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Activity Number: 533
Type: Topic Contributed
Date/Time: Thursday, August 2, 2007 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #309166
Title: Estimating the Distribution Function with Measurement Error in a Complicated Survey
Author(s): Liang Li*+ and Tom Greene
Companies: The Cleveland Clinic and The Cleveland Clinic
Address: 9500 Euclid Ave Wb4, Cleveland, OH, 44195,
Keywords: chronic renal disease ; density estimation ; iSIMEX ; measurement error ; NHANES ; SIMEX
Abstract:

The simulation extrapolation (SIMEX) method can be used to estimate the cumulative density function of a random variable that is unobservable and measured with additive error (Stefanski and Bay, 1996). Motivated by a study using the NHANES survey, we extend the SIMEX methodology by adding iterative bootstrap bias reduction steps. This iterative SIMEX (iSIMEX) method is shown to have less bias and mean square error than the SIMEX in our problem, and the resulting cumulative density function is monotone and constrained between 0 and 1. We apply the proposed methodology to estimating the population prevalence of people with various levels of chronic renal disease, and population distribution of kidney function in the US.


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Revised September, 2007