38ujt1291070061.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Nov/29/t12910701708iofpoxd8328uci/4j30e1291070061.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/29/t12910701708iofpoxd8328uci/4j30e1291070061.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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