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On the lower bound of confidence coefficients for a confidence interval on variance components. (English) Zbl 0715.62073
Summary: The among variance component in the one-factor components-of-variance model is of interest in many fields of application. This paper shows that the lower bound of the confidence coefficients for a widely used confidence interval on the variance component is 1-\(\alpha\) instead of the previously known result of 1-2\(\alpha\).

MSC:
62F25 Parametric tolerance and confidence regions
62J10 Analysis of variance and covariance (ANOVA)
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