Abstract #300195

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JSM 2003 Abstract #300195
Activity Number: 59
Type: Contributed
Date/Time: Sunday, August 3, 2003 : 4:00 PM to 5:50 PM
Sponsor: Biometrics Section
Abstract - #300195
Title: Goodness-of-Fit Tests for Current Status Data
Author(s): Denise Babineau*+
Companies: University of Waterloo
Address: Dept. of Stat. & Actuarial Science, Waterloo, ON, N2L 3G1, Canada
Keywords: current status data ; goodness-of-fit ; smooth tests
Abstract:

Goodness-of-fit tests are a common technique used to assess the adequacy of fit of a specified parametric model to a given set of data. Although many goodness-of-fit tests have been extended to handle lifetime censored data that is Type I- or Type II-censored, there is still a need to develop tests for interval-censored data. We begin the development of tests of this type using data that is of the most severe type of interval censoring called current status data. In particular, we will focus on smooth tests of the type introduced by Neyman (1937). The asymptotic distribution and asymptotic power of the test statistics are discussed and simulation results are given when the hypothesized parametric model is completely specified as well as when nuisance parameters are present. A comparison of this statistic to analogous Pearson chi-squared and likelihood ratio statistics are made. Extensions of the tests to interval censored data are also discussed.

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