Sample Size Determination Methods Using Acceptance Sampling by Variables

Abstract

The sample size for an Acceptance Sampling by Variable experiment is often determined using a standard such as MIL-STD-414 or one of its many derivatives. These standards specify sample sizes for a series of experiments to be used on a stream of incoming lots. They are not intended to be used to plan a stand-alone experiment, which requires an alternative approach. In this paper we focus on three alternatives: the operating characteristic curve approach, the Faulkenberry and Weeks approach, and a power analysis for a hypothesis test on a quantile. These three methods originate from different scientific sub-disciplines, but their concepts are quite similar and are easily confounded. To illustrate this, we review their development and present them in a consistent notation that demonstrates their mathematical equivalence.

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Document Details

Document Type
Technical Report
Publication Date
Aug 06, 2019
Accession Number
AD1224520

Entities

People

  • Heather M. Wojton
  • Kerry N. Walzl
  • Lindsey A. Davis
  • Thomas H. Johnson

Organizations

  • Institute for Defense Analyses

Tags

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Systems Analysis and Design
  • Theoretical Analysis.