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误差相关时实验设计与分析的若干问题AI 解读

Generalized least squares estimation is considered for some designs on the torus when the errors are assumed to follow a known second-order stationary torus lattice process. Two general types of torus designs, regular and treatment-balanced, are presented. Ordinary least squares is shown to be optimal for regular designs, whilst certain treatment-balanced designs are shown to be optimum under a wide range of optimality criteria. The method of Papadakis is investigated, and…

误差相关时实验设计与分析的若干问题AI 解读

SUMMARY Generalized least squares estimation is considered for some designs on the torus when the errors are assumed to follow a known second-order stationary torus lattice process. Two general types of torus designs, regular and treatment-balanced, are presented. Ordinary least squares is shown to be optimal for regular designs, whilst certain treatment-balanced designs are shown to be optimum under a wide range of optimality criteria. The method of Papadakis is…

农业均匀性数据中空间模型拟合充分性的札记AI 解读

A model fitted by Patankar (1954) to Mercer & Hall's wheat data, and claimed to provide a satisfactory fit, is reexamined. It is shown that the method of fitting is unsatisfactory, and that even when fitted satisfactorily the model is not adequate. Some results on the efficiency of ordinary least squares are given in the Appendix.

农业均匀性数据空间模型拟合充分性的再检验AI 解读

A model fitted by Patankar (1954) to Mercer & Hall's wheat data, and claimed to provide a satisfactory fit, is reexamined. It is shown that the method of fitting is unsatisfactory, and that even when fitted satisfactorily the model is not adequate. Some results on the efficiency of ordinary least squares are given in the Appendix.