Preamble ..............................................................................................................8
Chapter 1 Introduction to Part 1: Spatial Statistics............................................................................. 10
1.1 Introduction ........................................................................................................................... 10
1.2 Polish employment data: 2006-2013. .................................................................................... 10
1.3 Polish data quality ................................................................................................................. 11
1.4 Concluding comments........................................................................................................... 14
Chapter 2 Spatial Autocorrelation and the p-Median Problem .......................................................... 15
2.1 Introduction ........................................................................................................................... 15
2.2 Eigenvector spatial filtering in a nutshell.............................................................................. 15
2.3 Imputing missing spatial data................................................................................................ 16
2.4 The location-allocation problem............................................................................................ 17
2.5 Location-allocation solutions in the presence of missing and imputed data ......................... 19
2.6 Relationships between spatial autocorrelation and solutions to location-allocation problems................................................................................................................................ 22
2.7 Concluding comments........................................................................................................... 26
Chapter 3 Space-Time Autocorrelation.............................................................................................. 28
3.1 Introduction ........................................................................................................................... 28
3.2 Specifying a space-time Moran Coefficient .......................................................................... 28
3.3 Properties of the space-time Moran Coefficient.................................................................... 31
3.4 Eigenvector space-time filtering............................................................................................ 33
3.5 Omitted variables in a description of space-time response variables .................................... 35
3.6 Concluding comments........................................................................................................... 37
Chapter 4 The Relative Importance of Spatial and Temporal Autocorrelation.................................. 38
4.1 Introduction ........................................................................................................................... 38
4.2 Random effects: SSRE and SURE components.................................................................... 40
4.3 Estimating a SURE term: a sensitivity analysis .................................................................... 42
4.4 Time beats space ................................................................................................................... 44
4.5 Space beats time .................................................................................................................... 45
4.6 Concluding comments........................................................................................................... 46
