Dette, HolgerWong, Weng KeeZhu, Wei2004-12-062004-12-062004http://hdl.handle.net/2003/489810.17877/DE290R-15076We consider a class of optimality criteria and show that each criterion has its unique and equivalent dual within the class. This property can be used to find a variety of optimal designs, including a class of compound optimal designs and their relationships. As an example, we show that one type of D-optimal design provides analytical formula for a class of compound optimal designs, while its dual, the more traditional criterion, cannot.enUniversitätsbibliothek Dortmundcompound optimalityD-optimalitydesign efficiencyminimax optimality310report