Premium
Exact Power of Conditional Tests for Several Binomial Populations
Author(s) -
Tang ManLai
Publication year - 1999
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/(sici)1521-4036(199911)41:7<827::aid-bimj827>3.0.co;2-8
Subject(s) - contingency table , statistic , mathematics , statistics , binomial (polynomial) , binomial distribution , binomial coefficient , exponential family , ancillary statistic , sample size determination , statistical hypothesis testing , test statistic , discrete mathematics
An efficient recursive polynomial multiplication method is proposed for exact unconditional power calculation for unordered 2 × K contingency table with up to moderate sample size. Our method can be applied to the family of cell‐additive statistics which includes the Freeman‐Halton statistic, the Pearson χ 2 statistic and the likelihood ratio statistic. We illustrate our proposed method by several numerical examples.