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Biometrika 1971 58(1):161-167; doi:10.1093/biomet/58.1.161
© 1971 by Biometrika Trust
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Precision in block experiments

S. C. PEARCE

East Malling Research Station

A study has been made to facilitate the design of block experiments in circumstances where considerable balance can be introduced but not so much as to permit the adoption of a standard design. First, to provide a theoretical basis, the effect of merging treatments is considered. It is then shown that many standard designs owe their distinctive characteristics to features that can often be introduced in nonstandard cases. Finally, it is assumed that one treatment has been allocated provisionally to plots. Limits are found for the precision of estimation of its mean however the other treatments are allocated. Similar expressions are given for the case in which two treatments have been allocated and it is desired to estimate the difference between their means.

Key Words: Nonfactorial block experiments • Merged treatments • Proportionate treatments • Multipartite designs


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