February, 2003
© 2000, 2001, 2003 Scott S. Emerson, M.D., Ph.D.
Session 1- Fixed Sample Design: 61
Defining the Hypotheses
Decision Theoretic Framework: Testing one-sided equivalence (noninferiority)
(Assume large q corresponds to benefit)
A shifted one-sided test (q0- < q0+)
·Unacceptably inferior:    H0-: q £ q0- 
·Reference for futility:      H0+: q ³ q0+
Decisions:
·Reject H0+ ÜŞ T £  cL       (not worth continuing)
·Reject H0-  ÜŞ T ³ cL    (not unacceptably inferior)