圆域上的二元二次多项式回归模型的D-最优设计
D-Optimal Design for Duality Quadratic Polynomial Regression Models in Circle Region
摘要:
对圆域上的二元二次多项式回归模型在遵循设计点“对称 + 均匀”的前提下，给出并证明其特定的内接正方形的顶点和圆心组成的饱和设计是D-最优设计，并给出了相应设计的最小二乘估计，是把最优设计理论应用到多元多项式回归模型的又一有益的尝试。
Abstract:
For duality quadratic polynomial regression models in circle region, D-op designs were given and proved according to the criterion “Symmetry + Uniform” with four vertexes of special square and central angle in Circle, and the least squares estimates were given, It is a very useful attempt to apply optimal design theory to polynomial regression models.
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