Finite Sample Properties of Moran's I Test for Spatial Autocorrelation in Tobit Models

• NCJ Number: 249175
• Journal: Papers in Regional Science Volume: 93 Issue: 4 Dated: November 2014 Pages: 773-781
• Author(s): Pedro V. Amaral; Luc Anselin
• Date Published: 2014
• Length: 9 pages
• Grant Number(s): 2009-SQ-B9-K101
• Agencies: NIJ-Sponsored
• Publication Type: Test/Measurement; Research (Applied/Empirical); Report (Study/Research); Report (Grant Sponsored)
• Award: Flexible Geospatial Visual Analytics and Simulation Technologies to Enhance Criminal Justice Decision Support Systems

Annotation

This note investigates the finite-sample properties of Moran's/test statistic for spatial autocorrelation in tobit models suggested by Kelejian and Prucha.

Abstract

A void in the theoretical literature is filled by investigating the finite-sample properties of this test statistics in a series of Monte Carlo simulations, using data sets that range from 49 to 15,625 observations. The study found that the test is unbiased, has considerable power, and approximates the asymptotic normal distribution even for medium-sized sample sizes, empirically confirming the theoretical results of Kelejian and Prucha; however, some caution is needed, since the statistic turns out to be sensitive to misspecification in the form of heteroscedasticity. In such instances, the test over-rejects the null hypothesis, mistaking heteroscedasticity for spatial autocorrelation. (Publisher abstract modified)