Variance Analysis on Regression Models for Estimating Labor Costs of Prefabricated Components
Publication: Journal of Computing in Civil Engineering
Volume 36, Issue 5
Abstract
Regression modeling has been based on analyzing error terms between the predicted output and the target output without addressing the variance of the predicted output and the impact of individual input parameters on the variance. This research critically reviews established methods for variance analysis on commonly applied multiple linear regressions (MLR). An MLR model with high accuracy (the mean of the prediction close to the target value) but low precision (too high of a variance of the prediction) would be deemed insufficient in the context of cost estimating applications. An analytical method to account for the impact of the uncertainty associated with each input parameter on the uncertainty of the final output has yet to be formalized. This research integrates the error propagation theory with MLR modeling in an attempt to quantify the variance of the MLR predicted output in estimating labor cost for prefabricated products. A metric based on the resulting variance analysis (i.e., the ratio of the standard deviation over the mean) is found effective to gauge the precision of the MLR model. The research has advanced regression modeling methods with respect to MLR variance analysis and contributed to the estimating practice for prefabricated products such as structural steel fabrication, precast concrete, industrial modules, and building modules.
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Data Availability Statement
The model or code that supports the findings of this study is available from the corresponding author upon reasonable request.
Acknowledgments
The research was substantially funded by the Canadian Precast Concrete Institute (CPCI) and Mathematics of Information Technology and Complex Systems (MITACS) through an Accelerate Internship program (Application Reference IT16280). The authors would like to acknowledge Robert Burak and Val Sylaj from CPCI, Kevin Kooiker and Jeff Church from Eagle Builders, and Jason Rabasse from Lafarge Precast for facilitating the research.
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Received: Dec 19, 2021
Accepted: Apr 12, 2022
Published online: Jun 15, 2022
Published in print: Sep 1, 2022
Discussion open until: Nov 15, 2022
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