Inverting Tolerance Bounds for Confidence on a Specified Proportion of a Population Meeting a Specification

• Autores: M.S. Hamada, A. A. Robertson
• Localización: Journal of quality technology: A quarterly journal of methods applications and related topics, ISSN 0022-4065, Nº. 3, 47, 2015, págs. 209-219
• Idioma: inglés
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  • [This abstract is based on the authors' abstract.] This article considers methods to obtain the confidence that a specified proportion of the population meets a specification. For example, how confident can one be that 90% (0.90) of the population does not exceed an upper specification? The authors show how confidence can be obtained by inverting tolerance bounds. Also, a Bayesian approach can be used to obtain a posterior probability that a specified proportion of the population meets a specification. The article considers the single normal population and simple linear regression and nonlinear regression models. The two methods are also compared via a simulation study.