Shopping for Efficient Confidence Intervals in Structural Equation Models

by Donna L. Mohr and Yong Xu.

Abstract: Most users of Structural Equation Models are aware that Wald-type standard errors for parameter estimates can vary remarkably depending on the arbitrary choice of how the scale is identified. A simple example shows that confidence intervals based on the likelihood ratio exhibit the same problem. A series of examples suggests that shopping for the scale identification that gives the best relative precision for a certain parameter has very little negative impact on coverage probabilities, and can yield substantially tighter confidence intervals.

Key Words: structural equation models, SEM, likelihood ratio, scale identification, confidence intervals

Donna L. Mohr,
Yong Xu,

Editor: Dayanand Naik,

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