TY - JOUR PY - 1991// TI - Estimating a multiplicative treatment effect under biased allocation JO - Biometrika A1 - Robbins, Herbert A1 - Zhang, Cun-Hui SP - 349 EP - 354 VL - 78 IS - 2 N2 - 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.
LA - SN - 0006-3444 UR - http://dx.doi.org/10.1093/biomet/78.2.349 ID - ref1 ER -