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Multiple Testing To Establish Superiority/Equivalence Of A New Treatment Compared With K Standard Treatments For Unbalanced Designs, Koon Shing Kwong, Siu Hung Cheung, Wai-Sum Chan
Multiple Testing To Establish Superiority/Equivalence Of A New Treatment Compared With K Standard Treatments For Unbalanced Designs, Koon Shing Kwong, Siu Hung Cheung, Wai-Sum Chan
Research Collection School Of Economics
In clinical studies, multiple superiority/equivalence testing procedures can be applied to classify a new treatment as superior, equivalent (same therapeutic effect), or inferior to each set of standard treatments. Previous stepwise approaches (Dunnett and Tamhane, 1997, Statistics in Medicine 16, 2489–2506; Kwong, 2001, Journal of Statistical Planning and Inference 97, 359–366) are only appropriate for balanced designs. Unfortunately, the construction of similar tests for unbalanced designs is far more complex, with two major difficulties: (i) the ordering of test statistics for superiority may not be the same as the ordering of test statistics for equivalence; and (ii) the correlation structure …