Latent Growth Models for Count Outcomes: Specification, Evaluation, and Interpretation

IF 2.5 2区 心理学 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Structural Equation Modeling: A Multidisciplinary Journal Pub Date : 2023-05-26 DOI:10.1080/10705511.2023.2175684
Daniel Seddig
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Abstract

The latent growth model (LGM) is a popular tool in the social and behavioral sciences to study development processes of continuous and discrete outcome variables. A special case are frequency measurements of behaviors or events, such as doctor visits per month or crimes committed per year. Probability distributions for such outcomes include the Poisson or negative binomial distribution and their zero-inflated extensions to account for excess zero counts. This article demonstrates how to specify, evaluate, and interpret LGMs for count outcomes using the Mplus program in the structural equation modeling framework. The foundations of LGMs for count outcomes are discussed and illustrated using empirical count data on self-reported criminal offenses of adolescents (N = 1,664; age 15–18). Annotated syntax and output are presented for all model variants. A negative binomial LGM is shown to best fit the crime growth process, outperforming Poisson, zero-inflated, and hurdle LGMs.

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计数结果的潜在增长模型:规范、评估和解释
摘要潜在增长模型(latent growth model, LGM)是社会科学和行为科学中研究连续和离散结果变量发展过程的常用工具。一个特殊的例子是对行为或事件的频率测量,比如每月看医生的次数或每年犯罪的次数。这种结果的概率分布包括泊松分布或负二项分布以及它们的零膨胀扩展,以解释多余的零计数。本文演示了如何使用结构方程建模框架中的Mplus程序为计数结果指定、评估和解释lgm。本文讨论了LGMs计数结果的基础,并使用青少年自我报告的刑事犯罪的实证计数数据(N = 1,664;第15 - 18岁)。为所有模型变体提供了带注释的语法和输出。负二项LGM被证明最适合犯罪增长过程,优于泊松、零膨胀和障碍LGM。
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来源期刊
CiteScore
8.70
自引率
11.70%
发文量
71
审稿时长
>12 weeks
期刊介绍: Structural Equation Modeling: A Multidisciplinary Journal publishes refereed scholarly work from all academic disciplines interested in structural equation modeling. These disciplines include, but are not limited to, psychology, medicine, sociology, education, political science, economics, management, and business/marketing. Theoretical articles address new developments; applied articles deal with innovative structural equation modeling applications; the Teacher’s Corner provides instructional modules on aspects of structural equation modeling; book and software reviews examine new modeling information and techniques; and advertising alerts readers to new products. Comments on technical or substantive issues addressed in articles or reviews published in the journal are encouraged; comments are reviewed, and authors of the original works are invited to respond.
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