Journal
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
Volume 104, Issue 487, Pages 929-943Publisher
AMER STATISTICAL ASSOC
DOI: 10.1198/jasa.2009.ap06623
Keywords
Air bag timing; Bayesian analysis; Bias; Hierarchical modeling; Hypothesis testing; Validation; Vehicle design
Categories
Funding
- General Motors
- National Science Foundation [DMS-0073952]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0757527] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0757367, 0757549] Funding Source: National Science Foundation
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The CRASH computer model simulates the effect of a vehicle colliding against different barrier types. If it accurately represents real vehicle crashworthiness, the computer model can be of great value in various aspects of vehicle design, such as the setting of timing of air bag releases. The goal of this study is to address the problem of validating the computer model for such design goals, based on utilizing computer model runs and experimental data from real crashes. This task is complicated by the fact that (i) the output of this model consists of smooth functional data, and (ii) certain types of collision have very limited data. We address problem (iii) by extending existing Gaussian process-based methodology developed for models that produce real-valued Output. and resort to Bayesian hierarchical modeling to attack problem (ii). Additionally, we show how to formally test if the computer model reproduces reality. Supplemental materials for the article are available online.
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