This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.
Abstract Details
Activity Number:
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351
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Type:
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Contributed
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Date/Time:
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Tuesday, August 3, 2010 : 10:30 AM to 12:20 PM
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Sponsor:
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Health Policy Statistics Section
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Abstract - #306487 |
Title:
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Exact Sequential and Multistage Inference with Binary Response
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Author(s):
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Iliana Ignatova*+ and Don Edwards and Roland C. Deutsch
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Companies:
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Cal Poly and University of South Carolina and The University of North Carolina at Greensboro
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Address:
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, , CA, 93401,
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Keywords:
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binary data ;
Pascal's triangle ;
SPRT ;
sequential sampling
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Abstract:
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We consider closed sequential or multistage sampling, with or without replacement, from a lot of N items, where each item can be identified as defective (in error, tainted, etc.) or not. The goal is inference on the proportion p of defectives in the lot. Until just a few years ago, inference on p was typically done approximately, even with a fixed sample size. In this paper we show that conservative inference on p using general elimination boundaries is completely tractable numerically and not at all inconvenient using modern statistical software. Functions for this purpose written in R are showcased. Results are applicable under either Frequentist or Bayesian approaches. Examples are provided for (1) sharpening Wald's (1947) SPRT for use in closed industrial acceptance sampling, and (2) two-stage sampling for auditing Medicare providers suspected of billing abuse.
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