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Notes on Estimation of the General Odds Ratio and the General Risk Difference for Paired‐Sample Data
Author(s) -
Lui KungJong
Publication year - 2002
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.200290007
Subject(s) - odds ratio , statistics , estimator , ordinal data , ordinal regression , confidence interval , odds , ordered logit , mathematics , econometrics , estimation , demography , medicine , logistic regression , engineering , sociology , systems engineering
Under the matched‐pair design, this paper discusses estimation of the general odds ratio OR G for ordinal exposure in case‐control studies and the general risk difference RD G for ordinal outcomes in cross‐sectional or cohort studies. To illustrate the practical usefulness of interval estimators of OR G and RD G developed here, this paper uses the data from a case‐control study investigating the effect of the number of beverages drunk at “burning hot” temperature on the risk of possessing esophageal cancer, and the data from a cross‐sectional study comparing the grade distributions of unaided distance vision between two eyes. Finally, this paper notes that using the commonly‐used statistics related to odds ratio for dichotomous data by collapsing the ordinal exposure into two categories: the exposure versus the non‐exposure, tends to be less efficient than using the statistics related to OR G proposed herein.