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Group Sequential Tests for Delayed Responses Christopher Jennison Department of Mathematical Sciences University of Bath Lisa Hampson Department of Mathematics.

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Presentation on theme: "Group Sequential Tests for Delayed Responses Christopher Jennison Department of Mathematical Sciences University of Bath Lisa Hampson Department of Mathematics."— Presentation transcript:

1 Group Sequential Tests for Delayed Responses Christopher Jennison Department of Mathematical Sciences University of Bath Lisa Hampson Department of Mathematics and Statistics University of Lancaster BfArM/DIA Statistics Workshop Bonn October 2012

2 The views and opinions expressed in the following PowerPoint slides are those of the individual presenter and should not be attributed to Drug Information Association, Inc. (“DIA”), its directors, officers, employees, volunteers, members, chapters, councils, Special Interest Area Communities or affiliates, or any organization with which the presenter is employed or affiliated. These PowerPoint slides are the intellectual property of the individual presenter and are protected under the copyright laws of the United States of America and other countries. Used by permission. All rights reserved. Drug Information Association, DIA and DIA logo are registered trademarks or trademarks of Drug Information Association Inc. All other trademarks are the property of their respective owners. Disclaimer 2www.diahome.orgDrug Information Association

3 Outline of talk Drug Information Associationwww.diahome.org3

4 1. Group sequential monitoring of clinical trials Drug Information Associationwww.diahome.org4

5 A group sequential test (GST) Drug Information Associationwww.diahome.org5

6 2. The problem of delayed responses Drug Information Associationwww.diahome.org6

7 The problem of delayed responses Drug Information Associationwww.diahome.org7

8 Short term information on “pipeline” subjects Drug Information Associationwww.diahome.org8

9 3. Defining a group sequential test with delayed responses Drug Information Associationwww.diahome.org9

10 Boundaries for a Delayed Response GST Drug Information Associationwww.diahome.org10

11 Calculations for a Delayed Response GST Drug Information Associationwww.diahome.org11

12 The value of information from pipeline subjects Drug Information Associationwww.diahome.org12

13 The value of information from pipeline subjects Drug Information Associationwww.diahome.org13

14 4. Optimising a Delayed Response GST Drug Information Associationwww.diahome.org14

15 Computing optimal Delayed Response GSTs Drug Information Associationwww.diahome.org15

16 An optimal design for the cholesterol example Drug Information Associationwww.diahome.org16

17 An optimal design for the cholesterol example Drug Information Associationwww.diahome.org17

18 An optimal design for the cholesterol example Drug Information Associationwww.diahome.org18

19 An optimal design for the cholesterol example Drug Information Associationwww.diahome.org 19

20 Efficiency loss when there is a delay in response Drug Information Associationwww.diahome.org20

21 5. Using a short term endpoint to recover efficiency Drug Information Associationwww.diahome.org21

22 Using a short term endpoint to recover efficiency Drug Information Associationwww.diahome.org22

23 Using a short term endpoint to recover efficiency Drug Information Associationwww.diahome.org23

24 Using a short term endpoint to recover efficiency Drug Information Associationwww.diahome.org24

25 6. Error spending Delayed Response GSTs Drug Information Associationwww.diahome.org25

26 The ρ-family of error spending functions Drug Information Associationwww.diahome.org26

27 7. Further topics Drug Information Associationwww.diahome.org27

28 Further topics Drug Information Associationwww.diahome.org28

29 Further topics Drug Information Associationwww.diahome.org29

30 Further topics Drug Information Associationwww.diahome.org30

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