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110 8 REML analysis of unbalanced designs3.990 -3.730 4.434 5.332replicates.rows.columns stratumvariety effects, e.s.e. 0.4499, rep. 6variety 1 2 3 4 5 6 7-1.742 0.857 -0.553 -0.144 0.777 0.653 -0.697variety 8 9 10 11 12 13 14-0.277 -1.736 -2.777 -1.482 0.130 1.471 -1.517variety 15 16 17 18 19 20 210.362 -1.418 0.263 1.176 2.037 1.573 0.343variety 22 23 24 251.726 -1.421 0.760 1.639In contrast, the REML analysis has produced a single set of estimates, and theseautomatically combine (with an appropriate weighting) all the separate estimates. In factthe REML estimates correspond to the combined effects and means in the ANOVA FurtherOutput menu. Below, we show these tables, together with the output generated bychecking the Stratum Variances box which contains the variance components. Thecombined means have a smaller standard error of difference than the standard means, butthe complicated structure of their estimation means that we can no longer assume thatdifferences between them follow t-distributions with a known number of degrees offreedom. (However, the effective numbers of degrees of freedom printed by ANOVA aregenerally reasonably reliable.)Tables of combined effectsVariate: yieldvariety effects, e.s.e. 0.4385, rep. 6, effective d.f. 79.99variety 1 2 3 4 5 6 7-1.869 0.786 -0.495 -0.186 0.628 0.570 -0.697variety 8 9 10 11 12 13 14-0.131 -1.716 -2.772 -1.432 0.133 1.486 -1.438variety 15 16 17 18 19 20 210.276 -1.243 0.277 1.217 1.991 1.695 0.230variety 22 23 24 251.739 -1.413 0.760 1.602Tables of combined meansVariate: yield