Chapter 9. Tests of Hypotheses

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

Published Online: 11 APR 2003

DOI: 10.1002/0471458716.ch9

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) Tests of Hypotheses, in Introductory Biostatistics for the Health Sciences: Modern Applications Including Bootstrap, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471458716.ch9

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:

  • one-tailed test;
  • two-tailed test;
  • p-value;
  • type I error;
  • type II error;
  • power function;
  • paired t-test;
  • sensitivity;
  • specificity;
  • meta-analysis;
  • Bayesian methods;
  • group sequential methods

Summary

  • Definition of hypothesis testing

  • The null and alternative hypotheses

  • Type I and Type II errors

  • Critical region, or rejection region

  • Definition of a test of significance

  • Neyman–Pearson Test Formulation

  • Test of a mean (H0: μ=μ0), assuming that the population variance is known…

  • One-tailed versus Two-tailed Tests

  • Statistical power and power functions

  • Two sample t-tests

  • Paired t-tests with examples of applications

  • How confidence intervals compare to hypothesis tests

  • Definitions of sensitivity and specificity

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