A portmanteau test for serial correlation in a linear panel model. (March 2020)

• Record Type: Journal Article
• Authors: Jochmans, Koen; Verardi, Vincenzo
• Is Part Of: Stata journal. Volume 20:Number 1(2020)
• Page Start: 149
• Page End: 161
• Publication Date: 2020-03
• Subjects: st0592 -- xtserialpm -- heteroskedasticity -- fixed-effects model -- portmanteau test -- serial correlation -- short panel data -- unbalanced panel; Statistics -- Periodicals; Statistics -- Computer programs -- Periodicals; 001.422
• DOI: 10.1177/1536867X20909695
• Languages: English
• ISSNs: 1536-867X

Abstract

We introduce the commandxtserialpm to perform the portmanteau test developed in Jochmans (2019, Cambridge Working Papers in Economics No. 1993, University of Cambridge, Faculty of Economics). The procedure tests for serial correlation of arbitrary form in the errors of a linear panel model after estimation of the regression coefficients by the within-group estimator. The test is designed for short panels and can deal with general missing-data patterns. The test is different from the related portmanteau test of Inoue and Solon (2006, Econometric Theory 22: 835–851), which is performed byxtistest (Wursten, 2018, Stata Journal 18: 76–100), in that it allows for heteroskedasticity. In simulations documented below, xtserialpm is found to provide a more powerful test thanxthrtest (Wursten 2018), which performs the test for first-order autocorrelation of Born and Breitung (2016, Econometric Reviews 35: 1290–1316). We also provide comparisons withxtistest andxtserial (Drukker, 2003, Stata Journal 3: 168–177). These tests perform well under stationarity but break down under even mild forms of heteroskedasticity.