Coefficient of Variation


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coefficient of variation

[¦kō·ə′fish·ənt əv ‚ver·ē′ā·shən]
(statistics)
The ratio of the standard deviation of a distribution to its arithmetic mean.

Coefficient of Variation

 

the ratio of the quadratic deviation to the average value. In variational statistics the difference of any set of positive numbers x1,... ,xn from their arithmetic average x¯ = (x1 +... xn)/n is characterized by the standard deviation

A relative characteristic of such “scatter” is the coefficient of variation s/x¯. In probability theory and mathematical statistics the coefficient of variation of a positive random quantity X is defined as the ratio σ/a, where a = EX is the mathematical expectation, and σ2 = DX = E(X -a)2 is the dispersion. If X is the result of the measurement of some unknown positive constant a = EX, then the coefficient of variation is a natural characteristic of the relative error of measurement.

coefficient of variation

The standard deviation expressed as a percentage of the average.
References in periodicals archive ?
For international comparison, the squared coefficient of variation for per capita local expenditures in Russia is three times higher than in China (Tsui, 2005) and 10 times higher than in the United States (Martinez-Vazquez and Timofeev, 2010).
The capacity degradation was related to the coefficient of variation of maldistribution, which was a function of inlet conditions and header geometry.
Figure 5 presents kernel-smoothed means of the average and coefficient of variation of the respondent-specific replacement rate distributions, by education and age.
Coefficient of variation (CV) is defined as the ratio of the standard deviation to the mean (national GDP per capita):
The coefficient of variation of Alberta's real per capita corporate tax revenues for the period from 1981 to 2007 is 24.
The mean, standard deviation, variance and coefficient of variation for the upper and lower part of the township are depicted in Table 3.
Coefficient of variation of projection of a flat object into n directions of line grids in [R.
The coefficient of variation was calculated according to equation (2):
95 and coefficient of variation of deprivation increased from 0.
Consequently, the coefficient of variation is also reduced from 0.
A unique aspect of the new compact Pegasus[R] Mixer is that it operates with an unusually precise coefficient of variation (2-3%), making it possible to realize an extremely homogeneous end result and a very high end quality.

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