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Two-stage sequential tests for proportions and means with follow-up period

✍ Scribed by S.C. Choi


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
529 KB
Volume
10
Category
Article
ISSN
0898-1221

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✦ Synopsis


Communicated by I. Norman Katz

Ahstraet-This paper extends a procedure, based on [l], wherein a sequential probability ration test (SPRT') is combined with a likelihood ratio test that incorporate both sequential observations and additional delayed observations. Two two-sample sequential tests are eonsideredz one for binomial parameters and the other for the means of normal distributions. The essential feature of the method enables us to construct a SPRT with the risk probabilities set greater than the desired level, depending on a number of delayed observations. The terminal decision based on a likelihood ratio test can be made with the desired risk level. The adequacy and advantage of the procedure are discussed and a number of computational formulas is presented to facilitate its applications.


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Two-Stage Likelihood Ratio and Union–Int
✍ Pranab K. Sen; Ming-Tien Tsai 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 166 KB

For a multinormal distribution with an unknown dispersion matrix, union-intersection (UI) tests for the mean against one-sided alternatives are considered. The null distribution of the UI test statistic is derived and its power monotonicity properties are studied. A Stain-type two-stage procedure is