Question

Using standard deviation and variance, what if we wanted to compare the variation in body lengths of great white sharks and greater short-horned lizards? What measure of variation would you suggest we use, and why?

This question is a conceptual portion of R programming.

Answer 1

Using standard deviation and variance, what if we wanted to compare the variation in body lengths of great white sharks and greater short-horned lizards? W

measure of variation:-

To compare the two variation, we use F-test for variances.

So we can compare the two variances using F-test.

For comparing the variances of two or more samples.

• Compute Bartlett’s test in R
• Compute Levene’s test in R
• Compute Fligner-Killeen test in R

Other measure is the coefficient of variation:-

The coefficient of variation of the observations is used to describe the level of variability within a population independently of the absolute values of the observations.

If absolute values are similar, populations can be compared using their standard deviations. B

if they differ markedly (for example, the weights of mice and elephants), or are of different variables (for example, weight and height), then you need to use a standardized measure - such as the coefficient of variation.

The coefficient of variation (CV) for a sample is the standard deviation of the observations divided by the mean.