| Summary: | 碩士 === 國立高雄師範大學 === 數學系 === 96 === Abstract
Residuals play an important role in the linear model. We can use residuals to detect model’s inadequacies and outliers. In the special cases of nested and split-plot designs, residuals form the identical equal pairs. Then we cannot use residuals to distinguish which point is an outlier from the model. In general, there are many measures to detect the outlier such as DFFITS, Cook’s distance, DFBETAS, Dixon’s test, Grubbs’ test, etc. Since these measures still form the equal pairs, we are unable to solve the problem with the existing methods.
In this article, we discuss that the residuals form the identical equal pairs in the special cases of the nested and split-plot designs, and provide a way to solve this problem.
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