A-dependence statistics in multi-way contingency tables
Example with the highschool data:
alcohol
|
cigarette
|
marijuana
|
count
|
yes
|
yes
|
yes
|
911
|
yes
|
yes
|
no
|
538
|
yes
|
no
|
yes
|
44
|
yes
|
no
|
no
|
456
|
no
|
yes
|
yes
|
3
|
no
|
yes
|
no
|
43
|
no
|
no
|
yes
|
2
|
no
|
no
|
no
|
279
|
Results:
T df p.value
12 451.40 1 0
13 258.73 1 0
23 642.03 1 0
123 59.22 1 0
all 1411.39 4 0
Example with the DNA data:
gaattcctggggtcaagctatctgttggtctctgcctcccaaagtgttgggattataggt
gtgaaccactgtgcctagacccccaaattatctttttttcagagacagtgtgatagttct
caaactatcacctaacattcctggtaggagaggaaagatctctctcttgccccagtcatg
cctgtctaactacgtgtaactagttagctcgacttactgttataatttttctcactgata
gaatttttgcaaagacactttcaatactaccaaaataaatagtaatcaaccacttggaaa
gcatttcgaactaactgaagtccctacttacaccaaatgaggaaaagccaaactacactg
tgggacacactgtaagtccctgcatcagtcagctgttgctgtgcaaacacctcctcaaga
ctcggcaggataaagcaatgaccatttataattgctcacatgtctgcaggtcagctgctt
tttggctgaccgaggcagggcttagctaggctggctctgcagcgtgtgtctctcattctc
ctcctgtggcaaacaatggcagatgacaatggcaaatgtggaaagcctttaaagaagaaa
tctcataaggagttccctgtcactcccattcatctcagtctttcagccaaagcaagtgat
atgtccaaaccccatatcaaggggtggggaaatataatttgcttatttattaggagcaaa
gtcacatggtggtcattgcagaatgggttgaatgacataacctatcatcagccctgaaga
aactcatcattcatttccttcctcaagatccccctcagccgggcatctccagatcttact
ctttcccacactctgtatacaacagtccactcacactagctaccctgcttcctttggcac
cctctttccactagataacctgttcactcagcatttctattttcatttgcatctccaccc
tttgcccattaccccagcagcacacagaggaccctgacagaataggcaaaacccagaagt
tgggtgggtagataatgtgtgaaagctcacacggttctgacgcctccttgacgcagcaca
ttactagcgaatgacatgtatagggcctggggtgtttgcagaaccaaatcaggtgtggag
gaaattatatgtaaatacctccatgggtgtgtgattgtatcatacctcaccataacaaag
ctcaaatgacatttcatttccaaatgtggctaggtttccctgtgttatatgtcgttgaaa
gccagtataaataaatatctgtgaaagtcctagctgactgcctgctttgtttctgccact
aaactgtaagctcctcatgaacagagtgtttctgtacaattcactagctgtctctatctt
tacctcacagccaatccacaaatgaacgctgtcagccttgccccccatcatatcccaacc
atccatgtctggctactccattgctagtccaaccgaagccccttgcatctcatgcctggg
ttatttcacagccttctaggctggtaactcccgctgctactgtgcctggctccagtctat
tctgtacatggtgaagaggatcctttgaaaaatggataaaatgagtagcaaattgtgttt
ctcctgcactcagaatcctcctctggctcctcactgtaacctctggcttcagtagttacg
gcaaatatttaaaagtcagcctgcaggaagaaccctgatttactgagttttccaatgtta
gtagtataaatactcatcatggccaattttaagctggcttctttccttcactccgtccct
ccctcctccccttctcccctccttctcttctcccctctttccttcatttcctccctccct
ccctcatttcttctgtccttctctccttcccttcctttccttctcacgtccttctttcct
ttcttccctcctcccgtcctttcttccctattctctgcctcctactctagaattgacatt
tcatgacaggcaatccatgtctgtcttagttattgcttagaagtacctggcacataatgg
aaggctcagtacatatttcttgaacaaatagttgactaattgaatagatcatcctttctt
aattctgtaccaggatttaagaattattcaaagaagatgtcattgttttaaaatgaccaa
gtactgctcagcactttcaagttcacaaagcatgcctcatgcatcatctctatgatctgt
acccgggtgcccatcctgagaagctgggaaaggcttttctcttcctcctcactttacaaa
tgaggaaacaaagactcagagggatggaggttcccgctcaaggccaaacagtaagtatgt
atccacaagtctgactctcagtctggcagtcttctcagtggtctccaggaactgtttagc
tcttggggggatctcataagggaagcctggaggcttcagggagagctgtcccaaggaaga
ggagagaaacacatggtggcgaggaaggaggattgacgaccagggaaggccttacgtagg
cctctaccaggctgagcctctggtgtcaggccagtaacatagtaattcaggtcccaatcc
tgattctgtctctagattcccactaacctccccacagacatggagcattgagcccccctt
ccccacttatagagtaccccagatagcataggctccacacctagcacccaccttcttgca
agtctatagcaatgagcagcagaggcgcagctgagatccacaagctgaacctggtcccca
gggataatttctttagcccctgtagtgtttaaaaaattgggccagcatttacaagcagga
tatcccaagtggttggttgattttggtaaacagaaagatcttgccacacatcctggccat
tctgggctgaccgcagtcatccacctgagaccagataagtgttgtcctgttcaatgcagc
cactcaaaccagttcaatgcagtccagttcaatgcagtttcctatcacctctccaacttc
cagggcagccattgactgcagtttatttccatgctggaagttttacttgtgtcaaaaaac
atacctctgaaaccgaaacttataccaaaagaagaaaaaatatgtagggcttcatgattt
tactacatggactgacagaaccctgagtttacgagctttgggctatgctcagtttaaaat
acatgcctcgcttccttccttccttccttccttccttccttccttccttccttccttcct
tctttccttccttcttcccttctcttccttcctccctccatccctcccttccttccttcc
ttccctccttccttccttccttctttccttcctttctctccttccttcctccttctctct
tctcttttttcttttcttccctgaaagagtctctctgttacccaggtatggtgtataata
catgctaacaccaccacacccagctaattttttaatttctattttgaagaaatgagatct
tgccatcttgcccaggctggtctctaactcctggcctcaagtgatcctcctgcttcagcc
tcctaaagcattgggattgcaggcatgagccacctagcccagttaagtacaccttttcct
agttctgtcaacaatctcacaaagctggcatccagaaccctcctttaggtgaggatcctt
gagttaagaggcgttgagggacttggccaaggttaaataactagaagtagacacagcctg
tgaagataacatctcatccagcgcaggcatccccataaattgcattcccacccacacacc
accagtgtgttcatttgtacaggatgtgtgacctgacacaacagcccttgtgtaatctga
cacattcccattaggtagcgacataaaccaacaaagctttccaggacaatgcctttgtgg
aaattggttttcttgcattactagggattttaaggcacaacaggttttcccttctttctg
tctctcaaaaaaaaaaaaaaaaaaaaagtcctttcaatacccaatattgcatggctttca
tcggaggcataaaatgaaatttgccataatccattgcctagggagaaagtcgtatgtgtg
tgtcacaactgacatctgttaaattaaataagcaagcaataagaaggtctgaaatatgtt
ctttcttcaggaattc
Results:
U df p.value
12 304.68 9 0
13 68.76 9 0
123 64.66 27 0
all 438.10 45 0