1\begin{longtable}{p{2.4cm}p{1.5cm}rrrrrr}2\caption{Robustness of the pooled estimates across estimators and implementations}\label{tab:robustness}\\3\toprule4Characteristic & family & REML (R) & REML (Py) & 3-level & LOSO range & Bayes mean [95\% CrI] & PET-PEESE \\5\midrule6\endfirsthead7\multicolumn{8}{l}{\textit{(continued)}}\\8\toprule9Characteristic & family & REML (R) & REML (Py) & 3-level & LOSO range & Bayes mean [95\% CrI] & PET-PEESE \\10\midrule11\endhead12\bottomrule13\endfoot14Bedrooms & \% per unit & 3.00 & 3.00 & 5.02 & [2.46, 4.20] & 5.25 [3.02, 7.48] & 1.77 \\15Living area & \% per unit & 0.72 & 0.72 & 0.59 & [0.53, 0.83] & 0.58 [0.44, 0.73] & 0.35 \\16Age & \% per unit & -0.24 & -0.24 & -0.51 & [-0.45, -0.13] & -0.51 [-0.85, -0.16] & 0.08 \\17Floor level & \% per unit & -0.11 & -0.11 & 0.83 & [-0.23, 0.64] & 0.85 [-0.03, 1.72] & 0.44 \\18Storeys & \% per unit & 5.73 & 5.73 & 6.06 & [1.46, 8.52] & 5.61 [0.55, 10.52] & -0.02 \\19Bathrooms & \% per unit & 5.91 & 5.91 & 8.57 & [5.45, 7.41] & 8.47 [6.38, 10.54] & 2.51 \\20Distance to public transport & \% per unit & -1.99 & -1.99 & -2.15 & [-3.52, -0.69] & -2.13 [-4.90, 0.74] & -0.53 \\21Distance to schools & \% per unit & -1.23 & -1.23 & 0.17 & [-1.66, -0.18] & 0.14 [-4.67, 4.75] & 1.41 \\22Distance to commercial areas & \% per unit & -2.02 & -2.02 & -2.85 & -- & -- & 0.68 \\23Distance to hospitals & \% per unit & -1.90 & -1.90 & -2.18 & -- & -- & -0.22 \\24Distance to university & \% per unit & -0.44 & -0.44 & -1.26 & -- & -- & -0.11 \\25Green space and parks & \% per unit & -2.94 & -2.94 & -3.91 & [-4.88, -1.14] & -3.53 [-8.26, 1.16] & -0.30 \\26Distance to CBD & \% per unit & -3.08 & -3.08 & -3.31 & [-3.33, -2.42] & -3.30 [-6.32, -0.26] & -0.85 \\27Proximity to water bodies & \% per unit & -1.63 & -1.63 & -2.61 & -- & -- & -0.47 \\28Distance to highways & \% per unit & 0.14 & 0.14 & 0.78 & [-0.27, 0.82] & 0.87 [-1.15, 3.22] & 0.30 \\29Lot size & \% per unit & 0.01 & 0.01 & 0.12 & [0.01, 0.08] & 0.11 [-0.03, 0.26] & -0.00 \\30Hazardous or industrial sites & \% per unit & 3.08 & 3.08 & 5.35 & -- & -- & -0.31 \\31Distance to commercial areas & \% premium & 10.37 & 10.37 & 6.64 & -- & -- & -0.55 \\32Distance to CBD & \% premium & 12.69 & 12.69 & 18.12 & -- & -- & 12.03 \\33Roof and building materials & \% premium & 10.63 & 10.63 & 1.78 & [4.95, 12.28] & 1.46 [-6.11, 8.76] & 7.80 \\34Building condition & \% premium & 7.42 & 7.42 & -0.18 & [3.89, 9.44] & -0.17 [-5.39, 5.00] & -0.12 \\35Heating & \% premium & 1.90 & 1.90 & 4.62 & [0.60, 3.41] & 4.24 [0.34, 8.41] & 1.21 \\36Dwelling type & \% premium & 10.97 & 10.97 & 5.27 & [2.68, 13.85] & 3.31 [-2.73, 9.46] & -1.64 \\37Accessibility & \% premium & 6.21 & 6.21 & 6.50 & [4.87, 6.85] & 6.43 [3.68, 9.05] & 4.78 \\38Fireplace & \% premium & 4.35 & 4.35 & 8.07 & [3.48, 8.36] & 7.87 [4.31, 11.44] & 2.20 \\39Terrace or balcony & \% premium & 5.00 & 5.00 & 4.96 & [3.89, 5.57] & 4.90 [2.86, 6.98] & 3.29 \\40Distance to highways & \% premium & -3.28 & -3.28 & -3.48 & -- & -- & -0.59 \\41Air conditioning & \% premium & 10.81 & 10.81 & 8.14 & [6.48, 13.08] & 7.19 [0.13, 13.86] & 4.12 \\42Green space and parks & \% premium & -0.47 & -0.47 & 3.99 & [-1.39, 3.09] & 0.14 [-12.60, 12.81] & -99.91 \\43Distance to public transport & \% premium & 1.98 & 1.98 & 0.78 & [0.46, 2.64] & 1.27 [-1.10, 3.62] & 2.18 \\44Parking & \% premium & 6.33 & 6.33 & 3.52 & [4.94, 7.21] & 3.20 [-0.61, 7.01] & 3.49 \\45View & \% premium & 8.20 & 8.20 & 7.41 & [7.18, 8.65] & 6.36 [1.94, 10.73] & 6.45 \\46Energy efficiency & \% premium & 2.96 & 2.96 & 2.54 & -- & -- & -0.42 \\47Bedrooms & \% premium & 12.12 & 12.12 & 11.56 & -- & -- & 6.69 \\48Age & \% premium & 2.22 & 2.22 & 1.56 & [0.19, 4.17] & 1.19 [-3.95, 6.47] & 1.54 \\49Kitchen quality & \% premium & 3.07 & 3.07 & 5.79 & -- & -- & 4.75 \\50Garage & \% premium & 5.43 & 5.43 & 6.27 & [4.52, 6.02] & 6.14 [3.49, 8.80] & 6.64 \\51Basement & \% premium & 5.25 & 5.25 & 7.05 & [4.50, 6.57] & 6.77 [3.03, 10.36] & 8.95 \\52Garden & \% premium & 6.42 & 6.42 & 6.83 & -- & -- & 7.45 \\53Hazardous or industrial sites & \% premium & -5.89 & -5.89 & -6.63 & [-7.50, -2.58] & -5.78 [-10.06, -1.33] & -0.59 \\54Proximity to water bodies & \% premium & 15.39 & 15.39 & 8.26 & -- & -- & -0.84 \\55Sunlight and orientation & \% premium & 4.01 & 4.01 & 2.59 & -- & -- & 3.26 \\56Bathrooms & \% premium & 23.84 & 23.84 & 13.84 & -- & -- & 9.77 \\57Floor level & \% premium & 1.30 & 1.30 & 0.02 & [0.31, 2.40] & 0.18 [-6.14, 6.18] & 2.68 \\58Waterfront & \% premium & 32.50 & 32.50 & 31.57 & -- & -- & 9.51 \\59Flood risk & \% premium & -0.10 & -0.10 & -2.59 & -- & -- & -6.69 \\60Swimming pool & \% premium & 4.87 & 4.87 & 7.16 & [3.12, 7.26] & 6.57 [1.44, 11.67] & -0.96 \\61Storeys & \% premium & -1.93 & -1.93 & 0.85 & -- & -- & -6.37 \\62Storage & \% premium & -0.49 & -0.49 & 1.64 & -- & -- & -2.29 \\63Transaction timing & \% premium & 4.36 & 4.36 & 2.83 & -- & -- & 2.56 \\64Renovation & \% premium & 0.88 & 0.88 & 9.84 & [-0.41, 13.16] & 8.52 [0.15, 16.37] & 1.28 \\65Living area & elasticity & 0.65 & 0.65 & 0.62 & [0.63, 0.66] & 0.61 [0.49, 0.73] & 0.51 \\66Distance to CBD & elasticity & -0.09 & -0.09 & -0.06 & [-0.10, -0.08] & -0.06 [-0.13, 0.01] & -0.05 \\67Distance to public transport & elasticity & -0.00 & -0.00 & -0.07 & [-0.01, 0.01] & -0.07 [-0.22, 0.07] & -0.01 \\68Neighbourhood amenities & elasticity & 0.01 & 0.01 & -0.02 & -- & -- & -0.00 \\69Population density & elasticity & 0.02 & 0.02 & 0.01 & [0.01, 0.03] & 0.01 [-0.03, 0.06] & 0.01 \\70Neighbourhood income & elasticity & 0.25 & 0.25 & 0.22 & [0.17, 0.29] & 0.21 [0.07, 0.34] & 0.12 \\71Bathrooms & elasticity & 0.07 & 0.07 & 0.05 & -- & -- & 0.01 \\72Age & elasticity & -0.09 & -0.09 & -0.11 & [-0.11, -0.07] & -0.11 [-0.16, -0.06] & -0.10 \\73Green space and parks & elasticity & -0.01 & -0.01 & 0.00 & [-0.02, -0.01] & 0.01 [-0.02, 0.08] & -0.01 \\74Lot size & elasticity & 0.09 & 0.09 & 0.14 & [0.05, 0.13] & 0.14 [0.05, 0.24] & 0.04 \\75Bedrooms & elasticity & 0.19 & 0.19 & 0.23 & [0.14, 0.23] & 0.23 [0.04, 0.40] & 0.17 \\76Proximity to water bodies & elasticity & -0.02 & -0.02 & -0.04 & [-0.03, -0.02] & -0.04 [-0.09, 0.02] & -0.01 \\77Distance to highways & elasticity & -0.00 & -0.00 & -0.00 & -- & -- & 0.01 \\78Distance to schools & elasticity & 0.02 & 0.02 & 0.01 & -- & -- & -0.00 \\79Distance to hospitals & elasticity & 0.00 & 0.00 & -0.03 & -- & -- & 0.00 \\80Distance to commercial areas & elasticity & 0.01 & 0.01 & 0.00 & -- & -- & -0.00 \\81\end{longtable}82