This paper describes statistics for model criticism in spatial econome
trics. The purpose of these statistics is to evaluate how well a chose
n model fits the data and to identify influential cases and how they a
ffect the aggregate picture. The paper reviews results in Martin (1992
) for the regression model with correlated errors where the coefficien
ts of the variance matrix are assumed either known or fixed. The probl
ems of applying the statistics in spatial econometric modeling are dis
cussed. An application is reported which considers diagnostics for the
mean function and highlights cases that might influence estimates of
the parameter of the error model. Different ways of assessing the infl
uence of cases are also described.