21 June 2022
Peter Grünwald
#### E is the New P: Evidence and Optional Continuation Date: 21-06-2022 14:00-1500 Central European Summer time 
Speaker: **Peter Grünwald**, CWI **Abstract:**
How much evidence do the data give us about one hypothesis versus another? The standard way to measure evidence is still the p-value, despite a myriad of problems surrounding it. We present the E-value, a recently popularized notion of evidence which overcomes some of these issues. While E-values have lain dormant until 2019, their use has recenty exploded - we just had a one-week workshop (‘SAVI’ - safe anytime-valid inference) with attendees from netflix, booking (A/B testing), clinical trial design and meta-analysis. In simple cases, the E-value coincides with the Bayes factor, the notion of evidence preferred by Bayesians. But if the null is composite or nonparametric, or an alternative cannot be explicitly formulated, E-values and Bayes factors become distinct. Unlike the Bayes factor, E-values allow for tests with strict ' classical’ Type-I error control under optional continuation and combination of data from different sources. They are also the basic building blocks of anytime-valid confidence intervals that remain valid under optional stopping. Note: this meeting was performed in person and was not recorded. [1]: https://bereau.group/ [2]: /blog/ [9]: /contact/ [3]:https://github.com/undark-lab/swyft [4]:https://arxiv.org/abs/2011.13951 [5]:http://www.mathben.com/ [6]:https://pubs.acs.org/doi/10.1021/acs.jctc.0c00981 [7]:https://github.com/Ensing-Laboratory/FABULOUS [8]:www.evozyne.com
Speaker: **Peter Grünwald**, CWI **Abstract:** How much evidence do the data give us about one hypothesis versus another? The standard way to measure evidence is still the p-value, despite a myriad of problems surrounding it. We present the E-value, a recently popularized notion of evidence which overcomes some of these issues. While E-values have lain dormant until 2019, their use has recenty exploded - we just had a one-week workshop (‘SAVI’ - safe anytime-valid inference) with attendees from netflix, booking (A/B testing), clinical trial design and meta-analysis. In simple cases, the E-value coincides with the Bayes factor, the notion of evidence preferred by Bayesians. But if the null is composite or nonparametric, or an alternative cannot be explicitly formulated, E-values and Bayes factors become distinct. Unlike the Bayes factor, E-values allow for tests with strict ' classical’ Type-I error control under optional continuation and combination of data from different sources. They are also the basic building blocks of anytime-valid confidence intervals that remain valid under optional stopping. Note: this meeting was performed in person and was not recorded. [1]: https://bereau.group/ [2]: /blog/ [9]: /contact/ [3]:https://github.com/undark-lab/swyft [4]:https://arxiv.org/abs/2011.13951 [5]:http://www.mathben.com/ [6]:https://pubs.acs.org/doi/10.1021/acs.jctc.0c00981 [7]:https://github.com/Ensing-Laboratory/FABULOUS [8]:www.evozyne.com
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