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Mother's verbal IQ and child's verbal IQ

*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: Fri, 04 Dec 2009 08:12:53 -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/04/t1259939858erlcsvw7wn5k0ij.htm/, Retrieved Fri, 04 Dec 2009 16:17:41 +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/2009/Dec/04/t1259939858erlcsvw7wn5k0ij.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 36 2 56 3 48 2 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 2 49 2 42 2 37 2 41 2 30 2 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 2 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 1 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 1 39 2 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 time5 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


ANOVA Model
RespVar ~ AgeGroup
means1.5-0.50.50.50.10.10.30.30.50.50.1-0.50.20.4230.50.667-0.50.4230.3750.1670.6250.10.50.50.250.51.25


ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
AgeGroup2610.6310.4090.9210.579
Residuals13359.0630.444


Tukey Honest Significant Difference Comparisons
difflwruprp adj
31-30-0.5-3.3152.3151
32-300.5-1.682.681
34-300.5-1.282.281
36-300.1-1.5891.7891
37-300.1-1.5891.7891
39-300.3-1.1891.7891
41-300.3-1.1891.7891
42-300.5-2.3153.3151
43-300.5-1.1252.1251
44-300.1-1.3891.5891
45-30-0.5-3.3152.3151
46-300.2-1.2891.6891
48-300.423-1.0161.8631
49-300.5-2.3153.3151
50-300.667-0.7872.120.993
51-30-0.5-3.3152.3151
52-300.423-1.0161.8631
54-300.375-1.1671.9171
55-300.167-1.3461.6791
56-300.625-0.9172.1670.999
57-300.1-1.5891.7891
58-300.5-1.4232.4231
59-300.5-1.0782.0781
60-300.25-1.532.031
62-300.5-1.4232.4231
66-301.25-0.533.030.615
32-311-2.0834.0831
34-311-1.8153.8151
36-310.6-2.1583.3581
37-310.6-2.1583.3581
39-310.8-1.843.441
41-310.8-1.843.441
42-311-2.564.561
43-311-1.7193.7191
44-310.6-2.043.241
45-310-3.563.561
46-310.7-1.943.341
48-310.923-1.6893.5361
49-311-2.564.561
50-311.167-1.4543.7870.996
51-310-3.563.561
52-310.923-1.6893.5361
54-310.875-1.7953.5451
55-310.667-1.9873.321
56-311.125-1.5453.7950.998
57-310.6-2.1583.3581
58-311-1.9073.9071
59-311-1.6913.6911
60-310.75-2.0653.5651
62-311-1.9073.9071
66-311.75-1.0654.5650.825
34-320-2.182.181
36-32-0.4-2.5061.7061
37-32-0.4-2.5061.7061
39-32-0.2-2.151.751
41-32-0.2-2.151.751
42-320-3.0833.0831
43-320-2.0562.0561
44-32-0.4-2.351.551
45-32-1-4.0832.0831
46-32-0.3-2.251.651
48-32-0.077-1.9891.8351
49-320-3.0833.0831
50-320.167-1.7562.0891
51-32-1-4.0832.0831
52-32-0.077-1.9891.8351
54-32-0.125-2.1151.8651
55-32-0.333-2.3011.6351
56-320.125-1.8652.1151
57-32-0.4-2.5061.7061
58-320-2.2982.2981
59-320-2.0182.0181
60-32-0.25-2.431.931
62-320-2.2982.2981
66-320.75-1.432.931
36-34-0.4-2.0891.2891
37-34-0.4-2.0891.2891
39-34-0.2-1.6891.2891
41-34-0.2-1.6891.2891
42-340-2.8152.8151
43-340-1.6251.6251
44-34-0.4-1.8891.0891
45-34-1-3.8151.8151
46-34-0.3-1.7891.1891
48-34-0.077-1.5161.3631
49-340-2.8152.8151
50-340.167-1.2871.621
51-34-1-3.8151.8151
52-34-0.077-1.5161.3631
54-34-0.125-1.6671.4171
55-34-0.333-1.8461.1791
56-340.125-1.4171.6671
57-34-0.4-2.0891.2891
58-340-1.9231.9231
59-340-1.5781.5781
60-34-0.25-2.031.531
62-340-1.9231.9231
66-340.75-1.032.530.998
37-360-1.5921.5921
39-360.2-1.1791.5791
41-360.2-1.1791.5791
42-360.4-2.3583.1581
43-360.4-1.1241.9241
44-360-1.3791.3791
45-36-0.6-3.3582.1581
46-360.1-1.2791.4791
48-360.323-1.0021.6481
49-360.4-2.3583.1581
50-360.567-0.7731.9070.998
51-36-0.6-3.3582.1581
52-360.323-1.0021.6481
54-360.275-1.161.711
55-360.067-1.3381.4711
56-360.525-0.911.961
57-360-1.5921.5921
58-360.4-1.4392.2391
59-360.4-1.0741.8741
60-360.15-1.5391.8391
62-360.4-1.4392.2391
66-361.15-0.5392.8390.675
39-370.2-1.1791.5791
41-370.2-1.1791.5791
42-370.4-2.3583.1581
43-370.4-1.1241.9241
44-370-1.3791.3791
45-37-0.6-3.3582.1581
46-370.1-1.2791.4791
48-370.323-1.0021.6481
49-370.4-2.3583.1581
50-370.567-0.7731.9070.998
51-37-0.6-3.3582.1581
52-370.323-1.0021.6481
54-370.275-1.161.711
55-370.067-1.3381.4711
56-370.525-0.911.961
57-370-1.5921.5921
58-370.4-1.4392.2391
59-370.4-1.0741.8741
60-370.15-1.5391.8391
62-370.4-1.4392.2391
66-371.15-0.5392.8390.675
41-390-1.1261.1261
42-390.2-2.442.841
43-390.2-1.11.51
44-39-0.2-1.3260.9261
45-39-0.8-3.441.841
46-39-0.1-1.2261.0261
48-390.123-0.9361.1821
49-390.2-2.442.841
50-390.367-0.7111.4451
51-39-0.8-3.441.841
52-390.123-0.9361.1821
54-390.075-1.1191.2691
55-39-0.133-1.291.0231
56-390.325-0.8691.5191
57-39-0.2-1.5791.1791
58-390.2-1.4571.8571
59-390.2-1.0411.4411
60-39-0.05-1.5391.4391
62-390.2-1.4571.8571
66-390.95-0.5392.4390.788
42-410.2-2.442.841
43-410.2-1.11.51
44-41-0.2-1.3260.9261
45-41-0.8-3.441.841
46-41-0.1-1.2261.0261
48-410.123-0.9361.1821
49-410.2-2.442.841
50-410.367-0.7111.4451
51-41-0.8-3.441.841
52-410.123-0.9361.1821
54-410.075-1.1191.2691
55-41-0.133-1.291.0231
56-410.325-0.8691.5191
57-41-0.2-1.5791.1791
58-410.2-1.4571.8571
59-410.2-1.0411.4411
60-41-0.05-1.5391.4391
62-410.2-1.4571.8571
66-410.95-0.5392.4390.788
43-420-2.7192.7191
44-42-0.4-3.042.241
45-42-1-4.562.561
46-42-0.3-2.942.341
48-42-0.077-2.6892.5361
49-420-3.563.561
50-420.167-2.4542.7871
51-42-1-4.562.561
52-42-0.077-2.6892.5361
54-42-0.125-2.7952.5451
55-42-0.333-2.9872.321
56-420.125-2.5452.7951
57-42-0.4-3.1582.3581
58-420-2.9072.9071
59-420-2.6912.6911
60-42-0.25-3.0652.5651
62-420-2.9072.9071
66-420.75-2.0653.5651
44-43-0.4-1.70.91
45-43-1-3.7191.7191
46-43-0.3-1.611
48-43-0.077-1.3191.1661
49-430-2.7192.7191
50-430.167-1.0921.4251
51-43-1-3.7191.7191
52-43-0.077-1.3191.1661
54-43-0.125-1.4851.2351
55-43-0.333-1.660.9931
56-430.125-1.2351.4851
57-43-0.4-1.9241.1241
58-430-1.781.781
59-430-1.4011.4011
60-43-0.25-1.8751.3751
62-430-1.781.781
66-430.75-0.8752.3750.993
45-44-0.6-3.242.041
46-440.1-1.0261.2261
48-440.323-0.7361.3821
49-440.4-2.243.041
50-440.567-0.5111.6450.964
51-44-0.6-3.242.041
52-440.323-0.7361.3821
54-440.275-0.9191.4691
55-440.067-1.091.2231
56-440.525-0.6691.7190.996
57-440-1.3791.3791
58-440.4-1.2572.0571
59-440.4-0.8411.6411
60-440.15-1.3391.6391
62-440.4-1.2572.0571
66-441.15-0.3392.6390.413
46-450.7-1.943.341
48-450.923-1.6893.5361
49-451-2.564.561
50-451.167-1.4543.7870.996
51-450-3.563.561
52-450.923-1.6893.5361
54-450.875-1.7953.5451
55-450.667-1.9873.321
56-451.125-1.5453.7950.998
57-450.6-2.1583.3581
58-451-1.9073.9071
59-451-1.6913.6911
60-450.75-2.0653.5651
62-451-1.9073.9071
66-451.75-1.0654.5650.825
48-460.223-0.8361.2821
49-460.3-2.342.941
50-460.467-0.6111.5450.997
51-46-0.7-3.341.941
52-460.223-0.8361.2821
54-460.175-1.0191.3691
55-46-0.033-1.191.1231
56-460.425-0.7691.6191
57-46-0.1-1.4791.2791
58-460.3-1.3571.9571
59-460.3-0.9411.5411
60-460.05-1.4391.5391
62-460.3-1.3571.9571
66-461.05-0.4392.5390.606
49-480.077-2.5362.6891
50-480.244-0.7641.2511
51-48-0.923-3.5361.6891
52-480-0.9870.9871
54-48-0.048-1.1791.0831
55-48-0.256-1.3480.8351
56-480.202-0.9291.3331
57-48-0.323-1.6481.0021
58-480.077-1.5361.6891
59-480.077-1.1031.2571
60-48-0.173-1.6131.2661
62-480.077-1.5361.6891
66-480.827-0.6132.2660.911
50-490.167-2.4542.7871
51-49-1-4.562.561
52-49-0.077-2.6892.5361
54-49-0.125-2.7952.5451
55-49-0.333-2.9872.321
56-490.125-2.5452.7951
57-49-0.4-3.1582.3581
58-490-2.9072.9071
59-490-2.6912.6911
60-49-0.25-3.0652.5651
62-490-2.9072.9071
66-490.75-2.0653.5651
51-50-1.167-3.7871.4540.996
52-50-0.244-1.2510.7641
54-50-0.292-1.4410.8571
55-50-0.5-1.610.610.995
56-50-0.042-1.1911.1071
57-50-0.567-1.9070.7730.998
58-50-0.167-1.7921.4581
59-50-0.167-1.3641.0311
60-50-0.417-1.871.0371
62-50-0.167-1.7921.4581
66-500.583-0.872.0370.999
52-510.923-1.6893.5361
54-510.875-1.7953.5451
55-510.667-1.9873.321
56-511.125-1.5453.7950.998
57-510.6-2.1583.3581
58-511-1.9073.9071
59-511-1.6913.6911
60-510.75-2.0653.5651
62-511-1.9073.9071
66-511.75-1.0654.5650.825
54-52-0.048-1.1791.0831
55-52-0.256-1.3480.8351
56-520.202-0.9291.3331
57-52-0.323-1.6481.0021
58-520.077-1.5361.6891
59-520.077-1.1031.2571
60-52-0.173-1.6131.2661
62-520.077-1.5361.6891
66-520.827-0.6132.2660.911
55-54-0.208-1.4321.0151
56-540.25-1.0091.5091
57-54-0.275-1.711.161
58-540.125-1.5791.8291
59-540.125-1.1781.4281
60-54-0.125-1.6671.4171
62-540.125-1.5791.8291
66-540.875-0.6672.4170.92
56-550.458-0.7651.6821
57-55-0.067-1.4711.3381
58-550.333-1.3452.0121
59-550.333-0.9351.6021
60-550.083-1.4291.5961
62-550.333-1.3452.0121
66-551.083-0.4292.5960.574
57-56-0.525-1.960.911
58-56-0.125-1.8291.5791
59-56-0.125-1.4281.1781
60-56-0.375-1.9171.1671
62-56-0.125-1.8291.5791
66-560.625-0.9172.1670.999
58-570.4-1.4392.2391
59-570.4-1.0741.8741
60-570.15-1.5391.8391
62-570.4-1.4392.2391
66-571.15-0.5392.8390.675
59-580-1.7371.7371
60-58-0.25-2.1731.6731
62-580-2.0562.0561
66-580.75-1.1732.6730.999
60-59-0.25-1.8281.3281
62-590-1.7371.7371
66-590.75-0.8282.3280.989
62-600.25-1.6732.1731
66-601-0.782.780.928
66-620.75-1.1732.6730.999


Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group260.7780.769
133
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Dec/04/t1259939858erlcsvw7wn5k0ij/3qex01259939567.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/04/t1259939858erlcsvw7wn5k0ij/3qex01259939567.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/04/t1259939858erlcsvw7wn5k0ij/4cnj31259939567.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/04/t1259939858erlcsvw7wn5k0ij/4cnj31259939567.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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