Question

In: Statistics and Probability

You are interested in whether a student’s popularity rank is related to his or her leadership...

You are interested in whether a student’s popularity rank is related to his or her leadership rank. You have collected the data, and now you are ready to run the analysis.

Assuming that you end up with a high but negative gamma, what would that mean about the relationship between popularity rank and leadership rank?

Students who rank higher in popularity tend to rank higher in leadership.

There is no relationship between rank in popularity and rank in leadership.

Students who rank higher in popularity tend to rank lower in leadership.

Solutions

Expert Solution

Financial rank :

Despite the ongoing academic debate about the ability to teach or simply nurture leadership skills, many schools have adopted leadership development as a primary thrust of their  programs. Business schools have come under particular scrutiny in the past few years due to the number of business leaders presiding over failed organizations, some of which suffered prominent media speculation on their organization’s contribution to the global financial crisis. Many schools have made a conscious effort to address and understand these issues, and consequently have worked at redesigning and redeveloping their curriculum to reflect the type of student and graduate that they would like to see moving through their programs in the future.

Popularity rank :

It is how much a person, idea, place, item or other concept is either liked or accorded status by other people. Liking can be due to reciprocal liking, interpersonal attraction, and similar factors. Social status can be due to dominance, superiority, and similar factors. For example, a kind person may be considered likable and therefore more popular than another person, and a wealthy person may be considered superior and therefore more popular than another person.

There are two primary types of interpersonal popularity: perceived and sociometric. Perceived popularity is measured by asking people who the most popular or socially important people in their social group are. Sociometric popularity is measured by objectively measuring the number of connections a person has to others in the group. A person can have high perceived popularity without having high sociometric popularity, and vice versa.

Assuming that you end up with a high but negative gamma, what would that mean about the relationship between popularity rank and leadership rank?

There is no relationship between rank in popularity and rank in leadership.


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