Abstract

Despite the widespread application of bifactor models, little research has considered required sample sizes for this type of model. As universal sample size recommendations are often misleading, we illustrate how to determine sample size requirements of bifactor models using Monte Carlo simulations in R. Furthermore, we present results of an extensive simulation study investigating the effects of the number of specific factors and indicators, loading magnitude, the relative general factor strength, and the validity of the proportionality condition on sample size requirements. Although a sample size of 500 was often sufficient to obtain acceptable convergence rates and parameter estimates, the exact sample size requirements depended on various model characteristics.

摘要

尽管双因子模型得到了广泛应用，但很少有研究考虑过此类模型所需的样本量。由于普遍的样本量建议通常具有误导性，因此我们说明了如何使用 R 中的蒙特卡罗模拟来确定双因子模型的样本量要求。此外，我们提供了一项广泛的模拟研究的结果，该研究调查了特定因子和指标数量的影响，加载量、相对一般因素强度以及比例条件对样本量要求的有效性。尽管 500 的样本量通常足以获得可接受的收敛速度和参数估计，但确切的样本量要求取决于各种模型特征。