Varying Coefficients Model with Measurement Error

Biometrics - Tập 64 Số 2 - Trang 519-526 - 2008
Liang Li1,2, Tom Greene1,2
1Department of Quantitative Health Sciences, Cleveland Clinic Foundation, 9500 Euclid Avenue, Wb4, Cleveland, Ohio 44195, U.S.A
2*Email: [email protected]

Tóm tắt

SummaryWe propose a semiparametric partially varying coefficient model to study the relationship between serum creatinine concentration and the glomerular filtration rate (GFR) among kidney donors and patients with chronic kidney disease. A regression model is used to relate serum creatinine to GFR and demographic factors in which coefficient of GFR is expressed as a function of age to allow its effect to be age dependent. GFR measurements obtained from the clearance of a radioactively labeled isotope are assumed to be a surrogate for the true GFR, with the relationship between measured and true GFR expressed using an additive error model. We use locally corrected score equations to estimate parameters and coefficient functions, and propose an expected generalized cross‐validation (EGCV) method to select the kernel bandwidth. The performance of the proposed methods, which avoid distributional assumptions on the true GFR and residuals, is investigated by simulation. Accounting for measurement error using the proposed model reduced apparent inconsistencies in the relationship between serum creatinine and GFR among different clinical data sets derived from kidney donor and chronic kidney disease source populations.

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Tài liệu tham khảo

Bowman A., 1997, Applied Smoothing Techniques for Data Analysis: The Kernel Approach with S‐PLUS Illustrations, 10.1093/oso/9780198523963.001.0001

10.1007/978-1-4899-4477-1

10.1080/01621459.1998.10474103

Fan J., 1996, Local Polynomial Modelling and Its Applications

10.3150/bj/1137421639

10.1214/aos/1017939139

Levey A., 1999, A more accurate method to estimate glomerular filtration rate from serum creatinine: A new prediction equation, 461

10.1214/aos/1017939140

10.1093/biostatistics/4.2.297

10.1093/biomet/77.1.127

Stevens L., 2006, Assessing kidney function—Measured and estimated glomerular filtration rate, New England Journal of Medicine, 354, 2473, 10.1056/NEJMra054415

10.1111/1467-9469.00144

10.1198/016214504000000845

10.1080/01621459.1998.10473800

Wu H., 2006, Nonparametric Regression Methods for Longitudinal Data Analysis: Mixed‐Effects Modeling Approaches

10.1016/j.jmva.2005.03.002

10.1198/016214503000000521

10.1006/jmva.2001.2012