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.

Maffenini, W., Zenga, M. (2005). Bipolar mean for ordinal variables. STATISTICA & APPLICAZIONI, 3(1), 3-18.

Bipolar mean for ordinal variables

MAFFENINI, WALTER;ZENGA, MICHELE
2005

Abstract

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.
Articolo in rivista - Articolo scientifico
Bipolar mean; statistical dominance; decreasing frequency transfer; total orderin;, complete ordered chainS
English
2005
3
1
3
18
none
Maffenini, W., Zenga, M. (2005). Bipolar mean for ordinal variables. STATISTICA & APPLICAZIONI, 3(1), 3-18.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/1510
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