Some Remarks on Exact Confidence Intervals for Positive Linear Combinations of Variance Components
本文从不同视角审视了Burdick和Sielken(1978)为随机单因素模型中两个方差分量的正线性组合确定精确置信区间的技术,发现该技术在自由度和可处理的线性组合方面有时可改进,且适用于任何具有两个方差分量的混合模型及一些三个或更多方差分量的特例。
Abstract A technique given by Burdick and Sielken (1978) for determining an exact confidence interval for a positive linear combination of the two variance components in a random one-way model is examined from a different viewpoint. It is found that their technique can sometimes be improved on with respect to degrees of freedom and with respect to the particular linear combinations for which an exact confidence interval can be obtained. In addition, our development is applicable to any mixed model having two variance components and to some special cases involving three or more variance components.