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Chapter 9: Q6E (page 528)

Drafting NFL quarterbacks. Refer to the Journal of Productivity Analysis (Vol. 35, 2011) study of how successful NFL teams are in drafting productive quarterbacks, Exercise 1.26 (p. 51). Recall that the researchers measured two variables for each of the 331 quarterbacks drafted between

1970 and 2007: (1) Draft position (Top 10, between picks 11 and 50, or after pick 50) and (2) QB production score (where higher scores indicate more productive QBs). Suppose we want to compare the mean production score

of quarterbacks in the three draft position groups. Identify each of the following elements for this study:

a. Response variable

b. Factor(s)

c. Treatments

d. Experimental units

Short Answer

Expert verified

d. The experimental unit is a quarterback in an NFL team.

Step by step solution

01

Given Information

A study of how successful NFL teams are in drafting productive quarterbacks is provided.

02

Definition

An experimental unit is an object on which the response and factors are observed or measured.

03

Identifying the experimental unit

d.

The experiment is regarding the success of NFL teams in drafting productive quarterbacks. The measurements on the quarterback production score are taken.

Therefore, the experimental unit is a quarterback in an NFL team.

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Most popular questions from this chapter

Use Tables V, VI, VII, and VIII in Appendix D to find each

of the following F-values:

a. F0.05,v1=4,v2=4

b. F0.01,v1=4,v2=4

c. F0.10,v1=30,v2=40

d. F0.025,v1=15,v2=12

Identifying the type of experiment. Brief descriptions of a number of experiments are given next. Determine whether each is observational or designed and explain your reasoning.

a. An economist obtains the unemployment rate and gross state product for a sample of states over the past 10 years, with the objective of examining the relationship between the unemployment rate and the gross state product by census region.

b. A manager in a paper production facility installs one of three incentive programs in each of nine plants to determine the effect of each program on productivity.

c. A marketer of personal computers runs ads in each of four national publications for one quarter and keeps track of the number of sales that are attributable to each publication’s ad.

d. An electric utility engages a consultant to monitor the discharge from its smokestack on a monthly basis over a 1-year period to relate the level of sulfur dioxide in the discharge to the load on the facility’s generators.

e. Intrastate trucking rates are compared before and after governmental deregulation of prices changed, with the comparison also taking into account distance of haul, goods hauled, and the price of diesel fuel.

What are the treatments for a designed experiment that uses one qualitative factor with four levels—A, B, C, and D?

Define an experiment-wise error rate.

Define a comparison-wise error rate.

See all solutions

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