skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Bayesian probability of agreement for comparing the similarity of response surfaces

Journal Article · · Journal of Quality Technology
 [1];  [2];  [3]
  1. Univ. of San Francisco, CA (United States)
  2. Saint Louis Univ., MO (United States)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

For a variety of linear and generalized linear models, there may be interest in evaluating whether the expected response values in two different populations are sufficiently similar to be considered practically equivalent. The probability of agreement has been introduced as a strategy for quantifying the similarity between two groups. We propose a Bayesian version of the probability of agreement to quantify the similarity between linear and generalized linear response surfaces. The proposed methodology is based on Markov chain Monte Carlo estimation and it allows for an intuitive interpretation based directly on population parameters. As demonstrated, the methodology can be flexibly applied to a variety of different models. We illustrate its use with three examples for which the response depends on predictor variables through a linear, logistic, or Poisson regression model. The computation associated with this approach has been automated with a freely available R Shiny app.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1514939
Report Number(s):
LA-UR-17-24158
Journal Information:
Journal of Quality Technology, Vol. 52, Issue 1; ISSN 0022-4065
Publisher:
American Society for Quality (ASQ)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

References (13)

The difference between “equivalent” and “not different” journal October 2015
Comparing heteroscedastic measurement systems with the probability of agreement journal May 2017
Design and Analysis of Method Equivalence Studies journal December 2009
Equivalence and Noninferiority Tests for Quality, Manufacturing and Test Engineers journal October 2014
Quantifying similarity in reliability surfaces using the probability of agreement journal March 2017
Design and analysis of confirmation experiments journal April 2019
Bayesian probability of predictive agreement for comparing the outcome of two separate regressions: Bayesian probability of predictive agreement for comparing the outcome of two separate regressions
  • Stevens, Nathaniel T.; Rigdon, Steven E.; Anderson-Cook, Christine M.
  • Quality and Reliability Engineering International, Vol. 34, Issue 6 https://doi.org/10.1002/qre.2284
journal April 2018
Comparing the Reliability of Related Populations With the Probability of Agreement journal July 2016
Assessing agreement between two measurement systems: An alternative to the limits of agreement approach journal September 2015
A Method for Determining Equivalence in Industrial Applications journal March 2002
Comparing the Reliability of Related Populations With the Probability of Agreement dataset April 2017
Generalized Linear Models journal December 2000
Comparing the Reliability of Related Populations With the Probability of Agreement [Supplemental Data] dataset April 2017

Cited By (1)

Design and analysis of confirmation experiments journal April 2019