A Collation of Chi Square Formulae

摘要: Sfinz?nary.-A series of formulae for chi square are presented use with one- and two-classification cables. The formulae, written a constant statistical notation, represent an overview the literature in area designed to provide investigator short-cuts calculation square. Formulae discussed within framework tables which they best apply; worked example is provided each major formula. Over recent years, non-parametric techniques have grown both number. Certainly most widely used known such (~3. ~5s generally simple so long as number cells table or it applied small. When, however, these conditions not met, calculations may become tedious time consuming. Many ingenious been overcome this problem. Unfortunately, user whom faces certain problems attempting them. He finds that scattered books journals always easily available at moment needed; addition, he will seldom find evaluation various methods ro rheir applicability si~acions and, finally, moves from one author another invariably encounter abrupt changes statisrical notation obscure basic relevance utility presented. Thus, too unusual researcher position depending upon few sources knows well comfortable despite fact typically be deficient their coverage techniques. In doing, loses access wide range material can aid him his day research activity. It purpose paper, then, present reference source users: collection x2 organized about apply, merits limitations, wrirten standardized notation. This paper does cover X%n contingency more than two cross-classifications since method often depend hypothesis rested; discussion topic covered by Bartlett (1935), Irwin (1949), Lancaster ( 1951 ), Mayo (1959), Mood (1950), 'Supported, part, grant Forcl Foundation NlMH Grant 2M-7521-C1.