Adaptive Designs for Sequential Treatment Allocation

This book presents a rigorous theoretical treatment of the results and mathematical foundation of adaptive design theory. The authors introduce the statistical models most commonly used in comparative experiments. They then illustrate biased coin and urn designs that only take into account past treatment allocations as well as designs that use past data, such as sequential maximum likelihood and doubly adaptive designs. The book also covers multipurpose adaptive experiments involving utilitarian choices and ethical issues and discusses covariate-adaptive methods.