# 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 ?
In order to consider a data as acceptable, the emitter would be required to have a coefficient of variation less than 15%.
In the forward-to-90 foot assay, the experiment group obtained an average of 9.9 [+ or -] 2.60 seconds in the initial test with a coefficient of variation of 12.221%, indicating a mean of homogeneity, and an average of 17.2 [+ or -] 5.67 seconds in the final test, with a coefficient of variation of 11.829%, the degree of homogeneity in final testing being increasing.
Coefficient of variation (%) Number of Q-Graders Total note Fragrance Flavor Balance Acidity 1 2.19 9.86 5.04 3.34 4.40 2 1.41 6.51 3.52 2.33 3.20 3 1.09 5.07 2.89 1.93 2.67 4 0.89 4.07 2.47 1.65 2.30 5 0.75 3.31 2.28 1.46 2.06 6 0.60 2.82 2.09 1.36 1.90 7 0.53 2.37 1.81 1.21 1.69 8 0.41 1.92 1.79 1.19 1.52 9 0.32 1.43 1.65 1.10 1.58 10 0.32 0.98 1.57 1.06 1.49 Coefficient of variation (%) Number of Q-Graders Body Sweetness Aftertaste 1 3.03 12.98 4.43 2 2.13 9.58 3.15 3 1.72 7.70 2.55 4 1.52 6.55 2.12 5 1.35 5.86 2.01 6 1.16 5.29 1.84 7 1.14 4.94 1.69 8 1.00 4.85 1.48 9 0.98 4.36 1.49 10 0.93 4.21 1.40 Table 2: Grouping of the different numbers of R-Graders and their respective coefficients of variation of the sensorial characteristics of Conilon coffee samples with the UCDA protocol.
The average wetted depth of inline is 12.58 cm with standard deviation of 1.51 cm and the coefficient of variation is 11.97 % and the average wetted depth of online is 13.73 cm with standard deviation of 1.72 cm and the coefficient of variation is 12.55 %.
In total, there was reported 54 scientific papers (7 from theses and 47 from dissertations) from 1991 to 2014 of which were obtained: category of the variable analyzed; coefficient of variation; general mean; standard deviation.
By calculating the coefficient of variation of the ultrasonic amplitude, the Rhenowave is very sensitive to the consistency of the rubber compound.
To explore the biological link between arbitrary two proteins, the analysis for the indicator TPC is implemented on these identified DNBs according to the coefficient of variation CV using the gene expression datasets, respectively, Figure 3 shows the change of the indicator TPC of a small part of the protein pairs from the DNBs from Figure 1 for the disease H3N2, The TPC of other protein pairs for H3N2 is presented in Supplementary Information B, It is obvious that the identified DNBs form a strongly correlated subnetwork to provide the significant warning signal near the critical state (45 h),
The phenotypic coefficient of variation (PCV) was higher than the genotypic coefficient of variation (GCV) for all the traits which was indicating the little influence of environment on the expression of these characters and considerable amount of variation was controlled by genetic makeup of the genotypes (Table 3).
As stated, the PCV (phenotypic coefficient of variation) and GCV (genotypic coefficient of variation) values are ranked as low, medium, and high with 0 to 10%, 10 to 20%, and >20%, respectively [20].
The working hypothesis was tested by sectoring the S&P 1500 into revenue momentum deciles, with the top decile sector expected to outperform both the overall S&P 1500 (Equally-Weighted), as well as the bottom decile sector, on a risk-adjusted basis before transaction costs, based on the portfolio's Coefficient of Variation (CV).
Age 14 15 16 n/% 33/16.5 31/15.5 30/15.0 Mean 14.5 14.6 14.7 CI 95% for the mean Lower limit 14.4 14.5 14.6 Upper limit 14.6 14.8 14.9 Variance 0.1 0.1 0.1 Standard deviation 0.3 0.3 0.4 Minimum 14 14 14 Maximum 15.2 15.4 15.6 Interquartile range 0.5 0.4 0.5 Standard error of the mean 0.1 0.1 0.1 Coefficient of variation. 2.3 2.3 2.5 Age 17 18 19 n/% 28/14.0 43/21.5 35/17.5 Mean 14.8 15 15.1 CI 95% for the mean Lower limit 14.6 14.9 14.9 Upper limit 14.9 15.2 15.2 Variance 0.1 0.2 0.1 Standard deviation 0.3 0.4 0.4 Minimum 14.2 14.1 14.3 Maximum 15.6 15.9 15.7 Interquartile range 0.4 0.6 0.5 Standard error of the mean 0.1 0.1 0.1 Coefficient of variation.
In rating auto loan ABS, the default rate and coefficient of variation of default are two key inputs that determine the transaction cash flows in the cash flow model.

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