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受控条件下逻辑回归模型的数据生成

Data generation for the logistic regression model under controlled conditions

Kabiru Abubakari, Silvia Liverani

arXiv 2610.12381首次发表:更新:

AI 中文总结

针对受控条件下逻辑回归模型数据生成的难题,提出集成迭代二分算法,可确定截距与回归系数以生成指定患病率和预测准确率的数据,经模拟验证性能,且需考虑参数选择与预测准确率的关系用于模型评估数据生成。

AI 中文摘要

在受控条件下生成具有所需特性的逻辑回归模型数据颇具挑战性。我们提出一种集成迭代二分算法,该算法可确定截距与回归系数的值,从而生成具有指定患病率和预测准确率的数据。通过模拟研究验证了所提方法的性能。我们进一步表明,参数值的选择,或在贝叶斯设定下这些参数先验的选择,会诱导出特定水平的预测准确率。因此,在受控条件下生成用于模型评估的数据时,应考虑这种关系。

英文摘要

Generating data with desired properties for a logistic regression model under controlled conditions is challenging. We propose an integrated iterative bisection algorithm that determines values of the intercept and regression coefficients capable of generating data with a specified prevalence and predictive accuracy. The performance of the proposed method is demonstrated through simulation studies. We further show that the choice of parameter values, or, in a Bayesian setting, the choice of priors for these parameters, induces a particular level of predictive accuracy. This relationship should therefore be taken into account when generating data for model evaluation under controlled conditions.

Comments15 pages, 6 figures

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