Polynomial regression and estimating functions in the presence of multiplicative measurement error Academic Article

abstract

• Summary We consider the polynomial regression model in the presence of multiplicative measurement error in the predictor. Two general methods are considered, with the methods differing in their assumptions about the distributions of the predictor and the measurement errors. Consistent parameter estimates and asymptotic standard errors are derived by using estimating equation theory. Diagnostics are presented for distinguishing additive and multiplicative measurement error. Data from a nutrition study are analysed by using the methods. The results from a simulation study are presented and the performances of the methods are compared.

authors

• Carroll, Raymond

published proceedings

• JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY

author list (cited authors)

• Iturria, S. J., Carroll, R. J., & Firth, D.

citation count

• 25

complete list of authors

• Iturria, SJ||Carroll, RJ||Firth, D

publication date

• September 1999

publisher

• Oxford University Press (OUP)  Publisher

keywords

• Bootstrap
• Errors In Variables
• Estimating Equations
• Measurement Error
• Non-linear Regression
• Nutrition

Digital Object Identifier (DOI)

• 10.1111/1467-9868.00192

start page

• 547

end page

• 561

volume

• 61

issue

• 3

URL

• http%3A%2F%2Fdx.doi.org%2F10.1111%2F1467-9868.00192