You are here: Vanderbilt Biostatistics Wiki>Main Web>Projects>MicroArrayMassSpec>GeneralWfccmDesign>WfccmClassDescriptions>WfccmAlgorithmWilcoxon (04 Jan 2010, JoanZhang)EditAttach

- Sort the combined values in ascending order and assign numerical ranks starting with 1.
- For a tie, assign all tied values the average rank. For example: tied 2nd and 3rd values would recieve a rank of 2.5 each; tied 5th, 6th, and 7th values would receive a rank of 6 each.

- Sum the ranks for each group.
- n1 = size of the smaller group
- n2 = size of the larger group
- sum1 = rank sum of the smaller group
- sum2 = rank sum of the larger group
- n = n1 + n2

- The statistic is the sum of the smaller group or the smaller sum if the groups are of equal size.
- If n1 < n2, sum1
- If n1 = n2, least of sum1 and sum2

- Variance (Var): where = how many values are tied in each tie
- z:
- If z < 0, z = 0

- P-value:

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Topic revision: r4 - 04 Jan 2010, JoanZhang

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