Quantifying similarity in reliability surfaces using the probability of agreement

Stevens, Nathaniel T.; Anderson-Cook, Christine Michaela

doi:10.1080/08982112.2017.1312004

Title: Quantifying similarity in reliability surfaces using the probability of agreement

Journal Article · Thu Mar 30 00:00:00 EDT 2017 · Quality Engineering

DOI:https://doi.org/10.1080/08982112.2017.1312004· OSTI ID:1352375

Stevens, Nathaniel T. ^[1];

^[2]

Univ. of San Francisco, San Francisco, CA (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

When separate populations exhibit similar reliability as a function of multiple explanatory variables, combining them into a single population is tempting. This can simplify future predictions and reduce uncertainty associated with estimation. However, combining these populations may introduce bias if the underlying relationships are in fact different. The probability of agreement formally and intuitively quantifies the similarity of estimated reliability surfaces across a two-factor input space. An example from the reliability literature demonstrates the utility of the approach when deciding whether to combine two populations or to keep them as distinct. As a result, new graphical summaries provide strategies for visualizing the results.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1352375

Report Number(s):: LA-UR-16-28976

Journal Information:: Quality Engineering, Vol. 29, Issue 3; ISSN 0898-2112

Publisher:: American Society for Quality ControlCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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References (17)

The difference between “equivalent” and “not different” Anderson-Cook, Christine M.; Borror, Connie M. Quality Engineering, Vol. 28, Issue 3 https://doi.org/10.1080/08982112.2015.1079918	journal	October 2015
Improving Reliability Understanding Through Estimation and Prediction with Usage Information Lu, Lu; Anderson-Cook, Christine M. Quality Engineering, Vol. 27, Issue 3 https://doi.org/10.1080/08982112.2014.990033	journal	June 2015
Beyond the t-Test: Statistical Equivalence Testing Limentani, Giselle B.; Ringo, Moira C.; Ye, Feng Analytical Chemistry, Vol. 77, Issue 11 https://doi.org/10.1021/ac053390m	journal	June 2005
Comparing heteroscedastic measurement systems with the probability of agreement Stevens, Nathaniel T.; Steiner, Stefan H.; MacKay, R. Jock Statistical Methods in Medical Research, Vol. 27, Issue 11 https://doi.org/10.1177/0962280217702540	journal	May 2017
Design and Analysis of Method Equivalence Studies Borman, Phil J.; Chatfield, Marion J.; Damjanov, Ivana Analytical Chemistry, Vol. 81, Issue 24 https://doi.org/10.1021/ac901945f	journal	December 2009
Equivalence and Noninferiority Tests for Quality, Manufacturing and Test Engineers Szarka, John L. Journal of Quality Technology, Vol. 46, Issue 4 https://doi.org/10.1080/00224065.2014.11917979	journal	October 2014
An Overview on Assessing Agreement with Continuous Measurements Barnhart, Huiman X.; Haber, Michael J.; Lin, Lawrence I. Journal of Biopharmaceutical Statistics, Vol. 17, Issue 4 https://doi.org/10.1080/10543400701376480	journal	July 2007
Statistical Techniques For Comparing Measurers And Methods Of Measurement: A Critical Review Ludbrook, John Clinical and Experimental Pharmacology and Physiology, Vol. 29, Issue 7 https://doi.org/10.1046/j.1440-1681.2002.03686.x	journal	July 2002
Evolution of reliability engineering discipline over the last six decades: a comprehensive review Bhamare, Sunil S.; Yadav, Om Prakash; Rathore, Ajay International Journal of Reliability and Safety, Vol. 1, Issue 4 https://doi.org/10.1504/IJRS.2007.016256	journal	January 2007
Comparing the Reliability of Related Populations With the Probability of Agreement Stevens, Nathaniel T.; Anderson-Cook, Christine M. Technometrics, Vol. 59, Issue 3 https://doi.org/10.1080/00401706.2016.1214180	journal	July 2016
Statistical Model Selection for Better Prediction and Discovering Science Mechanisms That Affect Reliability Anderson-Cook, Christine; Morzinski, Jerome; Blecker, Kenneth Systems, Vol. 3, Issue 3 https://doi.org/10.3390/systems3030109	journal	August 2015
Industrial statistics: The challenges and the research Steinberg, David M. Quality Engineering, Vol. 28, Issue 1 https://doi.org/10.1080/08982112.2015.1100453	journal	January 2016
Assessing agreement between two measurement systems: An alternative to the limits of agreement approach Stevens, Nathaniel T.; Steiner, Stefan H.; MacKay, R. Jock Statistical Methods in Medical Research, Vol. 26, Issue 6 https://doi.org/10.1177/0962280215601133	journal	September 2015
Reliability Meets Big Data: Opportunities and Challenges Meeker, William Q.; Hong, Yili Quality Engineering, Vol. 26, Issue 1 https://doi.org/10.1080/08982112.2014.846119	journal	December 2013
Measuring agreement in method comparison studies Bland, J. M.; Altman, D. G. Statistical Methods in Medical Research, Vol. 8, Issue 2 https://doi.org/10.1191/096228099673819272	journal	June 1999
A Method for Determining Equivalence in Industrial Applications Richter, Scott J.; Richter, Carri Quality Engineering, Vol. 14, Issue 3 https://doi.org/10.1081/QEN-120001876	journal	March 2002
Measuring agreement in method comparison studies Bland, J. Martin; Altman, Douglas G. Statistical Methods in Medical Research, Vol. 8, Issue 2 https://doi.org/10.1177/096228029900800204	journal	April 1999

Cited By (4)

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
How to Host An Effective Data Competition: Statistical Advice for Competition Design and Analysis Anderson‐Cook, Christine M.; Myers, Kary L.; Lu, Lu Statistical Analysis and Data Mining: The ASA Data Science Journal, Vol. 12, Issue 4 https://doi.org/10.1002/sam.11404	journal	February 2019
Bayesian probability of agreement for comparing the similarity of response surfaces Stevens, Nathaniel T.; Rigdon, Steven E.; Anderson-Cook, Christine M. Journal of Quality Technology https://doi.org/10.1080/00224065.2019.1569961	journal	April 2019
Design and analysis of confirmation experiments Stevens, Nathaniel T.; Anderson-Cook, Christine M. Journal of Quality Technology, Vol. 51, Issue 2 https://doi.org/10.1080/00224065.2019.1571344	journal	April 2019

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