\begin{table}[htbp]
\centering\scriptsize
\caption{Monte Carlo: RMSE of monthly log changes (×100) at the region level, by scenario (Monte Carlo standard error in parentheses)}\label{tab:mc_rmse_region}
\begin{threeparttable}
\resizebox{\textwidth}{!}{%
\begin{tabular}{lrrrrrrrrr}
\toprule
Method & baseline & turning point & flat quality up & rising quality down & drifting hedonics & heavy tails & sparse & no local dynamics & idiosyncratic towns \\
\midrule
Median & 7.24 (0.16) & 7.24 (0.16) & 7.34 (0.16) & 7.19 (0.16) & 7.56 (0.16) & 7.34 (0.17) & 12.37 (0.26) & 7.20 (0.15) & 7.49 (0.14) \\
Stratified median & 6.03 (0.13) & 6.03 (0.13) & 6.12 (0.13) & 6.09 (0.14) & 6.18 (0.14) & 6.35 (0.14) & 9.12 (0.16) & 6.01 (0.13) & 6.47 (0.13) \\
Pooled TD (Huber) & 2.63 (0.04) & 2.63 (0.04) & 2.64 (0.04) & 2.63 (0.04) & 2.73 (0.04) & 2.56 (0.04) & 4.64 (0.07) & 2.61 (0.04) & 2.89 (0.05) \\
Rolling TD 13 m & 2.99 (0.05) & 2.99 (0.05) & 3.00 (0.05) & 2.99 (0.05) & 3.10 (0.05) & 2.99 (0.05) & 5.45 (0.09) & 2.99 (0.05) & 3.11 (0.05) \\
Repeat sales & 12.03 (0.21) & 12.03 (0.21) & 12.05 (0.21) & 12.04 (0.20) & 12.18 (0.21) & 15.80 (0.30) & 22.22 (0.39) & 12.00 (0.21) & 12.59 (0.22) \\
QHPI v2.1 arch. & 1.17 (0.01) & 1.23 (0.01) & 0.84 (0.01) & 1.25 (0.01) & 1.19 (0.01) & 1.21 (0.01) & 2.14 (0.06) & 1.08 (0.01) & 1.27 (0.01) \\
SHARP-HPI (smoothed) & 1.40 (0.02) & 1.40 (0.02) & 1.41 (0.02) & 1.40 (0.02) & 1.44 (0.02) & 2.32 (0.06) & 2.24 (0.04) & 1.23 (0.02) & 1.58 (0.03) \\
SHARP-HPI (filtered) & 1.58 (0.02) & 1.58 (0.02) & 1.58 (0.02) & 1.58 (0.02) & 1.62 (0.02) & 2.94 (0.07) & 2.44 (0.04) & 1.30 (0.02) & 1.76 (0.03) \\
SHARP: no EB pooling of $\tau^2$ & 1.39 (0.02) & 1.39 (0.02) & 1.40 (0.02) & 1.39 (0.02) & 1.43 (0.02) & 2.16 (0.06) & 2.24 (0.04) & 1.24 (0.02) & 1.58 (0.03) \\
SHARP: fixed quality prices & 1.40 (0.02) & 1.40 (0.02) & 1.41 (0.02) & 1.40 (0.02) & 1.44 (0.02) & 2.32 (0.06) & 2.23 (0.04) & 1.23 (0.02) & 1.58 (0.03) \\
SHARP: local linear trend & 1.39 (0.02) & 1.39 (0.02) & 1.40 (0.02) & 1.39 (0.02) & 1.43 (0.02) & 2.34 (0.06) & 2.23 (0.04) & 1.23 (0.02) & 1.57 (0.03) \\
SHARP: Gaussian & 1.70 (0.03) & 1.70 (0.03) & 1.70 (0.03) & 1.70 (0.03) & 1.74 (0.03) & 2.72 (0.07) & 2.70 (0.05) & 1.58 (0.03) & 1.84 (0.03) \\
SHARP: municipality-level location FE & 1.97 (0.04) & 1.97 (0.04) & 1.97 (0.04) & 1.97 (0.04) & 2.01 (0.04) & 2.18 (0.06) & 3.24 (0.08) & 1.87 (0.04) & 2.11 (0.04) \\
\bottomrule
\end{tabular}}
\begin{tablenotes}\footnotesize\item Averages over cells and replications; see Table~\ref{tab:mc_design} for the scenarios. Lower is better; the final two scenarios are the deliberate counter-examples.\end{tablenotes}
\end{threeparttable}
\end{table}