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Entropy 2016, 18(10), 357;

Ordering Quantiles through Confidence Statements

Queen’s University Belfast, Belfast BT7 1NN, Ireland, UK
Institute of Mathematics and Statistics, University of São Paulo, São Paulo 05508-090, Brazil
Centre for Statistics in the Biomedical Sciences, Vita-Salute San Raffaele University, Milan 20132, Italy
Department of Statistics, Federal University of São Carlos, São Carlos 13565-905, Brazil
These authors contributed equally to this work.
Author to whom correspondence should be addressed.
Academic Editor: Kevin H. Knuth
Received: 8 June 2016 / Revised: 7 September 2016 / Accepted: 26 September 2016 / Published: 8 October 2016
(This article belongs to the Special Issue Statistical Significance and the Logic of Hypothesis Testing)
Full-Text   |   PDF [1230 KB, uploaded 8 October 2016]   |  


Ranking variables according to their relevance to predict an outcome is an important task in biomedicine. For instance, such ranking can be used for selecting a smaller number of genes for then applying other sophisticated experiments only on genes identified as important. A nonparametric method called Quor is designed to provide a confidence value for the order of arbitrary quantiles of different populations using independent samples. This confidence may provide insights about possible differences among groups and yields a ranking of importance for the variables. Computations are efficient and use exact distributions with no need for asymptotic considerations. Experiments with simulated data and with multiple real -omics data sets are performed, and they show advantages and disadvantages of the method. Quor has no assumptions but independence of samples, thus it might be a better option when assumptions of other methods cannot be asserted. The software is publicly available on CRAN. View Full-Text
Keywords: genomics; quantiles; median order; nonparametric; significance index genomics; quantiles; median order; nonparametric; significance index

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de Campos, C.P.; de B. Pereira, C.A.; Rancoita, P.M.V.; Polpo, A. Ordering Quantiles through Confidence Statements. Entropy 2016, 18, 357.

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