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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/17695

Title: Non-linear Fractional Polynomials for Estimating Long-Term Persistence of Induced Anti-HPV Antibodies: A Hierarchical Bayesian Approach
Authors: Aregay, Mehreteab
Shkedy, Ziv
Molenberghs, Geert
David, Marie-Pierre
Tibaldi, Fabian
Issue Date: 2014
Publisher: AMER STATISTICAL ASSOC
Citation: STATISTICS IN BIOPHARMACEUTICAL RESEARCH, 6 (3), p. 199-212
Abstract: When the true relationship between a covariate and an outcome is nonlinear, one should use a nonlinear mean structure that can take this pattern into account. In this article, the fractional polynomial modeling framework, which assumes a prespecified set of powers, is extended to a nonlinear fractional polynomial framework (NLFP). Inferences are drawn in a Bayesian fashion. The proposed modeling paradigm is applied to predict the long-term persistence of vaccine-induced anti-HPV antibodies. In addition, the subject-specific posterior probability to be above a threshold value at a given time is calculated. The model is compared with a power-law model using the deviance information criterion (DIC). The newly proposed model is found to fit better than the power-law model. A sensitivity analysis was conducted, from which a relative independence of the results from the prior distribution of the power was observed. Supplementary materials for this article are available online.
Notes: [Aregay, Mehreteab] Katholieke Univ Leuven, I BioStat, B-3000 Leuven, Belgium. [Shkedy, Ziv; Molenberghs, Geert] Univ Hasselt, I BioStat, B-3590 Diepenbeek, Belgium. [David, Marie-Pierre; Tibaldi, Fabian] GlaxoSmithKline Biol, B-1330 Rixensart, Belgium.
URI: http://hdl.handle.net/1942/17695
DOI: 10.1080/19466315.2014.911201
ISI #: 000341582900001
ISSN: 1946-6315
Category: A1
Type: Journal Contribution
Validation: ecoom, 2015
Appears in Collections: Research publications

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