A simple method of computing the sample size for Chi-square test for the equality of multinomial distributions

  • Authors:

  • Jeffrey A. Nisen;Neil C. Schwertman

  • Affiliations:

  • Department of Statistics, 44 Kidder Hall, Oregon State University, Corvallis, OR 97331, United States;Department of Mathematics & Statistics, California State University Chico, Chico, CA 95929-0525, United States

  • Venue:
  • Computational Statistics & Data Analysis
  • Year:
  • 2008

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Abstract

Computing the appropriate sample size is one of the most important aspects of designing an experiment. For the Chi-square test of the equality of multinomial populations a very simple method is proposed for calculating the sample size to satisfy specified significance level and power. This method is especially understandable and does not require software nor the non-central Chi-square tables. Simulations are used to verify the accuracy of the new method.