Optimal Randomization for Experiments in which Autocorrelation is Present
研究了实验单元呈线性或空间顺序时,如何通过系统方法分配处理来最小化处理均值线性对比的方差,发现最优随机化方案等价于系统抽样。
For a linear or spatial ordering of the experimental units, systematic methods of applying the treatments to the experimental units minimize the variance of linear contrasts of treatment means. In the linear ordering the optimal randomization scheme for the application of k treatments is to apply a treatment to every kth experimental unit, the equivalent of systematic sampling in the sampling literature. In the spatial ordering the optimal randomization schemes are equivalent to Quenouille's (1949) systematic aligned or unaligned spatial sampling schemes.