This assignment demonstrates factor analysis and multidimensional scaling (MDS) which are procedures for obtaining perceptual maps. Suppose you were advising a close friend of yours who is considering joining an MBA program. Assume that your friend is very similar to you in terms of background, interests, and career plans. You are helping your friend evaluate the following nine schools on eight attributes: Chicago, Wharton, Harvard, Cornell, Stanford, Northwestern, Dartmouth, Columbia, and M.I.T. NOTE: If you do not know about business schools, create another scenario, e.g., nine schools of engineering, and create your own list of rating scales for eight attributes of your choice. Please rate each of nine schools on each of the eight attributes on a scale of 0 to 10. Attribute 1: Analytical/Managerial Orientation 0-----1-----2-----3-----4-----5-----6-----7-----8-----9-----10 Analytical Managerial Attribute 2: School Culture (Competitive/Cooperative) 0-----1-----2-----3-----4-----5-----6-----7-----8-----9-----10 Competitive Cooperative Attribute 3: Teaching Quality and Curriculum 0-----1-----2-----3-----4-----5-----6-----7-----8-----9-----10 Fair Excellent Attribute 4: Prestige of School in the Business World 0-----1-----2-----3-----4-----5-----6-----7-----8-----9-----10 Fair Excellent Attribute 5: Placement Possibilities 0-----1-----2-----3-----4-----5-----6-----7-----8-----9-----10 Fair Excellent Attribute 6: Faculty Research Strength 0-----1-----2-----3-----4-----5-----6-----7-----8-----9-----10 Fair Excellent Attribute 7: Alumni Network 0-----1-----2-----3-----4-----5-----6-----7-----8-----9-----10 Fair Excellent Attribute 8: Selectivity (Difficulty in Getting Admitted) 0-----1-----2-----3-----4-----5-----6-----7-----8-----9-----10 Medium High Chicago Wharton Harvard Cornell Stanford Northwester n Dartmouth Columbia MIT MIT Columbia Dartmouth Northwestern Stanford Cornell Harvard Wharton Chicago Please evaluate the difference between any pair of the nine schools in your perception, using a 010 point scale, where 0 means little difference, and 10 means huge difference 0 0 0 0 0 0 0 0 0 Question 1: Perform factor analysis based on the attribute rating data. How many factors are chosen by SPSS? Interpret what the factors mean and provide a label (name) for each factor. Question 2: Create a perceptual map based on the factor analysis based on the two most important factors identified from the analysis. Question 3: perform the Multidimensional Scaling analysis based on the perceived difference data. Examine the configuration plot provided by SPSS. What do dimensions 1 and 2 mean? A subjective interpretation is sufficient. Question 4: How do the dimensions in your answer to Question 3 correspond to the criteria you used in providing the difference judgments? Question 5: To what extent do the dimensions in Factor analysis (Question 1) and MDS (Question 3) correspond? Which of these two results makes more sense to you? Why? PLEASE ATTACH THE DATA (RATING DATA AND DIFFERENCE) AND SPSS OUTPUTS TO YOUR ANSWERS. IF YOU ANALYZE A DIFFERENT SCENARIOR, PLEASE ALSO INCLUDE YOUR LIST OF ATTRIBUTES AND SCHOOLS