Problems with the Control Variable Approach in Achieving Unbiased Estimates in Nonlinear Models in the Presence of Many Instruments

Abstract We present a pseudo-panel model and argue that the control variable approach is subject to the many instrument problem, since it uses the predicted value of the endogenous variable. We show how the bias can be analytically characterized. Finally, we demonstrate the problems o...

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Main Authors: Hahn, Jinyong, Hausman, Jerry
Format: Article
Language:English
Published: Springer India 2022
Online Access:https://hdl.handle.net/1721.1/138790
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author Hahn, Jinyong
Hausman, Jerry
author_facet Hahn, Jinyong
Hausman, Jerry
author_sort Hahn, Jinyong
collection MIT
description Abstract We present a pseudo-panel model and argue that the control variable approach is subject to the many instrument problem, since it uses the predicted value of the endogenous variable. We show how the bias can be analytically characterized. Finally, we demonstrate the problems of split sample cross fitting.
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spelling mit-1721.1/1387902022-01-05T03:02:55Z Problems with the Control Variable Approach in Achieving Unbiased Estimates in Nonlinear Models in the Presence of Many Instruments Hahn, Jinyong Hausman, Jerry Abstract We present a pseudo-panel model and argue that the control variable approach is subject to the many instrument problem, since it uses the predicted value of the endogenous variable. We show how the bias can be analytically characterized. Finally, we demonstrate the problems of split sample cross fitting. 2022-01-04T13:42:02Z 2022-01-04T13:42:02Z 2021-12-15 2022-01-04T04:47:58Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/138790 Hahn, Jinyong and Hausman, Jerry. 2021. "Problems with the Control Variable Approach in Achieving Unbiased Estimates in Nonlinear Models in the Presence of Many Instruments." en https://doi.org/10.1007/s40953-021-00262-y Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ The Author(s), under exclusive licence to The Indian Econometric Society application/pdf Springer India Springer India
spellingShingle Hahn, Jinyong
Hausman, Jerry
Problems with the Control Variable Approach in Achieving Unbiased Estimates in Nonlinear Models in the Presence of Many Instruments
title Problems with the Control Variable Approach in Achieving Unbiased Estimates in Nonlinear Models in the Presence of Many Instruments
title_full Problems with the Control Variable Approach in Achieving Unbiased Estimates in Nonlinear Models in the Presence of Many Instruments
title_fullStr Problems with the Control Variable Approach in Achieving Unbiased Estimates in Nonlinear Models in the Presence of Many Instruments
title_full_unstemmed Problems with the Control Variable Approach in Achieving Unbiased Estimates in Nonlinear Models in the Presence of Many Instruments
title_short Problems with the Control Variable Approach in Achieving Unbiased Estimates in Nonlinear Models in the Presence of Many Instruments
title_sort problems with the control variable approach in achieving unbiased estimates in nonlinear models in the presence of many instruments
url https://hdl.handle.net/1721.1/138790
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AT hausmanjerry problemswiththecontrolvariableapproachinachievingunbiasedestimatesinnonlinearmodelsinthepresenceofmanyinstruments