Abstract
Dispersion is a statistical term which is used to describe the variability of a dataset. In statistics and probability, the coefficient of variation (CV) is a widely used as a standardized measure of dispersion. However, CV is not advisable in applications where mean of dataset is close to zero. In this paper, we have derived an alternate measure of dispersion called scatter index which is based on relative frequency of observations. The novelty of the study is that the derived SI not only describes the consistency of a set of frequency of observations when mean value closes to zero, but it can also be used to quantify how scattered or localized the frequency of observation is within dataset irrespective of its mean value.
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Bhattacharya, D., Sinha, N. (2022). Scatter Index: An Alternative Measure of Dispersion Based on Relative Frequency of Occurrence of Observations. In: Bhateja, V., Khin Wee, L., Lin, J.CW., Satapathy, S.C., Rajesh, T.M. (eds) Data Engineering and Intelligent Computing. Lecture Notes in Networks and Systems, vol 446. Springer, Singapore. https://doi.org/10.1007/978-981-19-1559-8_7
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DOI: https://doi.org/10.1007/978-981-19-1559-8_7
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