Spatial Correlation Robust Inference.

We propose a method for constructing confidence intervals that account for many forms of spatial correlation. The interval has the familiar "estimator plus and minus a standard error times a critical value" form, but we propose new methods for constructing the standard error and the critical value....

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Published in:Econometrica Vol. 90; no. 6; pp. 2901 - 2936
Main Authors: Müller, Ulrich K., Watson, Mark W.
Format: Article
Published: Wiley-Blackwell Nov2022
Subjects:
Online Access:View this record in EBSCOhost
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      dt: Nov2022
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      pub: Wiley-Blackwell
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        160352058
        10.3982/ECTA19465
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        atl: Spatial Correlation Robust Inference.
      aug:
        au:
          Müller, Ulrich K.
          Watson, Mark W.
        affil: Department of Economics, Princeton University
      su:
        Confidence intervals
        Sample size (Statistics)
        Units of time
        Parametric modeling
        Random fields
      sug:
        subj:
          Confidence intervals
          Sample size (Statistics)
          Units of time
          Parametric modeling
          Random fields
      keyword:
        Confidence interval
        HAC
        HAR
        random field
        Confidence interval
        HAC
        HAR
        random field
      ab: We propose a method for constructing confidence intervals that account for many forms of spatial correlation. The interval has the familiar "estimator plus and minus a standard error times a critical value" form, but we propose new methods for constructing the standard error and the critical value. The standard error is constructed using population principal components from a given "worst‐case" spatial correlation model. The critical value is chosen to ensure coverage in a benchmark parametric model for the spatial correlations. The method is shown to control coverage in finite sample Gaussian settings in a restricted but nonparametric class of models and in large samples whenever the spatial correlation is weak, that is, with average pairwise correlations that vanish as the sample size gets large. We also provide results on the efficiency of the method.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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