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Electronic monitoring device event modelling on an individual‐subject basis using adaptive Poisson regression
Author(s) -
Knafl George J.,
Fennie Kristopher P.,
Bova Carol,
Dieckhaus Kevin,
Williams Ann B.
Publication year - 2004
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.1624
Subject(s) - computer science , poisson regression , poisson distribution , regression analysis , data mining , event (particle physics) , parametric statistics , regression , statistics , machine learning , mathematics , medicine , population , physics , environmental health , quantum mechanics
An adaptive approach to Poisson regression modelling is presented for analysing event data from electronic devices monitoring medication‐taking. The emphasis is on applying this approach to data for individual subjects although it also applies to data for multiple subjects. This approach provides for visualization of adherence patterns as well as for objective comparison of actual device use with prescribed medication‐taking. Example analyses are presented using data on openings of electronic pill bottle caps monitoring adherence of subjects with HIV undergoing highly active antiretroviral therapies. The modelling approach consists of partitioning the observation period, computing grouped event counts/rates for intervals in this partition, and modelling these event counts/rates in terms of elapsed time after entry into the study using Poisson regression. These models are based on adaptively selected sets of power transforms of elapsed time determined by rule‐based heuristic search through arbitrary sets of parametric models, thereby effectively generating a smooth non‐parametric regression fit to the data. Models are compared using k‐fold likelihood cross‐validation. Copyright © 2004 John Wiley & Sons, Ltd.