Abstract

SUMMARY The paper describes the analysis of variance of some experimental designs in which there may be several levels of splitting of plots, and in which the treatments at any level may be non-orthogonal to blocks. The construction of the designs, based on the Kronecker product method as used by Kurkjian & Zelen (1962), is discussed first. Then the method of analysis, based on the ideas developed by Nelder (1965a, b), is outlined. The paper shows that some potentially useful designs, not previously discussed in any detail, can be analysed quite simply using these ideas. The combination of information from several sources, and the derivation of unbiased estimates of error, are also mentioned.

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