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Uncertainty in Measurement: Accuracy and Precision03:37

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Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value. 
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The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
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Uncertainty aware and explainable construction cost prediction using a hybrid probabilistic learning model.

Lifei Chen1, Othman Waleed Khalid2,3, Jun-Jiat Tiang4

  • 1Faculty of Engineering, Technology and Built Environment, UCSI University, 56000, Kuala Lumpur, Malaysia.

Scientific Reports
|March 27, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces NGBoost-ETR, a novel framework for construction cost forecasting, enhancing prediction accuracy and uncertainty estimation. It provides reliable cost predictions and risk assessment for better resource efficiency in construction projects.

Keywords:
Construction cost predictionExplainable artificial intelligence (XAI)Hybrid machine learningNatural gradient boostingUncertainty quantification

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Area of Science:

  • Construction Management
  • Data Science
  • Machine Learning

Background:

  • Accurate construction cost forecasting is critical for project success.
  • Existing models often lack reliable uncertainty estimation and interpretability.
  • Complex feature interactions in sustainable building pose challenges for cost modeling.

Purpose of the Study:

  • To present a unified probabilistic framework for construction cost forecasting.
  • To address gaps in reliable interval calibration, model interpretability, and robustness.
  • To improve decision-making in construction budgeting and risk management.

Main Methods:

  • Developed NGBoost-ETR (Natural Gradient Boosting with Extra Trees base learners).
  • Trained the model on a real-world RSMeans dataset (4477 samples).
  • Validated probabilistic calibration using six quantitative metrics (PICP, PINAW, MPIW, CWC, NLL, CRPS).

Main Results:

  • NGBoost-ETR achieved superior predictive performance (R²=0.9866) compared to baselines.
  • Demonstrated robust probabilistic calibration and interval efficiency.
  • Showcased SHAP-based interpretability for transparent decision-making.

Conclusions:

  • NGBoost-ETR offers a validated, process-innovative framework for construction cost forecasting.
  • The model enhances resource efficiency and supports risk-aware decision-making.
  • This approach promotes transparency in construction budgeting and tendering.