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arXiv · 2211.00329

Weak Identification in Low-Dimensional Factor Models with One or Two Factors

Gregory Cox
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Abstract

This paper describes how to reparameterize low-dimensional factor models with one or two factors to fit weak identification theory developed for generalized method of moments models. Some identification-robust tests, here called "plug-in" tests, require a reparameterization to distinguish weakly identified parameters from strongly identified parameters. The reparameterizations in this paper make plug-in tests available for subvector hypotheses in low-dimensional factor models with one or two factors. Simulations show that the plug-in tests are less conservative than identification-robust tests that use the original parameterization. An empirical application to a factor model of parental investments in children is included.

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Gregory Cox. 2024-03-07. Weak Identification in Low-Dimensional Factor Models with One or Two Factors. https://arxiv.org/abs/2211.00329

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