SUMMARY In incomplete two-way tables, analysis of variance can be used only to find adjusted means and sums of squares. It is proposed that, even in very incomplete tables, missing plot values can sometimes be fitted and the interaction sum of squares partitioned into principal components in the same way as with complete data. An example is given in detail in which this method of analysis gives a useful guide to the combination of results from many different trials.
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G. H. Freeman (1975) studied this question.