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Do all variables follow normal distribution?
Now, what’s phenomenal to note is that once you find the probability distributions of most of the variables in nature then they all approximately follow a normal distribution. The normal distribution is simple to explain. The reasons are: The mean, mode, and median of the distribution are equal.
Can you use standard deviation if data is not normally distributed?
The calculated mean and the standard deviation are not wrong for non-normal distributed data, nor do they lead to wrong results, as you wrote. The problem is that the numbers are usually interpreted as if they were calculated from normally distributed data, and this wrong interpretation may lead to wrong conlusions.
How is the coefficient of variation used in statistics?
The coefficient of variation (relative standard deviation) is a statistical measure of the dispersion of data points around the mean. The metric is commonly used to compare the data dispersion between distinct series of data. Unlike the standard deviation
Is the coefficient of variation a dimensionless number?
In contrast, the actual value of the CV is independent of the unit in which the measurement has been taken, so it is a dimensionless number. For comparison between data sets with different units or widely different means, one should use the coefficient of variation instead of the standard deviation.
Is the coefficient of variation constant in a lognormal distribution?
In these distributions, the standard deviation changes depending on the portion of the distribution you are assessing. However, the coefficient of variation remains constant throughout a lognormal distribution. When measurements use different scales, you can’t compare them directly.
Which is more accurate the coefficient of variation or the Alpha?
According to Vangel, the unmodified McKay is only more accurate when both the coefficient of variation and alpha are large. However, if the coefficient of variation is large, then this implies either that the data contains negative values or the data does not follow a normal distribution.