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Tucker3 Model for Compositional Data

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  • Michele Gallo

Abstract

For the exploratory analysis of three-way data, the Tucker3 is one of the most applied models to study three-way arrays when the data are quadrilinear. When the data consist of vectors of positive values summing to a unit, as in the case of compositional data, this model should consider the specific problems that compositional data analysis brings. The main purpose of this paper is to describe how to do a Tucker3 analysis of compositional data, and to show the relationships between the loading matrices when different preprocessing procedures are used.

Suggested Citation

  • Michele Gallo, 2015. "Tucker3 Model for Compositional Data," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(21), pages 4441-4453, November.
    • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:21:p:4441-4453
    DOI: 10.1080/03610926.2013.798664
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    Cited by:

    1. Jámbor, Attila & Kovács, Sándor & Somai, Miklós, 2016. "Tíz év az Európai Unióban - az új tagországok agrárteljesítményei [A decade in the EU: the agricultural performances of the new member-states]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(3), pages 260-284.
    2. Violetta Simonacci & Michele Gallo, 2019. "Detecting Public Social Spending Patterns in Italy Using a Three-Way Relative Variation Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 146(1), pages 205-219, November.
    3. Maria Anna Di Palma & Michele Gallo, 2019. "External Information Model in a Compositional Perspective: Evaluation of Campania Adolescents’ Preferences in the Allocation of Leisure-Time," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 146(1), pages 117-133, November.
    4. Nnamdi Ifeanyi Maduekwe & Francis A. Adesina, 2022. "Can remittances contribute to financing climate actions in developing countries? Evidence from analyses of households’ climate hazard exposure and adaptation actors in SE Nigeria," Mitigation and Adaptation Strategies for Global Change, Springer, vol. 27(1), pages 1-22, January.
    5. Michele Gallo & Violetta Simonacci & Maria Anna Palma, 2019. "An integrated algorithm for three-way compositional data," Quality & Quantity: International Journal of Methodology, Springer, vol. 53(5), pages 2353-2370, September.

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