Under a refined linear model, we establish some methods to construct Φ -optimal n -way classification designs for comparing p test treatments with a standard treatment from Φ -optimal m -way (m<n) classification designs for comparing the same contrasts. Some families of A -optimal and D -optimal designs, which are special cases of Φ -optimal designs, for n≤2 , are given.
Utilitas Mathematica. An International Journal of Discrete and Combinatorial Mathematics, and Statistical Design (Utilitas Math.) (19930101), 43, 141-154 AMS MathSciNet:MR1220692