Direct Standard Errors for Regressions with Spatially Autocorrelated Residuals

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Title: Direct Standard Errors for Regressions with Spatially Autocorrelated Residuals
Authors: Kelly, Morgan
Permanent link: http://hdl.handle.net/10197/11432
Date: Mar-2020
Online since: 2020-07-23T15:32:59Z
Abstract: Regressions using data with known locations are increasingly used in empirical economics, and several standard error corrections are available to deal with the fact that their residuals tend to be spatially correlated. Unfortunately, different corrections commonly return significance levels that vary by several orders of magnitude, leaving the researcher uncertain as to which, if any, is valid. This paper proposes instead an extremely fast and simple procedure to derive standard errors directly from the spatial correlation structure of regression residuals. Importantly, because the estimated covariance matrix gives optimal weights to predict each residual as a linear combination of all residuals, the reliability of these standard errors is self-checking by construction. The approach extends immediately to instrumental variables, and balanced and unbalanced panels, as well as a wide class of nonlinear models. A step by step guide to estimating these standard errors is given in the accompanying tutorials.
Type of material: Working Paper
Publisher: University College Dublin. School of Economics
Start page: 1
End page: 24
Series/Report no.: UCD Centre for Economic Research Working Paper Series; WP2020/06
Copyright (published version): 2020 the Author
Keywords: Spatial regressionsDirect standard errors
metadata.dc.subject.classification: C21; C23
Language: en
Status of Item: Not peer reviewed
Appears in Collections:Economics Working Papers & Policy Papers

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