BUAD 883-Multivariate Techniques Analyses - Statistics Assignment Help

Assignment Task

Task

Please provide the graphical depiction and output (to include the coding) for each question.
1) Please define each of the following terms: measured variables, latent variables/factors/constructs, error/residual/disturbance/unique variables, paths, parameter constraints
2) What is the difference between latent and measured variables?
3) Explain the four categories of the fit indexes: absolute indexes, relative indexes, parsimonious indexes, model comparison measures.
4) Identify and explain the six most common absolute fit measures: ?2 , degrees of freedom, p-value, ?2 /df (normed chi-square), GFI, SRMR, RMSEA
5) Identify and explain the two most common relative fit measures: CFI, TLI

6) Pertaining to parsimonious fit measures,
a. What is parsimonious is also known as?
b. The fit statistics of parsimonious fit are similar to what?
c. When are parsimonious fit measures recommended, and how will you use the information?

7) For Model comparison measures,
a. When should model comparison measures be utilized?
b. What is the determining factor on which is the better model?
c. What measures are considered model comparison measures?

8) Which fit measures should you report and provide the acceptable fit indices for each?

9) Conduct a 2nd Order CFA with the following variables and their indicators: Charismatic Leadership (Idealized Attributes, Idealized Behaviors, Inspirational Motivation), Citizenship Pressure (Helping, Individual Initiative, Loyalty), and Job Engagement (Physical, Emotional, Cognitive).

a. Based on the CFA BEFORE utilizing the modification indices to increase model fit, what are the fit indexes for the absolute fit measures (?2 degrees of freedom, p-value, ?2 /df, SRMR, RMSEA), relative fit measures (CFI, TLI), model comparison (AIC, BIC)? Do you have a good model fit?

b. If you do not have a good enough model fit, use the output and provide what you did to increase the model the fit
c. After securing the best model fit you were able to secure, what are the fit indexes for the absolute fit measures (?2, degrees of freedom, p-value, ?2 /df, SRMR, RMSEA), relative fit measures (CFI, TLI), model comparison (AIC, BIC)?

10) Conduct a 2nd Order CFA with the following variables utilizing item parceling (for the variables that it is necessary): Charismatic Leadership (Idealized Attributes, Idealized Behaviors, Inspirational Motivation), Citizenship Pressure (Helping, Individual Initiative, Loyalty), and Job Engagement (Physical, Emotional, Cognitive). 

a. Based on the CFA BEFORE utilizing the modification indices to increase model fit, what are the fit indexes for the absolute fit measures (?2degrees of freedom, p-value, ?2 /df, SRMR, RMSEA), relative fit measures (CFI, TLI), model comparison (AIC, BIC)? Do you have a good model fit?

b. If you do not have a good enough model fit, use the output and provide what you did to increase the model the fit

c. After securing the best model fit you were able to secure, what are the fit indexes for the absolute fit measures (?2, degrees of freedom, p-value, ?2 /df, SRMR, RMSEA), relative fit measures (CFI, TLI), model comparison (AIC, BIC)?

11) Conduct a 1st Order CFA with the following variables utilizing the dimensions for each variable:
Charismatic Leadership (Idealized Attributes, Idealized Behaviors, Inspirational Motivation), Citizenship Pressure (Helping, Individual Initiative, Loyalty), and Job Engagement (Physical, Emotional, Cognitive).

a. Based on the CFA BEFORE utilizing the modification indices to increase model fit, what are the fit indexes for the absolute fit measures (?2 degrees of freedom, p-value, ?2 /df, SRMR, RMSEA), relative fit measures (CFI, TLI), model comparison (AIC, BIC)? Do you have a good model fit?

b. If you do not have a good enough model fit, use the output and provide what you did to increase the model the fit
c. After securing the best model fit you were able to secure, what are the fit indexes for the absolute fit measures (?2 , degrees of freedom, p-value, ?2 /df, SRMR, RMSEA), relative fit measures (CFI, TLI), model comparison (AIC, BIC)?

12) Out of the three CFAs, which has the best model fit? Provide your rationale.

Important Information
Charismatic leadership was measured using three subscales (idealized attributes, idealized behaviors, and inspirational motivation), each with four questions, totaling 12 items from the MLQ (Avolio et al., 1999). Responses for the charismatic subscale were measured on a 5-point scale ranging from 1 = not at all to 5 = frequently.

Citizenship pressure was measured using Bolino et al.’s (2010) 34-item scale, which includes three dimensions of OCB: 14 items assessing helping (Settoon & Mossholder, 2002), 15 items assessing individual initiative (Bolino & Turnley, 2005), and five items assessing loyalty (Moorman & Blakely, 1995). Respondents were asked to indicate how often they felt pressured to perform certain duties, which were consistent with the three forms of OCB, using a 5-point scale ranging from 1 = never feel pressured to 5 = always feel pressured.
Job engagement was measured with an 18-item scale developed by Rich (2006). The scale captured six items in each of the three dimensions: physical, emotional, and cognitive. Responses were made on a 5-point scale ranging from 1 = strongly disagree to 5 = strongly agree.

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