Sprenger, Jan (2012) Testing a precise null hypothesis: the case of Lindley's Paradox. In: UNSPECIFIED.

Preview

PDF LindleyPSA.pdf Download (306kB)

Abstract

The interpretation of tests of a point null hypothesis against an unspecified alternative is a classical and yet unresolved issue in statistical methodology. This paper approaches the problem from the perspective of Lindley's Paradox: the divergence of Bayesian and frequentist inference in hypothesis tests with large sample size. I contend that the standard approaches in both frameworks fail to resolve the paradox. As an alternative, I suggest the Bayesian Reference Criterion: (i) it targets the predictive performance of the null hypothesis in future experiments; (ii) it provides a proper decision-theoretic model for testing a point null hypothesis and (iii) it convincingly accounts for Lindley's Paradox.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Conference or Workshop Item (UNSPECIFIED)
Creators:	Creators Email ORCID Sprenger, Jan j.sprenger@uvt.nl
Keywords:	statistical inference, hypothesis testing, Lindley's paradox, reference Bayesianism, frequentism
Subjects:	General Issues > Confirmation/Induction Specific Sciences > Probability/Statistics
Depositing User:	Jan Sprenger
Date Deposited:	08 Nov 2012 02:07
Last Modified:	08 Nov 2012 02:07
Item ID:	9419
Subjects:	General Issues > Confirmation/Induction Specific Sciences > Probability/Statistics
Date:	2012
URI:	https://philsci-archive.pitt.edu/id/eprint/9419

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item