% Author: Simon-Pierre Boucher — contact@spboucher.ai % % ============================================================================ % UQO Working Paper No. 3 % Hedonic Housing Price Models for the United States: A Multi-Method % Comparison of Parametric, Quantile, and Machine Learning Approaches % ============================================================================ \documentclass[12pt,letterpaper]{article} % --- Encoding & Language --- \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage[english]{babel} % --- Page Layout --- \usepackage[letterpaper, margin=1in, headheight=15pt]{geometry} \usepackage{setspace} \onehalfspacing \setlength{\parindent}{1.5em} \setlength{\parskip}{0pt} % --- Typography --- \usepackage{newtxtext,newtxmath} \usepackage{amsmath,amsfonts} \let\Bbbk\relax \usepackage{amssymb} \usepackage{mathtools} \usepackage{microtype} % --- Tables --- \usepackage{booktabs} \usepackage{threeparttable} \usepackage{tabularx} \usepackage{array} \usepackage{multirow} \usepackage{longtable} \usepackage{adjustbox} \usepackage{siunitx} \usepackage{dcolumn} % --- Figures --- \usepackage{graphicx} \graphicspath{{./}{../}} % figures live in ../figures/, logo in ./ \usepackage[ font = small, labelfont = bf, labelsep = period, skip = 8pt, justification = justified, singlelinecheck = false ]{caption} \usepackage{subcaption} \usepackage{float} \usepackage{pdflscape} % --- Colors & Links --- \usepackage[dvipsnames]{xcolor} \definecolor{linkblue}{RGB}{0,51,102} \usepackage[bookmarks, bookmarksnumbered]{hyperref} \hypersetup{ colorlinks = true, linkcolor = NavyBlue, citecolor = NavyBlue, urlcolor = NavyBlue, pdftitle = {Hedonic Housing Price Models for the United States: A Multi-Method Comparison of Parametric, Quantile, and Machine Learning Approaches}, pdfauthor = {Simon-Pierre Boucher} } % --- Bibliography --- \usepackage[round, authoryear, comma]{natbib} \setcitestyle{aysep={,}} \bibliographystyle{apalike} % --- Headers & Footers --- \usepackage{fancyhdr} \pagestyle{fancy} \fancyhf{} \fancyhead[L]{\small\itshape Hedonic Housing Price Models for the United States} \fancyhead[R]{\small\thepage} \renewcommand{\headrulewidth}{0.4pt} \renewcommand{\footrulewidth}{0pt} \fancypagestyle{plain}{% \fancyhf{} \fancyfoot[C]{\small\thepage} \renewcommand{\headrulewidth}{0pt} } % --- Section Formatting --- \usepackage{titlesec} \titleformat{\section}{\large\bfseries}{\thesection.}{0.5em}{} \titleformat{\subsection}{\normalsize\bfseries}{\thesubsection.}{0.5em}{} \titleformat{\subsubsection}{\normalsize\itshape}{\thesubsubsection.}{0.5em}{} % --- Appendix Support --- \usepackage[toc, page]{appendix} \usepackage{enumitem} \usepackage{etoolbox} \usepackage[hang,flushmargin]{footmisc} % --- Custom Column Types --- \newcolumntype{R}[1]{>{\raggedleft\arraybackslash}p{#1}} \newcolumntype{L}[1]{>{\raggedright\arraybackslash}p{#1}} \newcolumntype{C}[1]{>{\centering\arraybackslash}p{#1}} \newcolumntype{d}[1]{D{.}{.}{#1}} % --- Custom Commands --- \newcommand{\sym}[1]{\ensuremath{^{#1}}} \newcommand{\stmark}[1]{\rlap{\textsuperscript{#1}}} \DeclareMathOperator*{\plim}{plim} \newcommand{\E}{\mathbb{E}} \newcommand{\Var}{\mathrm{Var}} \newcommand{\Cov}{\mathrm{Cov}} \newcommand{\Corr}{\mathrm{Corr}} \newcommand{\se}{\mathrm{s.e.}} \newcommand{\tr}{\mathrm{tr}} \newcommand{\rank}{\mathrm{rank}} \newcommand{\diag}{\mathrm{diag}} \newcommand{\R}{\mathbb{R}} \newcommand{\N}{\mathbb{N}} \newcommand{\eps}{\varepsilon} \newcommand{\bfbeta}{\boldsymbol{\beta}} \newcommand{\bfgamma}{\boldsymbol{\gamma}} \newcommand{\bfalpha}{\boldsymbol{\alpha}} \newcommand{\bfdelta}{\boldsymbol{\delta}} \newcommand{\bftheta}{\boldsymbol{\theta}} \newcommand{\bfSigma}{\boldsymbol{\Sigma}} \newcommand{\bfOmega}{\boldsymbol{\Omega}} \newcommand{\bfX}{\mathbf{X}} \newcommand{\bfY}{\mathbf{Y}} \newcommand{\bfy}{\mathbf{y}} \newcommand{\bfe}{\mathbf{e}} \newcommand{\bfs}{\mathbf{s}} \newcommand{\iid}{\overset{\mathrm{iid}}{\sim}} \newcommand{\pto}{\overset{p}{\to}} \newcommand{\dto}{\overset{d}{\to}} \newcommand{\ols}{\mathrm{OLS}} \newcommand{\iv}{\mathrm{IV}} \newcommand{\gmm}{\mathrm{GMM}} \newcommand{\mle}{\mathrm{MLE}} \newcommand{\pval}{\textit{p}-value} \newcommand{\tstat}{\textit{t}-statistic} \newcommand{\fstat}{\textit{F}-statistic} \newcommand{\tablenote}[1]{\begin{minipage}{\linewidth}\footnotesize #1\end{minipage}} \newcommand{\signote}{*** $p < 0.001$; ** $p < 0.01$; * $p < 0.05$.} % ============================================================================ % METADATA % ============================================================================ \newcommand{\WPnumber}{3} \newcommand{\WPtitle}{Hedonic Housing Price Models for the United States: A Multi-Method Comparison of Parametric, Quantile, and Machine Learning Approaches} \newcommand{\WPsubtitle}{} \newcommand{\WPdate}{May 2026} \newcommand{\WPversion}{1.1} \newcommand{\WPabstract}{% This paper compares econometric and machine-learning approaches to hedonic housing valuation using 788,842 active Zillow listings across all 50 U.S.\ states and the District of Columbia. A semi-log OLS model with 62 regressors ($R^2 = 0.634$) provides interpretable listing-price gradients; adding ZIP3 fixed effects raises $R^2$ to 0.725, and Moran's $I = 0.27$ confirms strong residual spatial autocorrelation. Quantile regression reveals distributional heterogeneity, with inter-quantile Wald tests rejecting coefficient equality between $\tau = 0.10$ and $\tau = 0.90$ for 11 of 13 key variables. XGBoost achieves $R^2 = 0.833$ under random validation but only 0.425 under state-level geographic holdout; ablation analysis traces the predictive gain primarily to neighborhood-quality features ($+17.6$ pp) and shows that removing geographic features \emph{improves} geographic holdout $R^2$ to 0.519, revealing spatial overfitting. SHAP importance rankings are stable across models (Spearman $\rho > 0.89$). Robustness checks confirm that the lot-size gradient triples when imputed observations are dropped, while other coefficients remain stable under winsorization and subsampling. Throughout, estimates are interpreted as conditional associations in listing prices, not causal willingness-to-pay parameters.% } \newcommand{\WPkeywords}{hedonic pricing, housing markets, quantile regression, XGBoost, SHAP, spatial autocorrelation, geographic validation} \newcommand{\WPjel}{R31, C21, C45, C52} % --- Author --- \newcommand{\WPauthor}{Simon-Pierre Boucher} \newcommand{\WPaffiliation}{% D\'epartement des sciences administratives\\ Universit\'e du Qu\'ebec en Outaouais% } \newcommand{\WPemail}{simon-pierre.boucher@uqo.ca} \newcommand{\WPaddress}{% Gatineau -- Pavillon Alexandre-Tach\'e\\ 283, boulevard Alexandre-Tach\'e\\ Gatineau, Qu\'ebec, Canada J9A 1L8% } % ============================================================================ % DOCUMENT % ============================================================================ \begin{document} % --- Title Page --- \input{sections/titlepage} % --- Main Body --- \input{sections/introduction} \input{sections/literature} \input{sections/data} \input{sections/methodology} \input{sections/results} \input{sections/robustness} \input{sections/discussion} \input{sections/limitations} \input{sections/conclusion} % --- References --- \newpage \addcontentsline{toc}{section}{References} \bibliography{references} % --- Appendix --- \newpage \input{appendix/appendix} \end{document}