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What Properties Might Statistical Inferences Reasonably be Expected to Have?—Crisis and Resolution in Statistical Inference

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  • Geoffrey K. Robinson

Abstract

There is a crisis in the foundations of statistical inference. I believe that this crisis will eventually be resolved by regarding the subjective Bayesian paradigm as ideal in principle but often using standard procedures which are not subjective Bayesian for well-defined standard circumstances. As a step toward this resolution, this article looks at the question of what properties statistical inferences might reasonably be expected to have and argues that the use of p-values should be restricted to pure significance testing. The value judgments presented are supported by a range of examples.

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  • Geoffrey K. Robinson, 2019. "What Properties Might Statistical Inferences Reasonably be Expected to Have?—Crisis and Resolution in Statistical Inference," The American Statistician, Taylor & Francis Journals, vol. 73(3), pages 243-252, July.
    • Handle: RePEc:taf:amstat:v:73:y:2019:i:3:p:243-252
    DOI: 10.1080/00031305.2017.1415971
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    Cited by:

    1. Kenneth Rice & Tyler Bonnett & Chloe Krakauer, 2020. "Knowing the signs: a direct and generalizable motivation of two‐sided tests," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 183(2), pages 411-430, February.

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