Questions tagged [coefficient-of-variation]

A measure of dispersion expressed relative to the mean, used for positive variables. Equals the standard deviation divided by the mean.

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7answers
117k views

How to interpret the coefficient of variation?

I am trying to understand the Coefficient of Variation. When I try to apply it to the following two samples of data I am unable to understand how to interpret the results. Let's say sample 1 is ${0, ...
17
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3answers
11k views

Maximum value of coefficient of variation for bounded data set

In the discussion following a recent question about whether the standard deviation can exceed the mean, one question was raised briefly but never fully answered. So I am asking it here. Consider a ...
1
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1answer
590 views

Reproducing Feltz and Miller's (1996) “Asymptotic Test for the Equality of Coefficients of Variation from K Populations”

I'm trying to compute the D'AD test statistic described in Feltz and Miller's (1996) Asymptotic Test for the Equality of Coefficients of Variation from K Populations. I'm attempting to use to R ...
4
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2answers
6k views

Can we use a coefficient of variation as a statistic for testing homogeneity of variance?

There are well-known HOV tests, for example Levene's, Brown-Forsythe's, Bartlett's available in SAS and R. But $C_v$ also deals with dispersion, can we use it to understand the degree of HOV? July ...
2
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1answer
205 views

Robust analogues of Mean, CV and Skewness

I need to characterize the mean, CV and skewness of my observed data (it is gamma-like distributed). This data is an artifact (outliers) enriched, so I decide to use robust statistics: median, ...
2
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0answers
1k views

Proper use of the coefficient of variation [duplicate]

I have a variety of samples, each with a different standard deviation and mean. The coefficient of variation $CV$ = ${\sigma} / {\mu}$ defines the amount of variation in a population or sample around ...
1
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1answer
411 views

Combining two estimates

The number of participants in a particular sport in the USA in 2014 was estimated by a research group at 3,000,000. This estimate came with a standard error. The number of hospitalizations associated ...