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On Recovery of Intra-Block Information

Stephen Portnoy
Journal of the American Statistical Association
Vol. 68, No. 342 (Jun., 1973), pp. 384-391
DOI: 10.2307/2284080
Stable URL: http://www.jstor.org/stable/2284080
Page Count: 8
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On Recovery of Intra-Block Information
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Abstract

In experimental designs with randomized blocks, estimates of the inter-block variance often have few degrees of freedom since they depend only on the block averages (the inter-block information). These degrees of freedom are further reduced by the number of parameters appearing in the inter-block information. However, some parameters also appear in the intra-block information, and thus allow two independent estimators. The difference of these two estimators provides additional information about the inter-block variance. This paper shows how this extra information may be recovered to improve tests of hypotheses concerning inter-block parameters.

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