Analysis of the Relationship Between Economic & Social Factors and the Global Happiness Index Using a Canonical Correlation Analysis Approach
DOI:
https://doi.org/10.32665/james.v9i1.5076Keywords:
Canonical Correlation, Economic factors, Social Factors, World HappinessAbstract
This study aims to analyze the multivariate relationship between socioeconomic factors and global happiness indicators.Data taken from the 2019 World Happiness Report, which covers 125 countries, was analyzed using canonical correlation methods. The socio-economic dimension is represented by four variables, namely social support, freedom to make life choices, log GDP per capita, and healthy life expectancy. Meanwhile, the second group of variables representing happiness indicators includes ladder score, positive affect, and negative affect. The first canonical function shows a very strong and statistically significant relationship between the two sets of variables. The resulting canonical correlation is very high, namely rho_1=0.9243 with a p-value < 0.001, and this function is able to explain 85.4% of the overlapping variance. The main contributing variables are social support with a loading of 0.983 and log GDP per capita of 0.914 in the socio-economic set, as well as ladder score with a loading of 0.997 in the happiness set. Meanwhile, the second and third canonical functions generated in this analysis show relatively limited contributions. The results of this analysis confirm that social support and economic prosperity play a fundamental role in a country's happiness. The policy implications of these findings emphasize the need for integrated interventions that simultaneously strengthen social capital and promote sustainable economic growth.
References
Anas, M., Umar, N. F., & Harum, A. (2022). Faktor-faktor yang mempengaruhi kebahagiaan siswa. JURKAM: Jurnal Konseling Andi Matappa, 6(1), 51–64. https://doi.org/10.31100/jurkam.v6i1.2123
Afthanorhan, A., Awang, Z., & Aimran, N. (2020). An extensive comparison of CB-SEM and PLS-SEM for reliability and validity. International Journal of Data and Network Science, 4(4), 357–364. https://doi.org/10.5267/j.ijdns.2020.9.003
Agustina, W., & Wulandari, W. (2023). Collaborative governance dalam meningkatkan indeks kebahagiaan masyarakat (index of happiness) di Kota Bandung. Jurnal Pemerintahan dan Politik, 8(3), 173–182. https://doi.org/10.36982/jpg.v8i3.3164
Angela, A. L. (2018). Analisis indeks kebahagiaan di Indonesia. Equator Journal of Management and Entrepreneurship, 6(1), 1–14. https://doi.org/10.26418/ejme.v6i1.28791
Bae, E., Hur, J., Kim, J., Kwon, J. S., & Lee, J. (2020). Multi-group analysis using generalized additive kernel canonical correlation analysis. Scientific Reports, 10, Article 12624. https://doi.org/10.1038/s41598-020-69575-x
Berisha, B., Qehaja, D., Hoti, A., & Gara, A. (2026). Wealth gap and happiness: A Southeast European (SEE) perspective. International Journal of Sociology and Social Policy, 46(1–2), 261–273.
Bruna, F., & Rungo, P. (2020). A note on the concavity of the happiness function in family support. Economics Bulletin, 40(2), 1122–1131.
Carr, A. (2003). Positive psychology: The science of happiness and human strengths. Routledge. https://doi.org/10.4324/9780203506035
Cimpoeru, S. (2023). Impact of income and unemployment on happiness: Panel data evidence for European countries. Applied Economics Letters, 30(8), 1047–1051. https://doi.org/10.1080/13504851.2022.2035666
Dance, C., Lybecker, D., & Szczygiel, N. (2025). Well-being and life satisfaction versus income. In Vocabulary for sustainable consumption and lifestyles (pp. 238–242). Routledge.
Fukushima, S., Uchida, Y., & Takemura, K. (2021). Do you feel happy when other members look happy? Moderating effect of community-level social capital on interconnection of happiness. International Journal of Psychology, 56(5), 642–653. https://doi.org/10.1002/ijop.12744
Hair, J. F., Black, W. C., Babin, B. J., & Anderson, R. E. (2006). Multivariate data analysis (6th ed.). Pearson Prentice Hall.
Helliwell, J., Layard, R., & Sachs, J. (2019). World happiness report 2019. Sustainable Development Solutions Network.
Helliwell, J. F., Layard, R., & Sachs, J. D. (2023). World happiness report 2023. Sustainable Development Solutions Network.
Indah, S., & Magriasti, L. (2023). Peran indeks kebahagiaan (human happiness index) dalam perumusan kebijakan publik di Indonesia. Jurnal Pendidikan Tambusai, 7(3), 30001–30012. https://doi.org/10.31004/jptam.v7i3.11842
Johnson, R. A., & Wichern, D. W. (2007). Applied multivariate statistical analysis (6th ed.). Pearson.
Kumalasari, D. A., & Yasa, I. G. W. M. (2020). Pengaruh faktor-faktor yang mempengaruhi tingkat kebahagiaan negara di dunia. E-Jurnal Ekonomi Pembangunan Universitas Udayana, 9(5), 963–992.
Lovakov, A., & Agadullina, E. R. (2021). Empirically derived guidelines for effect size interpretation in social psychology. European Journal of Social Psychology, 51(3), 485–504. https://doi.org/10.1002/ejsp.2752
OECD. (2013). Guidelines on measuring subjective well-being. OECD Publishing.
Pillai, S. E., & Hu, W. (2024). Privacy-preserving gross domestic product (GDP) calculation using Paillier encryption and differential privacy. In Proceedings of the 2024 ACM Southeast Conference (pp. 182–187). https://doi.org/10.1145/3603287.3651188
Puritz, C., Ness-Cohn, E., & Braun, R. (2023). fasano.franceschini.test: An implementation of a multivariate KS test in R. The R Journal, 15(3), 159–171. https://doi.org/10.32614/RJ-2023-067
Salmeron-Gomez, R., Garcia-Garcia, C. B., & Garcia-Perez, J. (2025). A redefined variance inflation factor: Overcoming the limitations of the variance inflation factor. Computational Economics, 65(1), 337–363. https://doi.org/10.1007/s10614-024-10575-8
Sherry, A., & Henson, R. K. (2005). Canonical correlation analysis: Use of composite variables for investigating relationships. Psychological Methods, 10(3), 381–391. https://doi.org/10.1037/1082-989X.10.3.381
Tran, T. P. (2020). Ho Chi Minh thought on solidarity and the social sustainable development in Vietnam. E3S Web of Conferences, 164, Article 12004. https://doi.org/10.1051/e3sconf/202016412004
Downloads
Published
Issue
Section
Categories
License
Copyright (c) 2026 Journal of Mathematics Education and Science

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) before and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work
PDF Download: 2












