This continuing project concerns further work on the problem of measurement error in general regression problems. The developed methodology will be applied to a number of data sets that the investigators have in their possession. The research to be performed falls into three broad categories. 1) Analysis of dietary intake data. Calibration studies that relate FFQs to usual intake will be investigated. Missing data and optimal semiparametric methods will be discussed. Estimating the distribution of usual intake will be studied. A new method, called nonparametric calibration, will be developed for relating dietary instruments to usual intake as an unknown function of covariates such as body mass index. 2) Functional and structural nonlinear measurement error modeling. New general methodology will be developed for nonlinear measurement error modeling when no assumptions are made about the underlying distribution of the error-prone predictor. 3) Semi parametric and dimension reduction methods. Motivated by problems in measurement error and missing data, the investigators will develop a general theory of semi parametric plug-in estimation, in which a semi parametric function is estimated and substituted into an unbiased estimating equation. Within the Generalized Partially Linear Single-Index Model (GPLSIM) family, results will be extended from quasi-likelihood models to general regression problems. An important application of this extension will be to nonparametric calibration in dietary intake studies.
| Sarkar, Abhra; Pati, Debdeep; Chakraborty, Antik et al. (2018) Bayesian Semiparametric Multivariate Density Deconvolution. J Am Stat Assoc 113:401-416 |
| Sun, Ryan; Carroll, Raymond J; Christiani, David C et al. (2018) Testing for gene-environment interaction under exposure misspecification. Biometrics 74:653-662 |
| Tekwe, Carmen D; Zoh, Roger S; Bazer, Fuller W et al. (2018) Functional multiple indicators, multiple causes measurement error models. Biometrics 74:127-134 |
| Bertrand, Aurelie; Legrand, Catherine; Carroll, Raymond J et al. (2017) Inference in a survival cure model with mismeasured covariates using a simulation-extrapolation approach. Polit Anal 104:31-50 |
| Hong, Chuan; Ning, Yang; Wang, Shuang et al. (2017) PLEMT: A NOVEL PSEUDOLIKELIHOOD BASED EM TEST FOR HOMOGENEITY IN GENERALIZED EXPONENTIAL TILT MIXTURE MODELS. J Am Stat Assoc 112:1393-1404 |
| Pfeiffer, Ruth M; Redd, Andrew; Carroll, Raymond J (2017) On the impact of model selection on predictor identification and parameter inference. Comput Stat 32:667-690 |
| Keadle, Sarah Kozey; Sampson, Joshua N; Li, Haocheng et al. (2017) An Evaluation of Accelerometer-derived Metrics to Assess Daily Behavioral Patterns. Med Sci Sports Exerc 49:54-63 |
| Ma, Shujie; Ma, Yanyuan; Wang, Yanqing et al. (2017) A Semiparametric Single-Index Risk Score Across Populations. J Am Stat Assoc 112:1648-1662 |
| Keogh, Ruth H; Carroll, Raymond J; Tooze, Janet A et al. (2016) Statistical issues related to dietary intake as the response variable in intervention trials. Stat Med 35:4493-4508 |
| 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 |
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