In this paper an alternative formulation of the mean deviation about the bipolar mean is provided. In addition to this, the concept of bipolar mean-independence is defined in order to evaluate how conditional bipolar means change according to the value of another variable jointly considered. This concept arises from the well-known notion of mean dependence but it exploits the idea DJ the bipolar mean which can be used also for qualitative ordinal variables. A normalized index that measures the strength of the bipolar mean-dependence is also provided. An application presented which highlights the simplicity and interpretability of the proposed methodology.
Bagnato, L., Zenga, M., Maffenini, W. (2019). The Bipolar Mean Dependece [Working paper del dipartimento].
The Bipolar Mean Dependece
BAGNATO, LUCA;ZENGA, MARIANGELA;MAFFENINI, WALTER
2019
Abstract
In this paper an alternative formulation of the mean deviation about the bipolar mean is provided. In addition to this, the concept of bipolar mean-independence is defined in order to evaluate how conditional bipolar means change according to the value of another variable jointly considered. This concept arises from the well-known notion of mean dependence but it exploits the idea DJ the bipolar mean which can be used also for qualitative ordinal variables. A normalized index that measures the strength of the bipolar mean-dependence is also provided. An application presented which highlights the simplicity and interpretability of the proposed methodology.File | Dimensione | Formato | |
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