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Semiparametric partial linear modeling of risk factors for ear infections: the Early Childhood Longitudinal Study

Le Chen, Ruochen Tian, Guanjie Chen, Ao Yuan, Chuan-Ming Li, Amy R. Bentley, Howard J. Hoffman and Charles Rotimi

Journal of Applied Statistics, 2024, vol. 51, issue 3, 430-450

Abstract: The Early Childhood Longitudinal Study–Kindergarten Class of 2010–2011 (ECLS-K:2011) ascertained timing of ear infections within age specified intervals and parent's/caregiver's report of medically diagnosed hearing loss. In this nationally representative, school-based sample of children followed from kindergarten entry through fifth grade, academic performance in reading, mathematics, and science was assessed longitudinally. Prior investigations of this ECLS-K:2011 cohort showed that age has a non-linear, monotonically increasing functional relationship with academic performance. Because of this knowledge, a semiparametric partial linear model is proposed, in which the effect of age is modeled by an unknown monotonically increasing function along with other regression parameters. The parameters are estimated by a semiparametric maximum likelihood estimator. A test of a constant effect of age is also proposed. Simulation studies are conducted to evaluate the performance of the proposed method, as compared with the commonly used linear model; the former outperforms the latter based on several criteria. We then analyzed ECLS-K:2011 data to compare results of the partial linear parametric model estimation with that of classical linear regression models.

Date: 2024
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DOI: 10.1080/02664763.2022.2134316

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