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Analyzing count data with measurement error

Journal Article · · Quality and Reliability Engineering International
DOI:https://doi.org/10.1002/qre.3078· OSTI ID:1865025

In this article, we analyze observed count data such as the number of defects in a steel product where the observed counts are the true counts measured with errors. We account for the measurement error by using a measurement error model based on a latent lognormal (LLN) distribution. We consider making inference about a single population (e.g., from samples of a production lot) and a regression model (e.g., from runs of a designed experiment), where the measurement system properties are known, that is, the parameters of the LLN distribution are known. Then, we consider simultaneous inference for the single population and regression model as well as the measurement system. We demonstrate the proposed methodology with both simulated and real observed counts.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1865025
Report Number(s):
LA-UR-21-28393
Journal Information:
Quality and Reliability Engineering International, Journal Name: Quality and Reliability Engineering International Journal Issue: 5 Vol. 38; ISSN 0748-8017
Publisher:
WileyCopyright Statement
Country of Publication:
United States
Language:
English

References (5)

On gauge repeatability and reproducibility studies for counts journal August 2021
Gauge Capability and Designed Experiments. part i: Basic Methods journal January 1993
A Bubble Mixture Experiment Project for Use in an Advanced Design of Experiments Class journal March 2007
Bayesian Data Analysis book November 2013
Inference from Iterative Simulation Using Multiple Sequences journal November 1992

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