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
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Outline of talk Drug Information Associationwww.diahome.org3
1. Group sequential monitoring of clinical trials Drug Information Associationwww.diahome.org4
A group sequential test (GST) Drug Information Associationwww.diahome.org5
2. The problem of delayed responses Drug Information Associationwww.diahome.org6
The problem of delayed responses Drug Information Associationwww.diahome.org7
Short term information on “pipeline” subjects Drug Information Associationwww.diahome.org8
3. Defining a group sequential test with delayed responses Drug Information Associationwww.diahome.org9
Boundaries for a Delayed Response GST Drug Information Associationwww.diahome.org10
Calculations for a Delayed Response GST Drug Information Associationwww.diahome.org11
The value of information from pipeline subjects Drug Information Associationwww.diahome.org12
The value of information from pipeline subjects Drug Information Associationwww.diahome.org13
4. Optimising a Delayed Response GST Drug Information Associationwww.diahome.org14
Computing optimal Delayed Response GSTs Drug Information Associationwww.diahome.org15
An optimal design for the cholesterol example Drug Information Associationwww.diahome.org16
An optimal design for the cholesterol example Drug Information Associationwww.diahome.org17
An optimal design for the cholesterol example Drug Information Associationwww.diahome.org18
An optimal design for the cholesterol example Drug Information Associationwww.diahome.org 19
Efficiency loss when there is a delay in response Drug Information Associationwww.diahome.org20
5. Using a short term endpoint to recover efficiency Drug Information Associationwww.diahome.org21
Using a short term endpoint to recover efficiency Drug Information Associationwww.diahome.org22
Using a short term endpoint to recover efficiency Drug Information Associationwww.diahome.org23
Using a short term endpoint to recover efficiency Drug Information Associationwww.diahome.org24
6. Error spending Delayed Response GSTs Drug Information Associationwww.diahome.org25
The ρ-family of error spending functions Drug Information Associationwww.diahome.org26
7. Further topics Drug Information Associationwww.diahome.org27
Further topics Drug Information Associationwww.diahome.org28
Further topics Drug Information Associationwww.diahome.org29
Further topics Drug Information Associationwww.diahome.org30