Abstract

The social relations model is a statistical tool that allows the analysis of group dynamics as dyadic interactions between individuals. Within a multiple group structural equation modeling framework, Wald-tests and likelihood ratio tests based on (1) equality constraints among model parameters and (2) Lagrange multipliers for restrictions among non-linear parameter transformations are presented as methods for group-comparisons of various quantifications of group dynamics that hold different interpretations. The methods are illustrated with an empirical example. A simulation study investigates the performance of the methods with regard to Type I error-rate recoverability and statistical power and displays overall promising results. Implications and limitations are discussed.

摘要

社会关系模型是一种统计工具，可以将群体动态分析为个体之间的二元互动。在多组结构方程建模框架内，基于 (1) 模型参数之间的等式约束和 (2) 用于限制非线性参数变换之间的拉格朗日乘数的 Wald 检验和似然比检验被提出作为各种组比较的方法具有不同解释的群体动力学的量化。这些方法用一个经验例子来说明。一项模拟研究调查了这些方法在 I 类错误率可恢复性和统计能力方面的性能，并显示了总体有希望的结果。讨论了影响和限制。