Invoking the usual normality assumptions, find an expression for the probability that a negative estimate of a
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Invoking the usual normality assumptions, find an expression for the probability that a negative estimate of a variance component will be obtained by the analysis of variance method. Using this result, write a statement giving the probability that σ̂2τ < 0 in a one-factor analysis of variance. Comment on the usefulness of this probability statement.
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