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Emotional distress in firefighters. The Journal of
Chapter 12, Problem 110E(choose chapter or problem)
Emotional distress in firefighters. The Journal of HumanStress (Summer 1987) reported on a study of “psychological response of firefighters to chemical fire.” It is thought that the following complete second-order model will be adequate to describe the relationship between emotional distress and years of experience for two groups of firefighters—those exposed to a chemical fire and those exposed:
\(E(y)=\beta_{0}+\beta_{1} x_{1}+\beta_{2} x_{1}^{2}+\beta_{3} x_{2}+\beta_{4} x_{1} x_{2}+\beta_{5} x_{1}^{2} x_{2}\)
where
y = Emotional distress
\(x_1\) = Experience (years)
\(x_2\) = 1 if exposed to chemical fire, 0 if not
a. How would you determine whether the rate of increase of emotional distress with experience is different for the two groups of firefighters?
b. How would you determine whether there are differences in mean emotional distress levels that are attributable to exposure group?
Questions & Answers
QUESTION:
Emotional distress in firefighters. The Journal of HumanStress (Summer 1987) reported on a study of “psychological response of firefighters to chemical fire.” It is thought that the following complete second-order model will be adequate to describe the relationship between emotional distress and years of experience for two groups of firefighters—those exposed to a chemical fire and those exposed:
\(E(y)=\beta_{0}+\beta_{1} x_{1}+\beta_{2} x_{1}^{2}+\beta_{3} x_{2}+\beta_{4} x_{1} x_{2}+\beta_{5} x_{1}^{2} x_{2}\)
where
y = Emotional distress
\(x_1\) = Experience (years)
\(x_2\) = 1 if exposed to chemical fire, 0 if not
a. How would you determine whether the rate of increase of emotional distress with experience is different for the two groups of firefighters?
b. How would you determine whether there are differences in mean emotional distress levels that are attributable to exposure group?
ANSWER:Step 1 of 2
(a)
The appropriate test hypotheses are as follows:
Null hypothesis:
That is, there is no significant difference between the rates of increase of emotional distress with experience for two groups of freedom fighters.
Alternative hypothesis:
That is, there is a significant difference between the rates of increase of emotional distress with experience for two groups of freedom fighters.