At this juncture when mixed models are heavily employed in applications ranging from clinical research to business analytics, the purpose of this article is to extend the exact distributional result of Wald (Ann. Math. Stat. 18: 586–589, 1947) to handle models involving a number of variance components.Due to the unavailability of exact distributional results for underlying statistics, currently available methods provide small group/sample inference only for balanced ANOVA models or simple regression models. The exact distributional results developed in this article should prove useful in making inferences by such methods as parametric bootstrap, fiducial, and generalized p-value approach, when there are a number of variance components to deal with.

中文翻译：

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在默认协方差结构下对混合模型进行推断的统计量的精确分布

在此时，当混合模型在从临床研究到业务分析的应用程序中大量使用时，本文的目的是扩展Wald的确切分布结果（Ann。Math。Stat。18：586–589，1947年）以进行处理由于无法获得基础统计的准确分布结果，因此当前可用的方法仅针对平衡方差分析模型或简单回归模型提供了较小的组/样本推断。当有许多方差成分要处理时，本文开发的精确分布结果应证明对通过参数自举，基准和广义p值方法进行推断很有用。