An examination of the performance of a natural truncation point and acceptance rule for a curtailed Wald sequential sampling plan with Bernoulli parameters
Lewis, Cameron J.
Lindsay, Glenn F.
Sohn, So Young
MetadataShow full item record
This paper examines the performance of a proposed truncation and acceptance rule for the Wald Sequential Probability Ratio test for Bernoulli parameters, and the rule's influence on errors of the first and second kind as well as the average number of items sampled for inspection. The proposed truncation and acceptance rule suggests that there exists a natural truncation point for every sequential probability ratio test such that the desired error probabilities are not exceeded or that one of the true errors is smaller than desired and the other will exceeded by an insignificant amount. A computer program is used to simulate the sampling process and provide estimates of the true values of a plan's Operating Characteristic curve, its average sample number, as well as the probability of implementing the truncation and acceptance rule. Results suggest that truncation and rejection of a lot at the natural truncation point will maintain a plan's desired Operating Characteristic curve. The cases examined also suggest that any modification to the natural truncation point truncation and acceptance rule may cause an unacceptable deviation from the desired Operating Characteristic curve. Finally, a linear equation was developed which provides an estimate of the upper limit on the probability of implementing a truncartion and acceptance rule, and that is most cases, this upper limit is less than 0.15.
Approved for public release; distribution is unlimited
Showing items related by title, author, creator and subject.
Petersen, Jurgen (Monterey, California. Naval Postgraduate School, 1980-09);In the paper, Wald's Sequential Probability Ratio test for a Bernoulli parameter is studied to assess the influence of truncation on the tree probabilities of error of the first and second kind. It is shown that a natural ...
Shattuck, Nita Lewis; Matsangas, Panagiotis; Brown, Stephanie (Monterey, California, Naval Postgraduate School, 2015-04); NPS-OR-15-006This is the second phase of a longitudinal study comparing the fatigue levels, workload, and performance of crewmembers working on the 3-hrs on/9-hrs off (3/9) and the 5-hrs on/10-hrs off (5/10) watchstanding schedules. ...
Weitzman, R. A. (1982);In sequential testing for selection, an applicant for school or work responds via a computer terminal to one item at a time until an acceptance or rejection decision can be made with a present probability of error. The ...