Coefficients in D -Optimal Experimental Design
D 最优试验设计中的权重
Summary We give a new proof of an inequality on design measures due to Attwood; the proof given here allows the investigation of when equality is attained. The result obtained is that, in a D-optimal design for a problem satisfying mild regularity conditions, either the number of distinct levels equals the number k of parameters and each level receives weight 1/k, or the number of levels is greater and each receives weight strictly less than 1/k. A complementary result…