潜在和误差非正态性对结构方程建模中拟合测度的影响。

IF 2.1 3区 心理学 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Educational and Psychological Measurement Pub Date : 2022-10-01 Epub Date: 2021-09-20 DOI:10.1177/00131644211046201
Lisa J Jobst, Max Auerswald, Morten Moshagen
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引用次数: 4

摘要

研究结构方程建模中非正态性影响的先前研究通常会导致指标变量的非正态。该程序忽略了数据的因子分析结构,该结构被定义为潜在变量和误差的总和,因此,如果考虑非正态性的来源,则不清楚以前的结果是否成立。我们对潜在的多元分布进行了蒙特卡罗模拟,以评估非正态性来源(多元正态或非正态边际分布的潜在、误差和边际条件)对不同拟合度量的影响(似然比模型检验统计量、近似均方根误差、标准均方根残差和比较拟合指数的经验拒绝率)。我们考虑了不同的估计方法(最大似然、广义最小二乘和(未)修改的无渐近分布)、样本量以及正确指定和错误指定模型中的非正态性程度,以研究它们的性能。结果表明,所有拟合测度都受到非正态性来源的影响,但对于所分析的估计方法来说,其模式各不相同。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The Effect of Latent and Error Non-Normality on Measures of Fit in Structural Equation Modeling.

Prior studies investigating the effects of non-normality in structural equation modeling typically induced non-normality in the indicator variables. This procedure neglects the factor analytic structure of the data, which is defined as the sum of latent variables and errors, so it is unclear whether previous results hold if the source of non-normality is considered. We conducted a Monte Carlo simulation manipulating the underlying multivariate distribution to assess the effect of the source of non-normality (latent, error, and marginal conditions with either multivariate normal or non-normal marginal distributions) on different measures of fit (empirical rejection rates for the likelihood-ratio model test statistic, the root mean square error of approximation, the standardized root mean square residual, and the comparative fit index). We considered different estimation methods (maximum likelihood, generalized least squares, and (un)modified asymptotically distribution-free), sample sizes, and the extent of non-normality in correctly specified and misspecified models to investigate their performance. The results show that all measures of fit were affected by the source of non-normality but with varying patterns for the analyzed estimation methods.

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来源期刊
Educational and Psychological Measurement
Educational and Psychological Measurement 医学-数学跨学科应用
CiteScore
5.50
自引率
7.40%
发文量
49
审稿时长
6-12 weeks
期刊介绍: Educational and Psychological Measurement (EPM) publishes referred scholarly work from all academic disciplines interested in the study of measurement theory, problems, and issues. Theoretical articles address new developments and techniques, and applied articles deal with innovation applications.
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