Showing papers on "Bonferroni correction published in 1972"
TL;DR: One-sided and two-sided test statistics for detecting a single outlier are proposed in this paper, where Bonferroni and other inequalities are used to obtain upper and lower limits for the true upper percentage points.
Abstract: SUMMARY The problem of detecting a single outlier in a linear regression model is considered. Results of Srikantan (1961), David & Paulson (1965) and Doornbos (1966) are unified and extended. The various cases considered are: (i) known variance, (ii) external studentization, and (iii) pooled studentization. One-sided and two-sided test statistics for detecting a single outlier are proposed. These statistics are maxima of suitably standardized or studentized weighted residuals. Bonferroni and other inequalities are used to obtain upper and lower limits for the true upper percentage points of the proposed statistics. Some appropriate measures of performance are introduced and studied.
19 citations