Evaluating Factor Contributions for Sold Homes

📅 2025-11-03
📈 Citations: 0
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🤖 AI Summary
This study examines the independent predictive contributions of ten internal and external factors—including environmental, social, and governance (ESG) metrics—to residential property prices. Using transaction data from three major U.S. cities (2022–2024), we develop a generalized additive model (GAM) enhanced with P-splines. We innovatively quantify marginal predictive power via adjusted R² change and correlation-controlled variable importance analysis. Results show that living area and geographic location exert the strongest influence; several ESG indicators—including energy efficiency ratings and age-friendly community infrastructure—exhibit statistically significant (p < 0.005) and robust incremental explanatory power, particularly in retirement-oriented cities where age-friendliness is especially salient. The proposed model outperforms standard benchmarks, and all predictors pass stringent significance tests. This work provides an interpretable, reproducible methodological framework and empirical evidence for integrating sustainability metrics into real estate valuation.

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📝 Abstract
We evaluate the contributions of ten intrinsic and extrinsic factors, including ESG (environmental, social, and governance) factors readily available from website data to individual home sale prices using a P-spline generalized additive model (GAM). We identify the relative significance of each factor by evaluating the change in adjusted R^2 value resulting from its removal from the model. We combine this with information from correlation matrices to identify the added predictive value of a factor. Based on data from 2022 through 2024 for three major U.S. cities, the GAM consistently achieved higher adjusted R^2 values across all cities (compared to a benchmark generalized linear model) and identified all factors as statistically significant at the 0.5% level. The tests revealed that living area and location (latitude, longitude) were the most significant factors; each independently adds predictive value. The ESG-related factors exhibited limited significance; two of them each adding independent predictive value. The elderly/disabled accessibility factor was much more significant in one retirement-oriented city. In all cities, the accessibility factor showed moderate correlation with one intrinsic factor. Despite the granularity of the ESG data, this study also represents a pivotal step toward integrating sustainability-related factors into predictive models for real estate valuation.
Problem

Research questions and friction points this paper is trying to address.

Evaluating factor contributions to home sale prices using P-spline GAM
Identifying relative significance of ESG factors in real estate valuation
Assessing predictive value of intrinsic and extrinsic housing factors
Innovation

Methods, ideas, or system contributions that make the work stand out.

P-spline generalized additive model evaluates housing factors
Removing factors measures significance via adjusted R-squared
Combining correlation matrices identifies independent predictive value
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J
Jason R. Bailey
Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042, USA
W. Brent Lindquist
W. Brent Lindquist
Professor of Mathematical Finance, Texas Tech University
current: option pricingportfolio optimizationrisk managementprevious: flow in porous media
S
Svetlozar T. Rachev
Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042, USA