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On Choosing Between Fixed and Random Block Effects in Some No-interaction Models by Jitendra Ganju is a Mathematics article available to read on EtoBox.

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The purpose of this article is to strengthen the understanding of the relationship between a ÿxed-blocks and random-blocks analysis in models that do not include interactions between treatments and blocks. Treating the block e ects as random has been recommended in the literature for balanced incomplete block designs (BIBD) because it results in smaller variances of treatment contrasts. This reduction in variance is large if the block-to-block variation relative to the total variation is small. However, this analysis is also more complicated because it results in a subjective interpretation of results if the block variance component is non-positive. The probability of a non-positive variance component is large precisely in those situations where a random-blocks analysis is useful -that is, when the block-to-block variation, relative to the total variation, is small. In contrast, the analysis in which the block e ects are ÿxed is computationally simpler and less subjective. The loss in power for some BIBD with a ÿxed e ects analysis is trivial. In such cases, we recommend treating the block e ects as ÿxed. For response surface experiments designed in blocks, however, an opposite rec

Who reads On Choosing Between Fixed and Random Block Effects in Some No-interaction Models?

Author

Jitendra Ganju

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0378-3758)

Published

2000

Language

EN

Field

Mathematics (Physical Sciences)