Description
This is a package for calculating two differing notions of power, or deriving sample
sizes for specified requisite power in multiple testing experiments under a variety of methods for
control of the distribution of the False Discovery Proportion (FDP). More specifically, one can
choose to control the FDP distribution according to control of its (i) mean, e.g. the usual BH-FDR
procedure, or via the probability that it exceeds a given value, delta, via (ii) the Romano
procedure, or via (iii) my procedure based upon asymptotic approximation. Likewise, we can think of
the power in multiple testing experiments in terms of a summary of the distribution of the
True Positive Proportion (TPP). The package will compute power, sample size or any other missing
parameter required for power based upon (i) the mean of the TPP which is the average power
(ii) the probability that the TPP exceeds a given value, lambda, via my asymptotic approximation
procedure. The theoretical results are described in Izmirlian, G. (2020) Stat. and Prob. letters,
, and an applied paper describing the methodology with a
simulation study is in preparation.