Preface |
|
xi | |
Authors |
|
xiii | |
|
I Disease mapping: The foundations |
|
|
1 | (2) |
|
|
3 | (7) |
|
1.1 Some considerations on this book |
|
|
10 | (5) |
|
|
13 | (2) |
|
2 Some basic ideas of Bayesian inference |
|
|
15 | (1) |
|
|
15 | (10) |
|
2.1.1 Some useful probability distributions |
|
|
22 | (3) |
|
2.2 Bayesian hierarchical models |
|
|
25 | (11) |
|
2.3 Markov Chain Monte Carlo computing |
|
|
36 | (15) |
|
2.3.1 Convergence assessment of MCMC simulations |
|
|
41 | (10) |
|
3 Some essential tools for the practice of Bayesian disease mapping |
|
|
51 | (1) |
|
|
51 | (27) |
|
|
53 | (9) |
|
3.1.2 Running models in WinBUGS |
|
|
62 | (7) |
|
3.1.3 Calling WinBUGS from R |
|
|
69 | (9) |
|
|
78 | (13) |
|
|
81 | (10) |
|
|
91 | (7) |
|
3.4 Some interesting resources in R for disease mapping practitioners |
|
|
98 | (7) |
|
4 Disease mapping from foundations |
|
|
105 | (1) |
|
|
105 | (14) |
|
4.1.1 Risk measures in epidemiology |
|
|
106 | (4) |
|
4.1.2 Risk measures as statistical estimators |
|
|
110 | (5) |
|
4.1.3 Disease mapping: the statistical problem |
|
|
115 | (4) |
|
4.2 Non-spatial smoothing |
|
|
119 | (12) |
|
|
131 | (58) |
|
4.3.1 Spatial distributions |
|
|
132 | (4) |
|
4.3.1.1 The Intrinsic CAR distribution |
|
|
136 | (6) |
|
4.3.1.2 Some proper CAR distributions |
|
|
142 | (9) |
|
4.3.2 Spatial hierarchical models |
|
|
151 | (9) |
|
4.3.2.1 Prior choices in disease mapping models |
|
|
160 | (11) |
|
4.3.2.2 Some computational issues on the BYM model |
|
|
171 | (7) |
|
4.3.2.3 Some illustrative results on real data |
|
|
178 | (11) |
|
II Disease mapping: Towards multidimensional modeling |
|
|
189 | (2) |
|
|
191 | (1) |
|
5.1 Ecological regression: a motivation |
|
|
192 | (5) |
|
5.2 Ecological regression in practice |
|
|
197 | (9) |
|
5.3 Some issues to take care of in ecological regression studies |
|
|
206 | (17) |
|
|
206 | (10) |
|
5.3.2 Fallacies in ecological regression |
|
|
216 | (1) |
|
5.3.2.1 The Texas sharpshooter fallacy |
|
|
216 | (2) |
|
5.3.2.2 The ecological fallacy |
|
|
218 | (5) |
|
5.4 Some particular applications of ecological regression |
|
|
223 | (10) |
|
5.4.1 Spatially varying coefficients models |
|
|
223 | (3) |
|
5.4.2 Point source modeling |
|
|
226 | (7) |
|
6 Alternative spatial structures |
|
|
233 | (1) |
|
6.1 CAR-based spatial structures |
|
|
234 | (13) |
|
6.2 Geostatistical modeling |
|
|
247 | (5) |
|
6.3 Moving-average based spatial dependence |
|
|
252 | (4) |
|
6.4 Spline-based modeling |
|
|
256 | (9) |
|
6.5 Modeling of specific features in disease mapping studies |
|
|
265 | (16) |
|
6.5.1 Modeling partitions and discontinuities |
|
|
265 | (9) |
|
6.5.2 Models for fitting zero excesses |
|
|
274 | (7) |
|
7 Spatio-temporal disease mapping |
|
|
281 | (1) |
|
7.1 Some general issues in spatio-temporal modeling |
|
|
282 | (9) |
|
7.2 Parametric temporal modeling |
|
|
291 | (8) |
|
7.3 Spline-based modeling |
|
|
299 | (9) |
|
7.4 Non-parametric temporal modeling |
|
|
308 | (11) |
|
|
319 | (3) |
|
8.1 Conditionally specified models |
|
|
322 | (17) |
|
8.1.1 Multivariate models as sets of conditional multivariate distributions |
|
|
322 | (8) |
|
8.1.2 Multivariate models as sets of conditional univariate distributions |
|
|
330 | (9) |
|
8.2 Coregionalization models |
|
|
339 | (15) |
|
8.3 Factor models, smoothed ANOVA and other approaches |
|
|
354 | (15) |
|
|
356 | (3) |
|
|
359 | (6) |
|
|
365 | (4) |
|
9 Multidimensional modeling |
|
|
369 | (1) |
|
9.1 A brief introduction and review of multidimensional modeling |
|
|
370 | (6) |
|
9.2 A formal framework for multidimensional modeling |
|
|
376 | (23) |
|
9.2.1 Some tools and notation |
|
|
377 | (3) |
|
|
380 | (3) |
|
9.2.3 Inseparable modeling |
|
|
383 | (16) |
Appendix 1 |
|
399 | (2) |
Bibliography |
|
401 | (28) |
Index |
|
429 | |