Hierarchical correction of p-values via an ultrametric tree running Ornstein-Uhlenbeck process
| Autor: | Bichat, Antoine, Ambroise, Christophe, Mariadassou, Mahendra |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Comput Stat (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00180-021-01148-6 |
| Popis: | Statistical testing is classically used as an exploratory tool to search for association between a phenotype and many possible explanatory variables. This approach often leads to multiple testing under dependence. We assume a hierarchical structure between tests via an Ornstein-Uhlenbeck process on a tree. The process correlation structure is used for smoothing the p-values. We design a penalized estimation of the mean of the Ornstein-Uhlenbeck process for p-value computation. The performances of the algorithm are assessed via simulations. Its ability to discover new associations is demonstrated on a metagenomic dataset. The corresponding R package is available from https://github.com/abichat/zazou. Comment: 22 pages, 6 figures |
| Databáze: | arXiv |
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