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Choice of Scores in Trend Tests for Case‐Control Studies of Candidate‐Gene Associations
Author(s) -
Zheng Gang,
Freidlin Boris,
Li Zhaohai,
Gastwirth Joseph L.
Publication year - 2003
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.200390016
Subject(s) - statistics , multiplicative function , sample size determination , mathematics , type i and type ii errors , additive model , biometrics , set (abstract data type) , statistical hypothesis testing , computer science , artificial intelligence , mathematical analysis , programming language
When applying the Cochran‐Armitage (CA) trend test for an association between a candidate allele and a disease in a case‐control study, a set of scores must be assigned to the genotypes. Sasieni (1997, Biometrics 53 , 1253–1261) suggested scores for the recessive, additive, and dominant models but did not examine their statistical properties. Using the criteria of minimizing the required sample size of the CA trend test to achieve prespecified type I and type II errors, we show that the scores given by Sasieni (1997) are optimal for the recessive and dominant models and locally optimal for the additive one. Moreover, the additive scores are shown to be locally optimal for the multiplicative model. The tests are applied to a real dataset.