Answered: An experiment to determine the effect…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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An experiment to determine the effect of four different types of engine oil (A, B, C, and D) on
the rolling friction coefficient of a car speed has been conducted. Three brands of car (Honda,
Toyota, and Mazda) were chosen, and each engine oil was tested twice on each car, producing
the following ANOVA output in Figure 2.

i) How many treatments involved? Write down all the treatments.

ii) Identify the number of replication for each treatment.

iii) Based on the ANOVA table above, find the values of W, X, Y and Z.

iv) Test the interaction effect on rolling friction coefficient of car speed between the four
different types of engine oil and the three different brands of car.

v) Do we need to test for marginal effect? Give a reason.

ANOVA
Source of Variation
S
df
MS
P-value
F crit
Sample
0.00012
3
3.8E-05
1.1203
3.4903
Columns
0.00036
2
0.00018
5.2110
3.8853
Interaction
0.00019
3.1E-05
Y
Within
3.4E-05
Total
0.00107
23
N

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