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Zbl 1093.62566
Payton, Mark E.; Young, Linda J.
A sequential procedure to test three values of a binomial parameter.
(English)
[J] Metrika 49, No. 1, 41-52 (1999). ISSN 0026-1335; ISSN 1435-926X/e

Summary: Sequential tests to decide among three binomial probabilities are needed in many situations, such as acceptance sampling used to determine the proportion of defective items and presence and absence sampling to decide whether pest species are causing economic damage to a crop such as corn. Approximate error probabilities associated with {\it P. Armitage}'s [J. R. Stat. Soc., Ser. B 12, 137--144 (1950; Zbl 0038.09502)] method of simultaneously conducting three sequential probability ratio tests (SPRTs) are derived for the binomial distribution. These approximations provide a basis for adjusting the error rates used to establish the individual SPRTs so that the desired overall error rates are attained. Monte Carlo simulation is used to evaluate the revised procedure.
MSC 2000:
*62L10 Sequential statistical analysis

Citations: Zbl 0038.09502

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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