Contributions to the exploratory analysis of compositional data

Access this Article

博士論文

Contents / p1 (0004.jp2)
1 Introduction / p1 (0006.jp2)
2 Introductory Review to the Analysis of Compositional Data / p4 (0009.jp2)
2.1 Introduction / p4 (0009.jp2)
2.2 Compositional Basic Definitions and some Features / p5 (0010.jp2)
2.3 Difficulties in the use of Crude Compositions / p8 (0013.jp2)
2.4 Aitchison's Methodology for Compositional Data / p10 (0015.jp2)
2.5 Parametric Classes of Distribution on the Simplex / p16 (0021.jp2)
2.6 Comments / p18 (0023.jp2)
3 Location Measures for Compositions / p19 (0024.jp2)
3.1 Introduction / p19 (0024.jp2)
3.2 Our Strategy to choose a Location of Compositions / p20 (0025.jp2)
3.3 Empirical Performance of the Location Measures / p23 (0028.jp2)
3.4 Conclusions / p26 (0031.jp2)
4 Dissimilarity or Distance Measures to Cluster Compositions / p39 (0044.jp2)
4.1 Introduction / p39 (0044.jp2)
4.2 Contrasting Concepts defining a Compositional Distance / p40 (0045.jp2)
4.3 Our Strategy to choose a Compositional Distance / p41 (0046.jp2)
4.4 Applications and Results / p43 (0048.jp2)
4.5 Conclusions / p55 (0060.jp2)
5 Biplot Ideas for Measures of Compositional Difference / p57 (0062.jp2)
5.1 Introduction / p57 (0062.jp2)
5.2 Biplot Graphical Display and some of its Variants / p58 (0063.jp2)
5.4 Conclusions / p65 (0070.jp2)
6 Conclusions and Future Directions / p76 (0081.jp2)
Appendix A / p78 (0083.jp2)
References / p82 (0087.jp2)