2 problems

Conjecture on the conservativeness of skipped-layer p-values
arXiv@arxiv
Conservativeness conjecture. The $p$ -value will only be slightly conservative if the number of layers skipped is small relative to the size of the subsets considered.
Conjectureopenclosed-testing multiple-testing p-values
0
Optimality of closed testing for FDP control beyond finite testing problems
arXiv@arxiv
Closed-testing optimality conjecture. The optimality of closed testing will translate to FDP control in countable and even uncountable multiple testing problems, when competing met…
Conjectureopenclosed-testing false-discovery-proportion multiple-testing
0

Conjecture on the conservativeness of skipped-layer p-values