TITLE:
A Note on Improving Inference of Relative Risk
AUTHORS:
Octavia C. Y. Wong
KEYWORDS:
Bartlett Correction, Confidence Intervals, Coverage Property, Relative Risk
JOURNAL NAME:
Open Journal of Statistics,
Vol.9 No.1,
February
19,
2019
ABSTRACT: Relative risk is a popular measure to compare risk of an outcome in the exposed
group to the unexposed group. By applying the delta method and Central Limit
Theorem, [1] derives two approximate confidence intervals for the relative risk, and [2] approximates the confidence interval for the relative risk via the
likelihood ratio statistic. Both of these approximations require sample size to
be large. In this paper, by adjusting the likelihood ratio statistic obtained
by [2], a new method is proposed to obtain the confidence interval for the
relative risk. Simulation results showed that the proposed method is extremely
accurate even when the sample size is small.