The meta-analyst ranks the p 's, selects some positive integer s typically much smaller than k , and computes R , the product of the s smallest values of p .
R is used to test the composite null hypothesis that all k individual null hypotheses are true.
The critical value of R depends on k , s , and alpha. Previous work offered tables of critical values of R for every value of k from 2 to 30, for values of s from 2 to 5, and for 53 values of alpha ranging from .1 down to .00001. The tables presented here are designed to supplement, not replace, those previous tables. The new tables cover much larger values of s and k , but fewer values of alpha. The 7 values of alpha are .1, .05, .025, .01, .005, .0025, and .001.