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A Standardized Treatment of Binary Similarity Measures with an Introduction to k-Vector Percentage Normalized Similarity

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  • Brian Stacey

Abstract

This paper attempts to codify a standard nomenclature for similarity measures based on recent literature and to advance the field of similarity measures through the introduction of non-binary similarity between more than two attribute vectors. The nomenclature standardization is accomplished through the integration of common terminology into non-binary similarity measures, and the refinement of the terminology with regard to k-vector binary and non-binary measures. This nomenclature standardization lays the groundwork for the introduction of k-vector percentage normalized similarity measures that follow the same fundamental form as pre-existing binary measures; a method not previously documented.Mathematics Subject Classification: 68; 91Keywords: Binary Similarity; Nonbinary Similarity; Nonparametric Similarity Testing; Multivector Similarity

Suggested Citation

  • Brian Stacey, 2017. "A Standardized Treatment of Binary Similarity Measures with an Introduction to k-Vector Percentage Normalized Similarity," Journal of Statistical and Econometric Methods, SCIENPRESS Ltd, vol. 6(1), pages 1-3.
    • Handle: RePEc:spt:stecon:v:6:y:2017:i:1:f:6_1_3
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    References listed on IDEAS

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    1. DeSarbo, Wayne S. & De Soete, Geert & Eliashberg, Jehoshua, 1987. "A new stochastic multidimensional unfolding model for the investigation of paired comparison consumer preference/choice data," Journal of Economic Psychology, Elsevier, vol. 8(3), pages 357-384, September.
    2. Luca Benedictis & Lucia Tajoli, 2007. "Economic integration and similarity in trade structures," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 34(2), pages 117-137, April.
    3. Leo Egghe, 2010. "Good properties of similarity measures and their complementarity," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 61(10), pages 2151-2160, October.
    4. Leo Egghe, 2010. "Good properties of similarity measures and their complementarity," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 61(10), pages 2151-2160, October.
    5. Ali Seyed Shirkhorshidi & Saeed Aghabozorgi & Teh Ying Wah, 2015. "A Comparison Study on Similarity and Dissimilarity Measures in Clustering Continuous Data," PLOS ONE, Public Library of Science, vol. 10(12), pages 1-20, December.
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    More about this item

    Keywords

    binary similarity; nonbinary similarity; nonparametric similarityâ testing; multivector similarity;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

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