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Which is the correct formula for calculating the CV or coefficient of variation?
The formula for the coefficient of variation is: Coefficient of Variation = (Standard Deviation / Mean) * 100. In symbols: CV = (SD/x̄) * 100.
What does the coefficient of variation tell you?
The coefficient of variation (CV) is the ratio of the standard deviation to the mean. The higher the coefficient of variation, the greater the level of dispersion around the mean. It is generally expressed as a percentage. The lower the value of the coefficient of variation, the more precise the estimate.
What is a reasonable coefficient of variation?
Basically CV<10 is very good, 10-20 is good, 20-30 is acceptable, and CV>30 is not acceptable.
Is RSD the same as CV?
RSD also is known as the coefficient of variation (CV). By definition standard deviation is a quantity calculated to indicate the extent of deviation for a group as a whole.
What is the coefficient of variation ( CV ) of log transformed data?
I understand that with log-transformed data, the coefficient of variation (CV) on the original scale is equal to sqrt (exp (sigma^2)-1), where sigma is the standard deviation of log-transformed data. But is there anything inherently wrong with simply calculating CV on log scale as sigma/xbar, where xbar is the mean of the log-transformed data?
When to use untransformed percent coefficient of variation?
The %CV calculation will be different mathematically depending on the mean and variance of the transformation. If the untransformed %CV is used on log-normal data, the resulting %CV will be too small and give an overly optimistic, but incorrect, view of the performance of the measured device.
Is there anything inherently wrong with calculating CV on log scale?
But is there anything inherently wrong with simply calculating CV on log scale as sigma/xbar, where xbar is the mean of the log-transformed data? For instance, would this calculation of CV on log-scale not really represent what is thought of as a coefficient of variation?
What happens when you use untransformed% CV?
The %CV calculation will be different mathematically depending on the mean and variance of the transformation. If the untransformed %CV is used on log-normal data, the resulting %CV will be too small and give an overly optimistic, but incorrect, view of the performance of the measured device.