Thomas Lumley 2/26/2025

Ordinal data: taking transformation invariance seriously

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This technical article delves into the statistical treatment of ordinal data, emphasizing the principle of transformation invariance under monotone transformations. It discusses the implications for comparing distributions, the conditions for stochastic ordering, and contrasts traditional parametric tests (like the t-test) with rank-based methods suitable for ordinal scales.

Ordinal data: taking transformation invariance seriously

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