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오광식,박외정 대구효성가톨릭대학교 자연과학연구소 1994 基礎科學硏究論集 Vol.1994 No.1
In regression diagnostics, a number of outlier measures based on various statisti-cal tools have been discussed. These measures usually pay attantion to detecting individual outlier. However, there exists a situation in which observations are mul-tiple but not individual outliers or the other way about. The situation is refered to as a masking effect which means that the outlier of one observation is masked by the presence of another observation. The multiple outlier is often overlooked be-cause it is much more difficult to detect than the individual outliers. We propose a new expression of John and Draper's outlier sum of square. The advantages from the theroretical point of view are that the expression is based not only on the mutiple case but also on the single case, and that we can detect multiple outliers with the masking effect by investigating the difference between the multiple outliers and sum of the individual outliers. Furthermore we suggest a search method for multiple outliers after investigating some properties of the new expression.
오광식,박외정 대구효성가톨릭대학교 1994 연구논문집 Vol.49 No.1
In regression diagnostics, a number of outlier measures based on various statistical tools have been discussed. These measures usually pay·attention to dectecting individual outlier. However, there exists a situation in which observations are multiple but not individual outliers or the other way about, The situation is revered to as a masking effect which means that the outlier of one observation is masked by the presence of another observation. The multiple outlier is often overlooked because it is much more difficult to detect than the individual outliers. We propose a new expression of John and Draper's outlier sum of square. The advantages from the theoretical point of view are that the expression is based not only on the multiple case but also on the single case, and that we can detect multiple outliers with the masking effect by investigating the difference between the multiple outliers and sum of the individual outliers. Furthermore we suggest a search method for multiple outliers after investigating some properties of the new expression. .