Multivariate Quality Control Procedures

Abstract

This report presents the design procedures and average run lengths of two multivariate cumulative sum (CUSUM) quality control procedures. The first CUSUM procedure reduces each multivariate observation to a scaler and then forms a CUSUM of the scalers. The second CUSUM procedure forms a CUSUM vector directly from the observations. These two procedures are compared to each other and to the multivariate Shewhart chart. Other multivariate quality control procedures are mentioned. Robustness, the Fast Initial Response feature for CUSUM schemes, and combined Shewhart-CUSUM schemes are discussed. Keywords: Shewhart chart, Average run length, Cumulative sum scheme.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1988
Accession Number
ADA203305

Entities

People

  • Ronald B. Crosier

Organizations

  • Edgewood Chemical Biological Center

Tags

DTIC Thesaurus Topics

  • Covariance
  • Detection
  • Distribution Functions
  • Markov Chains
  • New York
  • Normal Distribution
  • Observation
  • Probability
  • Probability Distributions
  • Quality Control
  • Random Variables
  • Regression Analysis
  • Simulations
  • Square Roots
  • Standards
  • Statistical Analysis
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.