A Semiparametric Single-Index Risk Score Across Populations

Publication Type:
Journal Article
Journal of the American Statistical Association, 2017, 112 (520), pp. 1648 - 1662
Issue Date:
Filename Description Size
4_3_2018_A Semipara.pdfPublished Version1.59 MB
Adobe PDF
Full metadata record
© 2017 American Statistical Association. We consider a problem motivated by issues in nutritional epidemiology, across diseases and populations. In this area, it is becoming increasingly common for diseases to be modeled by a single diet score, such as the Healthy Eating Index, the Mediterranean Diet Score, etc. For each disease and for each population, a partially linear single-index model is fit. The partially linear aspect of the problem is allowed to differ in each population and disease. However, and crucially, the single-index itself, having to do with the diet score, is common to all diseases and populations, and the nonparametrically estimated functions of the single-index are the same up to a scale parameter. Using B-splines with an increasing number of knots, we develop a method to solve the problem, and display its asymptotic theory. An application to the NIH-AARP Study of Diet and Health is described, where we show the advantages of using multiple diseases and populations simultaneously rather than one at a time in understanding the effect of increased Milk consumption. Simulations illustrate the properties of the methods. Supplementary materials for this article are available online.
Please use this identifier to cite or link to this item: