Query Composite Hypotheses
Description
Provides functions for the joint analysis of Q sets of
p-values obtained for the same list of items. This joint analysis is
performed by querying a composite hypothesis, i.e. an arbitrary
complex combination of simple hypotheses, as described in Mary-Huard
et al. (2021) and De Walsche et
al.(2025) . In this approach, the Q-uplet
of p-values associated with each item is distributed as a multivariate
mixture, where each of the 2^Q components corresponds to a specific
combination of simple hypotheses. The dependence between the p-value
series is considered using a Gaussian copula function. A p-value for
the composite hypothesis test is derived from the posterior
probabilities.