ANCOVA

You are Dean of your Faculty at York. You have just met with one of the new assistant professors in one of your departments, for his annual performance evaluation. Professor X claims that his salary is much too low and he wants you to give him a raise. He claims he is particularly good at teaching and thus he deserves a raise. As evidence of this, he says that among the three sections of calculus taught in first year, his students get the highest grades on the final exam, which is common to all three sections.

You ask the Chair of that department to collect some data for you. She gives you final exam scores for a random sample of six students chosen from each of the three sections of Calculus.

Conduct a standard one-way ANOVA to assess whether the three sections differ in terms of final exam scores. What would you conclude based on the ANOVA?

The Chair calls you the next day and tells you that she also has available high-school mathematics grades for each of the students in the three sections of Calculus. She advises that you might want to take this information into consideration when comparing final grades in the three sections. She advises you that many of the students in Section III (Professor X’s section) came from the same private school in Toronto while students in Sections I and II are a more representative sample of typical students.

Conduct an ANCOVA in which you take into account the high-school grades of students. Based on the ANCOVA results, what can you conclude about the final exam scores from Sections I, II and III of Calculus? What can you conclude about Professor X’s claim? Will you give him a raise?

Include in your (brief) report and discuss: descriptive data, ANOVA tables, graphical displays, and anything else that you need to make your case.

Price: $11.42

Solution: The downloadable solution consists of 6 pages, 542 words and 4 charts.
Deliverable: Word Document