Rank Randomization Tests (1 of 4)

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The major problem with randomization tests is that they are very difficult to compute. Rank randomization tests are performed by first converting the scores to ranks and then computing a randomization test. The primary advantage of rank randomization tests is that there are tables that can be used to determine significance. The disadvantage is that some information is lost when the numbers are converted to ranks. Therefore, rank randomization tests are generally less powerful than randomization tests based on the original numbers. Consider the following data:

Group 1
Group 2
11
14
7
8
2
9
0
5

that were used as an example in the section on randomization tests. A rank randomization test on these data begins by converting the numbers to ranks. The converted data are:

Group 1
Group 2
7
8
4
5
2
6
1
3

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