Explain the meaning of the F-ratio in ANOVA. How is it calculated, and what does it indicate?
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The F-ratio is the ratio of the variance between group means to the variance within the groups. It is calculated as:
F=Mean Square Between Groups (MSB)Mean Square Within Groups (MSW)F = \frac{\text{Mean Square Between Groups (MSB)}}{\text{Mean Square Within Groups (MSW)}}F=Mean Square Within Groups (MSW)Mean Square Between Groups (MSB)
A large F-ratio suggests that the group means are significantly different.