Abstract #301867

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JSM 2003 Abstract #301867
Activity Number: 424
Type: Contributed
Date/Time: Wednesday, August 6, 2003 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract - #301867
Title: Exact One-Sided Confidence Bounds Comparing Two Regression Lines
Author(s): Parul Bhargava*+ and John D. Spurrier
Companies: University of South Carolina and University of South Carolina
Address: 211 Main St., Columbia, SC, 29201-4254,
Keywords: multiple comparison ; simultaneous ; probability points
Abstract:

There have been several recent papers discussing multiple comparisons of treatments based on two-sided comparisons of simple linear regression models. We present one-sided simultaneous confidence bounds for comparing simple linear regression lines for two treatments with a simple linear regression line for the control. The assumptions of iid normal errors, unrestricted predictor variable and equal design matrices for the two treatments and the control have been made. The method is based on a pivotal quantity that can be expressed as a function of 4-dimensional multivariate-t variables. We present tables of probability points for various sample sizes and levels of significance.

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