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# ANOVA Hypothesis Testing for F=1

In ANOVA, what does F=1 mean? What are the differences between a two sample t-test and ANOVA hypothesis testing? When would you use ANOVA at your place of employment, in your education, or in politics?

#### Solution Preview

In ANOVA, the statistic we calculate to make our statistical decision is F. This statistic is basically a ratio of the variance between groups (which is the difference we're interested in, caused by our experimental manipulation) to the variance within groups (which is made up of individual differences between people, and is essentially the standard deviation of our samples). When the variance between groups is much larger than the variance within groups, F gets very large, indicating that our treatment causes differences between groups that are much larger than the differences we would ...

#### Solution Summary

In ANOVA, the statistic we calculate to make our statistical decision is F. This statistic is basically a ratio of the variance between groups (which is the difference we're interested in, caused by our experimental manipulation) to the variance within groups (which is made up of individual differences between people, and is essentially the standard deviation of our samples).....(see rest in response)....

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