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19970113BuchAnalyzing bivariate continuous data that have been grouped into categories defined by Sample Quantiles of the Marginal Distributions Borkowf, Craig B.; Gail, Mitchell H.; Carroll, Raymond J.; Gill, Richard D.Epidemiologists sometimes study the association between two measures of exposure on the same subjects by grouping the data into categories that are defined by sample quantiles of the two marginal distributions. Although ...

19970113BuchDesign Aspects of Calibration Studies in Nutrition, with Analysis of Missing Data in Linear Measurement Error Models Carroll, Raymond J.; Freedman, Laurence; Pee, DavidMotivated by an example in nutritional epidemiology, we investigate some design and analysis aspects of linear measurement error models with missing surrogate data. The specific problem investigated consists of an initial ...

20060519BuchEstimating Covariance Matrices Using Estimating Functions in Nonparametric and Semiparametric Regression Carroll, Raymond J.; Iturria, Stephen J.; Gutierrez, Roberto G.We use ideas from estimating function theory to derive new, simply computed consistent covariance matrix estimates in nonparametric regression and in a class of semiparametric problems. Unlike other estimates in the ...

19990114BuchEstimation in an additive model when the components are linked parametrically Carroll, Raymond J.; Härdle, Wolfgang Karl; Mammen, EnnoMotivated by a nonparametric GARCH model we consider nonparametric additive regression and autoregression models in the special case that the additive components are linked parametrically. We show that the parameter can ...

19970404BuchLarge Sample Theory in a Semiparametric Partially Linear ErrorsinVariables Models Liang, Hua; Härdle, Wolfgang Karl; Carroll, Raymond J.

19970114BuchLocal Linear Regression for Generalized Linear Models with Missing Data Wang, C.Y.; Wang, Soujin; Carroll, Raymond J.; Gutierrez, Roberto G.Fan, Heckman and Wand (1995) proposed locally weighted kernel polynomial regression methods for generalized linear models and quasilikelihood functions. When the covariate variables are missing at random, we propose a ...

19970113BuchMeasurement Error, Biases, and the Validation of Complex Models Carroll, Raymond J.; Galindo, Christian D.There are three major points to this article: 1. Measurement error causes biases in regression fits. The line one would obtain if one could accurately measure exposure to environmental lead media will differ in important ...

19970122BuchNonparametric Estimation Via Local Estimating Equations, with Applications to Nutrition Calibration Carroll, Raymond J.; Ruppert, David; Welsh, A. H.Estimating equations have found wide popularity recently in parametric problems, yielding consistent estimators with asymptotically valid inferences obtained via the sandwich formula. Motivated by a problem in nutritional ...

19970113BuchNonparametric Function Estimation of the Relationship between two Repeatedly Measured Variables Ruckstuhl, A.; Welsh, A. H.; Carroll, Raymond J.We describe methods for estimating the regression function nonparametrically and for estimating the variance components in a simple variance component model which is sometimes used for repeated measures data or data with ...

19970115BuchNonparametric Kernel and Regression Spline Estimation in the Presence of Measurement Error Maca, J. D.; Carroll, Raymond J.; Ruppert, DavidIn many regression applications both the independent and dependent variables are measured with error. When this happens, conventional parametric and nonparametric regression techniques are no longer valid. We consider two ...

19951215BuchPlugIn Semiparametric Estimating Equations Gutierrez, Roberto G.; Carroll, Raymond J.In parametric regression problems, estimation of the parameter of interest is typically achieved via the solution of a set of unbiased estimating equations. We are interested in problems where in addition to this parameter, ...

19970114BuchPolynomial Regression and Estimation Function in the Presence of Multiplication Measurement Error, with Application to Nutrition Iturria, Stephen J.; Carroll, Raymond J.; Firth, DavidIn this paper we consider the polynomial regression model in the presence of multiplicative measurement error in the predictor. Consistent parameter estimates and their associated standard errors are derived. Two general ...

19970602BuchThe Efficiency of BiasCorrected Estimators for Nonparametric Kernel Estimation Based on Local Estimating Equations Kauermann, Göran; Müller, Marlene; Carroll, Raymond J.Stuetzle and Mittal (1979) for ordinary nonparametric kernel regression and Kauermann and Tutz (1996) for nonparametric generalized linear model kernel regression constructed estimators with lower order bias than the usual ...

19960901BuchTransformations of Additivity in Measurement Error Models Eckert, R. Stephen; Carroll, Raymond J.; Wang, NaisyinIn many problems one wants to model the relationship between a response Y and a covariate X. Sometimes it is difficult, expensive, or even impossible to observe X directly, but one can instead observe a substitute variable ...