Two Parts of Data

I Zip code with corresponding color.

I Boundary coordinates for each zip code.

I Now we are ready to plot !!!!

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

Two Parts of Data

I Zip code with corresponding color.

I Boundary coordinates for each zip code.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

Two Parts of Data

I Zip code with corresponding color.

I Boundary coordinates for each zip code.

I Now we are ready to plot !!!!

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

spgwr gwr.sel gwr

GWR

I PI’s question : Does breast cancer mortality related to education,

household income...etc.

I My first idea : Spearman’s correlation.

I The problem are :

I What if we have more or fewer data points ?

I Simple correlation can’t deal with multiple covariates at the same time.

I Brunsdon (1996), “Geographically Weighted Regression: A Method

for Exploring Spatial Nonstationarity”, Geographical analysis, Vol. 28, No. 4, P.281.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

spgwr gwr.sel gwr

GWR

I PI’s question : Does breast cancer mortality related to education,

household income...etc.

I My first idea : Spearman’s correlation.

I The problem are :

I What if we have more or fewer data points ?

I Simple correlation can’t deal with multiple covariates at the same time.

I Brunsdon (1996), “Geographically Weighted Regression: A Method

for Exploring Spatial Nonstationarity”, Geographical analysis, Vol. 28, No. 4, P.281.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

spgwr gwr.sel gwr

GWR

I PI’s question : Does breast cancer mortality related to education,

household income...etc.

I My first idea : Spearman’s correlation.

I The problem are :

I What if we have more or fewer data points ?

I Simple correlation can’t deal with multiple covariates at the same time.

I Brunsdon (1996), “Geographically Weighted Regression: A Method

for Exploring Spatial Nonstationarity”, Geographical analysis, Vol. 28, No. 4, P.281.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

spgwr gwr.sel gwr

GWR

I PI’s question : Does breast cancer mortality related to education,

household income...etc.

I My first idea : Spearman’s correlation.

I The problem are :

I What if we have more or fewer data points ?

I Simple correlation can’t deal with multiple covariates at the same time.

I Brunsdon (1996), “Geographically Weighted Regression: A Method

for Exploring Spatial Nonstationarity”, Geographical analysis, Vol. 28, No. 4, P.281.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

spgwr gwr.sel gwr

GWR

I Wherever a house is located, for example, the marginal price

increase associated with an additional bedroom is fixed.

I It might be more reasonable to assume that rates of change are

determined by local culture or local knowledge, rather than a global utility assumed for each commodity.

I Variations in relationships over space, such as those described above,

are referred to as spatial nonstationarity.

I Simple linear model is not not appropriate, but widely used in early

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

spgwr gwr.sel gwr

GWR

I Wherever a house is located, for example, the marginal price

increase associated with an additional bedroom is fixed.

I It might be more reasonable to assume that rates of change are

determined by local culture or local knowledge, rather than a global utility assumed for each commodity.

I Variations in relationships over space, such as those described above,

are referred to as spatial nonstationarity.

I Simple linear model is not not appropriate, but widely used in early

90s for the data with geographic information.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

spgwr gwr.sel gwr

GWR

I Wherever a house is located, for example, the marginal price

increase associated with an additional bedroom is fixed.

I It might be more reasonable to assume that rates of change are

determined by local culture or local knowledge, rather than a global utility assumed for each commodity.

I Variations in relationships over space, such as those described above,

are referred to as spatial nonstationarity.

I Simple linear model is not not appropriate, but widely used in early

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

spgwr gwr.sel gwr

GWR

I Wherever a house is located, for example, the marginal price

increase associated with an additional bedroom is fixed.

I It might be more reasonable to assume that rates of change are

determined by local culture or local knowledge, rather than a global utility assumed for each commodity.

I Variations in relationships over space, such as those described above,

are referred to as spatial nonstationarity.

I Simple linear model is not not appropriate, but widely used in early

90s for the data with geographic information.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

spgwr gwr.sel gwr