4.4 Multivariate Analyses

4.4.1 Multivariate Inliers and Outliers

In statistics, most of us are familiar with the term “outlier.” Merriam-Webster defines outlier as “a statistical observation that is markedly different in value from the others of the sample.” In a box plot, an outlier may be identified as a point that exceeds 1.5 times the interquartile range (the distance between first and third quartiles) beyond the first or third quartiles. On the other hand, an “inlier” is a value that lies close to the mean. In a univariate setting, a value close to the mean would not raise any eyebrows; in fact, this is entirely expected. However, as Evans points out, it would be unlikely for an observation to lie near the mean for a large number of variables ...

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