Machine short-cuts in the computation of chisquare and the contingency coefficient

Rapid computational routines are presented for calculatingx² from frequency data in the following cases: (1) test of goodness of fit between an observed and a theoretical distribution; (2) test of independence of distributions displayed in anr ×c table; (3) test of independence of distributions displayed in anr × 2 table. A rapid method of computing the contingency coefficient also follows from the procedure used in the second of these cases.