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首页> 外文期刊>Psychometrika >A Note on the Usefulness of Constrained Fourth-Order Latent Differential Equation Models in the Case of Small T
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A Note on the Usefulness of Constrained Fourth-Order Latent Differential Equation Models in the Case of Small T

机译：关于在小T的情况下约束四阶潜微分方程模型的有用性的说明

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摘要

Constrained fourth-order latent differential equation (FOLDE) models have been proposed (e.g., Boker et al. 2020) as alternative to second-order latent differential equation (SOLDE) models to estimate second-order linear differential equation systems such as the damped linear oscillator model. When, however, only a relatively small number of measurement occasions T are available (i.e., T = 50), the recommendation of which model to use is not clear (Boker et al. 2020). Based on a data set, which consists of T = 56 observations of daily stress for N = 44 individuals, we illustrate that FOLDE can help to choose an embedding dimension, even in the case of a small T. This is of great importance, as parameter estimates depend on the embedding dimension as well as on the latent differential equations model. Consequently, the wavelength as quantity of potential substantive interest may vary considerably. We extend the modeling approaches used in past research by including multiple subjects, by accounting for individual differences in equilibrium, and by including multiple instead of one single observed indicator.
机译：已经提出了约束四阶潜微分方程（FOLDE）模型（例如，Boker et al.2020），作为二阶潜微分方程（SOLDE）模型的替代方案，以估计二阶线性微分方程系统，如阻尼线性振子模型。然而，当只有相对较少的测量场合T可用时（即T=50），使用哪种模型的建议并不明确（Boker et al.2020）。基于一个数据集，该数据集由N=44个个体的T=56个每日压力观测值组成，我们说明FOLDE可以帮助选择嵌入维度，即使是在小T的情况下。这非常重要，因为参数估计取决于嵌入维度以及潜微分方程模型。因此，作为潜在实质利益的数量，波长可能会有很大的变化。我们扩展了过去研究中使用的建模方法，包括多个受试者、平衡中的个体差异，以及包括多个而不是一个观察指标。

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