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A New Exact and More Powerful Unconditional Test of No Treatment Effect from Binary Matched Pairs
Author(s) -
Lloyd Chris J.
Publication year - 2008
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.1541-0420.2007.00936.x
Subject(s) - mcnemar's test , mathematics , binary number , nuisance parameter , statistics , residual , maximization , value (mathematics) , statistic , test statistic , statistical hypothesis testing , p value , algorithm , mathematical optimization , arithmetic , estimator
Summary We consider the problem of testing for a difference in the probability of success from matched binary pairs. Starting with three standard inexact tests, the nuisance parameter is first estimated and then the residual dependence is eliminated by maximization, producing what I call an E+M P‐value. The E+M P‐value based on McNemar's statistic is shown numerically to dominate previous suggestions, including partially maximized P‐values as described in Berger and Sidik (2003, Statistical Methods in Medical Research 12, 91–108). The latter method, however, may have computational advantages for large samples.