Nonparametric regression and measurement error /
two settings. The first involves nonparametric regression
| Main Author: | |
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| Format: | Thesis Book |
| Language: | English |
| Published: |
[Place of publication not identified] :
[publisher not identified] ;
1997.
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| Subjects: | |
| Online Access: | http://proxy.library.tamu.edu/login?url=http://proquest.umi.com/pqdweb?did=736584571&sid=1&Fmt=2&clientId=2945&RQT=309&VName=PQD |
| Summary: | two settings. The first involves nonparametric regression using regression splines in the presence of measurement error. Two different methods for estimating the regression spline are used. The first method is the SIMEX algorithm which artificially adds measurement error in increments of the known or estimated measurement error, and then extrapolates to the case of no measurement error. The second method is a structural approach, whereby one assumes a distribution for the independent variable which depends on estimable parameters. The parameters were estimated using Gibbs sampling. Furthermore, these regression splines were extended to the class of Generalized Linear Models. The second setting involves an application in nutritional epidemiology in which one wants to estimate the long term dietary intake of a specific nutrient for a population. There are two primary instruments for measuring this data. The first instrument is a Food Frequency Questionnaire, which is assumed to measure the dietary intake both with error and with bias. The second instrument is a Food Recall which gives unbiased measurements of the dietary intake, but these measurements are still measured with error. The goal of Calibration Analysis is to use both instruments to identify and possibly correct for the bias of the questionnaire. The calibration analysis is extended to the case where the selection probabilities of the individuals in the study are not all equal. |
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| Item Description: | Vita. "Major Subject: Statistics". |
| Physical Description: | xii, 199 leaves : illustrations ; 28 cm. Issued also on microfiche from University Microfilms Inc. |
| Bibliography: | Includes bibliographical references: pages 71-73. |