Description Usage Arguments Value Author(s) References
Given some parameters of the descendant hypotheses and ancestor hypotheses, return the critical function using the generalized hierarchical FDR controlling procedure under arbitrary dependence (see Theorem 2 in Lynch et al. (2016)).
1 | ArbitraryDeptCF(isTested, mi, li, l, depth, gdi, alpha, rOffset)
|
isTested |
logical; if |
mi |
the cardinality of the set of descendant hypotheses of H_i. |
li |
the number of leaf hypotheses in the set of descendant hypotheses H_i. |
l |
the total number of leaf hypotheses. |
depth |
the cardinality of the set of ancestor hypotheses of H_i, referred to as the depth of H_i. |
gdi |
the cardinality of the union set of all hypotheses with all depth no deeper than the given depth. |
alpha |
the significant level used to calculate the critical values to make decisions. |
rOffset |
the offset increment for the number of rejections. |
A critical function of the index i and rejection number R.
Yalin Zhu
Lynch, G., Guo, W. (2016). On Procedures Controlling the FDR for Testing Hierarchically Ordered Hypotheses. arXiv preprint arXiv:1612.04467.
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