JSM 2004 - Toronto

Abstract #301452

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Activity Number: 50
Type: Contributed
Date/Time: Sunday, August 8, 2004 : 4:00 PM to 5:50 PM
Sponsor: ENAR
Abstract - #301452
Title: Practical Considerations for Constructing Confidence Intervals for Nonlinear Functions
Author(s): Paul E. Duty*+ and Nancy Flournoy
Companies: University of Missouri and University of Missouri
Address: 146 Middlebush, Columbia, MO, 65211,
Keywords: Delta method ; bootstrap ; geometry ; life expectancy ; logistic model ; quantal estimation
Abstract:

Confidence intervals for nonlinear functions often suffer from undercoverage. We compare the Delta method, the transformation method, the bootstrap method, and a strategy we call the "composition method" for some specific problems. Using the geometry of the problem, we present criteria for selecting and evaluating which method of constructing confidence intervals is better in a given situation.

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Revised March 2004