步进和变化应力下加速寿命试验的残差及其分析

ood ratio）似然比 RES (residual) 残差 DOE (design of experiments) 实验设计 ANOVA (analysis of variance) 方差分析 毕业设计（英文翻译）英文原文：Residuals and Their Analyses for Accelerated Life Tests With Step and Varying Stress 本文主要研究的是在步进和变化应力下加速寿命试验中产生的残差及其分析。残差分析是一种用来评估回归模型的有效方法，可以发现异常数据点，并揭示其他变量的效果。对于加速寿命试验这样的数据，合适的残差分析需要结合步进和变应力的测试数据，本文定义了新的合适残差，并通过图形和数值分析来解释这些数据的产生过程。这项研究对于工程师们在进行测试结果评估时更加准确和可靠具有一定的指导意义。 本文首先简要介绍了加速测试的背景和残差分析的基本概念，然后针对步进和变应力下加速寿命试验的数据，提出了一种新的残差定义方法。接着，通过具体的图形和数值分析，展示了这种残差是如何产生的，并且分析了其对回归模型的影响。最后，本文总结了这项研究的意义和对工程实践的启示，希望能够为工程师们在加速寿命试验中的残差分析提供一些新的思路和方法。 关键词：加速测试，残差分析，步进和变应力，工程实践 Abstract This paper focuses on the residuals and their analyses for accelerated life tests with step and varying stress. Residual analysis is an effective method for evaluating regression models, identifying outlier data points, and revealing the effects of other variables. For data from accelerated life tests, appropriate residual analysis requires the combination of step and varying stress test data. In this paper, a new type of appropriate residuals is defined, and the generation of these residuals is explained through graphical and numerical analysis. This research provides guidance for engineers to more accurately and reliably evaluate test results. The paper begins by briefly introducing the background of accelerated testing and the basic concepts of residual analysis. Then, for the data from accelerated life tests with step and varying stress, a new method for defining residuals is proposed. Subsequently, through specific graphical and numerical analysis, the generation of these residuals and their impact on the regression model are demonstrated. Finally, the paper summarizes the significance of this research and its implications for engineering practice, hoping to provide engineers with new ideas and methods for residual analysis in accelerated life tests. Keywords: accelerated testing, residual analysis, step and varying stress, engineering practice