Comparing Different Linkage Methods. The Football Bowl Subdivision (FBS) level of the National Collegiate Athletic Association (NCAA) consists of over 100 schools. Most of these schools belong to one of several conferences, or collections of schools, that compete with each other on a regular basis in collegiate sports. Suppose the NCAA has commissioned a study that will propose the formation of conferences based on the similarities of constituent schools. If the NCAA cares only about geographic proximity of schools when determining conferences, it could use hierarchical clustering based on the schools' latitude and longitude values and Euclidean distance to compute dissimilarity between observations. The following charts and tables illustrate the 10-cluster solutions when using various linkage methods (group average, Ward's method, complete, and centroid) to determine clusters of schools to be assigned to conferences using hierarchical clustering. 

Compare and contrast the resulting clusters created using each of these different linkage methods for hierarchical clustering. Details A graph with horizontal axis ranging from negative 160 to negative 60 and vertical axis ranging from 19 to 54. A cluster of dots on the graph are concentrated between negative 130 and negative 70 on the horizontal axis and between 29 and 49 on