original
Rank position
positions
(used to
assign ranks)
4
1
5
2
2
3
1
4
3
5
348
Affymetrix GeneChip
®
Table C.1
Absolute values
Original
non-zero
position
differences
d1 = 2
1
d2 = 1
2
d3 = -2
3
d4 = 0.5
4
d5 = 0.5
5
Next, we sort the absolute values in ascending order and assign a rank
to them. If all a
's are different from each other, we rank them with
i
integers from 1 to n, and assign the original signs to these ranks to
form the signed ranks. We denote the ranks by r
of d
by s
. If there are ties among a
i
i
assigned to a rank equal to the average of the integer ranks.
Table C.2
Assigning rank values to the sorted absolute values
Sorted in
increasing
order
a4 = 0.5
a5 = 0.5
a2 = 1
a1 = 2
a3 = 2
Ties are assigned a rank equal to the average of the
rank positions that the tied values occupy
Genotyping Analysis Software User's Guide
convert to
absolute values
a1 = 2
a2 = 1
a3 = 2
a4 = 0.5
a5 = 0.5
, all differences in a tie group are
i
Assign Ranks
Rank position
r4 = 1.5
(1 +2)/2
r5 = 1.5
3
r2 = 3
Rank position
r1 = 4.5
(4 + 5)/2
r3 = 4.5
and the signed rank
i
Signed Ranks
s4 = 1.5
s5 = 1.5
s2 = 3
s1 = 4.5
s3 = - 4.5
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