A student runs an experiment to test how race car drivers and different tracks affect time.He uses 3 different drivers on 4 different tracks.He randomizes the trials,performing 4 runs under each treatment condition,carefully recording how many laps each driver completes on each different track.
A)Driver SS: 2 df; Track SS: 3 df; SSE: 42 df
B)Driver SS: 3 df; Track SS: 4 df; SSE: 12 df
C)Driver SS: 3 df; Track SS: 3 df; SSE: 42 df
D)Driver SS: 2 df; Track SS: 3 df; SSE: 12 df
E)Driver SS: 3 df; Track SS: 4 df; SSE: 42 df

Question

Quizplus · Accepted Answer

Degrees of freedom (df) for drivers = number of drivers - 1 = 3 - 1 = 2. Degrees of freedom for tracks = number of tracks - 1 = 4 - 1 = 3. SSE df = total df - df for drivers - df for tracks = (3 drivers * 4 tracks * 4 runs) - 1 - 2 - 3 = 48 - 1 - 2 - 3 = 42.

A Student Runs an Experiment to Test How Race Car