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On some measures of ordinal variation

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  • Christian H. Weiß

Abstract

A family of variation measures for ordinal data or ordinal time series is considered. The asymptotic distribution of these measures is derived under different scenarios, and the performance of the resulting approximations is investigated with simulations. Possible applications include the bias correction of point estimates, the computation of confidence intervals as well as a test for maximal dispersion. A couple of real-data examples are presented to illustrate the application and interpretation of the ordinal variation measures.

Suggested Citation

  • Christian H. Weiß, 2019. "On some measures of ordinal variation," Journal of Applied Statistics, Taylor & Francis Journals, vol. 46(16), pages 2905-2926, December.
    • Handle: RePEc:taf:japsta:v:46:y:2019:i:16:p:2905-2926
    DOI: 10.1080/02664763.2019.1620707
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    Cited by:

    1. Yariv N. Marmor & Emil Bashkansky, 2024. "Reliability of Partitioning Metric Space Data," Mathematics, MDPI, vol. 12(4), pages 1-18, February.
    2. Célestin C. Kokonendji & Sobom M. Somé, 2021. "Bayesian Bandwidths in Semiparametric Modelling for Nonnegative Orthant Data with Diagnostics," Stats, MDPI, vol. 4(1), pages 1-22, March.
    3. Cappelletti-Montano, Beniamino & Columbu, Silvia & Montaldo, Stefano & Musio, Monica, 2022. "Interpreting the outcomes of research assessments: A geometrical approach," Journal of Informetrics, Elsevier, vol. 16(1).

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