Abstract
Nowadays, new types of data are emerging from lots of distinct real-life experiments and statistical researchers need to develop new tools to deal with them. For instance, interval-valued responses arise as an alternative to Likert-type responses in questionnaires measuring people’s behavior (their attitudes, opinions, perceptions, feelings, etc.). In order to facilitate the comparison of different analysis involving several rating scales and with the aim of studying the effect size measure for difference between two independent groups, in this paper we extend the concept of Cohen’s d index established for real numbers to the interval-valued data context. Finally, a real-life example has been included to motivate and illustrate the problem.
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Acknowledgement
The research in this paper has been partially supported by from Principality of Asturias Grant AYUD/2021/50897, and the Spanish Ministry of Economy and Business Grant PID2019-104486GB-I00. Their financial support is gratefully acknowledged. The authors would like to the reviewers for valuable and helpful comments to improve the quality of this work.
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Lubiano, M.A., García-García, J., García-Izquierdo, A.L., Castaño, A.M. (2023). The Extended Version of Cohen’s d Index for Interval-Valued Data. In: García-Escudero, L.A., et al. Building Bridges between Soft and Statistical Methodologies for Data Science . SMPS 2022. Advances in Intelligent Systems and Computing, vol 1433. Springer, Cham. https://doi.org/10.1007/978-3-031-15509-3_35
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DOI: https://doi.org/10.1007/978-3-031-15509-3_35
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