Question

A researcher computes SSb=600, dfb=3, SSw=5000, dfw=100. Compute the obtained F-statistic.

1) 0
2) 4
3) 50
4) 200

Answer 1

The obtained F-statistic is calculated by dividing MSbetween by MSwithin, which equates to 4. This corresponds to option 2.

Step-by-step explanation:

To compute the obtained F-statistic, you need to divide the mean square between groups (MSbetween) by the mean square within groups (MSwithin). MSbetween is computed by dividing SSbetween by the degrees of freedom between groups (dfbetween), and MSwithin is computed by dividing SSwithin by the degrees of freedom within groups (dfwithin).

In this case, MSbetween = SSbetween / dfbetween = 600 / 3 = 200, and MSwithin = SSwithin / dfwithin = 5000 / 100 = 50.

The F-statistic is then calculated by dividing MSbetween by MSwithin, which is 200 / 50 = 4.

Therefore, the obtained F-statistic is 4, which corresponds to option 2.