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等信息析因设计的混杂矩阵与广义定义关系AI 解读

Summary In many practical situations a fraction of the full replicate of a k 1 x k 2 x ... x kt factorial is used by an experimenter to estimate a subset of effects under the assumption that the rest of the effects are negligible. to get a deeper insight in what precisely is being estimated if the assumption of negligibility of the suppressed effects is not valid it is imperative that the experimenter has a complete knowledge of the aliasing structure. This paper shows how…

拟合不完整模型所致混杂的一种度量AI 解读

This paper proposes and develops a method for selecting a design to estimate a set of linear parametric functions in cases wherein the adequacy of the preliminary linear model is in doubt. The proposed method relies on the norm of the aliasing matrix. If the expected value of the estimator $\hat{\psi}$ of a set of linear functions $\psi = L_1\theta_1$ using a design $\Gamma$, under the true model is $E\lbrack\hat{\psi}\rbrack = \psi + A_\Gamma \theta_2$, then the norm $\|A_\Gamma\| =$…