Rectangular lattice designs are shown to be generally balanced with respect to a particular decomposition of the treatment space. Efficiency factors are calculated, and the analysis, including recovery of interblock information, is outlined. The ideas are extended to rectangular lattice designs with an extra blocking factor.
"Rectangular Lattice Designs: Efficiency Factors and Analysis." Ann. Statist. 14 (3) 874 - 895, September, 1986. https://doi.org/10.1214/aos/1176350039