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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:Model 1: E(y) =β0 + β1(Age) +β2(Gender) +β3(Interaction injustice at second job) +β4(Abusive supervisor at second job) (R2 = .101) Model 2: E(y)=β0 + β1(Age) + β2(Gender) +β3(Interactional injustice at second job) +β4(Abusive supervisor at second job) +β5(Self-esteem) +β6(History of aggression) +β7(Interactional injustice at primary job) +β8(Abusive supervisor at primary job) (R2 = .555)
(a) Interpret the R2 values for the models.
(b) Give the null and alternative hypotheses for comparing the fits of Models 1 and 2.
(c) Are the two models nested? Explain.
(d) The nested F-test for comparing the two models resulted in F = 42.13 and p-value
(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 at primary job. Give the equation of this model (Model 3).
(f) A nested F-test to compare Models 2 and 3 resulted in a p-value > .10. What can you conclude from this result?
A normal population has a mean of 80.0 and a standard deviation of 14.0. Compute the probability of a value between 75.0 and 90.0.
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