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Preface to First Edition - lib

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CHAPTER 18Cluster Analysis: ClassifyingRomano-British Pottery andExoplanets18.1 IntroductionThe data shown in Table 18.1 give the chemical composition of 48 specimens ofRomano-British pottery, determined by a<strong>to</strong>mic absorption spectropho<strong>to</strong>metry,for nine oxides (Tubb et al., 1980). In addition <strong>to</strong> the chemical composition ofthe pots, the kiln site at which the pottery was found is known for these data.For these data, interest centres on whether, on the basis of their chemicalcompositions, the pots can be divided in<strong>to</strong> distinct groups, and how thesegroups relate <strong>to</strong> the kiln site.Table 18.1:pottery data. Romano-British pottery data.Al2O3 Fe2O3 MgO CaO Na2O K2O TiO2 MnO BaO kiln18.8 9.52 2.00 0.79 0.40 3.20 1.01 0.077 0.015 116.9 7.33 1.65 0.84 0.40 3.05 0.99 0.067 0.018 118.2 7.64 1.82 0.77 0.40 3.07 0.98 0.087 0.014 116.9 7.29 1.56 0.76 0.40 3.05 1.00 0.063 0.019 117.8 7.24 1.83 0.92 0.43 3.12 0.93 0.061 0.019 118.8 7.45 2.06 0.87 0.25 3.26 0.98 0.072 0.017 116.5 7.05 1.81 1.73 0.33 3.20 0.95 0.066 0.019 118.0 7.42 2.06 1.00 0.28 3.37 0.96 0.072 0.017 115.8 7.15 1.62 0.71 0.38 3.25 0.93 0.062 0.017 114.6 6.87 1.67 0.76 0.33 3.06 0.91 0.055 0.012 113.7 5.83 1.50 0.66 0.13 2.25 0.75 0.034 0.012 114.6 6.76 1.63 1.48 0.20 3.02 0.87 0.055 0.016 114.8 7.07 1.62 1.44 0.24 3.03 0.86 0.080 0.016 117.1 7.79 1.99 0.83 0.46 3.13 0.93 0.090 0.020 116.8 7.86 1.86 0.84 0.46 2.93 0.94 0.094 0.020 115.8 7.65 1.94 0.81 0.83 3.33 0.96 0.112 0.019 118.6 7.85 2.33 0.87 0.38 3.17 0.98 0.081 0.018 116.9 7.87 1.83 1.31 0.53 3.09 0.95 0.092 0.023 118.9 7.58 2.05 0.83 0.13 3.29 0.98 0.072 0.015 118.0 7.50 1.94 0.69 0.12 3.14 0.93 0.035 0.017 117.8 7.28 1.92 0.81 0.18 3.15 0.90 0.067 0.017 1315© 2010 by Taylor and Francis Group, LLC

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