A Study of Disability Across Districts of the Province of Wielkopolska Using Small Area Estimation Methods

Tomasz Klimanek, M. Szymkowiak, Tomasz Józefowski
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Abstract

Surveys and censuses conducted by the Central Statistical Office in Poland are the main sources of information about disability for official statistics. Because sample sizes for relevant cross-classification domains are too small to employ classical estimation methods, results are usually published at a relatively high level of aggregation (at country or province level) or for very broadly defined domains. To meet the growing demand for detailed information about disability, the authors present an attempt of applying the methodology of small area estimation to estimate the percentage of disabled people, in the legal and biological sense, across districts (NUTS 4/LAU 1 units) of the province of Wielkopolska crossclassified by the level of education. This methodological exercise is based on data from the 2011 census and employs selected techniques of indirect estimation. Estimates obtained in the study provide an indication of the spatial variation of disability in the target domains with greater precision. It is worth noting that this level of aggregation has not been considered for purposes of official statistical outputs because of unacceptably high estimation errors of the direct estimator.
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基于小面积估算方法的大波兰省各区残疾状况研究
波兰中央统计局进行的调查和人口普查是官方统计中关于残疾的主要资料来源。由于相关交叉分类领域的样本量太小,无法使用经典的估计方法,结果通常在相对较高的聚集水平(在国家或省一级)或非常广泛定义的领域发布。为了满足日益增长的对残疾详细资料的需求,作者提出了一项尝试,采用小区域估计方法,在法律和生物学意义上估计大波兰省各区(NUTS 4/LAU 1单位)按教育水平交叉分类的残疾人百分比。这一方法是基于2011年人口普查的数据,并采用了一些间接估计的技术。研究中获得的估计值以更高的精度表明了目标领域中残疾的空间变化。值得注意的是,由于直接估计器的估计误差高得令人无法接受,因此官方统计产出的目的没有考虑到这种汇总水平。
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