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| | svmiller.com
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| | This is a companion blog post to how I typically teach students about statistical inference from a social (political) science perspective.
| | www.robertkubinec.com
10.9 parsecs away

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| | Ordered beta regression can give you comparable, scale-free ATEs that can still be understood in the scale of the original data-all without using logs.
| | fharrell.com
13.3 parsecs away

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| | In this article I provide much more extensive simulations showing the near perfect agreement between the odds ratio (OR) from a proportional odds (PO) model, and the Wilcoxon two-sample test statistic. The agreement is studied by degree of violation of the PO assumption and by the sample size. A refinement in the conversion formula between the OR and the Wilcoxon statistic scaled to 0-1 (corcordance probability) is provided.
| | jmanton.wordpress.com
98.1 parsecs away

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| If $latex Y$ is a $latex \sigma(X)$-measurable random variable then there exists a Borel-measurable function $latex f \colon \mathbb{R} \rightarrow \mathbb{R}$ such that $latex Y = f(X)$. The standard proof of this fact leaves several questions unanswered. This note explains what goes wrong when attempting a "direct" proof. It also explains how the standard proof...