Outliers in Multi-Response Experiments

Lalmohan Bhar and Sankalpa Ojha

Communications in Statistics - Theory and Methods, 2014, vol. 43, issue 13, 2782-2798

Abstract: Cook-statistic has been developed for detecting outliers in two likely situations of occurrence of outliers in multi-response experiments. In the first situation, more than one outlying observations vector has been considered. Each of these vectors is obtained on the assumption that a particular observation from each of the responses is an outlier. A general expression of Cook-statistic for detecting any such t outlying observations vectors has been obtained. Then some particular cases have been considered. In the second case a situation is considered where observations from all the responses may not be outliers. Here also a general expression of Cook-statistic is obtained for detecting any t observations from each of any k responses as outliers. In both the cases Cook-statistic is applied to real experimental data.

Date: 2014
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DOI: 10.1080/03610926.2012.683127

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