Two Rules of Identification for Structural Equation Models
Two Rules of Identification for Structural Equation Models
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DOI：
10.1080/10705510903008261
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发表时间：
2009-01-01
影响因子：
6
通讯作者：
Davis, Walter R.
中科院分区：
文献类型：
--
作者：
Bollen, Kenneth A.;Davis, Walter R.
结构方程模型的辨识一直是许多研究者面临的一个挑战。虽然在结构方程建模软件中可以很容易地获得识别的经验测试，但这些测试检查局部识别并依赖于参数的样本估计。识别规则是可用的，但不包括实践中遇到的所有模式。在本文中，我们提供了两个识别规则：2+发射路径规则和外生X规则。前者是识别的必要条件，后者是识别的充分条件。我们解释和证明这些规则，并提供其应用的插图。这些规则扩展了我们可以检查识别的结构方程模型的覆盖范围。我们还解释了它们如何成为分段识别策略的一部分，从而进一步扩展它们的使用。
Identification of structural equation models remains a challenge to many researchers. Although empirical tests of identification are readily available in structural equation modeling software, these examine local identification and rely on sample estimates of parameters. Rules of identification are available, but do not include all models encountered in practice. In this article we provide 2 rules of identification: the 2+ emitted paths rule and the exogenous X rule. The former is a necessary condition of identification and the latter is a sufficient condition. We explain and prove each of these rules and provide illustrations of their application. These rules extend the coverage of structural equation models that we can check for identification. We also explain how they can be part of a piecewise identification strategy that extends their use even further.