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http://dx.doi.org/10.7465/jkdi.2014.25.2.305

A linearity test statistic in a simple linear regression  

Park, Chun Gun (Department of Mathematics, Kyonggi University)
Lee, Kyeong Eun (Department of Statistics, Kyungpook National University)
Publication Information
Journal of the Korean Data and Information Science Society / v.25, no.2, 2014 , pp. 305-315 More about this Journal
Abstract
In a simple linear regression, a linear relationship between an explanatory variable and a response variable can be easily recognized in the scatter plot of them. The lack of fit test for the replicated data is commonly used for testing the linearity but it is not easy to test the linearity when the explanatory variable is not replicated. In this paper, we propose three new test statistics for testing the linearity regardless of replication using the principle of average slope and validate them through several simulations and empirical studies.
Keywords
Average slope; lack of fit test; simple linear regression;
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Times Cited By KSCI : 3  (Citation Analysis)
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