Applied Statistics and Epidemiology Research Unit, Mathematical Sciences Department, Chancellor College, University of Malawi, Zomba, Malawi.
PLoS One. 2010 Jun 17;5(6):e11180. doi: 10.1371/journal.pone.0011180.
Neonatal mortality contributes a large proportion towards early childhood mortality in developing countries, with considerable geographical variation at small areas within countries.
A geo-additive logistic regression model is proposed for quantifying small-scale geographical variation in neonatal mortality, and to estimate risk factors of neonatal mortality. Random effects are introduced to capture spatial correlation and heterogeneity. The spatial correlation can be modelled using the Markov random fields (MRF) when data is aggregated, while the two dimensional P-splines apply when exact locations are available, whereas the unstructured spatial effects are assigned an independent Gaussian prior. Socio-economic and bio-demographic factors which may affect the risk of neonatal mortality are simultaneously estimated as fixed effects and as nonlinear effects for continuous covariates. The smooth effects of continuous covariates are modelled by second-order random walk priors. Modelling and inference use the empirical Bayesian approach via penalized likelihood technique. The methodology is applied to analyse the likelihood of neonatal deaths, using data from the 2000 Malawi demographic and health survey. The spatial effects are quantified through MRF and two dimensional P-splines priors.
Findings indicate that both fixed and spatial effects are associated with neonatal mortality.
Our study, therefore, suggests that the challenge to reduce neonatal mortality goes beyond addressing individual factors, but also require to understanding unmeasured covariates for potential effective interventions.
在发展中国家,新生儿死亡在儿童早期死亡中占很大比例,且在国家内部的小地区之间存在相当大的地理差异。
提出了一种地理加性逻辑回归模型,用于量化新生儿死亡率的小尺度地理差异,并估计新生儿死亡率的风险因素。引入随机效应来捕捉空间相关性和异质性。当数据聚合时,可以使用马尔可夫随机场 (MRF) 来建模空间相关性,而当有确切位置时,则应用二维 P-样条,而无结构的空间效应则分配独立的高斯先验。同时估计可能影响新生儿死亡率风险的社会经济和生物人口因素作为固定效应和连续协变量的非线性效应。连续协变量的平滑效应通过二阶随机游走先验来建模。通过惩罚似然技术的经验贝叶斯方法进行建模和推断。该方法应用于分析来自 2000 年马拉维人口和健康调查的数据中新生儿死亡的可能性。通过 MRF 和二维 P-样条先验来量化空间效应。
研究结果表明,固定效应和空间效应都与新生儿死亡率有关。
因此,我们的研究表明,降低新生儿死亡率的挑战不仅需要解决个人因素,还需要了解潜在的有效干预措施的未测量协变量。