Tests for identifying the unchanging reference component of compositional data using the properties of the coefficient of variation
Visualitza/Obre
Estadístiques de LA Referencia / Recolecta
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/366678
Tipus de documentText en actes de congrés
Data publicació2011
EditorCIMNE
Condicions d'accésAccés obert
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Abstract
In analyses of compositional data, it is important to select a suitable unchanging component as a reference to
detect the behavior of a single variable in isolation. This paper introduces two tests for detecting the
unchanging component, based on a new approach that utilizes the coefficient of variation of component
ratios. That is, the coefficient of variation of a compositional ratio is subject to change when the unchanging
component is switched between the denominator and numerator, and the coefficient of variation tends to be
small when the unchanging component occurs as the denominator against any arbitrary components (Test 1).
In addition, the ratio of the component pair that gives the lowest coefficient of variation is most likely to
represent the two unchanging components (Test 2). However, Tests 1 and 2 are not necessary and sufficient
conditions for uniquely finding the unchanging component. To verify the effectiveness of the tests, 500
artificial data sets were analyzed and the results suggest that the tests are able to identify the unchanging
component, although Test 1 underperforms when the data set includes a component with skewness greater
than 0.5, and Test 2 fails when the data set includes components with a correlation coefficient greater than
0.75. These defects can be overcome by interpreting the two test results in a complementary manner. The
proposed tests provide powerful yet simple criteria for identifying the unchanging component in
compositional data; however, the reliability of this approach needs to be assessed in further studies.
CitacióOhta, T.; Arai, H.; Noda, A. Tests for identifying the unchanging reference component of compositional data using the properties of the coefficient of variation. A: CODAWORK 2011. "Proceedings of CoDaWork'11: 4th international workshop on Compositional Data Analysis, Egozcue, J.J., Tolosana-Delgado, R. and Ortego, M.I. (eds.) 2011". Barcelona: CIMNE, 2011, ISBN 978-84-87867-76-7.
ISBN978-84-87867-76-7
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p12-CoDaWork2011.pdf | 768,9Kb | Visualitza/Obre |