Logical extremes, beta, and the power of the test

James V. Pinto, Pin Ng, David S. Allen

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


There is a potential misuse of the power function under the logical extreme when the null hypothesis is true. The power function is defined to measure the probability of rejecting the null given any value of the parameter being tested. It can be used to obtain the power and the β values only under the alternative hypothesis. When the null is true, the power function can be used to obtain the size of the test. The power and the probability of committing a Type II error are, however, undefined and, hence, the power function should not be used to obtain these value.

Original languageEnglish (US)
JournalJournal of Statistics Education
Issue number1
StatePublished - Mar 2003


  • Power function
  • Simulations
  • Type II error

ASJC Scopus subject areas

  • Statistics and Probability
  • Education
  • Statistics, Probability and Uncertainty


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