Statistical Analysis Stack Exchange
Statistical Analysis Stack Exchange

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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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 ${0, 5, 7, 12, 11, 17}$ and sample 2 is ${10 ,15 ,17…
Durin
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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 set of $n$ nonnegative numbers $x_i$ where $0 \leq…
Dilip Sarwate
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Intuition and uses for coefficient of variation

I'm currently attending the An Introduction to Operations Management course in Coursera.org. At some point in the course, the professor started to deal with variation in the operations' time. The measurement he uses is the Coefficient of Variation,…
Lucas Reis
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How to quantify variation within one experiment?

Given a couple of measurements I get by running an experiment, I need to express the fact that they are similar to some extent. So, I computed their coefficient of variation, i.e., stdev/mean. Here is a sample: 3.76025 2.98375 3.78946 3.72195…
DED
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Statistical comparison of data dispersion between two groups

I was trying to find a suitable way to compare the relative data dispersion between two groups and also to investigate if they are statistically significant. During the last weeks, I have searched a lot and read several papers and finally come up…
Md. Ferdous Wahid
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Coefficient of variation of circular data

The definition of coefficient of variation is as follows: coefficient of variation= standard deviation/mean. I am using circular (directional) statistics to find the mean and standard deviation. My question is: can I use the same definition of the…
Aep
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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, interquartile range divided to median, and medcouple. I…
zlon
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What does a squared coefficient of variation signify?

The coefficient of variation is defined as the ratio of S.D to mean, a dimensionless number which on multiplication by 100 gives the percentage of dispersion with mean. But when we square this coefficient of variation, what does it signify? (I have…
bioinformatician
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Coefficient of variation of correlation values

I have the following problem that I am not sure of whether I treat it correctly: I run repeated simulations, where the output of a single simulation replicate is a single correlation value. The simulation is replicated (let's say) 1,000 times and…
PScho
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Ratio of standard deviation to mean

Let's say that we have a confidence interval like this: µ ± σ, where σ is the standard deviation and µ is the mean. I want to know if the ratio σ/µ has any interpretation? Does it mean anything if we evaluate it? Thank you in advance!
Dionis Beqiraj
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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 15, 2014 UPDATE: For example, if $C_{v_1}$ >…
abc
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Coefficient of variation of the product of a random variable and a constant

I have a random variable $X$ and I need to calculate the coefficient of variation ($\text{CV}$) of the product of a constant, $c$, and $X$. In other words $\text{CV}(X \cdot c)$. To do this I can apply the following: \begin{align} \text{CV}(X…
Guest
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Question about squares of the coefficients of variation

Suppose that $X$ is a random variable with any distribution that takes only positive values. Can the following inequality hold for constants $c_2 >c_1 >0$? $$\text{Var}(Z^{c_2})/\text{E}[Z^{c_2}]^2 > \text{Var}(Z^{c_1})/\text{E}[Z^{c_1}]^2$$ In…
Jafar Mansouri
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Coefficient of variation of log-Gamma distribution

If I have a Gamma distributed random variable $y$: \begin{equation} y \sim Gamma(\alpha, \beta) \end{equation} which has coefficient of variation $\frac{1}{\sqrt{\alpha}}$, then what would be the coefficient of variation of $x$, defined…
user_15
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Using coefficient of variation as the DV in OLS regression

I would like to analyze income mixing in the neighbourhoods of a group of cities. One way to think of neighbourhood income mix is as the spread of incomes found in a neighbourhood. I have census variables for average income, median income, standard…
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