1971Journal of the American Statistical AssociationRequires access

The Partial Sequential Probability Ratio Test

Campbell B. Read

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Abstract

In testing a normal mean with known variance, or a Koopman-Darmois parameter, an initial fixed number n of observations is followed by Wald's SPRT procedure. The conditional SPRT, given, and optimality properties in a certain class of tests are noted. For some parameter values, the PSPRT may have a lower ASN than a Wald SPRT with the same error probabilities.

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What this paper is about

In testing a normal mean with known variance, or a Koopman-Darmois parameter, an initial fixed number n of observations is followed by Wald's SPRT procedure. The conditional SPRT, given, and optimality properties in a certain class of tests are noted. For some parameter values, the PSPRT may have a lower ASN than a Wald SPRT with the same error probabilities.

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Available abstract

In testing a normal mean with known variance, or a Koopman-Darmois parameter, an initial fixed number n of observations is followed by Wald's SPRT procedure. The conditional SPRT, given, and optimality properties in a certain class of tests are noted. For some parameter values, the PSPRT may have a lower ASN than a Wald SPRT with the same error probabilities.

Key concepts: Sequential probability ratio test, Wald test, Mathematics, Statistics, Variance (accounting), Applied mathematics, Statistical hypothesis testing, Accounting

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