TY - RPRT AU - Baltagi, Badi H. AU - Pirotte, Alain AU - Yang, Zhenlin TI - Diagnostic Tests for Homoskedasticity in Spatial Cross-Sectional or Panel Models PY - 2020/Oct/ PB - Institute of Labor Economics (IZA) CY - Bonn T2 - IZA Discussion Paper IS - 13803 UR - https://www.iza.org/publications/dp13803 AB - We propose an Adjusted Quasi-Score (AQS) method for constructing tests for homoskedasticity in spatial econometric models. We first obtain an AQS function by adjusting the score-type function from the given model to achieve unbiasedness, and then develop an Outer-Product-of-Martingale-Difference (OPMD) estimate of its variance. In standard problems where a genuine (quasi) score vector is available, the AQS-OPMD method leads to finite sample improved tests over the usual methods. More importantly in non-standard problems where a genuine (quasi) score is not available and the usual methods fail, the proposed AQS-OPMD method provides feasible solutions. The AQS tests are formally derived and asymptotic properties examined for three representative models: spatial cross-sectional, static or dynamic panel models. Monte Carlo results show that the proposed AQS tests have good finite sample properties. KW - non-normality KW - martingale difference KW - incidental parameters KW - heteroskedasticity KW - fixed effects KW - adjusted quasi-scores KW - short dynamic panels KW - spatial effects ER -