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http://dx.doi.org/10.5351/KJAS.2016.29.7.1295

Derivation of a benchmark dose lower bound of lead for attention deficit hyperactivity disorder using a longitudinal data set  

Lee, Juhyung (Department of Statistics, University of Georgia)
Kim, Si Yeon (Department of Applied Statistics, Yonsei University)
Ha, Mina (Department of Preventive Medicine, College of Medicine, Dankook University)
Kwon, Hojang (Department of Preventive Medicine, College of Medicine, Dankook University)
Kim, Byung Soo (Department of Applied Statistics, Yonsei University)
Publication Information
The Korean Journal of Applied Statistics / v.29, no.7, 2016 , pp. 1295-1309 More about this Journal
Abstract
This paper is to reproduce the result of Kim et al. (2014) by deriving a benchmark dose lower bound (BMDL) of lead based on the 2005 cohort data set of Children's Health and Environmental Research (CHEER) data set. The ADHD rating scales in the 2005 cohort were not consistent along the three follow-ups since two different ADHD rating scales were used in the cohort. We first unified the ADHD rating scales in the 2005 cohort by deriving a conversion formula using a penalized linear spline. We then constructed two linear mixed models for the 2005 cohort which reflected the longitudinal characteristics of the data set. The first model introduced the random intercept and the random slope terms and the second model assumed the first order autoregressive structure of the error term. Using these two models, we derived the BMDLs of lead and reconfirmed the "regression to the mean" nature of the ADHD score discovered by Kim et al. (2014). We also noticed that there was a definite difference between the sampling distributions of the two cohorts. As a result, taking this difference into account, we were able to obtain the consistent result with Kim et al. (2014).
Keywords
attention deficit hyperactivity disorder; benchmark dose lower bound; longitudinal data; linear mixed model; penalized linear spline;
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Times Cited By KSCI : 2  (Citation Analysis)
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