It provides cumulative distribution function (CDF), quantile, pvalue, statistical power calculator and random number generator for a collection of grouptesting procedures, including the Higher Criticism tests, the onesided KolmogorovSmirnov tests, the onesided BerkJones tests, the onesided phidivergence tests, etc. The input are a group of pvalues. 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 goodnessoffit testing, which contrasts a group of i.i.d. random variables to a given continuous distribution, the input pvalues can be obtained by the CDF transformation. The null hypothesis means that these random variables follow the given distribution. For reference, see [1]Hong Zhang, Jiashun Jin and Zheyang Wu. "Distributions and power of optimal signaldetection statistics in finite case", IEEE Transactions on Signal Processing (2020) 68, 10211033; [2] Hong Zhang and Zheyang Wu. "The general goodnessoffit tests for correlated data", Computational Statistics & Data Analysis (2022) 167, 107379.
Package details 


Author  Hong Zhang and Zheyang Wu 
Maintainer  Hong Zhang <hzhang@wpi.edu> 
License  GPL2 
Version  0.3.0 
Package repository  View on CRAN 
Installation 
Install the latest version of this package by entering the following in R:

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