I'm doing a paper on measuring authors productivity and unable to decide what should I use as my statistical test to come up with solid results. Here is what the initial results look like (this is an example, I have more the 2000 authors):

Rank Productivity Rank Productivity Authors

4 10 papers 1 40 papers A

1 40 papers 2 35 papers B

2 25 papers 3 30 papers C

3 20 papers 4 25 papers D

5 5 papers 5 20 papers E

it is ordered by author names, number of papers authored then the rank, and then with another way of calculating productivity for the same authors and the rank on that way.

please note that after about 500 authors each will have only one paper and the same rank in both ways.

what do you think is the best way to compare, rank correlation, chi square, or what... please advise...thanks for the help