JSM 2011 Online Program

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Abstract Details

Activity Number: 237
Type: Contributed
Date/Time: Monday, August 1, 2011 : 2:00 PM to 3:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #300830
Title: Novel Maximum Spacing for Point Estimates from a Semiparametric Ratio Estimator: With Application to Survival in Prostate Cancer
Author(s): Deborah Weissman-Miller*+
Companies: Brenau University
Address: 500 Washington Street, SE, Gainesville, GA, 30501,
Keywords: Spacing estimator ; semiparametric ratio estimator ; change point ; clinical trial ; prostate cancer

Prostate cancer is a condition of public health significance in the United States. A novel maximum spacing derivation is introduced to determine the maximum time intervals between point estimates for a new semiparametric ratio estimator to predict survival in response to treatment for prostate cancer. A maximum spacing estimation method is derived from a univariate distribution where spacing will be defined as gaps between ordered values of the distribution function. The spacing estimator uses the geometric mean of sample spacings from a uniform distribution U(a,b) with one known endpoint given as a change point derived from the highest or lowest F statistic from a linear regression for the semiparametric ratio estimator. The maximum is defined as a single value in the neighborhood of the change point and the spacing defined as a function of time. This maximum spacing then defines the ga

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