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首页> 外文期刊>International Journal of Statistics and Applications >On the Behaviour of Second-Order N-Point Equiradial Designs under Varying Model Parameters
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On the Behaviour of Second-Order N-Point Equiradial Designs under Varying Model Parameters

机译：可变模型参数下二阶N点等半径设计的行为

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摘要

The behaviour of alternative second-order N-point equiradial designs are studied under variations of model parameters for design radius ρ = 1.0. Useful numerical evaluations associated with the designs and the models are presented with respect to A-, D-, E-, G- and T-optimality criteria. Relationships among the optimality criteria are outlined with regards to the designs and the models. Furthermore, D- efficiencies of the equiradial designs are evaluated. The N-point equiradial designs perform correspondingly better for reduced bivariate quadratic model than for the full bivariate quadratic model under A- and D- optimality criteria. The reverse holds for the full bivariate quadratic model under T-optimality criterion as the N-point equiradial designs perform correspondingly better for the full bivariate quadratic model than for the reduced bivariate quadratic model. There is no indication of design preference for the models under E- and G-optimality criteria. On the whole, designs optimal for one model need not be optimal for another model.
机译：在设计参数ρ= 1.0的模型参数变化下，研究了替代性二阶N点等半径设计的行为。针对A，D，E，G和T优化标准，介绍了与设计和模型相关的有用数值评估。关于设计和模型，概述了最佳标准之间的关系。此外，还评估了等径设计的D效率。在A和D最优准则下，简化的二元二次模型的N点等半径设计的性能要比完整的二元二次模型更好。在T最优性准则下，完整的二元二次模型的反面成立，因为完整的二元二次模型的N点等半径设计要比简化的二元二次模型的性能更好。没有迹象表明在E-和G-最优准则下该模型的设计偏好。总体而言，对于一个模型而言最优的设计不必对于另一种模型而言最优。

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