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## Simultaneous Directional InferenceAdd to your list(s) Download to your calendar using vCal - Ruth Heller (Tel-Aviv University)
- Friday 02 June 2023, 14:00-15:00
- MR11/B1.39, Centre for Mathematical Sciences.
If you have a question about this talk, please contact Qingyuan Zhao. Room changed Joint work with Aldo Solari We consider the problem of inference on the signs of n>1 parameters. Within a simultaneous inference framework, we aim to: identify as many of the signs of the individual parameters as possible; provide confidence bounds on the number of positive (or negative) parameters on subsets of interest. Our suggestion is as follows: start by using the data to select the direction of the hypothesis test for each parameter; then, adjust the one-sided p-values for the selection, and use them for simultaneous inference on the selected n one-sided hypotheses. The adjustment is straightforward assuming that the one-sided p-values are conditionally valid and mutually independent. Such assumptions are commonly satisfied in a meta-analysis, and we can apply our approach following a test of the global null hypothesis that all parameters are zero, or of the hypothesis of no qualitative interaction. We consider the use of two multiple testing principles: closed testing and partitioning. The novel procedure based on partitioning is more powerful, but slightly less informative: it only infers on positive and non-positive signs. The procedure takes at most a polynomial time, and we show its usefulness on a subgroup analysis of a medical intervention, and on a meta-analysis of an educational intervention. The relevant paper is arXiv:2301.01653 This talk is part of the Statistics series. ## This talk is included in these lists:- All CMS events
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