{"title":"随机效应面板数据模型的空间滞后依赖性和同方差性检验","authors":"Badi H. Baltagi , Long Liu","doi":"10.1016/j.econlet.2025.112469","DOIUrl":null,"url":null,"abstract":"<div><div>This paper derives a joint Lagrange Multiplier (LM) test for spatial correlation and homoskedasticity for a spatial autoregressive (SAR) panel model with random effects. The heteroskedasticity in the random effects term is an <em>unknown</em> function of <em>known</em> strictly exogenous variables as in Holly and Gardiol (2000). The latter paper deals with a panel random effects model with heteroskedasticity that ignores the spatial correlation. Conditional LM tests for homoskedasticity given spatial lag correlation, as well as zero spatial lag correlation given heteroskedasticity are also derived. Monte Carlo experiments are performed to study the small sample performance of these tests.</div></div>","PeriodicalId":11468,"journal":{"name":"Economics Letters","volume":"254 ","pages":"Article 112469"},"PeriodicalIF":2.1000,"publicationDate":"2025-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Testing for spatial lag dependence and homoskedasticity in a random effects panel data model\",\"authors\":\"Badi H. Baltagi , Long Liu\",\"doi\":\"10.1016/j.econlet.2025.112469\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper derives a joint Lagrange Multiplier (LM) test for spatial correlation and homoskedasticity for a spatial autoregressive (SAR) panel model with random effects. The heteroskedasticity in the random effects term is an <em>unknown</em> function of <em>known</em> strictly exogenous variables as in Holly and Gardiol (2000). The latter paper deals with a panel random effects model with heteroskedasticity that ignores the spatial correlation. Conditional LM tests for homoskedasticity given spatial lag correlation, as well as zero spatial lag correlation given heteroskedasticity are also derived. Monte Carlo experiments are performed to study the small sample performance of these tests.</div></div>\",\"PeriodicalId\":11468,\"journal\":{\"name\":\"Economics Letters\",\"volume\":\"254 \",\"pages\":\"Article 112469\"},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2025-07-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Economics Letters\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0165176525003064\",\"RegionNum\":4,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ECONOMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Economics Letters","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165176525003064","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ECONOMICS","Score":null,"Total":0}
Testing for spatial lag dependence and homoskedasticity in a random effects panel data model
This paper derives a joint Lagrange Multiplier (LM) test for spatial correlation and homoskedasticity for a spatial autoregressive (SAR) panel model with random effects. The heteroskedasticity in the random effects term is an unknown function of known strictly exogenous variables as in Holly and Gardiol (2000). The latter paper deals with a panel random effects model with heteroskedasticity that ignores the spatial correlation. Conditional LM tests for homoskedasticity given spatial lag correlation, as well as zero spatial lag correlation given heteroskedasticity are also derived. Monte Carlo experiments are performed to study the small sample performance of these tests.
期刊介绍:
Many economists today are concerned by the proliferation of journals and the concomitant labyrinth of research to be conquered in order to reach the specific information they require. To combat this tendency, Economics Letters has been conceived and designed outside the realm of the traditional economics journal. As a Letters Journal, it consists of concise communications (letters) that provide a means of rapid and efficient dissemination of new results, models and methods in all fields of economic research.