Leveraging Statistical Thinking for Digital Innovation: Reframing Uncertainty in Engineering Decision-Making

Authors

DOI:

https://doi.org/10.4108/dtip.9796

Keywords:

Statistical Thinking, Uncertainty Management, Digitalisation, Industry 4.0., Engineering Innovation, Data-Driven Decision-Making, Probabilistic Models, Resilience in Industrial Systems, AI in Engineering

Abstract

INTRODUCTION: Contemporary engineering operates in a data-rich yet uncertainty-laden landscape, particularly under the technological shifts introduced by Industry 4.0. While foundational, deterministic models frequently fail to address the ambiguity, variability, and incompleteness inherent in real-world data, this paper examines the growing need to embed statistical reasoning within digital engineering decision-making processes to ensure robustness and interpretability.

OBJECTIVES: The study aims to investigate how statistical thinking contributes to innovation, transparency, and adaptive decision-making in digitalized engineering systems. It identifies conceptual gaps and underexplored themes in current literature and emphasizes the strategic relevance of probabilistic reasoning in addressing uncertainty across complex industrial settings.

METHODS: A hybrid scoping review methodology was applied, combining a semantic AI-driven search via Elicit with a structured bibliographic query in Scopus. The resulting corpus of 928 curated publications was analysed through bibliometric techniques and social network analysis using VOSviewer. This comprehensive process enabled the identification of co-occurrence patterns, thematic clusters, and evolving disciplinary linkages, ensuring the credibility and reliability of the findings.

RESULTS: Five primary research clusters emerged: decision optimization, risk management and human factors, machine learning integration, digital information systems, and sustainability. These clusters represent key areas where probabilistic modelling and uncertainty quantification can significantly enhance engineering practices. Although AI and big data analytics are increasingly prevalent, the underrepresentation of probabilistic modelling and uncertainty quantification in these clusters reveals a disconnect between data-centric innovation and risk-aware engineering practice.

CONCLUSION: A conceptual shift toward probabilistic reasoning is advocated as a necessary response to the complexity of modern digital engineering environments. Repositioning statistical thinking as a central enabler of digital transformation supports the development of resilient, interpretable, and future-ready engineering systems. Integrating these methodologies into engineering curricula, AI pipelines, and industrial decision-support infrastructures is essential for advancing strategic, uncertainty-aware innovation.

References

[1] Maitland, E., Sammartino, A. Decision-making and uncertainty: The role of heuristics and experience in assessing a politically hazardous environment. Strateg. Manag. J. 2015; 36(10): 1554–1578. https://doi.org/10.1002/smj.2297

[2] Snee, R. D. Closing the gap: Statistical engineering can bridge statistical thinking with methods and tools. Qual. Prog. 2010; 43(5): 52–53.

[3] Pelz, P. F., Pfetsch, M. E., Kersting, S., Kohler, M., Matei, A., Melz, T., Platz, R., Schaeffner, M., Ulbrich, S. Types of uncertainty. Pelz, P. F., Groche, P., Pfetsch, M. E., Schaeffner, M. (eds) Mastering Uncertainty in Mechanical Engineering. Springer Tracts in Mechanical Engineering, Springer, Cham, 2021. p. 25–42. https://doi.org/10.1007/978-3-030-78354-9_2

[4] Abdar, M., Pourpanah, F., Hussain, S., Rezazadegan, D., Liu, L., Ghavamzadeh, M., Fieguth, P., Cao, X., Khosravi, A., Acharya, U. R., Makarenkov, V., Nahavandi, S. A review of uncertainty quantification in deep learning: Techniques, applications, and challenges. Inf. Fusion. 2021; 76: 243–297. https://doi.org/10.1016/j.inffus.2021.05.008

[5] Whitfield, S., Hofmann, M. A. Elicit: AI literature review research assistant. Public Serv. Q. 2023; 19(3): 201–207. https://doi.org/10.1080/15228959.2023.2224125

[6] van Eck, N. J., Waltman, L. Software survey: VOSviewer, a computer program for bibliometric mapping. Scientometrics, 2010; 84(2): 523–538. https://doi.org/10.1007/s11192-009-0146-3

[7] van Eck, N. J., Waltman, L. Visualizing bibliometric networks. Ding, Y., Rousseau, R., Wolfram, D. (eds) Measuring Scholarly Impact, Springer. 2014. p. 285–320. https://doi.org/10.1007/978-3-319-10377-8_13

[8] Leão, C.P., Gonçalves, A.M., Malheiro, M.T. Decoding Engineering Uncertainty: The Uncovered Potential of Statistical Thinking. Machado, J., Trojanowska, J., Ottaviano, E., Xavior, M.A., Valášek, P., Basova, Y. (eds) Innovations in Mechanical Engineering IV. icieng 2025. Lecture Notes in Mechanical Engineering. Springer, Cham. 2025. p. 433-442. https://doi.org/10.1007/978-3-031-93554-1_39

[9] Kessels, B.M., Fey, R.H.B. Uncertainty quantification in real-time parameter updating for digital twins using Bayesian inverse mapping models. Nonlinear Dyn. 2025; 113:7613–7637. https://doi.org/10.1007/s11071-024-10608-9

[10] Agbabiaka, O., Ojo, A., Connolly, N. Requirements for trustworthy AI-enabled automated decision-making in the public sector: A systematic review. Technol. Forecast. Soc. Change. 2025; 215: 124076. https://doi.org/10.1016/j.techfore.2025.124076

[11] Au, S.K., Beck, J.L. Estimation of small failure probabilities in high dimensions by subset simulation. Probabilistic Eng. Mech. 2001; 16(4):263-277. https://doi.org/10.1016/S0266-8920(01)000

[12] Kroese, D.P., Brereton, T., Taimre, T. Why the Monte Carlo methods is important today. Comput. Stat. 2014, 6:386–392. doi: 10.1002/wics.131419-4

[13] Montgomery, D. C. Design and Analysis of Experiments (10th ed.). Wiley. 2019. 688 pages.

[14] Baumgartner, M., Kopp, T., Niever, M. Twin Transition – A Literature Analysis of the Relationship Between two Megatrends and the Role of Artificial Intelligence. Int. J. Innov. Manag. 2025; 29(4&6):2540011. https://dx.doi.org/10.1142/S1363919625400110

[15] Mak, S., Thomas, A. Steps for conducting a scoping review. J. Grad. Med. Educ. 2022; 14(5): 565–567. https://doi.org/10.4300/JGME-D-22-00621.1

[16] Caputo, C., Cardin, M.-A. Analyzing real options and flexibility in engineering systems design using decision rules and deep reinforcement learning. J. Mech. Des. 2022; 144(2): 021705. https://doi.org/10.1115/1.4052299

[17] Cox, D. R., Efron, B. Statistical thinking for 21st century scientists. Sci. Adv. 2017; 3(6): e1700768. https://doi.org/10.1126/sciadv.1700768

[18] Cressie, N. Decisions, decisions, decisions in an uncertain environment. Environmetrics. 2023; 34(1): e2767. https://doi.org/10.1002/env.2767

[19] Mohamad Hasim, S., Rosli, R., Halim, L. A systematic review on teaching strategies for fostering students’ statistical thinking. Int. J. Learn. Teach. Educ. Res. 2024; 23(1): 136–158. https://doi.org/10.26803/ijlter.23.1.8

[20] Aughenbaugh, J. M., Herrmann, J. W. Reliability-based decision-making: A comparison of statistical approaches. J. Stat. Theory Pract. 2009; 3(1): 289–303. https://doi.org/10.1080/15598608.2009.10411926

[21] Vance, M. W., Margevicius, K. J., Hamada, M. S. (2017). Quality quandaries: Combining engineering and statistics to assess the probability of an event. Qual. Eng. 2017; 29(3): 547–550. https://doi.org/10.1080/08982112.2016.1277244

[22] Nguyen, T. T., Nguyen, T. T. A study on the application of fuzzy logic in decision-making under uncertainty. J. Sci. Technol. 2015; 57(4A): 45–50. https://doi.org/10.15625/2525-2518/57/4A/14006

[23] Antuchevičienė, J., Kala, Z., Marzouk, M., Vaidogas, E. R. Solving civil engineering problems by means of fuzzy and stochastic MCDM methods: Current state and future research. Math. Probl. Eng. 2015; Article ID 362579. https://doi.org/10.1155/2015/362579

[24] Cotoarbă, D., Straub, D., Smith, I. F. C. Probabilistic digital twins for geotechnical design and construction. Data-Centric Eng. 2025; 6:e30. doi:10.1017/dce.2025.10008

[25] van Dinter, R., Tekinerdogan, B., Catal, C. Predictive maintenance using digital twins: A systematic literature review. Inf. Softw. Technol. 2022; 151:107008. https://doi.org/10.1016/j.infsof.2022.107008

[26] Rahman M. A., Shahrior M. F., Iqbal K., Abushaiba A. A. Enabling Intelligent Industrial Automation: A Review of Machine Learning Applications with Digital Twin and Edge AI Integration. Automation. 2025; 6(3):37. https://doi.org/10.3390/automation6030037

[27] Krishnamurthi, R., Kumar, A., Gopinathan, D., Nayyar, A., Qureshi, B. An Overview of IoT Sensor Data Processing, Fusion, and Analysis Techniques. Sensors. 2020; 20(21):6076. https://doi.org/10.3390/s20216076

[28] Fadillah, M. A., Syafrijon, Sulandari, Siregar, F. A. Bibliometric mapping of data science in education: Trends, benefits, challenges, and future directions. Soc. Sci. Humanit. Open. 2025; 11:101600. https://doi.org/10.1016/j.ssaho.2025.101600

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Published

2025-11-03

How to Cite

1.
Leão CP, Gonçalves AM, Malheiro MT. Leveraging Statistical Thinking for Digital Innovation: Reframing Uncertainty in Engineering Decision-Making. EAI Endorsed Digi Trans Ind Pros [Internet]. 2025 Nov. 3 [cited 2025 Nov. 4];1(3). Available from: https://publications.eai.eu/index.php/dtip/article/view/9796