Outliers in Cross-Sectional Regression

The robustness of the results coming from an econometric application depends to a great extent on the quality of the sampling information. This statement is a general rule that becomes especially relevant in a spatial context where data usually have lots of irregularities. The purpose of our paper is to examine more closely this question paying attention to one point in particular, namely outliers. The presence of outliers in the sample may be useful, for example in order to break some multicollinearity relations but they may also result in other inconsistencies. The main aspect of our work is that we resolve the discussion in a spatial context, looking closely into the behaviour shown, under several unfavourable conditions, by the most outstanding misspecification tests. For this purpose, we plan and solve a Monte Carlo simulation. The conclusions point to the fact that these statistics react in a different way to the problems posed.

[1]  D. Peña Influential Observations in Time Series , 1990 .

[2]  Robert Haining,et al.  Data Problems in Spatial Econometric Modeling , 1995 .

[3]  S. Chatterjee Sensitivity analysis in linear regression , 1988 .

[4]  Shashi Shekhar,et al.  Detecting graph-based spatial outliers , 2002, Intell. Data Anal..

[5]  Sergio J. Rey,et al.  Advances in Spatial Econometrics: Methodology, Tools and Applications , 2004 .

[6]  Douglas M. Hawkins Identification of Outliers , 1980, Monographs on Applied Probability and Statistics.

[7]  Daniel A. Griffith,et al.  Spatial Statistics: Past, Present, and Future , 1990 .

[8]  Mike Rees,et al.  5. Statistics for Spatial Data , 1993 .

[9]  R. Haining DIAGNOSTICS FOR REGRESSION MODELING IN SPATIAL ECONOMETRICS , 1994 .

[10]  A. Fielding Sensitivity Analysis in Linear Regression , 1990 .

[11]  R. Tsay Outliers, Level Shifts, and Variance Changes in Time Series , 1988 .

[12]  M. Kendall,et al.  The advanced theory of statistics , 1945 .

[13]  Noel A Cressie,et al.  Statistics for Spatial Data. , 1992 .

[14]  Jim Freeman,et al.  Outliers in Statistical Data (3rd edition) , 1995 .

[15]  Luc Anselin,et al.  Small Sample Properties of Tests for Spatial Dependence in Regression Models: Some Further Results , 1995 .

[16]  G. C. Tiao,et al.  Estimation of time series parameters in the presence of outliers , 1988 .

[17]  P. Perron,et al.  The Great Crash, The Oil Price Shock And The Unit Root Hypothesis , 1989 .