用视觉模型自动分析残差图,提升诊断效率与一致性。
Automated Assessment of Residual Plots with Computer Vision Models
- 用计算机视觉模型量化残差分布与参考分布的差异
- 在模拟实验中敏感度优于人工判断,略逊于线性模式检测
- 适合需要批量诊断回归模型假设的研究者使用
绘制残差图是诊断线性模型假设(如非线性、异方差性、非正态性)的推荐方法。通过行列协议进行视觉推断可检测残差图中的结构,相比传统检验方法更具普适性且对偏离更不敏感。然而该方法依赖人工判断,难以规模化。本文提出一种基于计算机视觉的自动化残差图评估方案,模型通过Kullback-Leibler散度学习预测残差分布与参考分布间的距离。大量模拟实验表明,该模型敏感度低于传统检验但高于人类视觉判断,对非线性模式略显不足。多个经典与现代数据案例验证了新方法在自动化诊断中的实用性,可补充现有手段。
原文摘要 · Abstract (English)
Plotting the residuals is a recommended procedure to diagnose deviations from linear model assumptions, such as non-linearity, heteroscedasticity, and non-normality. The presence of structure in residual plots can be tested using the lineup protocol to do visual inference. There are a variety of conventional residual tests, but the lineup protocol, used as a statistical test, performs better for diagnostic purposes because it is less sensitive and applies more broadly to different types of departures. However, the lineup protocol relies on human judgment which limits its scalability. This work presents a solution by providing a computer vision model to automate the assessment of residual plots. It is trained to predict a distance measure that quantifies the disparity between the residual distribution of a fitted classical normal linear regression model and the reference distribution, based on Kullback-Leibler divergence. From extensive simulation studies, the computer vision model exhibits lower sensitivity than conventional tests but higher sensitivity than human visual tests. It is slightly less effective on non-linearity patterns. Several examples from classical papers and contemporary data illustrate the new procedures, highlighting its usefulness in automating the diagnostic process and supplementing existing methods.
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