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AuthorBandara, Keerthi
AuthorAbdel-Salam, Abdel-Salam G.
AuthorBirch, Jeffrey B.
Available date2023-11-29T10:06:01Z
Publication Date2020
Publication NameApplied Stochastic Models in Business and Industry
ResourceScopus
ISSN15241904
URIhttp://dx.doi.org/10.1002/asmb.2587
URIhttp://hdl.handle.net/10576/49804
AbstractThe generalized linear mixed model (GLMM) becomes very popular in profile monitoring, especially when the production processes follow nonnormal distribution. In most of the real-life applications in industry, medicine, biology...and so on researchers assume that the response variable follows a Bernoulli or Binomial distribution. The majority of previous studies in profile monitoring focused on parametric modeling using the logistic regression model, with both fixed or random effects, under the assumption of correct model specification. This research considers those cases where the parametric logistic regression model for the family of profiles is unknown or at least uncertain. Consequently, we propose two mixed model methods to monitor profiles from the exponential family: a nonparametric (NP) regression method based on the penalized spline regression technique and a semiparametric method (model robust profile monitoring for the generalized linear mixed model) which combines the advantages of both the parametric and NP methods. Several Hotelling T2 charts that have been studied for a binary response variable with replicates for Phase I profile monitoring. The performance of the proposed method is evaluated by using mean squares of errors and probability of signals criteria. The results showed satisfactory performance of the proposed control charts.
Languageen
PublisherJohn Wiley and Sons Ltd
SubjectGLMM
logistic regression
nonparametric
profile monitoring
semiparametric
TitleModel robust profile monitoring for the generalized linear mixed model for Phase I analysis
TypeConference Paper
Pagination1037-1059
Issue Number6
Volume Number36
dc.accessType Open Access


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