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引用次数: 0
摘要
临床前研究的范围很广,可以包括细胞研究、动物试验和小型人体试验。临床前研究往往是探索性的,数据集较小,通常由生物标记物数据组成。逻辑回归通常是二元结果建模的首选模型,其解释变量包括基因、成像和临床数据。小型临床前研究的数据可能具有挑战性,其中可能包括完全分离或准完全分离问题,这将导致逻辑回归膨胀的系数估计值和标准误差。Firth逻辑回归等惩罚回归方法是减少估计值偏差的一种解决方案。本教程将举例说明一些分离(完全或准完全)的例子,并对逻辑回归和 Firth 逻辑回归的结果进行比较,以展示标准逻辑回归模型的估计值膨胀和 Firth 惩罚回归方法的估计值偏差减小。附录中提供了 R 代码和数据集。
Tutorial on Firth's Logistic Regression Models for Biomarkers in Preclinical Space.
Preclinical studies are broad and can encompass cellular research, animal trials, and small human trials. Preclinical studies tend to be exploratory and have smaller datasets that often consist of biomarker data. Logistic regression is typically the model of choice for modeling a binary outcome with explanatory variables such as genetic, imaging, and clinical data. Small preclinical studies can have challenging data that may include a complete separation or quasi-complete separation issue that will result in logistic regression inflated coefficient estimates and standard errors. Penalized regression approaches such as Firth's logistic regression are a solution to reduce the bias in the estimates. In this tutorial, a number of examples with separation (complete or quasi-complete) are illustrated and the results from both logistic regression and Firth's logistic regression are compared to demonstrate the inflated estimates from the standard logistic regression model and bias-reduction of the estimates from the penalized Firth's approach. R code and datasets are provided in the supplement.
期刊介绍:
Pharmaceutical Statistics is an industry-led initiative, tackling real problems in statistical applications. The Journal publishes papers that share experiences in the practical application of statistics within the pharmaceutical industry. It covers all aspects of pharmaceutical statistical applications from discovery, through pre-clinical development, clinical development, post-marketing surveillance, consumer health, production, epidemiology, and health economics.
The Journal is both international and multidisciplinary. It includes high quality practical papers, case studies and review papers.