Non-parametric maximum likelihood estimators for disease mapping.

Abstract:

:A Non-Parametric Maximum Likelihood approach to the estimation of relative risks in the context of disease mapping is discussed and a NPML approximation to conditional autoregressive models is proposed. NPML estimates have been compared to other proposed solutions (Maximum Likelihood via Monte Carlo Scoring, Hierarchical Bayesian models) using real examples. Overall, the NPML autoregressive estimates (with weighted term) were closer to the Bayesian estimates. The exchangeable NPML model ranked immediately after, even if it implied a greater shrinkage, while the truncated auto-Poisson showed inadequate for disease mapping. The coefficients of the autoregressive term for the different mixtures have clear interpretations: in the breast cancer example, the larger cities in the region showed high rates and very low correlation with the neighbouring areas, while the less populated rural areas with low rates were strongly positively correlated each other. This pattern is expected since breast cancer is strongly correlated with parity and age at first birth, and the female population of the rural areas experienced a decline in fertility much later than those living in the larger cities. The leukemia example highlighted the failure of the Poisson-Gamma model and other general overdispersion tests to detect high risk areas under specific conditions. The NPML approach in Aitkin is very general, simple and flexible. However the user should be warned against the possibility of local maxima and the difficulty in detecting the optimal number of components. Special software (such as CAMAN or DismapWin) had been developed and should be recommended mainly to not experienced users.

journal_name

Stat Med

journal_title

Statistics in medicine

authors

Biggeri A,Marchi M,Lagazio C,Martuzzi M,Böhning D

doi

10.1002/1097-0258(20000915/30)19:17/18<2539::aid-s

subject

Has Abstract

pub_date

2000-09-15 00:00:00

pages

2539-54

issue

17-18

eissn

0277-6715

issn

1097-0258

pii

10.1002/1097-0258(20000915/30)19:17/18<2539::AID-S

journal_volume

19

pub_type

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