Evidence for Alternative Hypotheses

Most researchers want evidence for the direction of an effect, not evidence against a point null hypothesis. Such evidence is ideally on a scale that is easily in- terpretable, with an accompanying standard error. Further, the evidence from iden- tical experiments should be repeatable, and evidence from independent experiments should be easily combined, such as required in meta-analysis. Such a measure of evidence exists and has been shown to be closely related to the Kullback-Leibler symmetrized distance between null and alternative hypotheses for exponential fam- ilies. Here we provide more examples of the latter phenomenon, for distributions ly- ing outside the class of exponential families, including the non-central chi-squared family with unknown non-centrality parameter.


Editeur(s):
Becker, C.
Fried, R.
Kuhnt, S.
Publié dans:
Robustness and Complex Data Structures: Festschrift for Ursula Gather, 315-329
Année
2013
Publisher:
Berlin, Springer
Laboratoires:




 Notice créée le 2013-08-09, modifiée le 2019-06-13

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