Bipolar mean for ordinal variables

Name: Bipolar mean for ordinal variables
Brand: Vita e Pensiero
Availability: OnlineOnly

digital

Article

Magazine

STATISTICA & APPLICAZIONI

Section

Open Access

Title

Bipolar mean for ordinal variables

Authors

Walter Maffenini, Michele Zenga

Publisher

Vita e Pensiero

Format

Article |

Pdf

Pages

Language

English

Online from

06-2016

Issn

1824-6672 (print) | 2283-6659 (digital)

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Description Readers' comments

This paper proposes, for ordinal variables, a new type of mean called bipolar mean, that is a frequency distribution with the total size n concentrated on one category or on two consecutive categories. The bipolar mean is coherent with the usual statistics dominance that is based on the retro-cumulative frequencies. The paper shows that the number of bipolar means that it is possible to get for the frequency distributions with k categories and total size n is nk –n+1. Note that the traditional means utilised for ordinal variables (the median and the mode) take only k categories. Two applications are presented to show how the BM works.

Keywords: Bipolar mean; statistical dominance; decreasing frequency transfer; total ordering, complete ordered chain.

Authors biography

Walter Maffenini, Dipartimento di Metodi Quantitativi per le Scienze Economiche ed Aziendali – Università degli Studi di Milano-Bicocca – Piazza dell’Ateneo Nuovo, 1, 20126 MILANO (e-mail: walter.maffenini@unimib.it).
Michele Zenga, Dipartimento di Statistica e Metodi Quantitativi - Universita` Milano-Bicocca, Via Bicocca Degli Arcimboldi, 8 - 20126 MILANO (e-mail: michele.zenga@unimib.it).

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