“Quartile coefficient of dispersion”的意思、由来-开放百科全书

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Quartile coefficient of dispersion

释义

Example
See also
References

In statistics, the quartile coefficient of dispersion is a descriptive statistic which measures dispersion and which is used to make comparisons within and between data sets.

The statistic is easily computed using the first (Q₁) and third (Q₃) quartiles for each data set. The quartile coefficient of dispersion is:^[1]

Example

Consider the following two data sets:

A = {2, 4, 6, 8, 10, 12, 14}

n = 7, range = 12, mean = 8, median = 8, Q₁ = 4, Q₃ = 12, coefficient of dispersion = 0.5

B = {1.8, 2, 2.1, 2.4, 2.6, 2.9, 3}

n = 7, range = 1.2, mean = 2.4, median = 2.4, Q₁ = 2, Q₃ = 2.9, coefficient of dispersion = 0.18

The quartile coefficient of dispersion of data set A is 2.7 times as great (0.5 / 0.18) as that of data set B.

References

1. ^{{Cite journal | last1 = Bonett | first1 = D. G. | title = Confidence interval for a coefficient of quartile variation | doi = 10.1016/j.csda.2005.05.007 | journal = Computational Statistics & Data Analysis | volume = 50 | issue = 11 | pages = 2953–2957 | year = 2006 | pmid = | pmc = }}

2 : Statistical deviation and dispersion|Statistical ratios

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Example

See also

References