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具有调整正交性的行列设计中行间与列间信息的恢复AI 解读

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…

广义逆矩阵在多元方差分析中的应用AI 解读

Summary The concept of a generalized inverse matrix is used to derive the likelihood ratio statistic for testing a general estimable hypothesis in the multivariable linear model. The results, which are analogous to those in Searle (1965), are illustrated by considering the one-way model and the two-way model with one observation per cell.