A New Descriptive Statistic for Functional Data: Functional Coefficient Of Variation
Journal Title: Alphanumeric Journal - Year 2016, Vol 4, Issue 2
Abstract
In this study, we propose a new descriptive statistic, coefficient of variation function, for functional data analysis and present its utilization. We recommend coefficient of variation function, especially when we want to compare the variation of multiple curve groups and when the mean functions are different for each curve group. Besides, obtaining coefficient of variation functions in terms of cubic B-Splines enables the interpretation of the first and second derivative functions of these functions and provides a stronger inference for the original curves. The utilization and effects of the proposed statistic is reported on a well-known data set from the literature. The results show that the proposed statistic reflects the variability of the data properly and this reflection gets clearer than that of the standard deviation function especially as mean functions differ.
Authors and Affiliations
İstem Köymen Keser, İpek Deveci Kocakoç, Ali Kemal Şehirlioğlu
Keywords
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- EP ID EP197265
- DOI 10.17093/aj.2016.4.2.5000185408
- Views 148
- Downloads 0
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