TWO-STAGE CHAIN SAMPLING INSPECTION PLANS WITH DIFFERENT SAMPLE SIZES IN THE TWO STAGES.

Abstract

This report presents a further generalization of the family of 'two-stage' chain sampling inspection plans--the use of different sample sizes in the two stages. Plans presented in previous reports specify the use of the same sample size in both stages. Evaluation of the operating characteristics is accomplished by the Markov chain approach developed in the preceding reports. Markov chains for a number of plans are included and several algebraic solutions are developed. Since these plans involve a variable amount of sampling, an evaluation of the average sample number (ASN) is developed. OC curves are presented and discussed for plans with acceptance numbers, C sub 1, C sub 2 = 0,1; 0,2, 1,2; and 0,3, 1,3 and sample sizes, n sub 1, n sub 2 = 10,5; 20,10; and 200,100. ASN curves for the same plans for n sub 1, n sub 2 = 200,100 are also presented. Then to compare the two-sample-size plans with plans having only one sample size, OC curves for a number of each of these types of plans are presented. Comparisons indicate that improved discrimination is achieved by the two-sample-size plans. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1966
Accession Number
AD0632236

Entities

People

  • H. F. Dodge
  • K. S. Stephens

Organizations

  • Rutgers University–New Brunswick

Tags

DTIC Thesaurus Topics

  • Discrimination
  • Inspection
  • Markov Chains
  • Sampling
  • Test And Evaluation

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.