Gilthorpe M S, Griffiths G S, Maddick I H, Zamzuri A T
Biostatistics Unit, Eastman Dental Institute for Oral Health Care Sciences, University College London, UK.
Community Dent Health. 2001 Jun;18(2):79-86.
To introduce the concepts of random coefficient multilevel models through an application to periodontal research data.
Multilevel models with random coefficients are illustrated using periodontal data that comprise four levels: repeated measurements at level-1, sites at level-2, teeth at level-3, and subjects at level-4. The study explores random coefficient models--where random variation occurs about explanatory variable coefficients. Outcomes considered are lifetime cumulative attachment loss and pocket probing depth.
The study data were taken from a survey of periodontal disease involving 100 white male trainee engineers aged between 16 and 20 entering the apprentice training school at the Royal Air Force-Halton, UK.
The application of multilevel modelling to longitudinal data provides a new way of exploring old problems. The multilevel random coefficient models provide an opportunity to examine the 'linear' and 'burst' theories of periodontal disease progression, leading to the postulation that both can be unified within the multilevel framework.
The multilevel methodology illustrates how advances in the understanding of oral health can be achieved with the advent of new statistical methods
通过应用于牙周研究数据来介绍随机系数多级模型的概念。
使用包含四个层次的牙周数据来说明具有随机系数的多级模型,这四个层次分别为:第一层次的重复测量、第二层次的部位、第三层次的牙齿以及第四层次的受试者。该研究探索随机系数模型——即解释变量系数存在随机变异的模型。所考虑的结果是终生累积附着丧失和牙周袋探诊深度。
研究数据取自一项牙周疾病调查,该调查涉及100名年龄在16至20岁之间进入英国皇家空军哈尔顿学徒培训学校的白人男性实习工程师。
将多级建模应用于纵向数据为探索老问题提供了一种新方法。多级随机系数模型提供了一个机会来检验牙周疾病进展的“线性”和“突发”理论,从而得出这两种理论可以在多级框架内统一的假设。
多级方法说明了随着新统计方法的出现,如何在口腔健康理解方面取得进展。