Premium
A Booststrap Adaptive Test for Two‐way Analysis of Variance
Author(s) -
Donegani M.
Publication year - 1992
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710340203
Subject(s) - computerized adaptive testing , statistic , variance (accounting) , test statistic , construct (python library) , mathematics , statistics , sample size determination , power analysis , sample (material) , computer science , statistical hypothesis testing , algorithm , accounting , chromatography , cryptography , business , programming language , psychometrics , chemistry
Abstract We propose a method to construct adaptive tests based on a bootstrap technique. The procedure leads to a nearly exact adaptive test depending on the size of the sample. With the use of the estimated Pitman's relative efficacy as selector statistic, we show that the adaptive test has a power that is asymptotically equal to the power of it's better component. We apply the idea to construct an adaptive test for two‐way analysis of variance model. Finally, we use simulations to observe the behaviour of the method for small sample sizes.