Accurate Directional Inference for Vector Parameters in Linear Exponential Families

We consider inference on a vector-valued parameter of interest in a linear exponential family, in the presence of a finite-dimensional nuisance parameter. Based on higher-order asymptotic theory for likelihood, we propose a directional test whose p-value is computed using one-dimensional integration. The work simplifies and develops earlier research on directional tests for continuous models and on higher-order inference for discrete models, and the examples include contingency tables and logistic regression. Examples and simulations illustrate the high accuracy of the method, which we compare with the usual likelihood ratio test and with an adjusted version due to Skovgaard. In high-dimensional settings, such as covariance selection, the approach works essentially perfectly, whereas its competitors can fail catastrophically.


Published in:
Journal Of The American Statistical Association, 109, 505, 302-314
Year:
2014
Publisher:
Alexandria, American Statistical Association
ISSN:
0162-1459
Keywords:
Laboratories:




 Record created 2014-05-02, last modified 2018-09-13


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