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Analyzing degradation data with a random effects spline regression model

Journal Article · · Quality Engineering

This study proposes using a random effects spline regression model to analyze degradation data. Spline regression avoids having to specify a parametric function for the true degradation of an item. A distribution for the spline regression coefficients captures the variation of the true degradation curves from item to item. We illustrate the proposed methodology with a real example using a Bayesian approach. The Bayesian approach allows prediction of degradation of a population over time and estimation of reliability is easy to perform.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1352372
Report Number(s):
LA-UR--16-28372
Journal Information:
Quality Engineering, Journal Name: Quality Engineering Journal Issue: 3 Vol. 29; ISSN 0898-2112
Publisher:
American Society for Quality ControlCopyright Statement
Country of Publication:
United States
Language:
English

References (16)

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The Elements of Statistical Learning book January 2009
The Elements of Statistical Learning book January 2009
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Understanding the Metropolis-Hastings Algorithm journal November 1995
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Using Degradation Data to Assess Reliability journal October 2005
Quality quandaries: A gentle introduction to Bayesian statistics journal June 2016
Analyzing accelerated degradation data by nonparametric regression journal June 1999
Domain-Level Covariance Analysis for Multilevel Survey Data With Structured Nonresponse journal December 2008
Bayesian Data Analysis book November 2013
Using Degradation Measures to Estimate a Time-to-Failure Distribution journal May 1993
Understanding the Metropolis-Hastings Algorithm journal November 1995
Explaining the Gibbs Sampler journal August 1992

Cited By (1)

Quality quandaries: Predicting a population of curves journal August 2017

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