Workplace bullying and intention to leave. Refer to

Chapter 12, Problem 102E

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QUESTION:

Workplace bullying and intention to leave. Refer to theHuman Resource Management Journal (Oct. 2008) study of workplace bullying, Exercise 12.91 (p. 722). Recall that multiple regression was used to model an employee's intention to leave (y) as a function of bullying (x1, measured on a quantitative scale) and perceived organizational support (measured qualitatively as “low POS,”“neutral POS,” or “high POS”). In Exercise 12.91b, you wrote a model for E(y) as a function of bullying and POSthat hypothesizes three parallel straight lines, one for each level of POS. In Exercise 12.91c, you wrote a model for E(y) as a function of bullying and POS that hypothesizes three nonparallel straight lines, one for each level of POS.

a. Explain why the two models are nested. Which is the complete model? Which is the reduced model?

b. Give the null hypothesis for comparing the two models.

c. If you reject \(H_0\) in part b, which model do you prefer?Why?

d. If you fail to reject \(H_0\) in part b, which model do you prefer? Why?

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QUESTION:

Workplace bullying and intention to leave. Refer to theHuman Resource Management Journal (Oct. 2008) study of workplace bullying, Exercise 12.91 (p. 722). Recall that multiple regression was used to model an employee's intention to leave (y) as a function of bullying (x1, measured on a quantitative scale) and perceived organizational support (measured qualitatively as “low POS,”“neutral POS,” or “high POS”). In Exercise 12.91b, you wrote a model for E(y) as a function of bullying and POSthat hypothesizes three parallel straight lines, one for each level of POS. In Exercise 12.91c, you wrote a model for E(y) as a function of bullying and POS that hypothesizes three nonparallel straight lines, one for each level of POS.

a. Explain why the two models are nested. Which is the complete model? Which is the reduced model?

b. Give the null hypothesis for comparing the two models.

c. If you reject \(H_0\) in part b, which model do you prefer?Why?

d. If you fail to reject \(H_0\) in part b, which model do you prefer? Why?

ANSWER:

Step 1 of 5

The employee’s intention to leave (y)

The quantitative variable bullying

The qualitative variable Perceived organisation (low POS, or neutral POS, or high POS)

The model is

For the qualitative variable, there are three levels, so two dummy variables should be

defined for these three levels.

Therefore, the model is  will describe a model describing

three parallel lines for each of the three levels.

Similarly,

The model describing the relation between The model describing the relation between

volatility (y) and credit rating ()  as three non-parallel lines, one for each type of market as shown below:

The model having the interaction coefficient will describes a model having non-parallel

lines,

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