This paper proposes an analysis methodology for the case where there is longitudinal data with destructive sampling of observational units, which come from experimental units that are measured at all times of the analysis. A mixed linear model is proposed and compared with regression models with fixed and mixed effects, among which is a similar that is used for data called pseudo-panel, and one of multivariate analysis of variance, which are common in statistics. To compare the models, the mean square error was used, demonstrating the advantage of the proposed methodology. In addition, an application was made to real-life data that refers to the scores in the Saber 11 tests applied to students in Colombia to see the advantage of using this methodology in practical scenarios.

翻译：本文针对存在观测单元破坏性抽样的纵向数据提出了一种分析方法，这些观测单元来源于在分析所有时间点均被测量的实验单元。研究提出了一个混合线性模型，并将其与固定效应和混合效应的回归模型进行比较，其中包括用于伪面板数据的类似模型以及统计学中常见的多元方差分析模型。为比较这些模型，采用均方误差作为评价指标，证明了所提方法的优势。此外，本研究还将该方法应用于反映哥伦比亚学生Saber 11测试成绩的实际数据，以验证该方法在实践场景中的优势。