A Comparison of Algorithms for Combination of Information in Generally Balanced Designs

Methods are discussed for producing combined estimates of treatments whose effects can be estimated in more than one stratum of a generally balanced design. The algorithms of Nelder (1968), Wilkinson (1970) and Payne & Wilkinson (1977) provide a method that is specific to generally balanced designs. This method is compared with others that do not assume general balance, namely maximum likelihood and residual maximum likelihood (REML), and its computing requirements are compared with the REML implementation of Robinson, Thompson & Digby (1982).