An Example of Analyses of a Distance Matrix

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Presentation transcript:

An Example of Analyses of a Distance Matrix Distances between Selected U.S. Cities:

MDS Map: Distances between U.S. Cities Birmingham, Ala. Boston, Mass. Buffalo, N.Y. Chicago, Ill. Cleveland, Ohio Dallas, Tex. Denver, Colo. Detroit, Mich. El Paso, Tex. Houston, Tex. Indianapolis, Ind. Kansas City, Mo. Los Angeles, Calif. Louisville, Ky. Memphis, Tenn. Miami, Fla. Minneapolis, Minn. New Orleans, La. New York, N.Y. Omaha, Nebr. Philadelphia, Pa. Phoenix, Ariz. Pittsburgh, Pa. St. Louis, Mo. Salt Lake City, Utah San Francisco, Calif. Seattle, Wash. Washington, D.C.

MDS Map: Distances between U.S. Cities (Flipped and Rotated) Birmingham, Ala. Boston, Mass. Buffalo, N.Y. Chicago, Ill. Cleveland, Ohio Dallas, Tex. Denver, Colo. Detroit, Mich. El Paso, Tex. Houston, Tex. Indianapolis, Ind. Kansas City, Mo. Los Angeles, Calif. Louisville, Ky. Memphis, Tenn. Miami, Fla. Minneapolis, Minn. New Orleans, La. New York, N.Y. Omaha, Nebr. Philadelphia, Pa. Phoenix, Ariz. Pittsburgh, Pa. St. Louis, Mo. Salt Lake City, Utah San Francisco, Calif. Seattle, Wash. Washington, D.C.

MDS Map: Distances between U.S. Cities (Flipped and Rotated) Birmingham, Ala. Boston, Mass. Buffalo, N.Y. Chicago, Ill. Cleveland, Ohio Dallas, Tex. Denver, Colo. Detroit, Mich. El Paso, Tex. Houston, Tex. Indianapolis, Ind. Kansas City, Mo. Los Angeles, Calif. Louisville, Ky. Memphis, Tenn. Miami, Fla. Minneapolis, Minn. New Orleans, La. New York, N.Y. Omaha, Nebr. Philadelphia, Pa. Phoenix, Ariz. Pittsburgh, Pa. St. Louis, Mo. Salt Lake City, Utah San Francisco, Calif. Seattle, Wash. Washington, D.C.

Hierarchical Cluster Analysis 2000.00 1500.00 1000.00 500.00 0.00 Dissimilarity C1 Birmingham, Ala. C15 Memphis, Tenn. C18 New Orleans, La. C6 Dallas, Tex. C10 Houston, Tex. C12 Kansas City, Mo. C20 Omaha, Nebr. C17 Minneapolis, Minn. C2 Boston, Mass. C19 New York, N.Y. C21 Philadelphia, Pa. C28 Washington, D.C. C3 Buffalo, N.Y. C5 Cleveland, Ohio C23 Pittsburgh, Pa. C8 Detroit, Mich. C4 Chicago, Ill. C11 Indianapolis, Ind. C14 Louisville, Ky. C24 St. Louis, Mo. C16 Miami, Fla. C7 Denver, Colo. C25 Salt Lake City, Utah C9 El Paso, Tex. C13 Los Angeles, Calif. C22 Phoenix, Ariz. C26 San Francisco, Calif. C27 Seattle, Wash.

Hierarchical Cluster Analysis: A 9-Cluster “Slice” “Pacific Northwest” 2000.00 1500.00 1000.00 500.00 0.00 Dissimilarity C1 Birmingham, Ala. C15 Memphis, Tenn. C18 New Orleans, La. C6 Dallas, Tex. C10 Houston, Tex. C12 Kansas City, Mo. C20 Omaha, Nebr. C17 Minneapolis, Minn. C2 Boston, Mass. C19 New York, N.Y. C21 Philadelphia, Pa. C28 Washington, D.C. C3 Buffalo, N.Y. C5 Cleveland, Ohio C23 Pittsburgh, Pa. C8 Detroit, Mich. C4 Chicago, Ill. C11 Indianapolis, Ind. C14 Louisville, Ky. C24 St. Louis, Mo. C16 Miami, Fla. C7 Denver, Colo. C25 Salt Lake City, Utah C9 El Paso, Tex. C13 Los Angeles, Calif. C22 Phoenix, Ariz. C26 San Francisco, Calif. C27 Seattle, Wash. “West Coast” “West” “Rocky Mountain” “Southeast” “North Central” “Northeast” “Midwest” “South”