SetTest: Group Testing Procedures for Signal Detection and
Goodness-of-Fit
It provides cumulative distribution function (CDF),
quantile, p-value, statistical power calculator and random number generator
for a collection of group-testing procedures, including the Higher Criticism
tests, the one-sided Kolmogorov-Smirnov tests, the one-sided Berk-Jones tests,
the one-sided phi-divergence tests, etc. The input are a group of p-values.
The null hypothesis is that they are i.i.d. Uniform(0,1). In the context of
signal detection, the null hypothesis means no signals. In the context of the
goodness-of-fit testing, which contrasts a group of i.i.d. random variables to
a given continuous distribution, the input p-values can be obtained by the CDF
transformation. The null hypothesis means that these random variables follow the
given distribution. For reference, see Hong Zhang, Jiashun Jin and Zheyang Wu.
"Distributions and Statistical Power of Optimal Signal-Detection Methods In Finite Cases",
submitted.
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