多个线性回归系统的变形检验
Testing Multiple Linear Regression Systems with Metamorphic Testing
摘要：
回归是最常用的统计技术之一。然而，测试回归系统是一个巨大的挑战，因为缺乏测试预言一般。在本文中，我们表明，变形测试是一种有效的方法来测试多个线性回归系统。在此过程中，我们确定内在的数学性质的线性回归，然后提出11个变形关系用于测试。他们的有效性进行检查，使用突变分析与一系列不同的回归程序。我们进一步研究如何以更有效的方式采用测试。我们的工作是适用于检查预测系统的可靠性的基础上回归，已被广泛应用于经济，工程和科学，以及统计用户操纵的回归计算。
英文摘要：
Regression is one of the most commonly used statistical techniques. However, testing regression systems is a great challenge because of the absence of test oracle in general. In this paper, we show that Metamorphic Testing is an effective approach to test multiple linear regression systems. In doing so, we identify intrinsic mathematical properties of linear regression, and then propose 11 Metamorphic Relations to be used for testing. Their effectiveness is examined using mutation analysis with a range of different regression programs. We further look at how the testing could be adopted in a more effective way. Our work is applicable to examine the reliability of predictive systems based on regression that has been widely used in economics, engineering and science, as well as of the regression calculation manipulated by statistical users.
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