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, 2001:1161–1169) discusses a study in which several types of A-pillars were compared to detemine 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 ariterion (HIC), which is a unitless quantity that measures the impact energy absorption of the pillar. One-way ANOVA: Spacing Source DF MS Spacing Етоr 50946.6 25473.3 5.071 0.015 24 120550.9 5023.0 Total 26 171497.4 The treatment means were Treatment 930.87 873.14 979.41 Mean Can you conclude that the longitudinal spacing affects the absorption of impact energy? b. Use the Tukey-Kramer method to determine which pairs of treatment means, if any, are different at the 5% level. a. Use the Bonferroni method to determine which pairs of treatment means, if any, are C. different at the 5% level. d. Which method is more powerful in this case, the Tukey-Kramer method or the Bonferroni method?
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, 2001:1161–1169) discusses a study in which several types of A-pillars were compared to detemine 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 ariterion (HIC), which is a unitless quantity that measures the impact energy absorption of the pillar. One-way ANOVA: Spacing Source DF MS Spacing Етоr 50946.6 25473.3 5.071 0.015 24 120550.9 5023.0 Total 26 171497.4 The treatment means were Treatment 930.87 873.14 979.41 Mean Can you conclude that the longitudinal spacing affects the absorption of impact energy? b. Use the Tukey-Kramer method to determine which pairs of treatment means, if any, are different at the 5% level. a. Use the Bonferroni method to determine which pairs of treatment means, if any, are C. different at the 5% level. d. Which method is more powerful in this case, the Tukey-Kramer method or the Bonferroni method?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text: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,
2001:1161–1169) discusses a study in which several types of A-pillars were compared to
detemine 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
ariterion (HIC), which is a unitless quantity that measures the impact energy absorption of
the pillar.
One-way ANOVA: Spacing
Source
DF
MS
Spacing
Етоr
50946.6
25473.3
5.071
0.015
24
120550.9
5023.0
Total
26
171497.4
The treatment means were
Treatment
930.87
873.14
979.41
Mean
Can you conclude that the longitudinal spacing affects the absorption of impact
energy?
b. Use the Tukey-Kramer method to determine which pairs of treatment means, if any,
are different at the 5% level.
a.
Use the Bonferroni method to determine which pairs of treatment means,
if
any, are
C.
different at the 5% level.
d.
Which method is more powerful in this case, the Tukey-Kramer method or the
Bonferroni method?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 13 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman