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Distributional Equivalence and Subcompositional Coherence in the Analysis of Compositional Data, Contingency Tables and Ratio-Scale Measurements

Authors
Disciplines
  • Archaeology

Abstract

COMPOSITIONAL DATA ANALYSIS OF ARCHAEOLOGICAL GLASS: PROBLEMS AND POSSIBLE SOLUTIONS C.C. Beardah1, M.J. Baxter1, H.E.M. Cool2and C.M. Jackson3 1School of Science, Nottingham Trent University, UK; [email protected] 2Barbican Research Associates, 16 Lady Bay Road, West Bridgford, Nottingham NG2 5BJ, UK 3Department of Archaeology, University of Sheffield, Northgate House, West Street, Sheffield S1 4ET, UK 1 Introduction Table 1, which shows a subset of archaeological glass compositional data for a particular Romano- British glass vessel type, facet-cut beakers, reproduces Table 1 of Baxter and Beardah (2003). The full data set, and data for three other vessel types, is given in Baxter, Cool and Jackson (2003), where the archaeological background is discussed. Sample Al Fe Mg Ca Na K Ti P Mn Sb Pb Other 10 1.36 0.58 0.49 4.10 17.68 0.67 0.10 0.05 0.06 2.84 0.39 71.68 11 1.77 0.44 0.54 5.51 18.22 0.51 0.07 0.04 0.02 0.76 0.11 72.01 12 2.20 0.36 0.46 7.29 16.71 0.74 0.05 0.06 0.03 1.59 0.01 70.50 13 1.93 0.34 0.45 6.52 18.17 0.49 0.06 0.04 0.02 1.38 0.02 70.58 14 2.38 0.38 0.42 6.63 17.17 1.01 0.06 0.05 0.03 1.47 0.41 69.99 15 1.96 0.33 0.40 6.68 19.46 0.56 0.05 0.06 0.02 2.84 0.14 67.50 24 1.92 0.27 0.25 4.15 17.84 0.53 0.04 0.04 0.03 1.36 0.29 73.28 25 1.84 0.37 0.37 5.66 19.23 0.65 0.06 0.05 0.02 0.98 0.15 70.62 26 1.90 0.43 0.47 5.62 18.94 0.55 0.08 0.04 0.02 0.99 0 70.96 27 1.82 0.33 0.38 6.31 17.80 0.58 0.06 0.05 0.01 0.65 0.08 71.93 28 1.84 0.36 0.40 4.78 18.15 0.46 0.06 0.04 0.02 1.10 0 72.79 29 1.37 0.57 0.45 3.84 18.20 0.65 0.11 0.06 0.07 2.23 0.32 72.13 40 2.10 0.35 0.32 5.21 16.76 0.57 0.05 0.04 0.01 1.23 0.01 73.35 41 2.03 0.33 0.31 5.00 16.73 0.53 0.05 0.03 0.01 1.19 0.01 73.78 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Table 1: A subset of compositional data for 63 Romano-British colourless facet-cut beakers. The ‘other’ category is obtained by difference. Such data may be analyzed using

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