Abstract

In this paper, we consider the one-sided hypothesis testing problems for variance component functions in the unbalanced two-way random effects model. Firstly, using the Bootstrap approach and generalized approach, the test statistics and confidence intervals for the sum and ratio of variance components are constructed respectively. Next, the Monte Carlo simulation results indicate that the Bootstrap approach is better than the generalized approach in most cases. Finally, the above approaches are applied to the real data example of the efficiency of assembly lines workers in a manufacturing plant.

中文翻译：

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不平衡双向随机效应模型中方差分量函数的 Bootstrap 推断

摘要

在本文中，我们考虑了不平衡双向随机效应模型中方差分量函数的单边假设检验问题。首先，使用Bootstrap方法和广义方法，分别构建方差分量和和比值的检验统计量和置信区间。接下来，蒙特卡罗模拟结果表明，在大多数情况下，Bootstrap 方法优于广义方法。最后，将上述方法应用于制造工厂装配线工人效率的真实数据示例。