Modeling and prediction for multivariate spatial factor analysis

Journal of Statistical Planning and Inference

Volumn 115, Issue 2, 2003, Pages 543-564

  Christensen, William F ^a   Amemiya, Yasuo ^b  

^a BRIGHAM YOUNG UNIVERSITY   (United States)

^b Department of Statistics Center for Statistics and Applications in Forensic Evidence Iowa State University 2438 Osborn Dr Ames   (United States)

Author keywords

Geo referenced data; Kriging; Latent variables; Model building

Indexed keywords

EID: 0037902272     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(02)00173-8     Document Type: Article

References (18)

1. Amemiya Y. Anderson T.W. Asymptotic chi-square tests for a large class of factor analysis models Ann. Statist. 18 1990 1453-1463
2. Amemiya Y. Fuller W.A. Pantula S.G. The asymptotic distributions of some estimators for a factor analysis model J. Multivariate Anal. 22 1987 51-64
3. Anderson T.W. Amemiya Y. The asymptotic normal distribution of estimators in factor analysis under general conditions Ann. Statist. 16 1988 759-771
4. Christensen W.F. Amemiya Y. Generalized shifted-factor analysis method for multivariate geo-referenced data Math. Geol. 33 2001 801-824
5. Christensen W.F. Amemiya Y. Latent variable analysis of multivariate spatial data J. Amer. Statist. Assoc. 97 2002 302-317
6. Cliff A.D. Ord J.K. Spatial Processes: Models and Applications 1981 Pion London
7. Colvin T.S. Jaynes D.B. Karlen D.L. Laird D.A. Ambuel J.R. Yield variability within a Central Iowa field Trans. ASAE 40 1997 883-889
8. Cook D. Cressie N. Majure J. Symanzik J. Some dynamic graphics for spatial data (with multiple attributes) in GIS Dutter R. Grossman W. (Eds.) Proceedings in Computational Statistics, 11th Symposium held in Vienna, Austria 1994 105-119 Physica-Verlag Heidelberg
9. Cressie N.A.C. Statistics for Spatial Data Revised Edition 1993 Wiley New York
10. Fuller W.A. Measurement Error Models 1987 Wiley New York
11. Grunsky E.C. Agterberg F.P. SPFAC: A Fortran-77 program for spatial factor analysis of multivariate data Comput. & Geosci. 17 1991 133-160
12. Grunsky E.C. Agterberg F.P. Spatial relationships of multivariate data Math. Geol. 24 1992 731-758
13. Switzer, P., Green, A.A., 1984. Min/max autocorrelation factors for multivariate spatial imagery. Technical Report 6, Department of Statistics, Stanford University, Stanford, CA.
14. Ver Hoef J.M. Cressie N. Multivariate spatial prediction Math. Geol. 25 1991 219-240
15. Ver Hoef, J.M., Reiter, S.R., Glenn-Lewin, D.C., 1993. Glades of the Ozark National Scenic Riverways, Missouri. The National Park Service, United States Department of the Interior, Midwest Division, Omaha, NE.
16. Wackernagel H. Geostatistical techniques for interpreting multivariate spatial information Chung C.F. Fabbri A.G. Sinding-Larsen R. (Eds.) Quantitative Analysis of Mineral and Energy Resources 1988 393-409 Reidel Dordrecht
17. Wartenberg D. Spatial autocorrelation as a criterion for retaining factors in ordinations of geographic data Math. Geol. 17 1985 665-682
18. Wartenberg D. Multivariate spatial correlation: a method for exploratory geographical analysis Geogr. Anal. 17 1985 263-283