Department of Mathematics and Statistics, University of Guelph, 50 Stone Road East, Guelph, N1G 2W1 Canada.
Department of Epidemiology Dalla Lana School of Public Health, University of Toronto, 155 College St., Toronto, M5T 3M7.
Int J Bipolar Disord. 2015 Feb 24;3:5. doi: 10.1186/s40345-014-0019-4. eCollection 2015.
It has been proposed that bipolar disorder onsets in a predictable progressive sequence of clinical stages. However, there is some debate in regard to a statistical approach to test this hypothesis. The objective of this paper is to investigate two different analysis strategies to determine the best suited model to assess the longitudinal progression of clinical stages in the development of bipolar disorder.
Data previously collected on 229 subjects at high risk of developing bipolar disorder were used for the statistical analysis. We investigate two statistical approaches for analyzing the relationship between the proposed stages of bipolar disorder: 1) the early stages are considered as time-varying covariates affecting the hazard of bipolar disorder in a Cox proportional hazards model, 2) the early stages are explicitly modelled as states in a non-parametric multi-state model.
We found from the Cox model thatthere was evidence that the hazard of bipolar disorder is increased by the onset of major depressive disorder. From the multi-state model, in high-risk offspring the probability of bipolar disorder by age 29 was estimated as 0.2321. Cumulative incidence functions representing the probability of bipolar disorder given major depressive disorder at or before age 18 were estimated using both approaches and found to be similar.
Both the Cox model and multi-state model are useful approaches to the modelling of antecedent risk syndromes. They lead to similar cumulative incidence functions but otherwise each method offers a different advantage.
有人提出,双相情感障碍的发作是按照可预测的临床阶段的渐进顺序进行的。然而,在统计学方法上存在一些争议,用于检验这一假设。本文的目的是探讨两种不同的分析策略,以确定最合适的模型来评估双相情感障碍发展过程中的临床阶段的纵向进展。
本研究使用了先前收集的 229 名处于双相情感障碍高发风险的受试者的数据进行统计分析。我们调查了两种统计方法来分析所提出的双相情感障碍阶段之间的关系:1)早期阶段被视为随时间变化的协变量,影响 Cox 比例风险模型中双相情感障碍的风险;2)早期阶段被明确建模为非参数多状态模型中的状态。
我们从 Cox 模型中发现,有证据表明,重度抑郁症的发作增加了双相情感障碍的风险。从多状态模型来看,在高危后代中,29 岁时双相情感障碍的概率估计为 0.2321。使用这两种方法都估计了表示在 18 岁或之前出现重度抑郁症时双相情感障碍的概率的累积发生率函数,发现它们是相似的。
Cox 模型和多状态模型都是对前驱风险综合征进行建模的有用方法。它们导致相似的累积发生率函数,但每种方法都有不同的优势。