Evaluation of a class of sequential sampling procedures
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Authors
Piper, Larry Dean
Subjects
Sequential estimation procedure
Bio-assay
Sensitivity testing
Up-and-down method
Decision theory
Field artillery precision registration
Random walk design
Bio-assay
Sensitivity testing
Up-and-down method
Decision theory
Field artillery precision registration
Random walk design
Advisors
Barr, Donald R.
Date of Issue
1970-04
Date
April 1970
Publisher
Monterey, California; Naval Postgraduate School
Language
en_US
Abstract
A class of sequential procedures for estimating the mean of a normal distribution having known variance from quantal response data is discussed. This class includes as special; members the up-and-down method and other procedures commonly used in biological assay. A method of evaluating alternative procedures belonging to a given subset of the class id presented. This method is essentially an application of Wald's decision theory. A loss plus cost objective function is used and the efficiency of a particular procedure is determined by its ability to satisfy one of the four criteria considered. Criteria are discussed for use with both the expected value and variance of the total loss, which may be determined from matrix equations that are derived. Two applications are given. The first is an application to procedures commonly used in biological assay. In the second, an application to the elevation procedure of the precision registration technique used by U.S. Army and Marin Corps field artillery units, it is seen that under certain conditions, Dixon's modified up-and-down method strictly dominates the elevation procedure currently in use.
Type
Thesis
Description
Series/Report No
Department
Department of Operations Analysis
Organization
Naval Postgraduate School
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.