An Investigation of the Restraints with Respect to Sample Size Commonly Imposed on the Use of the Chi-Square Statistic

摘要: Abstract This empirical study of the chi-square approximations as commonly encountered in behavioral research involved: (1) both tests goodness-of-fit and independence, (2) uniform distributions two levels departure from uniform, (3) sample sizes ranging 10 to 100. Excellent were obtained with average expected frequencies one or uniform; slightly higher required non-uniform cases. Tests independence strikingly robust respect Type I errors; almost all cases errors conservative direction.