There has been increasing interest in studying the effect of giving births to unintended pregnancies on later life physical and mental health. In this article, we provide the protocol for our planned observational study on the long-term mental and physical health consequences for mothers who bear children resulting from unintended pregnancies. We aim to use the data from the Wisconsin Longitudinal Study (WLS) and examine the effect of births from unintended pregnancies on a broad range of outcomes, including mental depression, psychological well-being, physical health, alcohol usage, and economic well-being. To strengthen our causal findings, we plan to address our research questions on two subgroups, Catholics and non-Catholics, and discover the "replicable" outcomes for which the effect of unintended pregnancy is negative (or, positive) in both subgroups. Following the idea of non-random cross-screening, the data will be split according to whether the woman is Catholic or not, and then one part of the data will be used to select the hypotheses and design the corresponding tests for the second part of the data. In past use of cross-screening (automatic cross-screening) there was only one team of investigators that dealt with both parts of the data so that the investigators would need to decide on an analysis plan before looking at the data. In this protocol, we describe plans to carry out a novel flexible cross-screening in which there will be two teams of investigators with access only to one part of data and each team will use their part of the data to decide how to plan the analysis for the second team's data. In addition to the above replicability analysis, we also discuss the plan to test the global null hypothesis that is intended to identify the outcomes which are affected by unintended pregnancy for at least one of the two subgroups of Catholics and non-Catholics.

翻译：近年来，关于非意愿妊娠分娩对母亲晚年身心健康影响的研究日益受到关注。本文旨在报告一项计划中的观察性研究方案，该研究将分析因非意愿妊娠而生育对母亲长期心理与身体健康的影响。我们将利用威斯康星纵向研究（Wisconsin Longitudinal Study, WLS）数据，考察非意愿妊娠分娩对一系列结局指标的影响，包括抑郁症状、心理健康水平、身体健康状况、饮酒行为及经济状况。为增强因果推断的可靠性，我们计划将研究对象分为天主教徒与非天主教徒两个亚组，并在这两个亚组中寻找"可重复"的结局指标——即非意愿妊娠效应在两个亚组中均呈负向（或正向）影响。遵循非随机交叉检验（non-random cross-screening）思路，数据将根据女性是否为天主教徒进行分组，其中一组数据用于筛选假设，另一组数据则用于设计相应的统计检验。在既往交叉检验（自动交叉检验）应用中，通常由单一研究团队处理两组数据，因此研究者需在查看数据前确定分析方案。本方案则提出了一种新型灵活交叉检验（flexible cross-screening）方法：由两个独立研究团队分别获取部分数据，每个团队利用其掌握的数据为另一团队的数据分析方案提供决策依据。除上述可重复性分析外，我们还探讨了全局零假设检验计划，旨在识别出在至少一个亚组（天主教徒或非天主教徒）中受非意愿妊娠影响的结局指标。