This post hoc test can be used to determine the significant differences between group means in an analysis of variance setting. The Newman-Keuls test, like
Duncan's test, is based on the range statistic (for a detailed discussion of different post hoc tests, see Winer, 1985, pp.140-197). For more details, see the
General Linear Models chapter. See also,
Post Hoc Comparisons. For a discussion of statistical significance, see
Elementary Concepts.