JSM 2005 - Toronto

Abstract #302993

This is the preliminary program for the 2005 Joint Statistical Meetings in Minneapolis, Minnesota. Currently included in this program is the "technical" program, schedule of invited, topic contributed, regular contributed and poster sessions; Continuing Education courses (August 7-10, 2005); and Committee and Business Meetings. This on-line program will be updated frequently to reflect the most current revisions.

To View the Program:
You may choose to view all activities of the program or just parts of it at any one time. All activities are arranged by date and time.



The views expressed here are those of the individual authors
and not necessarily those of the ASA or its board, officers, or staff.

The Program has labeled the meeting rooms with "letters" preceding the name of the room, designating in which facility the room is located:

Minneapolis Convention Center = “MCC” Hilton Minneapolis Hotel = “H” Hyatt Regency Minneapolis = “HY”

Back to main JSM 2005 Program page
Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 67
Type: Contributed
Date/Time: Sunday, August 7, 2005 : 4:00 PM to 5:50 PM
Sponsor: Biopharmaceutical Section
Abstract - #302993
Title: Use of the Fieller-Hinkley Distribution of the Ratio of Random Variables in Testing for Noninferiority and Equivalence
Author(s): Kallappa Koti*+
Companies: U.S. Food and Drug Administration
Address: 1401 Rockville Pike, Rockville, MD, 20852, United States
Keywords: Bivariate normal integral ; bootstrap percentile interval ; rejection region ; two one-sided tests ; complete power
Abstract:

We address the noninferiority and equivalence testing problems defined in terms of the ratio of population means in a parallel group design analysis of variance setting. We think of the sample ratio as a point estimate of the corresponding population ratio. We show the Fieller-Hinkley (Hinkley 1969) distribution of the ratio of two correlated normally distributed random variables readily provides a technique for constructing confidence intervals comparable to the bootstrap percentile and Fieller's confidence intervals. We derive a finite parameter space based level-alpha test of a noninferiority hypothesis formulated in terms of a fixed margin. We illustrate our approach for testing noninferiority using the FVC data from Pigeot et al. (2003). Next, using the intersection-union procedure, we extend our noninferiority testing procedure to test the null hypothesis of non-equivalence. We claim it is easy to construct and straightforward to interpret our bootstrap equivalent confidence intervals used to assess equivalence. We discuss appropriate methods for calculation of sample sizes. We do not address any clinical, ethical, or regulatory issues.

  • The address information is for the authors that have a + after their name.
  • Authors who are presenting talks have a * after their name.

Back to the full JSM 2005 program

JSM 2005 For information, contact jsm@amstat.org or phone (888) 231-3473. If you have questions about the Continuing Education program, please contact the Education Department.
Revised March 2005