W and econometrics
How can we estimate the six parameters of A if we only have three observations (n=3)????
How do we "construct" W?
QUIZ: What are spatial weights? How are they related to spatial interactions?
Setup
Import a digital map
0
Beni
ADM1
1
Chuquisaca
ADM1
2
Cochabamba
ADM1
3
La Paz
ADM1
4
Oruro
ADM1
5
Pando
ADM1
6
PotosÃ
ADM1
7
Santa Cruz
ADM1
8
Tarija
ADM1
Construct the W matrix
Contiguity weights
Distance weights
Show full-matrix form
0
0.0
0.0
1
0.0
0.0
2
1.0
1.0
3
0.0
1.0
4
1.0
0.0
5
0.0
0.0
6
0.0
1.0
7
1.0
1.0
8
0.0
0.0
0
BOL-ADM1-26024454B21302434
1
BOL-ADM1-26024454B34957622
2
BOL-ADM1-26024454B58748343
3
BOL-ADM1-26024454B59333344
4
BOL-ADM1-26024454B62675025
5
BOL-ADM1-26024454B84286982
6
BOL-ADM1-26024454B92466198
7
BOL-ADM1-26024454B93669912
8
BOL-ADM1-26024454B96803985
W statistics
count
9.0
mean
3.56
std
1.24
min
2.0
25%
3.0
50%
4.0
75%
4.0
max
6.0
{'BOL-ADM1-26024454B34957622': ['BOL-ADM1-26024454B59333344', 'BOL-ADM1-26024454B92466198', 'BOL-ADM1-26024454B58748343', 'BOL-ADM1-26024454B93669912'], 'BOL-ADM1-26024454B96803985': ['BOL-ADM1-26024454B62675025', 'BOL-ADM1-26024454B92466198', 'BOL-ADM1-26024454B84286982', 'BOL-ADM1-26024454B93669912'], 'BOL-ADM1-26024454B93669912': ['BOL-ADM1-26024454B21302434', 'BOL-ADM1-26024454B96803985', 'BOL-ADM1-26024454B34957622', 'BOL-ADM1-26024454B92466198', 'BOL-ADM1-26024454B58748343', 'BOL-ADM1-26024454B62675025'], 'BOL-ADM1-26024454B58748343': ['BOL-ADM1-26024454B59333344', 'BOL-ADM1-26024454B21302434', 'BOL-ADM1-26024454B93669912', 'BOL-ADM1-26024454B34957622'], 'BOL-ADM1-26024454B21302434': ['BOL-ADM1-26024454B62675025', 'BOL-ADM1-26024454B58748343', 'BOL-ADM1-26024454B93669912'], 'BOL-ADM1-26024454B59333344': ['BOL-ADM1-26024454B58748343', 'BOL-ADM1-26024454B34957622'], 'BOL-ADM1-26024454B62675025': ['BOL-ADM1-26024454B21302434', 'BOL-ADM1-26024454B84286982', 'BOL-ADM1-26024454B96803985', 'BOL-ADM1-26024454B93669912'], 'BOL-ADM1-26024454B92466198': ['BOL-ADM1-26024454B93669912', 'BOL-ADM1-26024454B96803985', 'BOL-ADM1-26024454B34957622'], 'BOL-ADM1-26024454B84286982': ['BOL-ADM1-26024454B62675025', 'BOL-ADM1-26024454B96803985']}
Standardize W
0
0.0
0.0
1
0.0
0.0
2
0.25
0.25
3
0.0
0.5
4
0.25
0.0
5
0.0
0.0
6
0.0
0.3333333333333333
7
0.16666666666666666
0.16666666666666666
8
0.0
0.0
Plot W
Identify specific neighbors
2
Cochabamba
ADM1
3
La Paz
ADM1
5
Pando
ADM1
7
Santa Cruz
ADM1
0
Beni
ADM1
2
Cochabamba
ADM1
3
La Paz
ADM1
5
Pando
ADM1
7
Santa Cruz
ADM1
Export W
to Stata
0
0
BOL-ADM1-26024454B21302434
1
1
BOL-ADM1-26024454B34957622
2
2
BOL-ADM1-26024454B58748343
3
3
BOL-ADM1-26024454B59333344
4
4
BOL-ADM1-26024454B62675025
5
5
BOL-ADM1-26024454B84286982
6
6
BOL-ADM1-26024454B92466198
7
7
BOL-ADM1-26024454B93669912
8
8
BOL-ADM1-26024454B96803985
0
0.0
0.0
1
0.0
0.0
2
1.0
1.0
3
0.0
1.0
4
1.0
0.0
5
0.0
0.0
6
0.0
1.0
7
1.0
1.0
8
0.0
0.0