The article Optimum Design of an A-pillar Trim with Rib Structures for Occupant Head Protection (H. Kim and

S. Kang, Proceedings of the Institution of Mechanical Engineers, 2001:11611169) discusses a study in which several

types of A-pillars were compared to determine which provided the greatest protection to occupants of automobiles

during a collision. Following is a one-way ANOVA table, where the treatments are three levels of longitudinal spacing

of the rib (the article also discussed two insignificant factors, which are omitted here). There were nine replicates

at each level. The response is the head injury criterion (HIC), which is a unitless quantity that measures the impact

energy absorption of the pillar.

One-way ANOVA: Spacing

Source DF SS MS F P

Spacing 2 50946.6 25473.3 5.071 0.015

Error 24 120550.9 5023.0

Total 26 171497.4

The treatment means were

Treatment ABC

Mean 930.87 873.14 979.41

a. Can you conclude that the longitudinal spacing affects the absorption of impact energy?

Navidi, William (2014-01-24). Statistics for Engineers and Scientists (Page 697). McGraw-Hill Higher Education. Kindle Edition.