A generalized linear model approach to designing accelerated life test experiments

Eric M. Monroe, Rong Pan, Christine M. Anderson-Cook, Douglas Montgomery, Connie M. Borror

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

Optimal experimental design practices are prominent in many applications. This paper proposes an alternate way of computing the information matrix, a key consideration in planning an accelerated life test. The generalized linear model approach allows optimal designs to be computed using iteratively weighted least-square solutions versus a maximum likelihood method. This approach is demonstrated with an assumed exponential distribution and allows the practitioner to observe the underlying structure of the optimal experimental design matrix and its relationship to important factors such as censoring and a nonlinear response function. Optimality criteria are discussed for both parameter estimation and prediction variance at an intended usage condition, which is typically outside the feasible accelerated test region.

Original languageEnglish (US)
Pages (from-to)595-607
Number of pages13
JournalQuality and Reliability Engineering International
Volume27
Issue number4
DOIs
StatePublished - Jun 2011

Fingerprint

Design of experiments
Parameter estimation
Maximum likelihood
Experiments
Planning
Experimental design
Experiment
Generalized linear model
Optimal design
Factors
Prediction
Weighted least squares
Optimality
Censoring
Exponential distribution

Keywords

  • censoring
  • design of experiments
  • exponential
  • optimal designs
  • use condition
  • Weibull distribution

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Management Science and Operations Research

Cite this

A generalized linear model approach to designing accelerated life test experiments. / Monroe, Eric M.; Pan, Rong; Anderson-Cook, Christine M.; Montgomery, Douglas; Borror, Connie M.

In: Quality and Reliability Engineering International, Vol. 27, No. 4, 06.2011, p. 595-607.

Research output: Contribution to journalArticle

Monroe, Eric M. ; Pan, Rong ; Anderson-Cook, Christine M. ; Montgomery, Douglas ; Borror, Connie M. / A generalized linear model approach to designing accelerated life test experiments. In: Quality and Reliability Engineering International. 2011 ; Vol. 27, No. 4. pp. 595-607.
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