Rental Prices for Apartments in the province of Zurich (cont.) - PowerPoint PPT Presentation

Non-Spatial Spatial Rental Prices for Apartments in the province of Zurich (cont.) Assignment 3 for Spatial Statistics (STAT 946) Adrian Waddell University of Waterloo December 2, 2008 Adrian Waddell (University of Waterloo) GRASS December 2, 2008 1 / 15

Non-Spatial Spatial Idea Have information of n = 3088 apartments for rent available (on Friday October 3, 2008, homegate.ch) Trying to get a spatial and non-spatial model for the rental price. Idea is to find good offers. (i.e. look at residuals) Idea is inspired by Tobias Roithner. Adrian Waddell (University of Waterloo) GRASS December 2, 2008 2 / 15

Non-Spatial Spatial Model Use Model log ( price ) = m ( · ) + e ( s ) e ( s ) = f ( s ) + ǫ non-spatial trend: m ( area , nrRooms , ... ) is chosen to be a linear model → variable selection spatial trend: e ( s ) , model Variogram, Kriege residuals: ǫ Adrian Waddell (University of Waterloo) GRASS December 2, 2008 3 / 15

Non-Spatial Spatial Data Adrian Waddell (University of Waterloo) GRASS December 2, 2008 4 / 15

Non-Spatial Spatial Data Adrian Waddell (University of Waterloo) GRASS December 2, 2008 5 / 15

Non-Spatial Spatial Data Adrian Waddell (University of Waterloo) GRASS December 2, 2008 6 / 15

Non-Spatial Spatial Data Adrian Waddell (University of Waterloo) GRASS December 2, 2008 7 / 15

Non-Spatial Spatial Living Area Adrian Waddell (University of Waterloo) GRASS December 2, 2008 8 / 15

Non-Spatial Spatial Prediction Grid In R: with spsample(ploy,2000,type = "regular") Adrian Waddell (University of Waterloo) GRASS December 2, 2008 9 / 15

Non-Spatial Spatial Inverse Weights exp(e(s)) 280000 2.5 270000 2.0 260000 1.5 250000 1.0 240000 0.5 230000 680000 690000 700000 710000 Adrian Waddell (University of Waterloo) GRASS December 2, 2008 10 / 15

Non-Spatial Spatial Inverse Weights 0.7 < exp ( e ( s )) < 1.6 exp(e(s)) 280000 1.6 270000 1.4 260000 1.2 250000 1.0 240000 0.8 230000 680000 690000 700000 710000 Adrian Waddell (University of Waterloo) GRASS December 2, 2008 11 / 15

Non-Spatial Spatial Variogram: Mattern Adrian Waddell (University of Waterloo) GRASS December 2, 2008 12 / 15

Non-Spatial Spatial Ordinary Kriging exp(e(s)) 280000 2.0 270000 260000 1.5 250000 1.0 240000 0.5 230000 680000 690000 700000 710000 Adrian Waddell (University of Waterloo) GRASS December 2, 2008 13 / 15

Non-Spatial Spatial Ordinary Kriging 0.7 < epx ( e ( s )) < 1.6 exp(e(s)) 1.6 280000 1.4 270000 1.2 260000 1.0 250000 0.8 240000 0.6 230000 680000 690000 700000 710000 Adrian Waddell (University of Waterloo) GRASS December 2, 2008 14 / 15

Non-Spatial Spatial End THANK YOU Adrian Waddell (University of Waterloo) GRASS December 2, 2008 15 / 15