Piecewise Constant Cross-Ratio Estimation for Association of Age at a Marker Event and Age at Menopause
标志事件年龄与绝经年龄关联的分段常数交叉比估计AI 解读 ↓
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AI 根据所提供的论文材料归类：摘要研究生存事件年龄的统计关联，未明确涉及所列因果推断或分布效应研究。
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标志事件年龄与绝经年龄关联的分段常数交叉比估计
- 研究问题
- 标志性出血事件发生年龄与绝经年龄如何关联，且两者均可能右删失、关联随标志事件年龄变化时如何估计？
- 方法与思路
- 作者假定交叉比随标志事件年龄呈分段常数，提出直接和序贯两阶段估计，并将后者扩展为边际生存函数含协变量。
- 材料陈述的贡献
- 摘要提出处理年龄相关依赖与双重右删失的两种程序，并报告 Tremin Trust 队列应用及模拟性能评估。
- 阅读关注点
- 应核对交叉比的定义、年龄分段规则、两阶段程序的差异、删失条件，以及协变量进入边际生存函数的方式。
- 阅读边界
- 仅据 OpenAlex 索引摘要，稿件版本未注明；摘要未给出关联估计或模拟结果，不能判断出血标准的有效性或因果意义。
原文摘要
A question of significant interest in female reproductive aging is to identify bleeding criteria for menopausal transition. Although various bleeding criteria, or markers, have been proposed for menopausal transition, their validity has not been adequately examined. The Tremin Trust data were collected from a long-term cohort study that followed a group of women throughout their whole reproductive life. Such data provide a unique opportunity for evaluating the utility of a bleeding criterion-based marker event by assessing the association between age at onset of the bleeding marker and age at onset of menopause. Formal statistical analysis of this dependence is challenged by the facts that both the marker event and menopause are subject to right-censoring and that their association depends on age at the marker event. We propose using the cross-ratio to measure their dependence by assuming the cross-ratio to be a piecewise constant function of age at onset of the marker event. We propose two estimation procedures, the direct two-stage method and the sequential two-stage method, extending the latter to allow for covariates in marginal survival functions. We apply the proposed methods to the analysis of the Tremin Trust data and evaluate their performance using simulations.