Departments of Biostatistics.
AbbVIE Pharmaceuticals, Chicago, IL.
Alzheimer Dis Assoc Disord. 2019 Oct-Dec;33(4):291-298. doi: 10.1097/WAD.0000000000000346.
Linear models cannot capture nonlinear associations when the relationships between cognition and risk factors vary across risk levels. We demonstrate a method of modelling nonlinear associations using the example of blood pressure (BP) and memory.
We measured memory and BP (in mm Hg) annually for 10 years in a population-based cohort (N=1982) aged 65+. We evaluated the relationship between BP and memory at the same time points using both linear mixed models and generalized additive mixed models with smoothing splines, adjusting for relevant covariates.
Linear mixed models found no significant associations. Generalized additive mixed models detected different associations between BP and memory across baseline BP categories (normotensive, hypertensive, hypotensive). Among normotensives, systolic blood pressure (SBP)/diastolic blood pressure (DBP) around 140/80 was associated with the highest, while SBP/DBP around 110/60 was associated with the lowest, predicted memory scores. Among hypertensives, SBP/DBP around 130/85 was associated with the highest, while SBP/DBP around 150/65 was associated with the lowest, predicted memory scores. Among hypotensives, no significant association was found. Among both normotensives and hypertensives, a DBP >75 was associated with better memory.
By modelling nonlinear associations, we showed that the relationship between BP and memory performance varied by baseline BP among normotensives and hypertensives.
当认知与风险因素之间的关系因风险水平而异时,线性模型无法捕捉非线性关联。我们以血压(BP)和记忆为例,展示了一种建模非线性关联的方法。
我们在一个基于人群的队列(N=1982)中,对年龄在 65 岁及以上的人群进行了 10 年的年度记忆和血压(以毫米汞柱为单位)测量。我们使用线性混合模型和广义加性混合模型(带有平滑样条),同时调整了相关协变量,评估了同一时间点血压和记忆之间的关系。
线性混合模型未发现显著关联。广义加性混合模型在基线血压类别(正常血压、高血压、低血压)之间检测到血压和记忆之间的不同关联。在正常血压者中,收缩压(SBP)/舒张压(DBP)约为 140/80 与最高的预测记忆评分相关,而 SBP/DBP 约为 110/60 与最低的预测记忆评分相关。在高血压者中,SBP/DBP 约为 130/85 与最高的预测记忆评分相关,而 SBP/DBP 约为 150/65 与最低的预测记忆评分相关。在低血压者中,未发现显著关联。在正常血压者和高血压者中,DBP>75 与更好的记忆相关。
通过建模非线性关联,我们表明,在正常血压者和高血压者中,血压与记忆表现之间的关系因基线血压而异。