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BA 302 - Managing Space - Site Selection - GIS
- Problem: Have we seen this model/approach before?
- Problem: Do Metters et al. like this factor rating? Do they like the model previously?
- Metters et al. (p. 332-335): regression:
- Collect two types of data:
- Performance data on similar businesses; e.g., existing Starbucks stores, fast food restaurants, hotel franchises, bank branch offices, etc.
- Spatial/locational information for each of these businesses; e.g.,
- Neighborhood income.
- Proximity to working population.
- Pedestrian traffic.
- Car traffic.
- Etc.
- Model the performance of the businesses as a function of the locational characteristics:
- Performance = f(Neighborhood income, Proximity to working population, Pedestrian traffic, Car traffic, ...).
- Performance = α + β1(Neighborhood income) + β2(Proximity to working population) + ... + βn(Variablen).
- Performance is the dependent variable.
- Neighborhood income, Proximity, etc. are the independent variables.
- β1, β2, ..., βn are called the regression coefficients.
- Each regression coefficient indicates how much the dependent variable will change if the associated independent variable changes one unit.
- How to find β1, β2, ..., βn? ==> least squares criterion; i.e., find values for β1, β2, ..., βnsuch that the squared differences between the observed values and the predicted ones are minimized.
- Use the found βn values and the spatial/locational information of a new site to predict the performance of the business at that site.
- Example: La Quinta Inn case study pp. 348-355.
- An observation:
- Regression model is mathematically equivalent to the factor rating model.
- Metters et al.'s strongest critique on the factor rating model is that the weights are determined arbitrarily.
- However, it seems that the regression model can be used to estimate these weights.
- Problem: can you see some potential problems with this approach?
- Model assumes that the dependent variable is a linear function of the independent variables (guess what will happen if we put in an exponential data set? e.g., Figure 16.3 (p. 334).
- Model makes strong assumptions about how data are distributed.
- Every site is special; the model might not be valid for a specific site.
- How to get the data with which to fit the model?
- Have lots of other similar business establishments (Starbucks, Banks, Hotels, etc.).
- Use trade organization.
- Use specialized consulting company.
- Collect your own using a Geographic Information System and available spatial data.



