Title: | Clustered mixed nonhomogeneous Poisson process spline models for the analysis of recurrent event panel data |
Address: | "School of Mathematics and Statistics, Carleton University, Ottawa, Ontario K1S 5B6, Canada email:jdn@math.carleton.ca. Department of Statistics and Actuarial Science, Simon Fraser University, Burnaby, British Columbia V5A 1S6, Canada email:dean@stat.sfu.ca" |
DOI: | 10.1111/j.1541-0420.2007.00940.x |
ISSN/ISBN: | 1541-0420 (Electronic) 0006-341X (Print) 0006-341X (Linking) |
Abstract: | "A flexible semiparametric model for analyzing longitudinal panel count data arising from mixtures is presented. Panel count data refers here to count data on recurrent events collected as the number of events that have occurred within specific follow-up periods. The model assumes that the counts for each subject are generated by mixtures of nonhomogeneous Poisson processes with smooth intensity functions modeled with penalized splines. Time-dependent covariate effects are also incorporated into the process intensity using splines. Discrete mixtures of these nonhomogeneous Poisson process spline models extract functional information from underlying clusters representing hidden subpopulations. The motivating application is an experiment to test the effectiveness of pheromones in disrupting the mating pattern of the cherry bark tortrix moth. Mature moths arise from hidden, but distinct, subpopulations and monitoring the subpopulation responses was of interest. Within-cluster random effects are used to account for correlation structures and heterogeneity common to this type of data. An estimating equation approach to inference requiring only low moment assumptions is developed and the finite sample properties of the proposed estimating functions are investigated empirically by simulation" |
Keywords: | "Animals Biometry/*methods Cluster Analysis Data Interpretation, Statistical Female Humans Likelihood Functions Longitudinal Studies Male *Models, Statistical Moths/drug effects/physiology Poisson Distribution Sex Attractants/pharmacology/physiology;" |
Notes: | "MedlineNielsen, J D Dean, C B eng N01HC25195/HL/NHLBI NIH HHS/ R03 AG031113/AG/NIA NIH HHS/ R03 AG031113-01A2/AG/NIA NIH HHS/ R03 AG031113-02/AG/NIA NIH HHS/ Research Support, Non-U.S. Gov't 2007/12/01 Biometrics. 2008 Sep; 64(3):751-761. doi: 10.1111/j.1541-0420.2007.00940.x. Epub 2007 Nov 19" |