During special events, such as Mavericks games, or Cowboys games, policemen are
ID: 3320566 • Letter: D
Question
During special events, such as Mavericks games, or Cowboys games, policemen are assigned to various intersections to speed up the flow of traffic and reduce congestion. To determine if there were any differences among the three busiest intersections needing police supervision, the number of vehicles passing through each of the three intersections was recorded for a 30 minute period over the course of six special event occasions. (Assume normal distributions with equal variances.)
Let’s say you collected new data at these intersections and performed another ANOVA one-way test. Your test results indicate there are differences.
In order to determine where the differences exist in an ANOVA test, Tukey developed another critical value and a procedure to find those differences.
When utilizing Tukey's Omega, given the following Excel print-out, can you determine the treatments in where the differences exist? (the word "intersection" has been abbreviated)
Multiple Comparisons
LSD
Omega
Treatment
Treatment
Difference
Alpha = 0.05
Alpha = 0.05
Intersc 1
Intersc 2
-3.33
58.60
71.34
Intersc 3
88.33
58.60
71.34
Intersc 2
Intersc 3
-75.66
58.60
71.34
Difference is between “Intersection 1” and “Intersection 3”; and also Intersection 2 and Intersection 3
Difference is between "Intersection 1" and "Intersection 3"
Difference is between all intersections.
According to Tukey’s Omega, there are no differences shown in the printout.
Multiple Comparisons
LSD
Omega
Treatment
Treatment
Difference
Alpha = 0.05
Alpha = 0.05
Intersc 1
Intersc 2
-3.33
58.60
71.34
Intersc 3
88.33
58.60
71.34
Intersc 2
Intersc 3
-75.66
58.60
71.34
Explanation / Answer
Result:
When utilizing Tukey's Omega, given the following Excel print-out, can you determine the treatments in where the differences exist? (the word "intersection" has been abbreviated)
Multiple Comparisons
LSD
Omega
Treatment
Treatment
Difference
Alpha = 0.05
Alpha = 0.05
Intersc 1
Intersc 2
-3.33
58.60
71.34
Intersc 3
88.33
58.60
71.34
Intersc 2
Intersc 3
-75.66
58.60
71.34
Answer
a.
Difference is between “Intersection 1” and “Intersection 3”; and also Intersection 2 and Intersection 3
b.
Difference is between "Intersection 1" and "Intersection 3"
c.
Difference is between all intersections.
d.
According to Tukey’s Omega, there are no differences shown in the printout.
Mean difference of 2 and 3 is 88.33 which is larger than 71.34.
Mean difference of 2 and 3 is 75.66 which is larger than 71.34.
These two mean differences are significant.
The Mean difference of 1 and 2 is 3.33 which is smaller than 71.34.this difference is not significant.
Multiple Comparisons
LSD
Omega
Treatment
Treatment
Difference
Alpha = 0.05
Alpha = 0.05
Intersc 1
Intersc 2
-3.33
58.60
71.34
Intersc 3
88.33
58.60
71.34
Intersc 2
Intersc 3
-75.66
58.60
71.34
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