Chapter 10. Inferences Regarding Proportions

  1. Michael R. Chernick1,
  2. Robert H. Friis2

Published Online: 11 APR 2003

DOI: 10.1002/0471458716.ch10

Book Title

Introductory Biostatistics for the Health Sciences: Modern Applications Including Bootstrap

Introductory Biostatistics for the Health Sciences: Modern Applications Including Bootstrap

Additional Information

How to Cite

Chernick, M. R. and Friis, R. H. (2003) Inferences Regarding Proportions, in Introductory Biostatistics for the Health Sciences: Modern Applications Including Bootstrap, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471458716.ch10

Author Information

  1. 1

    Novo Nordisk Pharmaceuticals, Inc., Princeton, New Jersey, USA

  2. 2

    California State University, Long Beach, California, USA

Publication History

  1. Published Online: 11 APR 2003
  2. Published Print: 21 FEB 2003

ISBN Information

Print ISBN: 9780471411376

Online ISBN: 9780471458715

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Keywords:

  • proportion;
  • mean of binomial distribution;
  • standard deviation of binomial distribution;
  • normal approximation to binomial;
  • hypothesis testing with binomial proportions;
  • confidence intervals for proportions

Summary

  • Uses of proportions in medical studies

  • The mean and standard deviation of a binomial variable

  • Using the normal approximation to the binomial

  • Test of the hypothesis that the parameter p of a binomial distribution equals a hypothesized value P0

  • Continuity corrected test statistic for a single binomial

  • Z test for the difference between two proportions, p1−p2

  • Confidence intervals for proportions

  • Deriving sample sizes by using the formulas for the normal approximation

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