A Geometric Intuition for the Logarithm

The logarithm is a key concept in mathematics and statistics. Most students will be introduced to the logarithm as the function that is the inverse of exponentiation, or the function that turns multiplication into addition. But without a good intuition of what the logarithm actually is, students can struggle to remember how to compute the logarithm of base r for…

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From P-values to Bayes Factors with eJAB

This post is a teaser for Velidi, P., Wei, Z., Kalaria, S. N., Liu, Y., Laumont, C. M., Nelson, B. H., & Nathoo, F. S. (2025). Generalized Jeffreys’s approximate objective Bayes factor: Model-selection consistency, finite-sample accuracy, and statistical evidence in 71,126 clinical trial findings. ArXiv preprint:2510.10358. Abstract “Concerns about the misuse and misinterpretation of p-values and statistical significance have motivated…

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Geometric Intuition for a Surprising Result

My colleague Raoul Grasman and I recently posted the preprint “A discrepancy measure based on expected posterior probability“. In this preprint, we show that the expected posterior probability for a true model Hf equals the expected posterior probability for a true alternative model Hg. It is not immediately obvious why this should be the case. In Appendix A of the…

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Aleatory Uncertainty and the River Rubicon

Mounted on a bridge across the river Rubicon, the bust of Julius Caesar eyes the Adriatic sea. Caesar’s nose is shiny, perhaps (but his is speculative, based on limited observations) because passersby feel tempted to touch it with their index finger. A high resolution version is available here (CC-BY). Photo taken by Eric-Jan Wagenmakers, August 4, 2024. In 49 BC,…

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Origin of the Texas Sharpshooter II: The Dubner Maggid

The picture of the Texas sharpshooter  is available in our artwork library (CC-BY). Artwork by Dirk-Jan Hoek, concept by Eric-Jan Wagenmakers. In a 2018 blog post I mentioned that it is unclear who first came up with analogy of the Texas sharpshooter: The infamous Texas sharpshooter fires randomly at a barn door and then paints the targets around the bullet…

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Clarkson’s Farm and the Clarkson Ring

The hit series “Clarkson’s Farm” has Jeremy Clarkson attempt farming, in a highly amusing mix between Mr. Bean, John Cleese in Clockwise, and Pat & Mat. After binge-watching the first three seasons, I was struck by one particular topic: the mass death of the piglets. Clarkson houses his sows in “pigloos” — dome-shaped pig farrowing pens. The first time the…

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Psychological Methods Lab Receives the 2024 Ammodo Science Award: The Video

TLDR; the video is here. This week the Psychological Methods Lab received an 800,000 euro Ammodo Science Award for groundbreaking research. This award was for our entire Psychological Methods group and allows us to develop our joint Open Science research agenda. The logistics was handled expertly by the Ammodo team, from start to finish. Part of the procedure was a…

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