A student runs an experiment to study the effect of gas brand and car type on mileage.She uses 3 different brands of gas on 8 different types of cars.
A)Gas brand SS: 3 df;Car type SS: 7 df;SSE: 14 df
B)Gas Brand SS: 3 df;Car type SS: 4 df;SSE: 12 df
C)Gas brand SS: 1 df;Car type SS: 7 df;SSE 14 df
D)Gas Brand SS: 2 df;Car type SS: 3 df;SSE: 8 df
E)Gas brand SS: 2 df;Car type SS: 7 df;SSE 14 df

Question

Quizplus · Accepted Answer

The best choice is E because it has a reasonable number of degrees of freedom for both gas brand and car type, and the error degrees of freedom are sufficient for the analysis. Having too few degrees of freedom can lead to biased estimates and unreliable results, while having too many can result in overfitting of the data. Therefore, E strikes a good balance between these considerations.

A Student Runs an Experiment to Study the Effect of Gas