TY - JOUR
T1 - Local influence analysis in general spatial models
AU - Dai, Xiaowen
AU - Jin, Libin
AU - Shi, Lei
AU - Yang, Cuiping
AU - LIU, Shuangzhe
N1 - Funding Information:
We are very grateful to the editor, an AE and two reviewers for their constructive comments which led to an improved version of the manuscript. Shi’s work is supported by National Natural Science Foundation of China (Nos. 11161053, 11361071) and Key Project of NSFC (Yunnan Joint Project) (No. U1302267).
Publisher Copyright:
© 2015, Springer-Verlag Berlin Heidelberg.
PY - 2016
Y1 - 2016
N2 - We study the local influence in the general spatial model which includes
the spatial autoregressive model and the spatial error model as two special cases.
The stepwise local influence procedure is employed in our diagnostic analysis. We
derive the local diagnostic measures in the general spatial model under three perturbation
schemes, namely, the variance perturbation, dependent variable perturbation
and explanatory variable perturbation schemes. A simulation example and two realdata
examples are analysed in detail and they show that the stepwise local influence
analysis is effective in identifying influential observations and is a powerful tool for
uncovering masking effects.
AB - We study the local influence in the general spatial model which includes
the spatial autoregressive model and the spatial error model as two special cases.
The stepwise local influence procedure is employed in our diagnostic analysis. We
derive the local diagnostic measures in the general spatial model under three perturbation
schemes, namely, the variance perturbation, dependent variable perturbation
and explanatory variable perturbation schemes. A simulation example and two realdata
examples are analysed in detail and they show that the stepwise local influence
analysis is effective in identifying influential observations and is a powerful tool for
uncovering masking effects.
KW - general spatial model
KW - influential observation
KW - perturbation scheme
KW - General spatial model
KW - Stepwise local influence analysis
KW - Perturbation scheme
KW - Influential observation
UR - http://www.scopus.com/inward/record.url?scp=84946781221&partnerID=8YFLogxK
UR - http://www.mendeley.com/research/local-influence-analysis-general-spatial-models
U2 - 10.1007/s10182-015-0261-9
DO - 10.1007/s10182-015-0261-9
M3 - Article
SN - 1863-8171
VL - 100
SP - 313
EP - 331
JO - AStA Advances in Statistical Analysis
JF - AStA Advances in Statistical Analysis
IS - 3
ER -