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Optimal Invariant Tests in an Instrumental Variables Regression With Heteroskedastic and Autocorrelated Errors

Moreira, Marcelo and Sharifvaghefi, Mahrad and Ridder, Geert (2021) Optimal Invariant Tests in an Instrumental Variables Regression With Heteroskedastic and Autocorrelated Errors. (Submitted)

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Abstract

This paper uses model symmetries in the instrumental variable (IV) regression to derive an invariant test for the causal structural parameter. Contrary to popular belief, we show that there exist model symmetries when equation errors are heteroskedastic and autocorrelated (HAC). Our theory is consistent with existing results for the homoskedastic model (Andrews, Moreira, and Stock (2006) and Chamberlain (2007)). We use these symmetries to propose the conditional integrated likelihood (CIL) test for the causality parameter in the over-identified model. Theoretical and numerical findings show that the CIL test performs well compared to other tests in terms of power and implementation. We recommend that practitioners use the Anderson-Rubin (AR) test in the just-identified model, and the CIL test in the over-identified model


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Details

Item Type: Article
Status: Submitted
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Moreira, Marcelo
Sharifvaghefi, Mahradsharifvaghefi@pitt.edumas866
Ridder, Geert
Date: 29 April 2021
Schools and Programs: Dietrich School of Arts and Sciences > Economics
Refereed: No
Article Type: Research Article
Date Deposited: 12 May 2022 18:46
Last Modified: 12 May 2022 18:46
URI: http://d-scholarship.pitt.edu/id/eprint/42964

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