An Empirical Bayes Attribute Control Chart for Process Fraction Defective.

Abstract

An empirical Bayes attribute control chart is developed for monitoring the fraction defective of a process (p-chart). The procedure requires no specific assumption regarding the incoming (prior) process distribution. Binomial sampling is assumed. The performance of the method is examined by means of extensive Monte Carlo simulation. Comparisons are made with the usual classical p-chart. In all cases the Empirical Bayes p-chart has larger power for detecting a shift in the mean of the process distribution. The procedure performs best when the process variation is small. The power is very large for detecting moderate shifts in the process mean. Finally, two real-data applications are presented, discussed, and appropriate conclusions drawn.

Document Details

Document Type
Technical Report
Publication Date
Jul 31, 1975
Accession Number
ADA014621

Entities

People

  • Harry F. Martz Jr.
  • Prestone C. Chen

Organizations

  • Texas Tech University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Binomials
  • Collecting Methods
  • Data Science
  • Information Science
  • Mathematics
  • Monitoring
  • Monte Carlo Method
  • Sampling
  • Simulations
  • Statistical Sampling

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Systems Analysis and Design