Optimally selected chi square statistics for equivalence testing

Research output: Contribution to journalArticlepeer-review

Abstract

In some experiments, the aim is to establish equivalence between treatment groups, rather than to establish greater efficacy of one group over another. Examples are drug bioavailability studies, in which it is desired to exhibit bioequivalence between a new formulation of a drug and the standard formulation, and studies of experimental conditions for biological assays, in which it is desired to exhibit equivalent assay response between fresh and non-fresh specimens. In many cases, the outcome measure is continuous, but the investigator prefers to dichotomize it on the basis of a threshold. If the threshold is selected to make the test statistic most favorable for equivalence, standard chi square percentile points are incorrect. Here, we derive asymptotically correct percentile points and significance levels for two approaches to equivalence testing.

Original languageEnglish (US)
Pages (from-to)247-257
Number of pages11
JournalJournal of Statistical Planning and Inference
Volume93
Issue number1-2
DOIs
StatePublished - Feb 2001

Keywords

  • 62F03
  • 62L10
  • Boundary crossing
  • Brownian motion
  • Discrete sequential boundary
  • Maximal selection

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

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