Research

Software

SetTest

SetTest is an R package for providing cumulative distribution function, 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.

References:

Hong Zhang, Jiashun Jin and Zheyang Wu (2020) Distributions and power of optimal signal-detection statistics in finite case, IEEE Transaction On Signal Processing, Vol. 68, 1021--1033.

Hong Zhang and Zheyang Wu (2022) The general goodness-of-fit tests for correlated data, Computational Statistics & Data Analysis, Vol. 167. 107379.

Qapprox

Qapprox is an R package for approximating the distribution of quadratic forms of Gaussian variables. It calculates the right-tail probability for the convenience of calculating the p-value in applying hypothesis testing. The methods include the skewness-kurtosis ratio matching method, a modified Liu-Tang-Zhang method, and the Satterthwaite-Welch method.

References:

Hong Zhang, Judong Shen and Zheyang Wu (2022) An efficient and accurate approximation to the distribution of quadratic forms of Gaussian variables, Journal of Computational & Graphical Statistics.

GFisher

GFisher is an R package for a generalized Fisher's p-value combination method.

References:

Hong Zhang and Zheyang Wu (2022) The generalized Fisher’s combination and accurate p-value calculation under dependence, Biometrics.

TFisher

TFisher is an R package for thresholding Fisher's p-value combination method.

References:

Hong Zhang, Tiejun Tong, John E. Landers and Zheyang Wu (2020) TFisher: A powerful truncation and weighting procedure for combining p-values, Annals of Applied Statistics, 14(1):178--201.

Xiaohui Chen, Hong Zhang, Ming Liu, Hong-Wen Deng, and Zheyang Wu (2022) Simultaneous detection of novel genes and SNPs by adaptive p-value combination, Frontiers in Genetics - Statistical Genetics and Methodology.

MarkerSearchPower

MarkerSearchPower is an R package for calculating the statistical power of detecting disease markers based on model selection strategies.

References:

Zheyang Wu and Hongyu Zhao (2009) Statistical Power of Model Selection Strategies for Genome-Wide Association Studies PLoS Genetics 5(7):e1000582.