def test_GS_NN(self):
est_Int = self.GS_NN.by_col(' est_Intercept')
se_Int = self.GS_NN.by_col(' se_Intercept')
t_Int = self.GS_NN.by_col(' t_Intercept')
est_rural = self.GS_NN.by_col(' est_PctRural')
se_rural = self.GS_NN.by_col(' se_PctRural')
t_rural = self.GS_NN.by_col(' t_PctRural')
est_pov = self.GS_NN.by_col(' est_PctPov')
se_pov = self.GS_NN.by_col(' se_PctPov')
t_pov = self.GS_NN.by_col(' t_PctPov')
est_black = self.GS_NN.by_col(' est_PctBlack')
se_black = self.GS_NN.by_col(' se_PctBlack')
t_black = self.GS_NN.by_col(' t_PctBlack')
yhat = self.GS_NN.by_col(' yhat')
res = np.array(self.GS_NN.by_col(' residual'))
std_res = np.array(self.GS_NN.by_col(' std_residual')).reshape((-1, 1))
localR2 = np.array(self.GS_NN.by_col(' localR2')).reshape((-1, 1))
inf = np.array(self.GS_NN.by_col(' influence')).reshape((-1, 1))
cooksD = np.array(self.GS_NN.by_col(' CooksD')).reshape((-1, 1))
model = GWR(self.coords,
self.y,
self.X,
bw=49.000,
kernel='gaussian',
fixed=False)
rslt = model.fit()
AICc = get_AICc(rslt)
AIC = get_AIC(rslt)
BIC = get_BIC(rslt)
CV = get_CV(rslt)
self.assertAlmostEquals(np.floor(AICc), 896)
self.assertAlmostEquals(np.floor(AIC), 894.0)
self.assertAlmostEquals(np.floor(BIC), 922.0)
self.assertAlmostEquals(np.around(CV, 2), 17.91)
np.testing.assert_allclose(est_Int, rslt.params[:, 0], rtol=1e-04)
np.testing.assert_allclose(se_Int, rslt.bse[:, 0], rtol=1e-04)
np.testing.assert_allclose(t_Int, rslt.tvalues[:, 0], rtol=1e-04)
np.testing.assert_allclose(est_rural, rslt.params[:, 1], rtol=1e-04)
np.testing.assert_allclose(se_rural, rslt.bse[:, 1], rtol=1e-04)
np.testing.assert_allclose(t_rural, rslt.tvalues[:, 1], rtol=1e-04)
np.testing.assert_allclose(est_pov, rslt.params[:, 2], rtol=1e-04)
np.testing.assert_allclose(se_pov, rslt.bse[:, 2], rtol=1e-04)
np.testing.assert_allclose(t_pov, rslt.tvalues[:, 2], rtol=1e-04)
np.testing.assert_allclose(est_black, rslt.params[:, 3], rtol=1e-02)
np.testing.assert_allclose(se_black, rslt.bse[:, 3], rtol=1e-02)
np.testing.assert_allclose(t_black, rslt.tvalues[:, 3], rtol=1e-02)
np.testing.assert_allclose(yhat, rslt.mu, rtol=1e-05)
np.testing.assert_allclose(res, rslt.resid_response, rtol=1e-04)
np.testing.assert_allclose(std_res, rslt.std_res, rtol=1e-04)
np.testing.assert_allclose(localR2, rslt.localR2, rtol=1e-05)
np.testing.assert_allclose(inf, rslt.influ, rtol=1e-04)
np.testing.assert_allclose(cooksD, rslt.cooksD, rtol=1e-00)
def test_GS_NN(self):
est_Int = self.GS_NN.by_col(' est_Intercept')
se_Int = self.GS_NN.by_col(' se_Intercept')
t_Int = self.GS_NN.by_col(' t_Intercept')
est_OCC = self.GS_NN.by_col(' est_OCC_TEC')
se_OCC = self.GS_NN.by_col(' se_OCC_TEC')
t_OCC = self.GS_NN.by_col(' t_OCC_TEC')
est_OWN = self.GS_NN.by_col(' est_OWNH')
se_OWN = self.GS_NN.by_col(' se_OWNH')
t_OWN = self.GS_NN.by_col(' t_OWNH')
est_POP = self.GS_NN.by_col(' est_POP65')
se_POP = self.GS_NN.by_col(' se_POP65')
t_POP = self.GS_NN.by_col(' t_POP65')
est_UNEMP = self.GS_NN.by_col(' est_UNEMP')
se_UNEMP = self.GS_NN.by_col(' se_UNEMP')
t_UNEMP = self.GS_NN.by_col(' t_UNEMP')
yhat = self.GS_NN.by_col(' yhat')
pdev = np.array(self.GS_NN.by_col(' localpdev')).reshape((-1, 1))
model = GWR(self.coords,
self.y,
self.X,
bw=50,
family=Poisson(),
kernel='gaussian',
fixed=False)
rslt = model.fit()
AICc = get_AICc(rslt)
AIC = get_AIC(rslt)
BIC = get_BIC(rslt)
self.assertAlmostEquals(np.floor(AICc), 21070.0)
self.assertAlmostEquals(np.floor(AIC), 21069.0)
self.assertAlmostEquals(np.floor(BIC), 21111.0)
np.testing.assert_allclose(est_Int, rslt.params[:, 0], rtol=1e-04)
np.testing.assert_allclose(se_Int, rslt.bse[:, 0], rtol=1e-02)
np.testing.assert_allclose(t_Int, rslt.tvalues[:, 0], rtol=1e-02)
np.testing.assert_allclose(est_OCC, rslt.params[:, 1], rtol=1e-03)
np.testing.assert_allclose(se_OCC, rslt.bse[:, 1], rtol=1e-02)
np.testing.assert_allclose(t_OCC, rslt.tvalues[:, 1], rtol=1e-02)
np.testing.assert_allclose(est_OWN, rslt.params[:, 2], rtol=1e-04)
np.testing.assert_allclose(se_OWN, rslt.bse[:, 2], rtol=1e-02)
np.testing.assert_allclose(t_OWN, rslt.tvalues[:, 2], rtol=1e-02)
np.testing.assert_allclose(est_POP, rslt.params[:, 3], rtol=1e-02)
np.testing.assert_allclose(se_POP, rslt.bse[:, 3], rtol=1e-02)
np.testing.assert_allclose(t_POP, rslt.tvalues[:, 3], rtol=1e-02)
np.testing.assert_allclose(est_UNEMP, rslt.params[:, 4], rtol=1e-02)
np.testing.assert_allclose(se_UNEMP, rslt.bse[:, 4], rtol=1e-02)
np.testing.assert_allclose(t_UNEMP, rslt.tvalues[:, 4], rtol=1e-02)
np.testing.assert_allclose(yhat, rslt.mu, rtol=1e-04)
np.testing.assert_allclose(pdev, rslt.pDev, rtol=1e-05)
def test_BS_F(self):
est_Int = self.BS_F.by_col(' est_Intercept')
se_Int = self.BS_F.by_col(' se_Intercept')
t_Int = self.BS_F.by_col(' t_Intercept')
est_OCC = self.BS_F.by_col(' est_OCC_TEC')
se_OCC = self.BS_F.by_col(' se_OCC_TEC')
t_OCC = self.BS_F.by_col(' t_OCC_TEC')
est_OWN = self.BS_F.by_col(' est_OWNH')
se_OWN = self.BS_F.by_col(' se_OWNH')
t_OWN = self.BS_F.by_col(' t_OWNH')
est_POP = self.BS_F.by_col(' est_POP65')
se_POP = self.BS_F.by_col(' se_POP65')
t_POP = self.BS_F.by_col(' t_POP65')
est_UNEMP = self.BS_F.by_col(' est_UNEMP')
se_UNEMP = self.BS_F.by_col(' se_UNEMP')
t_UNEMP = self.BS_F.by_col(' t_UNEMP')
yhat = self.BS_F.by_col(' yhat')
pdev = np.array(self.BS_F.by_col(' localpdev')).reshape((-1, 1))
model = GWR(self.coords,
self.y,
self.X,
bw=26029.625,
family=Poisson(),
kernel='bisquare',
fixed=True)
rslt = model.fit()
AICc = get_AICc(rslt)
AIC = get_AIC(rslt)
BIC = get_BIC(rslt)
self.assertAlmostEquals(np.floor(AICc), 13294.0)
self.assertAlmostEquals(np.floor(AIC), 13247.0)
self.assertAlmostEquals(np.floor(BIC), 13485.0)
np.testing.assert_allclose(est_Int, rslt.params[:, 0], rtol=1e-05)
np.testing.assert_allclose(se_Int, rslt.bse[:, 0], rtol=1e-03)
np.testing.assert_allclose(t_Int, rslt.tvalues[:, 0], rtol=1e-03)
np.testing.assert_allclose(est_OCC, rslt.params[:, 1], rtol=1e-04)
np.testing.assert_allclose(se_OCC, rslt.bse[:, 1], rtol=1e-02)
np.testing.assert_allclose(t_OCC, rslt.tvalues[:, 1], rtol=1e-02)
np.testing.assert_allclose(est_OWN, rslt.params[:, 2], rtol=1e-04)
np.testing.assert_allclose(se_OWN, rslt.bse[:, 2], rtol=1e-03)
np.testing.assert_allclose(t_OWN, rslt.tvalues[:, 2], rtol=1e-03)
np.testing.assert_allclose(est_POP, rslt.params[:, 3], rtol=1e-04)
np.testing.assert_allclose(se_POP, rslt.bse[:, 3], rtol=1e-02)
np.testing.assert_allclose(t_POP, rslt.tvalues[:, 3], rtol=1e-02)
np.testing.assert_allclose(est_UNEMP, rslt.params[:, 4], rtol=1e-04)
np.testing.assert_allclose(se_UNEMP, rslt.bse[:, 4], rtol=1e-02)
np.testing.assert_allclose(t_UNEMP, rslt.tvalues[:, 4], rtol=1e-02)
np.testing.assert_allclose(yhat, rslt.mu, rtol=1e-05)
np.testing.assert_allclose(pdev, rslt.pDev, rtol=1e-05)
def test_GS_NN(self):
est_Int = self.GS_NN.by_col(' est_Intercept')
se_Int = self.GS_NN.by_col(' se_Intercept')
t_Int = self.GS_NN.by_col(' t_Intercept')
est_elev = self.GS_NN.by_col(' est_Elev')
se_elev = self.GS_NN.by_col(' se_Elev')
t_elev = self.GS_NN.by_col(' t_Elev')
est_slope = self.GS_NN.by_col(' est_Slope')
se_slope = self.GS_NN.by_col(' se_Slope')
t_slope = self.GS_NN.by_col(' t_Slope')
est_sin = self.GS_NN.by_col(' est_SinAspct')
se_sin = self.GS_NN.by_col(' se_SinAspct')
t_sin = self.GS_NN.by_col(' t_SinAspct')
est_cos = self.GS_NN.by_col(' est_CosAspct')
se_cos = self.GS_NN.by_col(' se_CosAspct')
t_cos = self.GS_NN.by_col(' t_CosAspct')
est_south = self.GS_NN.by_col(' est_AbsSouth')
se_south = self.GS_NN.by_col(' se_AbsSouth')
t_south = self.GS_NN.by_col(' t_AbsSouth')
est_strm = self.GS_NN.by_col(' est_DistStrm')
se_strm = self.GS_NN.by_col(' se_DistStrm')
t_strm = self.GS_NN.by_col(' t_DistStrm')
yhat = self.GS_NN.by_col(' yhat')
pdev = self.GS_NN.by_col(' localpdev')
model = GWR(self.coords,
self.y,
self.X,
bw=64,
family=Binomial(),
kernel='gaussian',
fixed=False)
rslt = model.fit()
AICc = get_AICc(rslt)
AIC = get_AIC(rslt)
BIC = get_BIC(rslt)
self.assertAlmostEquals(np.floor(AICc), 276.0)
self.assertAlmostEquals(np.floor(AIC), 273.0)
self.assertAlmostEquals(np.floor(BIC), 331.0)
np.testing.assert_allclose(est_Int, rslt.params[:, 0], rtol=1e-00)
np.testing.assert_allclose(se_Int, rslt.bse[:, 0], rtol=1e-00)
np.testing.assert_allclose(t_Int, rslt.tvalues[:, 0], rtol=1e-00)
np.testing.assert_allclose(est_elev, rslt.params[:, 1], rtol=1e-00)
np.testing.assert_allclose(se_elev, rslt.bse[:, 1], rtol=1e-00)
np.testing.assert_allclose(t_elev, rslt.tvalues[:, 1], rtol=1e-00)
np.testing.assert_allclose(est_slope, rslt.params[:, 2], rtol=1e-00)
np.testing.assert_allclose(se_slope, rslt.bse[:, 2], rtol=1e-00)
np.testing.assert_allclose(t_slope, rslt.tvalues[:, 2], rtol=1e-00)
np.testing.assert_allclose(est_sin, rslt.params[:, 3], rtol=1e01)
np.testing.assert_allclose(se_sin, rslt.bse[:, 3], rtol=1e01)
np.testing.assert_allclose(t_sin, rslt.tvalues[:, 3], rtol=1e01)
np.testing.assert_allclose(est_cos, rslt.params[:, 4], rtol=1e01)
np.testing.assert_allclose(se_cos, rslt.bse[:, 4], rtol=1e01)
np.testing.assert_allclose(t_cos, rslt.tvalues[:, 4], rtol=1e01)
np.testing.assert_allclose(est_south, rslt.params[:, 5], rtol=1e01)
np.testing.assert_allclose(se_south, rslt.bse[:, 5], rtol=1e01)
np.testing.assert_allclose(t_south, rslt.tvalues[:, 5], rtol=1e01)
np.testing.assert_allclose(est_strm, rslt.params[:, 6], rtol=1e02)
np.testing.assert_allclose(se_strm, rslt.bse[:, 6], rtol=1e01)
np.testing.assert_allclose(t_strm, rslt.tvalues[:, 6], rtol=1e02)
np.testing.assert_allclose(yhat, rslt.mu, rtol=1e-00)
def test_BS_F(self):
est_Int = self.BS_F.by_col(' est_Intercept')
se_Int = self.BS_F.by_col(' se_Intercept')
t_Int = self.BS_F.by_col(' t_Intercept')
est_elev = self.BS_F.by_col(' est_Elev')
se_elev = self.BS_F.by_col(' se_Elev')
t_elev = self.BS_F.by_col(' t_Elev')
est_slope = self.BS_F.by_col(' est_Slope')
se_slope = self.BS_F.by_col(' se_Slope')
t_slope = self.BS_F.by_col(' t_Slope')
est_sin = self.BS_F.by_col(' est_SinAspct')
se_sin = self.BS_F.by_col(' se_SinAspct')
t_sin = self.BS_F.by_col(' t_SinAspct')
est_cos = self.BS_F.by_col(' est_CosAspct')
se_cos = self.BS_F.by_col(' se_CosAspct')
t_cos = self.BS_F.by_col(' t_CosAspct')
est_south = self.BS_F.by_col(' est_AbsSouth')
se_south = self.BS_F.by_col(' se_AbsSouth')
t_south = self.BS_F.by_col(' t_AbsSouth')
est_strm = self.BS_F.by_col(' est_DistStrm')
se_strm = self.BS_F.by_col(' se_DistStrm')
t_strm = self.BS_F.by_col(' t_DistStrm')
yhat = self.BS_F.by_col(' yhat')
pdev = np.array(self.BS_F.by_col(' localpdev')).reshape((-1, 1))
model = GWR(self.coords,
self.y,
self.X,
bw=19642.170,
family=Binomial(),
kernel='bisquare',
fixed=True)
rslt = model.fit()
AICc = get_AICc(rslt)
AIC = get_AIC(rslt)
BIC = get_BIC(rslt)
self.assertAlmostEquals(np.floor(AICc), 275.0)
self.assertAlmostEquals(np.floor(AIC), 271.0)
self.assertAlmostEquals(np.floor(BIC), 349.0)
np.testing.assert_allclose(est_Int, rslt.params[:, 0], rtol=1e-00)
np.testing.assert_allclose(se_Int, rslt.bse[:, 0], rtol=1e-00)
np.testing.assert_allclose(t_Int, rslt.tvalues[:, 0], rtol=1e-00)
np.testing.assert_allclose(est_elev, rslt.params[:, 1], rtol=1e-00)
np.testing.assert_allclose(se_elev, rslt.bse[:, 1], rtol=1e-00)
np.testing.assert_allclose(t_elev, rslt.tvalues[:, 1], rtol=1e-00)
np.testing.assert_allclose(est_slope, rslt.params[:, 2], rtol=1e-00)
np.testing.assert_allclose(se_slope, rslt.bse[:, 2], rtol=1e-00)
np.testing.assert_allclose(t_slope, rslt.tvalues[:, 2], rtol=1e-00)
np.testing.assert_allclose(est_sin, rslt.params[:, 3], rtol=1e01)
np.testing.assert_allclose(se_sin, rslt.bse[:, 3], rtol=1e01)
np.testing.assert_allclose(t_sin, rslt.tvalues[:, 3], rtol=1e01)
np.testing.assert_allclose(est_cos, rslt.params[:, 4], rtol=1e01)
np.testing.assert_allclose(se_cos, rslt.bse[:, 4], rtol=1e01)
np.testing.assert_allclose(t_cos, rslt.tvalues[:, 4], rtol=1e01)
np.testing.assert_allclose(est_south, rslt.params[:, 5], rtol=1e01)
np.testing.assert_allclose(se_south, rslt.bse[:, 5], rtol=1e01)
np.testing.assert_allclose(t_south, rslt.tvalues[:, 5], rtol=1e01)
np.testing.assert_allclose(est_strm, rslt.params[:, 6], rtol=1e02)
np.testing.assert_allclose(se_strm, rslt.bse[:, 6], rtol=1e01)
np.testing.assert_allclose(t_strm, rslt.tvalues[:, 6], rtol=1e02)
np.testing.assert_allclose(yhat, rslt.mu, rtol=1e-01)
def test_Prediction(self):
coords = np.array(self.coords)
index = np.arange(len(self.y))
#train = index[0:-10]
test = index[-10:]
#y_train = self.y[train]
#X_train = self.X[train]
#coords_train = list(coords[train])
#y_test = self.y[test]
X_test = self.X[test]
coords_test = list(coords[test])
model = GWR(self.coords,
self.y,
self.X,
93,
family=Gaussian(),
fixed=False,
kernel='bisquare')
results = model.predict(coords_test, X_test)
params = np.array([
22.77198, -0.10254, -0.215093, -0.01405, 19.10531, -0.094177,
-0.232529, 0.071913, 19.743421, -0.080447, -0.30893, 0.083206,
17.505759, -0.078919, -0.187955, 0.051719, 27.747402, -0.165335,
-0.208553, 0.004067, 26.210627, -0.138398, -0.360514, 0.072199,
18.034833, -0.077047, -0.260556, 0.084319, 28.452802, -0.163408,
-0.14097, -0.063076, 22.353095, -0.103046, -0.226654, 0.002992,
18.220508, -0.074034, -0.309812, 0.108636
]).reshape((10, 4))
np.testing.assert_allclose(params, results.params, rtol=1e-03)
bse = np.array([
2.080166, 0.021462, 0.102954, 0.049627, 2.536355, 0.022111,
0.123857, 0.051917, 1.967813, 0.019716, 0.102562, 0.054918,
2.463219, 0.021745, 0.110297, 0.044189, 1.556056, 0.019513,
0.12764, 0.040315, 1.664108, 0.020114, 0.131208, 0.041613, 2.5835,
0.021481, 0.113158, 0.047243, 1.709483, 0.019752, 0.116944,
0.043636, 1.958233, 0.020947, 0.09974, 0.049821, 2.276849,
0.020122, 0.107867, 0.047842
]).reshape((10, 4))
np.testing.assert_allclose(bse, results.bse, rtol=1e-03)
tvalues = np.array([
10.947193, -4.777659, -2.089223, -0.283103, 7.532584, -4.259179,
-1.877395, 1.385161, 10.033179, -4.080362, -3.012133, 1.515096,
7.106862, -3.629311, -1.704079, 1.17042, 17.831878, -8.473156,
-1.633924, 0.100891, 15.750552, -6.880725, -2.74765, 1.734978,
6.980774, -3.586757, -2.302575, 1.784818, 16.644095, -8.273001,
-1.205451, -1.445501, 11.414933, -4.919384, -2.272458, 0.060064,
8.00251, -3.679274, -2.872176, 2.270738
]).reshape((10, 4))
np.testing.assert_allclose(tvalues, results.tvalues, rtol=1e-03)
localR2 = np.array([[0.53068693], [0.59582647], [0.59700925],
[0.45769954], [0.54634509], [0.5494828],
[0.55159604], [0.55634237], [0.53903842],
[0.55884954]])
np.testing.assert_allclose(localR2, results.localR2, rtol=1e-05)
def test_BS_NN_Offset(self):
est_Int = self.BS_NN_OFF.by_col(' est_Intercept')
se_Int = self.BS_NN_OFF.by_col(' se_Intercept')
t_Int = self.BS_NN_OFF.by_col(' t_Intercept')
est_OCC = self.BS_NN_OFF.by_col(' est_OCC_TEC')
se_OCC = self.BS_NN_OFF.by_col(' se_OCC_TEC')
t_OCC = self.BS_NN_OFF.by_col(' t_OCC_TEC')
est_OWN = self.BS_NN_OFF.by_col(' est_OWNH')
se_OWN = self.BS_NN_OFF.by_col(' se_OWNH')
t_OWN = self.BS_NN_OFF.by_col(' t_OWNH')
est_POP = self.BS_NN_OFF.by_col(' est_POP65')
se_POP = self.BS_NN_OFF.by_col(' se_POP65')
t_POP = self.BS_NN_OFF.by_col(' t_POP65')
est_UNEMP = self.BS_NN_OFF.by_col(' est_UNEMP')
se_UNEMP = self.BS_NN_OFF.by_col(' se_UNEMP')
t_UNEMP = self.BS_NN_OFF.by_col(' t_UNEMP')
yhat = self.BS_NN_OFF.by_col(' yhat')
pdev = np.array(self.BS_NN_OFF.by_col(' localpdev')).reshape((-1, 1))
model = GWR(self.coords,
self.y,
self.X,
bw=100,
offset=self.off,
family=Poisson(),
kernel='bisquare',
fixed=False)
rslt = model.fit()
AICc = get_AICc(rslt)
AIC = get_AIC(rslt)
BIC = get_BIC(rslt)
self.assertAlmostEqual(np.floor(AICc), 367.0)
self.assertAlmostEqual(np.floor(AIC), 361.0)
self.assertAlmostEqual(np.floor(BIC), 451.0)
np.testing.assert_allclose(est_Int,
rslt.params[:, 0],
rtol=1e-02,
atol=1e-02)
np.testing.assert_allclose(se_Int,
rslt.bse[:, 0],
rtol=1e-02,
atol=1e-02)
np.testing.assert_allclose(t_Int,
rslt.tvalues[:, 0],
rtol=1e-01,
atol=1e-02)
np.testing.assert_allclose(est_OCC,
rslt.params[:, 1],
rtol=1e-03,
atol=1e-02)
np.testing.assert_allclose(se_OCC,
rslt.bse[:, 1],
rtol=1e-02,
atol=1e-02)
np.testing.assert_allclose(t_OCC,
rslt.tvalues[:, 1],
rtol=1e-01,
atol=1e-02)
np.testing.assert_allclose(est_OWN,
rslt.params[:, 2],
rtol=1e-04,
atol=1e-02)
np.testing.assert_allclose(se_OWN,
rslt.bse[:, 2],
rtol=1e-02,
atol=1e-02)
np.testing.assert_allclose(t_OWN,
rslt.tvalues[:, 2],
rtol=1e-01,
atol=1e-02)
np.testing.assert_allclose(est_POP,
rslt.params[:, 3],
rtol=1e-03,
atol=1e-02)
np.testing.assert_allclose(se_POP,
rslt.bse[:, 3],
rtol=1e-02,
atol=1e-02)
np.testing.assert_allclose(t_POP,
rslt.tvalues[:, 3],
rtol=1e-01,
atol=1e-02)
np.testing.assert_allclose(est_UNEMP,
rslt.params[:, 4],
rtol=1e-04,
atol=1e-02)
np.testing.assert_allclose(se_UNEMP,
rslt.bse[:, 4],
rtol=1e-02,
atol=1e-02)
np.testing.assert_allclose(t_UNEMP,
rslt.tvalues[:, 4],
rtol=1e-01,
atol=1e-02)
np.testing.assert_allclose(yhat, rslt.mu, rtol=1e-03, atol=1e-02)
np.testing.assert_allclose(pdev, rslt.pDev, rtol=1e-04, atol=1e-02)