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They also consider an empirical Bayes variation of their method, and point out that their results provide theoretical support for an empirical finding of Shaffer , which demonstrated similar error properties for her modification of the Duncan  approach to provide control of the FWER and the Benjamini and Hochberg  FDR-controlling procedure. Lewis and Thayer  point out that the empirical Bayes version of their assumptions can be alternatively regarded as a random-effects frequentist formulation.