Ecob R, Robertson C, Watt G
MRC Medical Sociology Unit, Glasgow University.
J Epidemiol Community Health. 1997 Oct;51(5):502-9. doi: 10.1136/jech.51.5.502.
To examine changes in regional variance in all cause mortality rates in Great Britain from 1931-91 using formal statistical modelling procedures, and to follow up the suggestion by Illsley and Le Grand that there has been a reduction over time in the regional variance in younger but not older age groups.
DESIGN, SETTING, AND PARTICIPANTS: Data were the age and sex specific death rates around each census from 1931-91 for the British regions, reconstructed to make them comparable with the 1981 regional definitions. Regional variance was modelled using bootstrap simulation tests and by age-period and age-cohort models.
While there was some evidence of a decline and levelling off of the regional variance over time in older age groups (over 35), the decline in younger age groups was more marked. This broadly confirms previous findings. Parametrising the period effect into linear and quadratic components, with allowance for an increase in regional variance in the war years, gave broadly comparable fit to the data as a model with period as a factor. Models for the changes in regional variance which were based on period effects seemed to provide a better description of the observed variances than those based on birth cohort effects. In the younger (but not older) groups there was evidence of a rise in the regional variance between 1981 and 1991.
The decline in regional variance is larger in younger than in older age groups when allowance is made for the increase in regional variance over the war years. Statistical modelling can provide insights into the data which are not always detected by descriptive analyses. Moreover, they provide a capacity for generalisation beyond the particular data; relationships found can form the basis for studies of replicability, for example, in other countries.
运用正式的统计建模程序,研究1931年至1991年英国全因死亡率的地区差异变化,并追踪伊利斯利和勒格朗德提出的观点,即随着时间推移,较年轻年龄组的地区差异有所减少,而较年长年龄组则没有。
设计、背景和参与者:数据为1931年至1991年英国各地区每次人口普查时按年龄和性别划分的死亡率,重新构建后使其与1981年的地区定义具有可比性。使用自助模拟检验以及年龄-时期和年龄-队列模型对地区差异进行建模。
虽然有证据表明,年龄较大组(35岁以上)的地区差异随时间有所下降并趋于平稳,但较年轻年龄组的下降更为明显。这大致证实了先前的研究结果。将时期效应参数化为线性和二次成分,并考虑到战争年代地区差异的增加,得到的模型与以时期为因素的模型对数据的拟合程度大致相当。基于时期效应的地区差异变化模型似乎比基于出生队列效应的模型能更好地描述观察到的差异。在较年轻(而非较年长)组中,有证据表明1981年至1991年期间地区差异有所上升。
考虑到战争年代地区差异的增加,较年轻年龄组的地区差异下降幅度大于较年长年龄组。统计建模能够揭示描述性分析不一定能发现的数据特征。此外,它们还具有超越特定数据进行概括的能力;所发现的关系可为可重复性研究(例如在其他国家)奠定基础。