Chapter 12.9, Problem 12.106ACI

Study of supervisor-targeted aggression. “Moonlighters” are workers who hold two jobs at the same time. What are the factors that impact the likelihood of a moonlighting worker becoming aggressive toward his/her supervisor? This was the research question of interest in the Journal of Applied Psychology (July 2005). Completed questionnaires were obtained from n = 105 moonlighters, and the data were used to fit several multiple regression models for supervisor-directed aggression score (y). Two of the models (with R² -values in parentheses) are given below:

     $\begin{array}{l}\text{Model 1 : E}\left(y\right)={\beta }_0+{\beta }_1\left(\text{Age}\right)+{\beta }_2\left(\text{Gender}\right)+{\beta }_3\left(\text{Interactional injustice at 2nd job}\right)+\\ {\beta }_4\left(\text{Abusive supervisor at 2nd job}\right)\end{array}$

(R² − .101)

     $\begin{array}{l}\text{Model 2:}E\left(y\right)={\beta }_0\left|{\beta }_1\left(\text{Age}\right)\right|{\beta }_2\left(\text{Gender}\right)|{\beta }_3\left(\text{Interactional injustice at 2nd job}\right)+\\ {\beta }_4\left(\text{Abusive supervisor at 2nd job}\right)+{\beta }_5\left(\text{self -esteem}\right)+{\beta }_6\left(\text{History of aggression}\right)\\ {\beta }_7\left(\text{Interactional injustice at primary job}\right)+{\beta }_8\left(\text{Abusive supervisor at primary}\text{job}\right)\end{array}$

(R² − .555)

1. a. Interpret the R² -values for the models
2. b. b Give the null and alternative hypotheses for comparing the fits of models 1 and 2
3. c. Are the two models nested? Explain
4. d. The nested F-test for comparing the two models resulted in F = 42.13 and p-value <.001 What can you conclude from these results?
5. e. A third model was fit one that hypothesizes all possible pairs of interactions between self-esteem, history of aggression, interactional Injustice at primary job, and abusive supervisor et primary job Give the equation of this model (model 3)
6. f. A nested F-test to compare models 2 and 3 resulted 1n a p-value > .10. What can you conclude from this result?