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Testing constancy in varying coefficient models

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  • Delgado, Miguel A.
  • Arteaga-Molina, Luis A.

Abstract

This article proposes a coefficients constancy test in semi-varying coefficient models that only needs to estimate the restricted coefficients under the null hypothesis. The test statistic resembles the union-intersection test after ordering the data according to the varying coefficients’ explanatory variable. This statistic depends on a trimming parameter that can be chosen by a data-driven calibration method we propose. A bootstrap test is justified under fairly general regularity conditions. Under more restrictive assumptions, the critical values can be tabulated, and trimming is unnecessary. The finite sample performance is studied by means of Monte Carlo experiments, and a real data application for modeling education returns.

Suggested Citation

  • Delgado, Miguel A. & Arteaga-Molina, Luis A., 2021. "Testing constancy in varying coefficient models," Journal of Econometrics, Elsevier, vol. 222(1), pages 625-644.
    • Handle: RePEc:eee:econom:v:222:y:2021:i:1:p:625-644
    DOI: 10.1016/j.jeconom.2020.07.041
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    More about this item

    Keywords

    Varying coefficient models; Model checks; Union-intersection tests; Concomitants; Partial effects model checks; Wild bootstrap; Trimming data-driven calibration;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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