 Newman–Keuls method

In statistics, the Newman–Keuls method (named after D. Newman (1939),^{[1]} and M. Keuls (1952)^{[2]}) is a posthoc test used for comparisons after the performed Ftest (analysis of variance) is found to be significant. The Newman–Keuls method is very similar to Tukey's HSD posthoc test, except that it analyzes the differences in terms of layers.
For layer one, the test gives the same result as would be obtained using Tukey's HSD test. For layer two, use HSD,
instead of q(a, k, v), where k represents the number of group means being compared, q represents the according value from the studentized range, n is the number of groups, and v is the degrees of freedom. (See mean squared error.) Thus for layer three, we would have HSD, q(a, k − 2, v), and so on. Studentized range values can often be found from reference tables, and MS error is found from the original analysis of variance results (ANOVA).
See also
References
 ^ Newman D (1939). "The distribution of range in samples from a normal population, expressed in terms of an independent estimate of standard deviation". Biometrika 31 (1): 20–30. doi:10.1093/biomet/31.12.20.
 ^ Keuls M (1952). "The use of the “studentized range” in connection with an analysis of variance". Euphytica 1: 112–122.
 James E. Carlson and Others (1975) "The Distribution of the Test Statistic Used in the NewmanKeuls Multiple Comparison Technique", Annual Meeting of the American Educational Research Association (Washington, D. C., March 30April 3, 1975)
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