Counterexamples to a result of broemeling on simultaneous inferences for variance ratios of some mixed linear models |
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| Authors: | Y L Tong |
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| Institution: | Department of Mathematics and Statistics , University of Nebraska , Lincoln, Nebraska, 68588 |
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| Abstract: | In a recent paper5 Broemeling (1978) extended his earlier work on one-sided confidence regions for the variance ratios of balanced random-effects models to the two-sided case. The extension depends on a probability Inequality which was claimed to be tru We show here that it is false, hence the proof of the main result given in Ms parer is in error W also show Lhat the ntatement of his result remains true in certain special cases. |
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| Keywords: | variance ratios and variance components probability inequalities multivariate F distributions mixed linear models |
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