Optimum Balanced Block and Latin Square Designs for Correlated Observations

Optimal Cylindrical-block Designs for Correlated Observations

This paper addresses the problem of characterizations and constructions of optimal and efficient two-dimensional designs for generalized least squares estimation of treatment contrasts when the errors are correlated. Universally optimal designs are obtained when the plots of each block are on a cylinder and the errors follow the three parameter autonormal process on the cylinder. Efficiencies o...

A New Family of Partially Balanced Incomplete Block Designs with Some Latin Square Design Properties

Rank 3 Latin square designs

A Latin square design whose automorphism group is transitive of rank at most 3 on points must come from the multiplication table of an elementary abelian p-group,

Optimal Saturated Block Designs when Observations are Correlated

A-and MV-optimal block designs are identified in the class of minimally connected designs when the observations within blocks are spatially correlated. All connected designs are shown to be D-equal regardless of the correlation structure, and a sufficient condition for E-optimality is presented. Earlier results for the uncorrelated case are strengthened.

Splitting balanced incomplete block designs