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On a theorem of graybill
Authors:Mohamed Y. El Bassiouni
Affiliation:Institute Of Statistical Studies Research Cairo University , Cairo, Egypt
Abstract:Graybill (1976) gives a theorem for testing variance components in balanced random models. Unfortunately, the theorem does not hold true. We pin down the reason that causes the theorem to fail and give a correct version of it.
Keywords:balanced random models  F tests  likelihood ratio tests  restricted likelihood  variance components
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