Abstract
Abstract In connection with extending the analysis of variance to r replicates of a lattice square design for use in high speed computer programming, a relatively simple computational and analytical procedure has been set forth. The sums of squares, the expectation of the resulting mean squares in the analysis of variance, estimators for intrablock, inter-row, and inter-column information, the adjusted treatment means recovering inter-row and inter-column information, and the average variance of a difference between pairs of adjusted treatment means have been presented for r ≥2 replicates of a lattice square design for which all effects are unconfounded with rows and columns in at least one replicate. The results are illustrated with a numerical example involving k 2 = 9 treatments in r = 3 replicates of a lattice square design.
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