
@article{ref1,
title="Estimating a multiplicative treatment effect under biased allocation",
journal="Biometrika",
year="1991",
author="Robbins, Herbert and Zhang, Cun-Hui",
volume="78",
number="2",
pages="349-354",
abstract="Suppose that, given θ, x is Poisson with mean θ, while, given θ, y is Poisson with mean αθ or βθ according as treatment 1 or treatment 2 is used. Moreover, suppose that treatment 1 is used if x < a, while treatment 2 is used if x≥ a. Under this biased allocation of treatments we give consistent estimators of the two treatment effects α and β. The method also applies when x is binomial and θ is the odds on success, and to other cases.<p />",
language="",
issn="0006-3444",
doi="10.1093/biomet/78.2.349",
url="http://dx.doi.org/10.1093/biomet/78.2.349"
}