Factor-Adjusted Robust Multiple Testing
Factor-adjusted robust multiple testing
FarmTest: Factor-Adjusted Robust Multiple Testing
Tuning-free Huber-type covariance estimation
Tuning-free Huber mean estimation
Tuning-free Huber regression
Plot function of FarmTest
Print function of FarmTest
Summary function of FarmTest
Performs robust multiple testing for means in the presence of known and unknown latent factors presented in Fan et al.(2019) "FarmTest: Factor-Adjusted Robust Multiple Testing With Approximate False Discovery Control" <doi:10.1080/01621459.2018.1527700>. Implements a series of adaptive Huber methods combined with fast data-drive tuning schemes proposed in Ke et al.(2019) "User-Friendly Covariance Estimation for Heavy-Tailed Distributions" <doi:10.1214/19-STS711> to estimate model parameters and construct test statistics that are robust against heavy-tailed and/or asymmetric error distributions. Extensions to two-sample simultaneous mean comparison problems are also included. As by-products, this package contains functions that compute adaptive Huber mean, covariance and regression estimators that are of independent interest.