行-列设计中调整正交性的行与列信息恢复

Recovery of Row and Column Information in Row-Column Designs with Adjusted Orthogonality

Journal of the Royal Statistical Society. Series B: Statistical Methodology · 1986
被引 12
ABS 4

中文导读

研究了满足调整正交性的行-列设计,推导了信息矩阵、逆矩阵、处理效应估计和调整处理平方和与其组成设计的关系,并给出了一种相对简单的方法来获取恢复行间和列间信息所需的层方差估计。

Abstract

SUMMARY The analysis of row-column designs which satisfy the property of adjusted orthogonality is considered. For such designs a series of results are derived which relate the information matrix, its inverse, the estimator of the treatment effects and the adjusted treatment sum of squares to those of its component designs. It is also shown that estimators of the stratum variances required for the recovery of information from between rows and between columns can be obtained by a relatively simple method.

实验设计统计学行-列设计正交性