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Policy Analysis Using Multilevel Regression Models with Group Interactive Fixed Effects

Author

Listed:
  • Zhenhao Gong

    (Shanxi University of Finance and Economics)

  • Min Seong Kim

    (University of Connecticut)

Abstract

The use of multilevel regression models is prevalent in policy analysis to estimate the effect of group level policies on individual outcomes. In order to allow for the time varying effect of group heterogeneity and the group specific impact of time effects, we propose a group interactive fixed effects approach that employs interaction terms of group factor loadings and common factors in this model. For this approach, we consider the least squares estimator and associated inference procedure. We examine their properties under the large n and fixed T asymptotics. The number of groups, G; is allowed to grow but at a slower rate. We also propose a test for the level of grouping to specify group factor loadings, and a GMM approach to address policy endogeneity with respect to idiosyncratic errors. Finally, we provide empirical illustrations of the proposed approach using two empirical examples.

Suggested Citation

  • Zhenhao Gong & Min Seong Kim, 2024. "Policy Analysis Using Multilevel Regression Models with Group Interactive Fixed Effects," Working papers 2024-01, University of Connecticut, Department of Economics.
    • Handle: RePEc:uct:uconnp:2024-01
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    References listed on IDEAS

    as
    1. Hyungsik Roger Moon & Martin Weidner, 2015. "Linear Regression for Panel With Unknown Number of Factors as Interactive Fixed Effects," Econometrica, Econometric Society, vol. 83(4), pages 1543-1579, July.
    2. Jushan Bai, 2009. "Panel Data Models With Interactive Fixed Effects," Econometrica, Econometric Society, vol. 77(4), pages 1229-1279, July.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    endogeneity; GMM estimation; group heterogeneity; group level test; least squares estimation; panel; repeated cross-sections;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C54 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Quantitative Policy Modeling

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