Bayesian Evaluation of inequality-constrained Hypotheses in SEM Models using Mplus.

Bayesian Evaluation of inequality-constrained Hypotheses in SEM Models using Mplus.
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DOI:
10.1080/10705511.2012.713267
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发表时间:
2012-10-01
期刊:
Structural equation modeling : a multidisciplinary journal
影响因子:
--
通讯作者:
Boelen PA
Boelen PA
中科院分区:
其他
文献类型:
--
作者:
van de Schoot R;Hoijtink H;Hallquist MN;Boelen PA

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行为科学和社会科学的研究人员经常有期望,这些期望可以以结构方程模型参数之间的不等式约束形式表达,从而产生信息假设。他们想知道的问题是“这个假设是正确的”还是“这个假设是错误的?”我们展示了一种贝叶斯方法来比较不等式约束假设及其在SEM框架中的补充。介绍了该方法,并通过实例说明了其实用性。进一步分析了先验分布规格的影响。最后,演示了如何使用Mplus实现所提出的方法。
Researchers in the behavioural and social sciences often have expectations that can be expressed in the form of inequality constraints among the parameters of a structural equation model resulting in an informative hypothesis. The question they would like an answer to is “Is the Hypothesis Correct” or “Is the hypothesis incorrect?”. We demonstrate a Bayesian approach to compare an inequality-constrained hypothesis with its complement in an SEM framework. The method is introduced and its utility is illustrated by means of an example. Furthermore, the influence of the specification of the prior distribution is examined. Finally, it is shown how the approach proposed can be implemented using Mplus.
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