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lgrgtest: Lagrange multiplier test after constrained maximum-likelihood estimation

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  • Harald Tauchmann

    (Friedrich-Alexander-Universität Erlangen-Nürnberg)

Abstract

Besides the Wald and likelihood-ratio tests, the Lagrange multiplier test (Rao, 1948, Mathematical Proceedings of the Cambridge Philosophical Society 44: 50–57; Aitchison and Silvey, 1958, Annals of Mathematical Statistics 29: 813–828; Silvey, 1959, Annals of Mathematical Statistics 30: 389–407) is the third canonical approach to testing hypotheses after maximum likelihood estimation. While the Stata commands test and lrtest implement the first two, Stata does not have an official command for implementing the third. The communitycontributed boottest package (Roodman et al., 2019, Stata Journal 19: 4–60) focuses on methods of bootstrap inference and also implements the Lagrange multiplier test functionality. In this article, I introduce the new communitycontributed postestimation command lgrgtest, which allows for straightforwardly using the Lagrange multiplier test after constrained maximum-likelihood estimation. lgrgtest is intended to be compatible with all Stata estimation commands that use maximum likelihood and allow for the options constraints(), iterate(), and from(). lgrgtest can also be used after cnsreg.

Suggested Citation

  • Harald Tauchmann, 2023. "lgrgtest: Lagrange multiplier test after constrained maximum-likelihood estimation," Stata Journal, StataCorp LP, vol. 23(2), pages 386-401, June.
    • Handle: RePEc:tsj:stataj:v:23:y:2023:i:2:p:386-401
    DOI: 10.1177/1536867X231175265
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