174
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Model selection with misspecified spatial covariance structure

, , &
Pages 2276-2294 | Received 01 Oct 2013, Accepted 18 May 2014, Published online: 16 Jun 2014

References

  • Akaike H. Information theory and an extension of the maximum likelihood principle. Proceedings of the Second International Symposium on Information Theory; 1973. p. 267–281.
  • Hurvich CM, Tsai CL. Regression and time series model selection in small samples. Biometrika. 1989;76:297–307. doi: 10.1093/biomet/76.2.297
  • Schwarz G. Estimation the dimension of a model. Ann Statist. 1978;6:461–464. doi: 10.1214/aos/1176344136
  • Rissanen J. Modeling by the shortest data description. Automatica. 1978;14:465–471. doi: 10.1016/0005-1098(78)90005-5
  • Shi P, Tsai CL. Regression model selection-a residual likelihood approach. J Roy Statist Soc B. 2002;64:237–252. doi: 10.1111/1467-9868.00335
  • Pan W. Akaike's information criterion in generalized estimating equations. Biometrics. 2001;57:120–125. doi: 10.1111/j.0006-341X.2001.00120.x
  • Spiegelhalter DJ, Best NG, Carlin BP, Linde A. Bayesian measures of model complexity and fit (with discussion). J Roy Statist Soc Ser B. 2002;64:583–640. doi: 10.1111/1467-9868.00353
  • Cressie NAC. Working covariance model selection for generalized estimating equations. New York: Wiley; 1993.
  • Schabenberger O, Gotway CA. Statistical methods for spatial data analysis. Boca Raton, FL: CRC Press; 2005.
  • Hin LY, Wang YG. Working correlation structure identification in generalized estimating equations. Stat Med. 2009;28:642–658. doi: 10.1002/sim.3489
  • Hoeting JA, Davis RA, Merton AA, Thomspon SE. Model selection for geostatistical models. Ecol Appl. 2006;16:87–98. doi: 10.1890/04-0576
  • Lee H, Ghosh SK. Performance of information criteria for spatial models. J Stat Comput Simul. 2009;79:93–106. doi: 10.1080/00949650701611143
  • Barnett AG, Koper N, Dobson AJ, Schmiegelow F, Manseau M. Using information criteria to select the correct variance-covariance structure for longitudinal data in ecology. Methods Ecol Evol. 2010;1:15–24. doi: 10.1111/j.2041-210X.2009.00009.x
  • Wang YG, Carey V. Working correlation structure misspecification, estimation and covariate design: implications for generalised estimating equations performance. Biometrika. 2003;90:29–41. doi: 10.1093/biomet/90.1.29
  • Wang YG, Lin X. Effects of variance-function misspecification in analysis of longitudinal data. Biometrics. 2005;61:413–421. doi: 10.1111/j.1541-0420.2005.00321.x
  • Nishii R. Asymptotic properties of criteria for selection of variables in multiple regression. Ann Statist. 1984;12:758–765. doi: 10.1214/aos/1176346522
  • Kass RE, Wasserman L. The selection of prior distributions by formal rules. J Amer Statist Assoc. 1996;91:1343–1370. doi: 10.1080/01621459.1996.10477003
  • Kullback S, Leibler RA. On information and sufficiency. Ann Statist. 1951;22:79–86. doi: 10.1214/aoms/1177729694
  • Akaike H. Fitting autoregressive models for prediction. Ann Inst Statist Math. 1969;21:243–247. doi: 10.1007/BF02532251
  • Burnham KP, Anderson DR. Model selection and inference: a pracical information theoretic approach. 2nd ed. New York: Springer-Verlag; 2002.
  • Kass RE, Raftery CL. Bayes factors. J Amer Statist Assoc. 1995;90:773–795. doi: 10.1080/01621459.1995.10476572
  • Neath A, Cavanaugh J. Regression and time series model selection using variants of the Schwarz information criterion. Comm Statist. 1997;26:559–580. doi: 10.1080/03610929708831934
  • Mardia KV, Marshalll RJ. Maximum likelihood estimation of models for residual covariance in spatial regression. Biometrika. 1984;71:135–146. doi: 10.1093/biomet/71.1.135
  • Cressie N, Lahiri SN. Asymptotics for reml estimation of spatial covariance parameters. J Statist Plann Inference. 1996;50:327–341. doi: 10.1016/0378-3758(95)00061-5
  • McGilchrist CA. Bias of ml and reml estimators in regr ession models with arma errors. J Stat Comput Simul. 1989;32:127–136. doi: 10.1080/00949658908811169
  • Ying Z. Asymptotic properties of a maximum likelihood estimator with data from a gaussian process. J Multivariate Anal. 1991;36:280–296. doi: 10.1016/0047-259X(91)90062-7
  • Chen HS, Simpson DG. Infill asymptotics for a stochastic process model with measurement error. Statist Sinica. 2000;10:141–156.
  • Zhang H. Inconsistent estimation and asymptotically equal interpolations in model-based geostatistics. J Amer Statist Assoc. 2004;99:250–261. doi: 10.1198/016214504000000241
  • Hollander AD, Davis FW, Stoms DM. Hierarchical representations of species distributions using maps, images and sighting data. London: Chapman and Hall; 1994.
  • Hoef JMV, Cressie N, Fisher RN, Case TJ. Uncertainty and spatial linear models for ecological data. New York: Springer-Verlag; 1978.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.