The Potthoff–Whittinghill test is the locally most powerful test for the alternative of overdispersion, but its ability to detect the presence of clusters depends on the size, the number and the locations of the clusters (Alexander and Boyle, 1996).
We here record the numbers of cases and controls as supplementary information to aid an appreciation of the information in the data, but emphasising that these are not regarded as the best way to conduct statistical inference, not least because a test of numbers in one distance band against another is not most powerful against any sensible alternative hypothesis.
It has been suggested that the alternative hypothesis might be defined as 'uniformly most powerful Bayesian tests' where the alternative hypothesis is defined as an average value of any hypothetical intervention effect resulting in a Bayes factor below a given threshold [ 2, 79].
The most powerful constitutional power was imperium.
This is the church at its most powerful, faithfully representing a genuine alternative to the culture at large.
Of all the announcements made at the Facebook Marketing Conference on Wednesday, Reach Generator is the most innovative because it provides a powerful alternative to CPC and CPM for the world's richest brands, and a way for Facebook make more efficient use of its inventory.
Hamilton E. James, the president and chief operating officer of the Blackstone Group, is one of the most powerful figures on Wall Street, overseeing an alternative investment empire from offices on Park Avenue on Manhattan.
The most powerful critique, in my opinion, emerges from an alternative estimate of public transfer accounts in the United States published by the economists Antoine Bommier, Ronald Lee, Timothy Miller and Stéphane Zuber that explicitly takes the benefits of public education into account.
The visualization of the context, structure of the problem and its alternative solutions is one for the most powerful components of a decision support system (Gomes and Lins 2002).
As an alternative, RNA sequencing is obviously the most powerful profiling technology in terms of both specificity and sensibility, but its cost is still high (compared to RT-qPCR or microarray) and the data generated require substantial computational processing.
