Newman–Keuls method

In statistics, the Newman–Keuls method (named after D. Newman (1939),^[1] and M. Keuls (1952)^[2]) is a post-hoc test used for comparisons after the performed F-test (analysis of variance) is found to be significant. The Newman–Keuls method is very similar to Tukey's HSD post-hoc 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,

$q(\alpha, k-1, v)\cdot \sqrt{\frac{\text{mean square error}}{n}}$

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

• Post-hoc analysis

References

1. ^ 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/31.1-2.20. 
2. ^ 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 Newman-Keuls Multiple Comparison Technique", Annual Meeting of the American Educational Research Association (Washington, D. C., March 30-April 3, 1975)

This statistics-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Multiple comparisons Analysis of variance Statistics stubs Wikimedia Foundation. 2010. Игры ⚽ Поможем написать курсовую Girvan–Newman algorithm Newman–Kwart rearrangement Look at other dictionaries: Duncan's new multiple range test — In statistics, Duncan s new multiple range test (MRT) is a multiple comparison procedure developed by David B. Duncan in 1955. Duncan s MRT belongs to the general class of multiple comparison procedures that use the studentized range statistic qr …   Wikipedia Multiple comparisons — In statistics, the multiple comparisons or multiple testing problem occurs when one considers a set of statistical inferences simultaneously.[1] Errors in inference, including confidence intervals that fail to include their corresponding… …   Wikipedia 18+ © Academic, 2000-2024 Contact us: Technical Support, Advertising Dictionaries export, created on PHP, Joomla, Drupal, WordPress, MODx. Mark and share Search through all dictionaries Translate… Search Internet Share the article and excerpts Direct link … Do a right-click on the link above and select “Copy Link”