IMPROVING A MULTIFACTOR REGRESSION MODEL FOR ASSESSING THE WORK PERFORMANCE OF FACULTY MEMBERS IN HIGHER EDUCATION

Authors

DOI:

https://doi.org/10.5281/zenodo.23808846

Abstract

This article proposes an improved multifactor regression model for assessing the work performance of faculty members in higher education. The rapid expansion of higher education in Uzbekistan during 2023–2025 is analysed, and the main specification problems of conventional linear performance models are demonstrated using official regional data for the 2025/2026 academic year: the dominance of large units, multicollinearity among scale-related variables, and non-proportional relationships. The elasticity of teaching staff numbers with respect to student enrolment across regions is estimated at 0.75, indicating that the teaching load per faculty member increases with institutional scale. On this basis, an improved model is developed that combines within-discipline standardisation of indicators, a log-linear specification, multicollinearity diagnostics, robust standard errors, and department-level random effects, together with a procedure for deriving indicator weights from estimated coefficients.

Keywords

faculty performance, multifactor regression, higher education, multicollinearity, hierarchical model, key performance indicators, teaching load, research productivity

References

1. Oʻzbekiston Respublikasining 23.09.2020-yildagi “Taʼlim toʻgʻrisida”gi O‘RQ-637-sonli Qonuni, https://lex. uz/uz/docs/-5013007

2. Oʻzbekiston Respublikasi Prezidentining 08.10.2019-yildagi “Oʻzbekiston Respublikasi oliy taʼlim tizimini 2030-yilgacha rivojlantirish konsepsiyasini tasdiqlash toʻgʻrisida”gi PF-5847-sonli Farmoni, https://lex.uz/ docs/-4545884

3. Oʻzbekiston Respublikasi Prezidentining 10.04.2026-yildagi “Oliy taʼlim, fan va innovatsiyalar tizimini takomillashtirishning qoʻshimcha chora-tadbirlari toʻgʻrisida”gi PF-58-sonli Farmoni, https://lex.uz/uz/docs/-8129755

4. Oʻzbekiston Respublikasi Oliy va oʻrta maxsus taʼlim vazirining 08.10.2018-yildagi Oliy taʼlim muassasasi professor-oʻqituvchilar tarkibining oʻquv yuklamasi hamda oʻquv-uslubiy, ilmiy-tadqiqot va “ustoz-shogird” ishlarini belgilash qoidalarini tasdiqlash toʻgʻrisidagi ro‘yxatdan o‘tgan buyrugʻi, ro‘yxat raqami 3076 https:// lex.uz/docs/-3967278

5. Abramo, G., & D’Angelo, C. A. (2014). How do you define and measure research productivity?. Scientometrics, 101(2), 1129–1144. https://doi.org/10.1007/s11192-014-1269-8

6. Fairweather, J. S. (2002). The Mythologies of Faculty Productivity: Implications for Institutional Policy and Decision Making. The Journal of Higher Education, 73(1), 26–48. https://doi.org/10.1353/

7. Hattie, J., & Marsh, H. W. (1996). The Relationship Between Research and Teaching: A Meta-Analysis. Review of Educational Research, 66(4), 507–542.

8. Hicks, D., Wouters, P., Waltman, L., de Rijcke, S., & Rafols, I. (2015). Bibliometrics: The Leiden Manifesto for research metrics. Nature, 520, 429–431. https://doi.org/10.1038/520429a

9. Hirsch, J. E. (2005). An index to quantify an individual’s scientific research output. Proceedings of the National Academy of Sciences, 102(46), 16569–16572. https://doi.org/10.1073/

10. Kaplan, R. S., & Norton, D. P. (1992). The Balanced Scorecard — Measures That Drive Performance. Harvard Business Review, 70(1), 71–79.

11. Marsh, H. W., & Hattie, J. (2002). The Relation Between Research Productivity and Teaching Effectiveness: Complementary, Antagonistic, or Independent Constructs?. The Journal of Higher Education, 73(5), 603–641. https://doi.org/10.1353/jhe.2002.0047

12. National Statistics Committee of the Republic of Uzbekistan. Higher education in the Republic of Uzbekistan (2024/2025 academic year) [Electronic resource]. – URL: https://stat.uz/img/olij-talim-kiril_p51514.pdf.

13. National Statistics Committee of the Republic of Uzbekistan. Higher education in the Republic of Uzbekistan at the beginning of the 2025/2026 academic year [Electronic resource]. – URL: https://stat.uz/img/news/ olij-talim-kiril_p28106.pdf.

14. National Statistics Committee of the Republic of Uzbekistan. Main statistical indicators of the activity of higher education institutions in the Republic of Uzbekistan (2023/2024 academic year) [Electronic resource]. – URL: https://stat.uz/img/2023-olij-talim-uzb.pdf.

15. O’Brien, R. M. (2007). A Caution Regarding Rules of Thumb for Variance Inflation Factors. Quality & Quantity, 41, 673–690. https://doi.org/10.1007/s11135-006-9018-6

16. Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical Linear Models: Applications and Data Analysis Methods / S. W. Raudenbush, A. S. Bryk. Sage.

17. Spooren, P., Brockx, B., & Mortelmans, D. (2013). On the Validity of Student Evaluation of Teaching: The State of the Art. Review of Educational Research, 83(4), 598–642.

18. Uttl, B., White, C. A., & Gonzalez, D. W. (2017). Meta-analysis of faculty’s teaching effectiveness: Student evaluation of teaching ratings and student learning are not related. Studies in Educational Evaluation, 54, 22–42. https://doi.org/10.1016/j.stueduc.2016.08.007

19. Wooldridge, J. M. (2020). Introductory Econometrics: A Modern Approach / J. M. Wooldridge. Cengage Learning.

Downloads

Published

2026-10-30

How to Cite

Sultanova, K. M. kizi. (2026). IMPROVING A MULTIFACTOR REGRESSION MODEL FOR ASSESSING THE WORK PERFORMANCE OF FACULTY MEMBERS IN HIGHER EDUCATION. ECONOSCITECH INTEGRATION, 3(10), 480–486. https://doi.org/10.5281/zenodo.23808846
Vol. 3 No. 10 (2026): Social, economic, scientific and technical academic journal