The Interaction of Measurement and Structure in Simultaneous Equation Models with Unobservable Variables
The Interaction of Measurement and Structure in Simultaneous Equation Models with Unobservable Variables
复制标题
不可观测变量联立方程模型中测度与结构的相互作用
DOI：
10.1177/002224378702400109
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发表时间：
1987
影响因子：
6.1
通讯作者：
W. Dillon
中科院分区：
文献类型：
--
作者：
Ajith Kumar;W. Dillon
本文报道了对参数同时估计中相互作用的一些理论研究的结果。在一组不重叠的指标和没有抽样波动的完美指定模型的假设下，建立了一个总体一致性标准，表明尽管测量和结构可以相互独立地进行评估，但总的来说，它们不应该相互独立。所提出的一致性准则清楚地表明，Anderson和Gerping提出的内部和外部一致性准则是不充分的；即存在内部和外部一致性准则都可以满足的相关矩阵，但矩阵作为一个整体是不一致的。还讨论了测量和结构之间相互作用的含义。
The authors report the results of some theoretical investigations of interactions that occur in the simultaneous estimation of parameters. Under the assumptions of a perfectly specified model for a set of non-overlapping indicators and no sampling fluctuations, an overall consistency criterion is developed showing that though measurement and structure can be evaluated independently of each other, in general, they should not be. The proposed consistency criterion clearly shows that the internal and external consistency criteria prescribed by Anderson and Gerbing are not sufficient; that is, there are correlation matrices for which the criteria of internal and external consistency both can be satisfied, yet the matrix as a whole is inconsistent. Implications of the interaction between measurement and structure are also discussed.