Autoregressive spatial smoothing and temporal spline smoothing for mapping rates. 2001

Y C MacNab, and C B Dean
Department of Health Care and Epidemiology, University of British Columbia, and Centre for Community Child Health and Health Evaluation Research, British Columbia Institute for Children's and Women's Health, Vancouver, Canada. ymacnab@interchange.ubc.ca

This article proposes generalized additive mixed models for the analysis of geographic and temporal variability of mortality rates. This class of models accommodates random spatial effects and fixed and random temporal components. Spatiotemporal models that use autoregressive local smoothing across the spatial dimension and B-spline smoothing over the temporal dimension are developed. The objective is the identification of temporal treads and the production of a series of smoothed maps from which spatial patterns of mortality risks can be monitored over time. Regions with consistently high rate estimates may be followed for further investigation. The methodology is illustrated by analysis of British Columbia infant mortality data.

UI MeSH Term Description Entries
D007223 Infant A child between 1 and 23 months of age. Infants
D007226 Infant Mortality Postnatal deaths from BIRTH to 365 days after birth in a given population. Postneonatal mortality represents deaths between 28 days and 365 days after birth (as defined by National Center for Health Statistics). Neonatal mortality represents deaths from birth to 27 days after birth. Neonatal Mortality,Mortality, Infant,Postneonatal Mortality,Infant Mortalities,Mortalities, Infant,Mortalities, Neonatal,Mortalities, Postneonatal,Mortality, Neonatal,Mortality, Postneonatal,Neonatal Mortalities,Postneonatal Mortalities
D007231 Infant, Newborn An infant during the first 28 days after birth. Neonate,Newborns,Infants, Newborn,Neonates,Newborn,Newborn Infant,Newborn Infants
D012044 Regression Analysis Procedures for finding the mathematical function which best describes the relationship between a dependent variable and one or more independent variables. In linear regression (see LINEAR MODELS) the relationship is constrained to be a straight line and LEAST-SQUARES ANALYSIS is used to determine the best fit. In logistic regression (see LOGISTIC MODELS) the dependent variable is qualitative rather than continuously variable and LIKELIHOOD FUNCTIONS are used to find the best relationship. In multiple regression, the dependent variable is considered to depend on more than a single independent variable. Regression Diagnostics,Statistical Regression,Analysis, Regression,Analyses, Regression,Diagnostics, Regression,Regression Analyses,Regression, Statistical,Regressions, Statistical,Statistical Regressions
D001955 British Columbia A province of Canada on the Pacific coast. Its capital is Victoria. The name given in 1858 derives from the Columbia River which was named by the American captain Robert Gray for his ship Columbia which in turn was named for Columbus. (From Webster's New Geographical Dictionary, 1988, p178 & Room, Brewer's Dictionary of Names, 1992, p81-2)
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D001699 Biometry The use of statistical and mathematical methods to analyze biological observations and phenomena. Biometric Analysis,Biometrics,Analyses, Biometric,Analysis, Biometric,Biometric Analyses
D015233 Models, Statistical Statistical formulations or analyses which, when applied to data and found to fit the data, are then used to verify the assumptions and parameters used in the analysis. Examples of statistical models are the linear model, binomial model, polynomial model, two-parameter model, etc. Probabilistic Models,Statistical Models,Two-Parameter Models,Model, Statistical,Models, Binomial,Models, Polynomial,Statistical Model,Binomial Model,Binomial Models,Model, Binomial,Model, Polynomial,Model, Probabilistic,Model, Two-Parameter,Models, Probabilistic,Models, Two-Parameter,Polynomial Model,Polynomial Models,Probabilistic Model,Two Parameter Models,Two-Parameter Model

Related Publications

Y C MacNab, and C B Dean
May 2021, Sensors (Basel, Switzerland),
Y C MacNab, and C B Dean
June 2022, Biometrical journal. Biometrische Zeitschrift,
Y C MacNab, and C B Dean
June 1986, Biotechnology and bioengineering,
Y C MacNab, and C B Dean
January 2012, AMIA Joint Summits on Translational Science proceedings. AMIA Joint Summits on Translational Science,
Y C MacNab, and C B Dean
July 2008, Statistics in medicine,
Y C MacNab, and C B Dean
January 2022, Journal of geographical systems,
Y C MacNab, and C B Dean
April 2019, Computer methods and programs in biomedicine,
Copied contents to your clipboard!