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Exact properties of the conditional likelihood ratio test in an IV regression model

Record type: Monograph (Working Paper)

For a simplified structural equation/IV regression model with one right-side endogenous variable, we obtain the exact conditional distribution function for Moreira's (2003) conditional likelihood ratio (CLR) test. This is then used to obtain the critical value function needed to implement the CLR test, and reasonably comprehensive graphical versions of the function are provided for practical use. The analogous functions are also obtained for the case of testing more than one right-side endogenous coefficient, but only for an approximation to the true likelihood ratio test. We then go on to provide an exact analysis of the power functions of the CLR test, the Anderson-Rubin test, and the LM test suggested by Kleibergen (2002). The CLR test is shown to clearly conditionally dominate the other two tests for virtually all parameter configurations, but none of these test is either inadmissable or uniformly superior to the other two.

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Citation

Hillier, Grant (2007) Exact properties of the conditional likelihood ratio test in an IV regression model , London, UK Cemmap 48pp. (Cemmap Working Papers CWP23/06, (doi:10.1920/wp.cem.2006.2306) ).

More information

Submitted date: 1 October 2006
Published date: 1 May 2007

Identifiers

Local EPrints ID: 42735
URI: http://eprints.soton.ac.uk/id/eprint/42735
PURE UUID: 66723eaa-ac68-4493-ac6a-4c09d46ba5ce

Catalogue record

Date deposited: 25 Jan 2007
Last modified: 17 Jul 2017 15:21

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