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Bias reduction for risk ratio and vaccine effect estimators
Author(s) -
Chick Stephen E.,
BarthJones Daniel C.,
Koopman James S.
Publication year - 2001
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.788
Subject(s) - estimator , statistics , bayesian probability , mean squared error , standard error , econometrics , mathematics , medicine
We examine the structural bias for established estimators of vaccine effects on susceptibility and for newer estimates of vaccine effects on infectiousness. We then propose and analyse new bias corrections for vaccine effect estimators of both susceptibility and infectiousness, as well as their combined effect on infection transmission. Each estimator is evaluated empirically with computer simulations. Of the estimators examined in this paper, those with the least bias and root mean squared error are computed by adding one to the positive count in the placebo population. We also identify a source of bias for a standard Bayesian estimator of risk ratios. Copyright © 2001 John Wiley & Sons, Ltd.