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

2. 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.

3. 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.

4. 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.

5. Hierarchical Cluster Analysis
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.

6. Hierarchical Cluster Analysis: A 9-Cluster “Slice”
“Pacific Northwest”
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”