The formula to calculate the variance ratio is:
\[ F = \frac{\sigma^2_1}{\sigma^2_2} \]
Where:
A variance ratio is a statistical measure used to compare the dispersion or variability of two different datasets. It is often used in the context of an F-test in analysis of variance (ANOVA) to determine if the variances are significantly different from each other. A higher variance ratio indicates that the first dataset has greater dispersion than the second.
Example 1:
Step 1: Calculate the variance ratio:
\[ F = \frac{25}{5} = 5 \]
Example 2:
Step 1: Calculate the variance ratio:
\[ F = \frac{16}{4} = 4 \]
