Ir al contenido

Documat


On the interpretation of differences between groups for compositional data

    1. [1] Universitat de Girona

      Universitat de Girona

      Gerona, España

  • Localización: Sort: Statistics and Operations Research Transactions, ISSN 1696-2281, Vol. 39, Nº. 2, 2015, págs. 231-252
  • Idioma: inglés
  • Enlaces
  • Resumen
    • Social polices are designed using information collected in surveys; such as the Catalan Time Use survey. Accurate comparisons of time use data among population groups are commonly analysed using statistical methods. The total daily time expended on different activities by a single person is equal to 24 hours. Because this type of data are compositional, its sample space has particular properties that statistical methods should respect. The critical points required to interpret differences between groups are provided and described in terms of log-ratio methods. These techniques facilitate the interpretation of the relative differences detected in multivariate and univariate analysis.

  • Referencias bibliográficas
    • Aitchison, J. (1982). The statistical analysis of compositional data (with discussion). Journal of The Royal Statistical Society Series B,...
    • Aitchison, J. (1986). The Statistical Analysis of Compositional Data. Chapman & Hall, London 416 pp. Reprinted in 2003 by Blackburn Press.
    • Aitchison, J. (2001). Simplicial inference. In: M. A. G. Viana and D. S. P. Richards (Eds.), Algebraic Methods in Statistics and Probability,...
    • Aitchison, J. and Greenacre, M. (2002). Biplots for compositional data. Journal of The Royal Statistical Society Series C (Applied Statistics),...
    • Aitchison, J. and Ng, K.W. (2005). The role of perturbation in compositional data analysis. Statistical Modelling, 5, 173–185.
    • Benjamini, Y. and Hochberg, Y. (1995). Controlling the false discovery rate: a practical and powerful approach to multiple testing. Journal...
    • Benjamini, Y. (2010). Discovering the false discovery rate. Journal of The Royal Statistical Society Series B, 72, 405–416.
    • Billheimer, D., Guttorp, P. and Fagan, W. (2001). Statistical interpretation of species composition. Journal of the American Statistical Association,...
    • Buccianti, A., Mateu-Figueras, G. and Pawlowsky-Glahn, V. (eds.) (2006). Compositional Data Analysis in the Geosciences: From Theory to Practice....
    • Comas-Cufı́, M. and Thió-Henestrosa, S. (2011). CoDaPack 2.0: a stand-alone, multi-platform compositional software. In: Egozcue, J. J.,...
    • Daunis-i-Estadella, J., Thió-Henestrosa, S. and Mateu-Figueras, G. (2011). Including supplementary elements in a compositional biplot. Computers...
    • Egozcue, J. J., Pawlowsky-Glahn, V., Mateu-Figueras, G. and Barceló-Vidal, C. (2003). Isometric logratio transformations for compositional...
    • Egozcue, J.J. and Pawlowsky-Glahn, V. (2005). Groups of parts and their balances in compositional data analysis. Mathematical Geology, 37,...
    • Egozcue, J.J. and Pawlowsky-Glahn, V. (2006). Simplicial geometry for compositional data. Geological Society, London, Special Publications,...
    • Johnson, R. A. and Wichern, D. W. (2007) Applied Multivariate Statistical Analysis (6th Edition). Pearson Book, Prentice-Hall.
    • Hesterberg, T., Moore, D. S., Monaghan, S., Clipson, A., Epstein, R., Craig, B. A. and McCabe, G.P. (2012). Bootstrap Methods and Permutation...
    • Martı́n-Fernández, J. A., Barceló-Vidal, C. and Pawlowsky-Glahn, V. (2003). Dealing with zeros and missing values in compositional data...
    • Mateu-Figueras, G., Pawlowsky-Glahn, V. and Egozcue, J. J. (2011). The principle of working on coordinates. Compositional Data Analysis: Theory...
    • Mateu-Figueras, G., Pawlowsky-Glahn, V. and Egozcue, J. J. (2013). The normal distribution in some constrained simple spaces. Statistics and...
    • Palarea-Albaladejo, J., Martı́n-Fernández, J. A. and Olea, R. A. (2014). Bootstrap estimation of distributional statistics from compositional...
    • Palarea-Albaladejo, J. and Martı́n-Fernández, J. A. (2014). zCompositions: Imputation of zeros and nondetects in compositional data sets....
    • Pawlowsky-Glahn, V. and Egozcue, J. J. (2001). Geometric approach to statistical analysis on the simplex. Stochastic Environmental Research...
    • Pawlowsky-Glahn, V. and Egozcue, J. J. (2011). Exploring compositional data with the CoDa-dendrogram, Austrian Journal of Statistics, 40,...
    • Pearson, K. (1897). Mathematical contributions to the theory of evolution. On a form of spurious correlation which may arise when indices...
    • R development core team (2014). R: A language and environment for statistical computing: Vienna, http: //www.r-project.org.
    • Seber, G. A. F. (1984). Multivariate Observations. Wiley, New York 685 pp. Reprinted in 2004 by Wiley.
    • Smith, H. , Gnanadesikan, R. and Hughes, J. B. (1962). Multivariate analysis of variance (MANOVA). Biometrics, 18, 22–41.
    • Wilks, S. S. (1932). Certain generalizations in the analysis of variance. Biometrika, 24, 471–494.

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno