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A Simple Alternative To The Standard Statistical Model For The Analysis Of Field Experiments With Latin Square Designs, C. Philip Cox, Jeff B. Meeker

Conference on Applied Statistics in Agriculture

Latin Square (LS) designs have long been advocated for field crop experiments on the grounds that '. . . soil fertility and other variations in two directions are controlled.' As counter-evidence, the published standard analyses of eight LS experiments showed that in only two did the sum of squares for both between-rows and between-columns account for appreciable background variability.

Regarding the background concomitant variability as a continuous surface to which treatment effects are additive, it is suggested that a contributory shortcoming of the standard model is that it admits only a restricted class of surfaces because parameters for warp, or …