Campus Units
Statistics, Center for Nondestructive Evaluation (CNDE)
Document Type
Article
Publication Version
Accepted Manuscript
Publication Date
3-1-2019
Journal or Book Title
Research in Nondestructive Evaluation
Volume
30
Issue
2
First Page
89
Last Page
111
DOI
10.1080/09349847.2017.1374493
Abstract
Probability of detection (POD) is commonly used to measure a nondestructive evaluation (NDE) inspection procedure’s performance. Due to inherent variability in the inspection procedure caused by variability in factors such as crack morphology and operators, it is important, for some purposes, to model POD as a random function. Traditionally, inspection variabilities are pooled and an estimate of the mean POD (averaged over all sources of variability) is reported. In some applications it is important to know how poor typical inspections might be, and this question is answered by estimating a quantile of the POD distribution. This article shows how to fit and compare different models to repeated-measures hit--miss data with multiple inspections with different operators for each crack and shows how to estimate the mean POD as well as quantiles of the POD distribution for binary (hit--miss) NDE data. We also show how to compute credible intervals (quantifying uncertainty due to limited data) for these quantities using a Bayesian estimation approach. We use NDE for the detection of fatigue cracks as the motivating example, but the concepts apply more generally to other NDE applications areas.
Copyright Owner
American Society for Nondestructive Testing
Copyright Date
2017
Language
en
File Format
application/pdf
Recommended Citation
Koh, Yew-Meng and Meeker, William Q., "Quantile POD for nondestructive evaluation with hit–miss data" (2019). Statistics Publications. 285.
https://lib.dr.iastate.edu/stat_las_pubs/285
Comments
This is an Accepted Manuscript of an article published by Taylor & Francis in Research in Nondestructive Evaluation on March 1, 2019, available online: http://www.tandfonline.com/10.1080/09349847.2017.1374493. Posted with permission.