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

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...

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Veröffentlicht in:Computational statistics & data analysis Jg. 52; H. 11; S. 4903 - 4908
Hauptverfasser: Nisen, Jeffrey A., Schwertman, Neil C.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Amsterdam Elsevier B.V 15.07.2008
Elsevier Science
Elsevier
Schriftenreihe:Computational Statistics & Data Analysis
Schlagworte:
Exact sciences and technology
General topics
Mathematics
Multivariate analysis
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in probability and statistics
Probability and statistics
Sampling theory, sample surveys
Sciences and techniques of general use
Statistics
Data analysis
Sample size
Chi square test
Significance level
Computing
Equality test
Chi square
Sampling theory
Statistical computation
Simulation
Experimental design
Distribution function
Software
Multinomial distribution
Sample survey
Computing method
ISSN:0167-9473, 1872-7352
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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.
AbstractList 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.
Author Nisen, Jeffrey A.
Schwertman, Neil C.
Author_xml – sequence: 1
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  givenname: Neil C.
  surname: Schwertman
  fullname: Schwertman, Neil C.
  email: nschwertman@csuchico.edu
  organization: Department of Mathematics & Statistics, California State University Chico, Chico, CA 95929-0525, United States
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Issue 11
Keywords Data analysis
Sample size
Chi square test
Significance level
Computing
Equality test
Chi square
Sampling theory
Statistical computation
Simulation
Experimental design
Distribution function
Software
Multinomial distribution
Sample survey
Computing method
Language English
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Snippet 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...
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SubjectTerms Exact sciences and technology
General topics
Mathematics
Multivariate analysis
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in probability and statistics
Probability and statistics
Sampling theory, sample surveys
Sciences and techniques of general use
Statistics
Title A simple method of computing the sample size for Chi-square test for the equality of multinomial distributions
URI https://dx.doi.org/10.1016/j.csda.2008.04.007
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