Optimal block designs comparing treatments with a control when the errors are correlated

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• 作者：J. Kunert ; R.J. Martin ; J. Eccleston
• 关键词：Efficient design ; Correlated errors ; Optimal design ; Supplemented balance
• 刊名：Journal of Statistical Planning and Inference
• 出版年：2010
• 出版时间：September 2010
• 年：2010
• 卷：140
• 期：9
• 页码：2719-2738
• 全文大小：716 K

文摘

The efficient design of experiments for comparing a control with v new treatments when the data are dependent is investigated. We concentrate on generalized least-squares estimation for a known covariance structure. We consider block sizes k equal to 3 or 4 and approximate designs. This method may lead to exact optimal designs for some v, b, k, but usually will only indicate the structure of an efficient design for any particular v, b, k, and yield an efficiency bound, usually unattainable. The bound and the structure can then be used to investigate efficient finite designs.