Approximate Local D-optimal Experimental Design for Binary Response

Approximate Local D-optimal Experimental Design for Binary Response
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二元响应的近似局部 D 最优实验设计

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发表时间:
2006
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通讯作者:
D. Steinberg
D. Steinberg
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作者:
D. Steinberg

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本文提出了一种快速、简便的方法,可为二值响应模型产生高效率的近似多元局部D-最优设计。该方法假设具有相同线性预测变量的平行正态响应线性问题的D-最优设计的可用性,并假设方差齐性;将标准设计转换为多变量logit或probit模型的有效设计所需的更改是移动概率非常低或非常高的任何设计点(因此是无信息的)到中等概率的最近可行点。
A fast and simple method is proposed that produces approximate multivariate local D-optimal designs of high e¢ ciency for models with binary response. The method assumes availability of a D-optimal design for a parallel normal response linear problem that has the same linear predictor, with an assumption of homogenous variance; the change required to transform the standard design into an e¢ cient one for a multivariate logit or probit model is to shift any design point whose probability is very low or very high (and is therefore non-informative) into the nearest feasible point of moderate probability.