ON REGRESSION ADJUSTMENTS IN EXPERIMENTS WITH SEVERAL TREATMENTS

被引:95
作者
Freedman, David A. [1 ]
机构
[1] Univ Calif Berkeley, Dept Stat, Berkeley, CA 94720 USA
关键词
Models; randomization; experiments; multiple regression; estimation; bias; balanced designs; intention-to-treat;
D O I
10.1214/07-AOAS143
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Regression adjustments are often made to experimental data. Since randomization does not justify the models, bias is likely; nor are the usual variance calculations to be trusted. Here, we evaluate regression adjustments using Neyman's nonparametric model. Previous results are generalized, and more intuitive proofs are given. A bias term is isolated. and conditions are given for unbiased estimation in finite samples.
引用
收藏
页码:176 / 196
页数:21
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