Brooks J O, Kraemer H C, Tanke E D, Yesavage J A
Department of Psychiatry and Behavioral Sciences, Stanford University School of Medicine, CA 94305-5490.
J Am Geriatr Soc. 1993 Jun;41(6):623-8. doi: 10.1111/j.1532-5415.1993.tb06734.x.
To present a new model for analyzing longitudinal data. The trilinear model is superior to the commonly used linear model that includes the flawed assumption that decline is uniform throughout the course of disease--an assumption that does not correspond to clinical observations.
A longitudinal cohort sample was used to compare the linear and trilinear models. Simulated longitudinal data were generated to assess classification errors with the trilinear model.
The subjects were 80 patients with Alzheimer's disease tested in a hospital out-patient clinic.
The trilinear model describes Alzheimer's disease as proceeding through three periods: An initial period of stability before detectable decline, a period of decline, and a final period of stability during which there is no further detectable decline. A program for the Apple Macintosh computer is available at no charge to apply the model to data.
The analyses indicated that the trilinear model provides a better reflection of decline in Alzheimer's disease than does the linear model. This advantage is present whether the periods of stability reflect a "true" lack of decline or insensitivity of a measurement instrument.
The trilinear model provides not only a more accurate estimate of the average rate of change, but also (when possible) estimates of the point at which decline begins and ends. Also, more detailed comparisons of tests could be made by using the trilinear parameters. The trilinear model would benefit researchers engaged in longitudinal research of progressive disorders.
提出一种用于分析纵向数据的新模型。三线性模型优于常用的线性模型,后者包含一个有缺陷的假设,即疾病全过程中的衰退是均匀的——这一假设与临床观察结果不符。
采用纵向队列样本比较线性模型和三线性模型。生成模拟纵向数据以评估三线性模型的分类误差。
研究对象为80名在医院门诊接受测试的阿尔茨海默病患者。
三线性模型将阿尔茨海默病描述为经历三个阶段:可检测到衰退之前的初始稳定期、衰退期以及不再有进一步可检测到衰退的最终稳定期。有一个适用于苹果麦金塔电脑的程序可免费用于将该模型应用于数据。
分析表明,三线性模型比线性模型能更好地反映阿尔茨海默病的衰退情况。无论稳定期是反映“真正”的无衰退还是测量工具的不敏感,这一优势都存在。
三线性模型不仅能更准确地估计平均变化率,还能(在可能的情况下)估计衰退开始和结束的时间点。此外,使用三线性参数可以对测试进行更详细的比较。三线性模型将使从事进行性疾病纵向研究的研究人员受益。