Refer to the Journal of Applied Psychology (Jan. 2011) study of the determinants of task performance. In addition to x1 = conscientiousness score and

kuCAu

kuCAu

Answered question

2021-06-24

Refer to the Journal of Applied Psychology (Jan. 2011) study of the determinants of task performance. In addition to x1= conscientiousness score and x2={1if highly complex job, 0 if not}, the researchers also used x3= emotional stability score, x4= organizational citizenship behavior score, and x5= counterproductive work behavior score to model y = task performance score. One of their concerns is the level of multicollinearity in the data. A matrix of correlations for all possible pairs of independent variables follows. Based on this information, do you detect a moderate or high level of multicollinearity? If so, what are your recommendations?

x1 x2 x3 x4

Conscientiousness (x1)

Job Complexity (x2). 13

Emotional Stability (x3). 62. 14

Organizational Citizenship (x4). 24. 03. 24

Counterproductive Work (x5) .23 .23 .02 .62

Answer & Explanation

estenutC

estenutC

Skilled2021-06-25Added 81 answers

There is a high level of multicollinearity if there is a correlation between a pair of independent variables that is higher than 0.8 or is below —0.8. We note that all values in the matrix are hetween —0.8 and 0.8, thus there is no high level of multicollinearity.
There is a, moderate level of multicollinearity if there is a correlation between a pair of independent variables that is between 0.2 and 0.8 in absolute value. We note that the correlation between emotional stability x3 and conscientiousness 7 is 0.62, which is between 0.2 and 0.8. We then detect a moderate level of multicollinearity.
Since there exists multicollinearity between somepairs of independent variables, we would recommend removing 1 or more independent variables that are moderately correlated.

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