Optimal crossover designs for the proportional model

Optimal Crossover Designs for the Proportional Model

In crossover design experiments, the proportional model, where the carryover effects are proportional to their direct treatment effects, has draw attentions in recent years. We discover that the universally optimal design under the traditional model is E-optimal design under the proportional model. Moreover, we establish equivalence theorems of Kiefer-Wolfowitz’s type for four popular optimalit...

Maximin Optimal Designs for the Compartmental Model

Optimal and Efficient Crossover Designs When Subject Effects Are Random

Most studies on optimal crossover designs are based on models that assume subject effects to be fixed effects. In this article we identify and study optimal and efficient designs for a model with random subject effects. With the number of periods not exceeding the number of treatments, we find that totally balanced designs are universally optimal for treatment effects in a large subclass of com...

Optimal designs for an interference model

Kunert and Martin (2000) determined optimal and efficient block designs in a model for field trials with interference effects, for block sizes up to 4. In this paper we use Kushner’s method (Kushner, 1997) of finding optimal approximate designs to extend the work of Kunert and Martin (2000) to optimal designs with five or more plots per block. We give an overall upper bound at,b,k for the trace...

Optimal crossover designs in a model with self and mixed carryover effects

We consider a variant of the usual model for crossover designs with carryover e ects. Instead of assuming that the carryover e ect of a treatment is the same regardless of the treatment in the next period, the model assumes that the carryover e ect of a treatment on itself is di erent from the carryover e ect on other treatments. For the traditional model optimal designs tend to have pairs of c...