The relationship between chi square and size of sample in two-celled tables

Abstract

For a two-celled chi-square where d is the discrepancy between the observed and expected frequency, X 2 is the value of chi-square at the required level of confidence for 1 d.f., and N is the number of cases, the relationship is graphed for X 2 at the .01 and .05 levels of confidence. From the graph, the size of d may be compared with N to determine whether the discrepancy exceeds chance expectancy at or beyond these levels of confidence. (PsycInfo Database Record (c) 2025 APA, all rights reserved)