The elements of Table 14.10 give the Mahalanobis distances (see Chapter 12 for a definition) between ten types of galaxy calculated from raw data on seven variables such as diameter, brightness, and color observed on 273 galaxies. Apply classical scaling to these distances and construct what you consider relevant diagrams to visualize the solution. (For an interesting interpretation of the diagram(s), you should take a look at Barnett, 1981 or Nathanson, 1971.)

Transcribed Image Text:

TABLE 14.10 Inter-group Mahalanobis Distances for Ten Types of Galaxy I I(rregulars) 0.00 SBC SBC Sc Sbb Sb Sba Sa SBO SO E 3.29 0.00 2.79 1.13 0.00 3.52 1.75 1.45 0.00 3.77 2.97 1.71 2.02 0.00 Sc Sbb Sb Sba Sa SBO 3.27 3.01 2.13 1.89 3.93 3.72 3.00 2.25 1.27 0.00 1.86 0.68 0.00 SO 3.86 5.12 4.11 3.24 3.77 5.70 4.85 3.85 3.41 1.74 E(llipticals) 4.12 6.88 6.02 7.03 5.38 4.09 4.03 2.24 3.15 1.59 1.51 0.00 2.05 0.91 0.00 1.87 0.00