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Partition testing in dose–response studies with multiple endpoints
Author(s) -
Liu Yi,
Hsu Jason,
Ruberg Stephen
Publication year - 2007
Publication title -
pharmaceutical statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 38
eISSN - 1539-1612
pISSN - 1539-1604
DOI - 10.1002/pst.295
Subject(s) - multiple comparisons problem , null hypothesis , partition (number theory) , mathematics , computer science , clinical endpoint , statistics , medicine , clinical trial , combinatorics
Dose–response studies with multiple endpoints can be formulated as closed testing or partition testing problems. When the endpoints are primary and secondary, whether the order in which the doses are to be tested is pre‐determined or sample determined lead to different partitioning of the parameter space corresponding to the null hypotheses to be tested. We use the case of two doses and two endpoints to illustrate how to apply the partitioning principle to construct multiple tests that control the appropriate error rate. Graphical representation can be useful in visualizing the decision process. Copyright © 2007 John Wiley & Sons, Ltd.