Rejecting Outliers by Maximum Modified Normed Residual

One may be particularly interested in identifying which are the genuinely exceptional observations, in order to create a new insight into the phenomena under study. To detect outliers, many statistics have been proposed such as the maximum normed residual (MNR), a statistic equivalent to the maximum normed residual C. Daniel proposed, studentized residual, standardized residual, and so on. This paper gives a procedure for calculating critical values of the maximum modified normed residual and the distribution of the modified normed residual.