Smoothing geographical data, particularly rates of disease

Statistics in Medicine

Volumn 15, Issue 23, 1996, Pages 2539-2560

  Kafadar, Karen ^a  

^a UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CAUCASIAN; DATA ANALYSIS; ETHNIC GROUP; GEOGRAPHY; HUMAN; MORBIDITY; MORTALITY; PROSTATE CANCER; STANDARDIZATION;

AFRICAN AMERICANS; AGE DISTRIBUTION; ANALYSIS OF VARIANCE; BIAS (EPIDEMIOLOGY); DATA INTERPRETATION, STATISTICAL; EPIDEMIOLOGIC METHODS; EUROPEAN CONTINENTAL ANCESTRY GROUP; HUMANS; MALE; NONLINEAR DYNAMICS; PROSTATIC NEOPLASMS; SURVIVAL RATE; UNITED STATES;

EID: 0029803818     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0258(19961215)15:23<2539::AID-SIM379>3.0.CO;2-B     Document Type: Article

References (35)

1. Tukey, J. W. Exploratory Data Analysis, Addison-Wesley, Reading, MA, 1977.
2. Cleveland, W. S. 'Robust locally weighted regression and smoothing scatterplots', Journal of the American Statistical Association, 74, (368), 829-836 (1979).
3. Friedman, J. H. and Silverman, B. W. 'Flexible parsimonious smoothing and adaptive modeling', Technometrics, 31, (1), 3-39 (1989).
4. Buja, A., Hastie, T. and Tibshirani R. 'Linear smoothers and additive models', Annals of Statistics, 17, (2), 453-555 (1989).
5. Goodall, C. R. 'A survey of smoothing techniques', in Fox, J. and Long, J. S. (eds), Modern Methods of Data Analysis Sage Publishing, Beverly Hills, CA, 126-176 (1990).
6. Tukey, J. W. 'Ecological Exploration: A series of reports based on a visit to the National Cancer Institute', Department of Statistics, Princeton University, 1993.
7. Mathéron, G. 'Principles of geostastics', Economic Geology, 58, 1246-1266 (1963).
8. Ripley, B. Spatial Statistics, Wiley, New York, 1981.
9. Tukey, P. A. and Tukey, J. W. 'Graphic display of data sets in 3 or more dimensions', in Barnett, V. (ed), Interpreting Multivariate Data, Chapters 10, 11, 12 Wiley, Chichester, pp. 189-275, 1991. Reprinted in The Collected Works of John W. Tukey, Volume V (ed. W. S. Cleveland), Wadsworth, Belmont, CA, pp. 188-288, 1989.
10. Tukey, P. A. and Tukey, J. W. 'Graphic display of data sets in 3 or more dimensions', in Barnett, V. (ed), Interpreting Multivariate Data, Chapters 10, 11, 12 Wiley, Chichester, pp. 189-275, 1991. Reprinted in The Collected Works of John W. Tukey, Volume V (ed. W. S. Cleveland), Wadsworth, Belmont, CA, pp. 188-288, 1989.
11. Cleveland, W. S. and Devlin, S. J. 'Locally weighted regression: An approach to regression analysis by local fitting', Journal of the American Statistical Association, 83, (403), 596-610 (1988).
12. Cressie, N. 'Kriging nonstationary data', Journal of the American Statistical Association, 81, (395), 625-634 (1986).
13. Cressie, N. 'Smoothing regional maps using empirical Bayes predictors', Geographic Analysis, 24, (1), 75-95 (1992).
14. Hansen, K. M. 'Headbanging: Robust smoothing in the plane', IEEE Transactions on Geoscience and Remote Sensing, 29, (3), 369-378 (1991).
15. Kaldor, J. and Clayton, D. 'Role of advanced statistical techniques in cancer mapping', in Boyle, P., Muir, C. S. and Grundmann, E. (eds). Recent Results in Cancer Research 114: Cancer Mapping, Springer-Verlag, New York, 1989, pp. 87-98.
16. Marshall, R. J. 'Mapping disease and mortality rates using empirical Bayes estimators', Applied Statistics, 40, (2), 282-294 (1991).
17. Manton, K. G., Woodbury, M. A., Stallard, E., Riggan, W. B., Creason, J. P. and Pellon, A. C. 'Empirical Bayes procedures for stabilizing maps of U.S. cancer mortality rates', Journal of the American Statistical Association, 84, (407), 637-650 (1989).
18. Kafadar, K. 'Choosing among two-dimensional smoothers in practice', Computational Statistics and Data Analysis, 18, 419-439 (1994).
19. Hastie, T. and Loader, C. 'Local regression: Automatic kernel carpentry (with discussion)', Statistical Science, 8, 120-143 (1993).
20. Ku, H. H. 'Notes on the use of propagation of error formulas', NBS Journal of Research, 70L, (4), 263-273 (1966).
21. Mosteller, F. and Tukey, J. W. Data Analysis and Regression: A second Course in Statistics, Addison-Wesley, Reading, Massachusetts, 1977.
22. Tukey, J. W. 'Statistical mapping: What should not be plotted', Proceedings of the 1976 Workshop on Automated Cartography, DHEW Publication No. (PHS) 79-1254, 18-26, 1979. Reprinted in The Collected Works of John W. Tukey, Volume V: Graphics, 1965-1985 (ed. W. S. Cleveland), Wadsworth, Belmont, California, 109-121 (1989).
23. Tukey, J. W. 'Statistical mapping: What should not be plotted', Proceedings of the 1976 Workshop on Automated Cartography, DHEW Publication No. (PHS) 79-1254, 18-26, 1979. Reprinted in The Collected Works of John W. Tukey, Volume V: Graphics, 1965-1985 (ed. W. S. Cleveland), Wadsworth, Belmont, California, 109-121 (1989).
24. Bloomfield, P. Fourier Analysis of Time Series, Wiley, New York, 1976.
25. Beaton, A. and Tukey, J. W. 'The fitting of power series, meaning polynomials, illustrated on band-spectroscopic data', Technometrics, 16, 147-185 (1974).
26. Hastie, T. and Tibshirani, R. Generalized Additive Models, Chapman and Hall, New York, 1989.
27. Chambers, J. and Hastie, T. Statistical Models in S, Wadsworth, Belmont, CA, 1991.
28. Pommerenke, F. A. and Srivastava, S. 'State cancer control map an data program targeting cancer control at the local level', in Greenwald, P., Kramer, B. S. and Weed, D. L. (eds), Cancer Prevention and Control, Marcel Dekker, New York, 1995, pp. 771-775.
29. U.S. Bureau of the Census. Statistical Abstract of the United States, U.S. Bureau of the Census, Government Printing Office, Washington, D.C., 1992.
30. Becker, R. A., Chambers, J. M. and Wilks, A. R. The New S Language: A Programming Environment for Data Analysis and Graphics, Wadsworth, Belmont, CA, 1988.
31. Statistical Sciences, Inc. S-Plus User's Manual, Seattle, Washington, 1990.
32. Hansen, K. M. (personal communication).
33. Schwartz, G. G. and Hulka, B. S. 'Is vitamin D deficiency a risk factor for prostate cancer? (Hypothesis)', Anticancer Research, 10, 1302-1312 (1990).
34. Braun, M. M., Helzlsouer, K. J., Hollis, B. W. and Comstock, G. W. 'Prostate cancer and prediagnostic levels of serum vitamin D metabolites (Maryland, United States)', Cancer Causes and Control, 6, 235-239 (1995).
35. Kafadar, K. 'Geographical trends in prostate cancer mortality: An application of spatial smoothers and the need for adjustment', to appear in the Annals of Epidemiology.