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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Can Coefficient of Variation be used to verify the representativeness of the mean?

I have a sample with approximately 45 million elements, with 4,410 as the mean and 1,657 as the standard deviation. I am not confident whether or not the mean well represents the sample due to the ...
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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 ...
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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 ...
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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 ...
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Measure of dispersion for dataset with zero mean

I'm testing a machine learning algorithm which, until now used coefficient of variation in order to relative measure dispersion among different attributes in a given dataset. Now that I need to test ...
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How do I compare multiple coefficients of variation?

I have an experiment organized as follows: N repeated measures were done for each of M different conditions (each one having a different mean value) The experiment was done P times, each time using a ...
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How to calculate relative error of a random variable?

This maybe a naive question, but I found two ways to calculate the relative error, one is common and another is from the papers I read. Assume that the exact number is $n$, and the estimated number ...
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distribution of sample variance or sample coefficient of variation under gamma parent distribution

I am looking for anything related to the distribution of the sample variance or sample coefficient of variation (or joint with sample mean or conditional on sample mean) when the parent distribution ...
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Is there any guide line to select a right coefficient of variation?

I faced an estimation problem of compute the mean of a random variable (rv) $X$. What I know is the coefficient of variation of this rv, namely its standard deviation divided by its mean: $$c_{v}(X) = ...
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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 ...
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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^{...
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Can the coefficient of variation for two samples be added?

I have a quick question that should hopefully require a quick answer (my apologies if this is a rather simple question). I have two estimates of relative abundance from two sub-populations and want ...
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How to find Coefficient of Variation with E(X), E(X^2) and sample size?

Given E(X), E(X^2) and sample size. How do I find Coefficient of Variation? Variance = E(X^2) - E(X)^2 sd = square root of variance Coefficient of Variation = sd / E(X) however, with the values ...
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Significance of Co-efficient of Variation

Is there a formula that is able to determine whether the difference between two co-efficients of variation is significant or if not is there a specific heuristic used to determine significance (i.e. ...
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understanding variation of data and visualization

1) What is the threshold or measure to say that the variation of data is high? Typically we say high or low variation by comparing with another data set. But there is only one data set. 2) We can use ...
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Average variation points

Having a score board Points Day 1 1000 Day 2 1050 Day 3 1010 Day 4 1010 Day 5 1030 How to calculate the average variation points? i.e. How many ...
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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 ...
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Use coefficient of variation (CV) to compare precision testing results

Can I just use coefficient of variation (CV) to compare my results and make conclusion from it? I need to write up results from running 2 controls (Precision testing-intra assay/inter assay and ...
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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 ...
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How to calculate percent variation

I've came across a method in research communication, where different percentages of variation were calculated for a collection of ratio values for some proteins. As seen in the figure, the frequency ...
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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 ...
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Alternative to coefficient of variation (CV)/relative standard error as a measure of estimate's reliability/stability

I am seeking a statistic measuring an estimate's reliability or stability as an alternative to the coefficient of variation (CV), also known as the relative standard error. The CV is the standard ...
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Size of the data set for measuring variation

This might be a simple question but I am unable to find a solution on the web. I would like to measure variation of some numerical data. What is the minimum number of values I should use for measuring ...
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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 ...
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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 ...

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