This proposed MERIT extension is a logical continuation of the current award, revolving around the development of new statistical methods and their application to studies involving cancer and nutrition. The following broad topics will be considered. ? Analysis of Dietary Intake Data: In conjunction with researchers at the NCI, we have developed access to a number of exciting dietary intake data sets, including a major biomarker study, two major surveillance studies and a major prospective cohort study. Our """"""""NCI-Method"""""""" for estimating the usual intake of foods uses one food at a time: we will get greater efficiency by developing methods for multiple foods simultaneously. Also, issues such as the healthy eating index (HEI) motivate the need to model multiple food intakes and nutrients simultaneously: we will develop those models and also statistical methods to fit them. ? Diet and Colon Carcinogenesis: We will develop semiparametric statistical methods for hierar- chical functional data to analyze a series of studies, done at the cellular level, involving diet, apoptosis, cellular response and colon carcinogenesis. Our new approach, based on a novel formulation of func- tional principal components, allows understanding of the effects of cell position in the colonic crypts, as well as incorporating crypt signahng, i.e., correlations of response among the crypts themselves. ? Semiparametric Methods: We will develop a series of novel statistical methods motivated by issues of gene-environment interaction studies. First, in case-control studies, we have shown that great gains in efficiency can be made if one can assume that genetic and environmental factors are independent in the population, possibly after conditioning on factors to account for population strat- ification. We will develop novel shrinkage approaches that allow efficient gene-environment inference with independence given strata holds but that are robust to deviations from this assumption. Second, we will consider studies for which the main interest is in whether there are genetic effects, but there is the possibility for gene-environment interaction. We will develop novel score-type tests for genetic effects in this context, where the careful use of projection ensures efficient inference. In the case of many genes, or SNPs, we will again use shrinkage ideas to improve the performance of score-type testing. This work will be extended to additive models and repeated measures/longitudinal data.

National Institute of Health (NIH)
National Cancer Institute (NCI)
Method to Extend Research in Time (MERIT) Award (R37)
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Special Emphasis Panel (NSS)
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Divi, Rao L
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Texas A&M University
Biostatistics & Other Math Sci
Schools of Arts and Sciences
College Station
United States
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Sun, Ryan; Carroll, Raymond J; Christiani, David C et al. (2018) Testing for gene-environment interaction under exposure misspecification. Biometrics 74:653-662
Peñaranda, Augusto; Garcia, Elizabeth; Barragán, Ana M et al. (2016) Factors associated with Allergic Rhinitis in Colombian subpopulations aged 1 to 17 and 18 to 59. Rhinology 54:56-67
Alexeeff, Stacey E; Carroll, Raymond J; Coull, Brent (2016) Spatial measurement error and correction by spatial SIMEX in linear regression models when using predicted air pollution exposures. Biostatistics 17:377-89
Kipnis, Victor; Freedman, Laurence S; Carroll, Raymond J et al. (2016) A bivariate measurement error model for semicontinuous and continuous variables: Application to nutritional epidemiology. Biometrics 72:106-15
Bhadra, Anindya; Carroll, Raymond J (2016) Exact sampling of the unobserved covariates in Bayesian spline models for measurement error problems. Stat Comput 26:827-840
Wang, Yanqing; Wang, Suojin; Carroll, Raymond J (2015) The direct integral method for confidence intervals for the ratio of two location parameters. Biometrics 71:704-13
Zhang, Xinyu; Cao, Jiguo; Carroll, Raymond J (2015) On the selection of ordinary differential equation models with application to predator-prey dynamical models. Biometrics 71:131-138
Lian, Heng; Liang, Hua; Carroll, Raymond J (2015) Variance Function Partially Linear Single-Index Models(1.) J R Stat Soc Series B Stat Methodol 77:171-194
Hong, Mee Young; Turner, Nancy D; Murphy, Mary E et al. (2015) In vivo regulation of colonic cell proliferation, differentiation, apoptosis, and P27Kip1 by dietary fish oil and butyrate in rats. Cancer Prev Res (Phila) 8:1076-83
Staicu, Ana-Maria; Lahiri, Soumen N; Carroll, Raymond J (2015) Significance tests for functional data with complex dependence structure. J Stat Plan Inference 156:1-13

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