This article develops new closed-form variance expressions for power analyses for commonly used panel model estimators. The main contribution is to incorporate variation in treatment timing into the analysis, but the variance formulas also account for other key design features that arise in practice: autocorrelated errors, unequal measurement intervals, and clustering due to the unit of treatment assignment. We consider power formulas for both cross-sectional and longitudinal models and allow for covariates to improve precision. An illustrative power analysis provides guidance on appropriate sample sizes for various model specifications. An available Shiny R dashboard performs the sample size calculations.

翻译：本条为常用的面板模型估计器开发了用于电源分析的新的封闭式变式表达式。主要贡献在于将处理时间的变化纳入分析,但差异公式也考虑到实践中出现的其他关键设计特征:与自动有关的错误、不平等的测量间隔和因处理单位分配而分组。我们考虑跨部门模型和纵向模型的功率公式,并允许共变式提高精确度。一个说明性能力分析为各种模型规格的适当样本大小提供了指导。可用的 Shiny R 仪表板进行抽样大小计算。