A spatial view of the ecological inference problem

Ecological Inference: New Methodological Strategies

Volumn , Issue , 2004, Pages 233-244

  Crawford, Carol A Gotway ^a,b  

^a NATIONAL CENTER FOR ENVIRONMENTAL HEALTH   (United States)

^b UNIVERSITY OF FLORIDA COLLEGE OF MEDICINE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84926116376     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1017/CBO9780511510595.012     Document Type: Chapter

References (26)

1. Arbia, G. 1986. “The Modifiable Areal Unit Problem and the Spatial Autocorrelation Problem: Towards a Joint Approach,” Metron, 44: 391–407.
2. Arbia, G. 1989. “Statistical Effect of Data Transformations: A Proposed General Framework.” In M. Goodchild and S. Gopal (eds.), The Accuracy of Spatial Data Bases, London: Taylor and Francis, pp. 249–259.
3. Bithell, J. F. 1990. “An Application of Density Estimation to Geographical Epidemiology,” Statistics in Medicine, 9: 691–701.
4. Blalock, H. M. 1964. Causal Inferences in Nonexperimental Research. Chapel Hill, NC: University of North Carolina Press.
5. Brillinger, D. R. 1990. “Spatial–temporalModeling of Spatially Aggregate Birth Data,” Survey Methodology, 16: 255–269.
6. Brillinger, D. R. 1994. “Examples of Scientific Problems and Data Analyses in Demography, Neurophysiology, and Seismology,” Journal of Computational and Graphical Statistics, 3: 1–22.
7. Cleave, N., P. J. Brown, and C. D. Payne. 1995. “Evaluation of Methods for Ecological Inference,” Journal of the Royal Statistical Society, Series B, 159: 55–72.
8. Cressie, N. 1993. Statistics for Spatial Data. New York: Wiley.
9. Cressie, N. 1996. “Change of Support and the Modifiable Areal Unit Problem,” Geographical Systems, 3: 159–180.
10. Dyn, N., G. Wahba, and W. H. Wong. 1979. “Discussion of Tobler (1979), ‘Smooth Pycnophylactic Interpolation for Geographical Regions,’Journal of the American Statistical Association, 74: 530–535.
11. Gehlke, C. E. and K. Biehl. 1934. “Certain Effects of Grouping upon the Size of the Correlation Coefficient in Census Tract Material,” Journal of the American Statistical Association, supplement 29, pp. 169–170.
12. Gelfand, A. E., L. Zhu, and B. P. Carlin. 2001. “On the Change of Support Problem for Spatio-temporal Data,” Biostatistics, 2: 31–45.
13. Gotway, C. A. and L. J. Young. 2002. “Combining Incompatible Spatial Data,” Journal of the American Statistical Association, 97: 632–648.
14. Kelsall, J. E. and P. J. Diggle. 1995. “Non-parametric Estimation of Spatial Variation in Relative Risk,” Statistics in Medicine, 14: 2335–2342.
15. Kelsall, J. E. and P. J. Diggle. 1998. “Spatial Variation in Risk: A Nonparametric Binary Regression Approach,” Applied Statistics, 47: 559–573.
16. King, G. 1997. A Solution to the Ecological Inference Problem. Princeton, NJ: PrincetonUniversity Press.
17. Klein, S. P. and D.A. Freedman. 1993. “Ecological Regression inVoting Rights Cases,” Chance, 6: 38–43.
18. Morgenstern, H. 1982. “Uses of Ecologic Analysis in Epidemiologic Research,” American Journal of Public Health, 72: 1336–1344.
19. Muller, H. G., U. Stadtmuller, and F. Tabnak. 1997. “Spatial Smoothing of Geographically Aggregated Data, with Application to the Construction of Incidence Maps,” Journal of the American Statistical Association, 92: 61–71.
20. Olea, R. A. 1991. Geostatistical Glossary and Multilingual Dictionary. New York: Oxford University Press.
21. Openshaw, S. 1984. The Modifiable Areal Unit Problem. Norwich, England: Geobooks.
22. Openshaw, S. and P. Taylor. 1979. “A Million or So Correlation Coefficients.” In N. Wrigley (ed.), Statistical Methods in the Spatial Sciences. London: Pion, pp. 127–144.
23. Rogers, J. F., S. J. Thompson, C. L. Addy, R. E. McKeown, D. J. Cowen, and P. Decoufle. 2000. “Association of Very Low Birth Weight with Exposures to Environmental Sulfur Dioxide and Total Suspended Particulates,” American Journal of Epidemiology, 151: 602–613.
24. Tobler, W. 1979. “Smooth Pycnophylactic Interpolation for Geographical Regions (with Discussion),” Journal of the American Statistical Association, 74: 519–536.
25. Tolbert, P. E., J. A. Mulholland, D. L. MacIntosh, D. L. F. Xu, D. Daniels, O. J. Devine, B. P. Carlin, M. Klein, J. Dorley, A. J. Butler, D. F. Nordenberg, H. Frumkin, P. B. Ryan, and M. C. White. 2000. “Air Pollution and Pediatric Emergency Room Visits for Asthma in Atlanta,” American Journal of Epidemiology, 151: 798–810.
26. Wong, D. W. S. 1996. “Aggregation Effects in Geo-referenced Data.” In D. A. Griffith (ed.), Advanced Spatial Statistics. Boca Raton, FL: CRC Press, pp. 83–106.