Comparison of multinomial cells with a control

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Abstract

Inverse sampling procedures are proposed for comparison of k given multinomial cells among themselves and with reference to a control cell. The measures of distance are the ratio of the cell probabilities. With the aid of Type 2-Dirichlet integrals, we (i) express the probability of a correct selection in terms of integrals with parameters only in the upper or lower limits of integration and (ii) to prove the least favorable configuration under all the procedures are the so called slippage configuration.

Original languageEnglish (US)
Pages (from-to)33-46
Number of pages14
JournalStatistics and Risk Modeling
Volume5
Issue number1-2
DOIs
StatePublished - Feb 1987

Keywords

  • Comparison with a control
  • Dirichlet integral
  • inverse sampling procedure
  • least favorable configuration
  • multinomial distribution

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Modeling and Simulation

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