Interdecile range: Difference between revisions
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{{Short description|Statistical measure}} |
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In [[statistics]], the '''interdecile range''' is the difference between the first and the ninth [[decile]]s (10% and 90%). The interdecile range is a measure of [[statistical dispersion]] of the values in a set of data, similar to the [[range (statistics)|range]] and the [[interquartile range]], and can be computed from the (non-parametric) [[seven-number summary]]. |
In [[statistics]], the '''interdecile range''' is the difference between the first and the ninth [[decile]]s (10% and 90%). The interdecile range is a measure of [[statistical dispersion]] of the values in a set of data, similar to the [[range (statistics)|range]] and the [[interquartile range]], and can be computed from the (non-parametric) [[seven-number summary]]. |
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Latest revision as of 10:52, 21 October 2023
In statistics, the interdecile range is the difference between the first and the ninth deciles (10% and 90%). The interdecile range is a measure of statistical dispersion of the values in a set of data, similar to the range and the interquartile range, and can be computed from the (non-parametric) seven-number summary.
Despite its simplicity, the interdecile range of a sample drawn from a normal distribution can be divided by 2.56 to give a reasonably efficient estimator[citation needed] of the standard deviation of a normal distribution. This is derived from the fact that the lower (respectively upper) decile of a normal distribution with arbitrary variance is equal to the mean minus (respectively, plus) 1.28 times the standard deviation.
A more efficient estimator is given by instead taking the 7% trimmed range (the difference between the 7th and 93rd percentiles) and dividing by 3 (corresponding to 86% of the data falling within ±1.5 standard deviations of the mean in a normal distribution); this yields an estimator having about 65% efficiency.[1] Analogous measures of location are given by the median, midhinge, and trimean (or statistics based on nearby points).
See also
[edit]References
[edit] | This article needs additional citations for verification. (April 2013) |
- ^ Evans 1955, Appendix G: Inefficient statistics, pp. 902–904.
- Evans, Robley Dunglison (1955). The Atomic Nucleus. International series in pure and applied physics. McGraw-Hill. p. 972. ISBN 0-89874414-8.