Nondestructive Evaluation (NDE) Technology Initiatives (NTIP). Delivery Order 0039: Statistical Comparison of Competing Material Models

Abstract

The ability to decide objectively between competing material models has always been an important engineering task. For a variety of reasons, simple inspection of the general "fit" of various models to the appropriate data does not always result in an obvious choice for the superior model, and heretofore there has been no statistical measure that can be used to choose between models (except in the simple case of "nested" models). Bayes factors overcome these previous limitations and can provide a valid objective statistical measure for choosing between competing material models. This study explores the use of Bayes factors as an objective measure in choosing between competing material models. The focus is on the use of this method by engineers who may or may not be well versed in statistical methods. In addition, the statistical background necessary to gain an in-depth understanding of the Bayes method is included as appendices. Also discussed in some detail is the Random Fatigue Limit s-N model proposed by Pascal and Meeker, which holds considerable promise for describing HCF behavior, as well as the applicability of applying Bayes factors to this model.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2003
Accession Number
ADA415275

Entities

People

  • Charles Annis

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Algorithms
  • Bayesian Networks
  • Computational Science
  • Data Mining
  • Data Science
  • Distribution Functions
  • Information Science
  • Materials
  • Monte Carlo Method
  • Operating Systems
  • Probability
  • Probability Distributions
  • Random Variables
  • Statistical Algorithms
  • Statistical Analysis
  • Test And Evaluation

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Statistical inference.
  • Structural Health Monitoring of Composite Structures.