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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 | Source: | 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. | Keywords: | Deviance information criterion; Fractional polynomial; model; Power-law model.;deviance information criterion; fractional polynomial model; power-law model | Document URI: | http://hdl.handle.net/1942/17695 | ISSN: | 1946-6315 | e-ISSN: | 1946-6315 | DOI: | 10.1080/19466315.2014.911201 | ISI #: | 000341582900001 | Rights: | © American Statistical Association | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2015 |
Appears in Collections: | Research publications |
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Revised_BayHPV_V3.pdf | Peer-reviewed author version | 308.61 kB | Adobe PDF | View/Open |
435.pdf Restricted Access | Published version | 711.78 kB | Adobe PDF | View/Open Request a copy |
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