def reg2(T):
global i
print(i)
i+=1
#防止全部为Nan
if T.isnull().sum()!=T.shape[0]:
window = 50
tscv = TimeSeriesSplit(n_splits = T.shape[0]-window+1)
new_dd = pd.Series(np.NAN,index=T.index)
for train_index, test_index in tscv.split(T):
#print("TRAIN:", train_index[-window:], "TEST:", test_index)
X, Y = T.iloc[train_index[-window:]],bench.iloc[train_index[-window:]]
#防止全部为Nan
if X.isnull().sum()!=X.shape[0]:
X = sm.add_constant(X)
model = OLS(Y,X,missing='drop')
results = model.fit()
res = results.resid.iloc[-1]
new_dd.iloc[train_index[-1]] = res
#计算最后一个
X, Y = T.iloc[-window:],bench.iloc[-window:]
#防止全部为Nan
if X.isnull().sum()!=X.shape[0]:
X = sm.add_constant(X)
model = OLS(Y,X,missing='drop')
results = model.fit()
res = results.resid.iloc[-1]
new_dd.iloc[-1] = res
return new_dd
else:
return T
else:
return T
def research_pair_trading_opportunity(currency1, currency2):
name1, name2 = currency1.name, currency2.name
print(f"Researching Pair {name1} and {name2}")
model = OLS(currency1, sm.add_constant(currency2))
ols_results = model.fit()
print("Prices OLS results:")
print(
f"const: {ols_results.params['const']} || {name2} {ols_results.params[name2]}"
)
coint_series = currency1 - currency2 * ols_results.params[name2]
coint_series.plot()
plt.show()
dependent_var = coint_series.diff()[1:]
independent_var = coint_series.shift(1)[1:]
independent_var.name = "val_prev"
model = OLS(dependent_var, sm.add_constant(independent_var))
ols_results = model.fit()
ols_results.params
print("Diff of Cointegrating Series OLS Results:")
print(
f"const: {ols_results.params['const']} || {ols_results.params['val_prev']}"
)
print("Mean-Reverse Half-life:",
-np.log(2) / ols_results.params["val_prev"])
def test_permuted_ols_statsmodels_withcovar_multivariate(random_state=0):
"""Test permuted_ols with multiple tested variates and covariates.
It is equivalent to fitting several models with only one tested variate.
This test has a statsmodels dependance. There seems to be no simple,
alternative way to perform a F-test on a linear model including
covariates.
"""
try:
from statsmodels.regression.linear_model import OLS
except:
warnings.warn("Statsmodels is required to run this test")
raise nose.SkipTest
rng = check_random_state(random_state)
# design parameters
n_samples = 50
n_targets = 10
n_covars = 2
# create design
target_vars = rng.randn(n_samples, n_targets)
tested_var = rng.randn(n_samples, 1)
confounding_vars = rng.randn(n_samples, n_covars)
# statsmodels OLS
fvals = np.empty((n_targets, 1))
test_matrix = np.array([[1.] + [0.] * n_covars])
for i in range(n_targets):
ols = OLS(target_vars[:, i], np.hstack((tested_var, confounding_vars)))
fvals[i] = ols.fit().f_test(test_matrix).fvalue[0][0]
# permuted OLS
_, orig_scores, _ = permuted_ols(tested_var,
target_vars,
confounding_vars,
model_intercept=False,
n_perm=0,
random_state=random_state)
assert_almost_equal(fvals, orig_scores, decimal=6)
### Adds intercept
# permuted OLS
_, orig_scores_addintercept, _ = permuted_ols(tested_var,
target_vars,
confounding_vars,
model_intercept=True,
n_perm=0,
random_state=random_state)
# statsmodels OLS
confounding_vars = np.hstack((confounding_vars, np.ones((n_samples, 1))))
fvals_addintercept = np.empty((n_targets, 1))
test_matrix = np.array([[1.] + [0.] * (n_covars + 1)])
for i in range(n_targets):
ols = OLS(target_vars[:, i], np.hstack((tested_var, confounding_vars)))
fvals_addintercept[i] = ols.fit().f_test(test_matrix).fvalue[0][0]
assert_array_almost_equal(fvals_addintercept,
orig_scores_addintercept,
decimal=6)
def test_qr_equiv(cov_info):
cov_type, cov_kwds = cov_info
rs = np.random.RandomState(123498)
x = rs.standard_normal((500, 3))
b = np.ones(3)
y = x @ b + rs.standard_normal(500)
mod = OLS(y, x)
pinv_fit = mod.fit(cov_type=cov_type, cov_kwds=cov_kwds)
qr_fit = mod.fit(cov_type=cov_type, cov_kwds=cov_kwds, method="qr")
assert_allclose(pinv_fit.bse, qr_fit.bse)
def setup_class(cls):
cls.cov_type = 'HAC'
kwds = {'kernel': sw.weights_uniform, 'maxlags': 2}
mod1 = GLM(endog, exog, family=families.Gaussian())
cls.res1 = mod1.fit(cov_type='HAC', cov_kwds=kwds)
mod2 = OLS(endog, exog)
cls.res2 = mod2.fit(cov_type='HAC', cov_kwds=kwds)
#for debugging
cls.res3 = mod2.fit(cov_type='HAC', cov_kwds={'maxlags': 2})
def setup_class(cls):
cls.cov_type = 'HAC'
kwds={'kernel':sw.weights_uniform, 'maxlags':2}
mod1 = GLM(endog, exog, family=families.Gaussian())
cls.res1 = mod1.fit(cov_type='HAC', cov_kwds=kwds)
mod2 = OLS(endog, exog)
cls.res2 = mod2.fit(cov_type='HAC', cov_kwds=kwds)
#for debugging
cls.res3 = mod2.fit(cov_type='HAC', cov_kwds={'maxlags':2})
def test_permuted_ols_statsmodels_withcovar_multivariate(random_state=0):
"""Test permuted_ols with multiple tested variates and covariates.
It is equivalent to fitting several models with only one tested variate.
This test has a statsmodels dependance. There seems to be no simple,
alternative way to perform a F-test on a linear model including
covariates.
"""
try:
from statsmodels.regression.linear_model import OLS
except:
warnings.warn("Statsmodels is required to run this test")
raise nose.SkipTest
rng = check_random_state(random_state)
# design parameters
n_samples = 50
n_targets = 10
n_covars = 2
# create design
target_vars = rng.randn(n_samples, n_targets)
tested_var = rng.randn(n_samples, 1)
confounding_vars = rng.randn(n_samples, n_covars)
# statsmodels OLS
fvals = np.empty((n_targets, 1))
test_matrix = np.array([[1.0] + [0.0] * n_covars])
for i in range(n_targets):
ols = OLS(target_vars[:, i], np.hstack((tested_var, confounding_vars)))
fvals[i] = ols.fit().f_test(test_matrix).fvalue[0][0]
# permuted OLS
_, orig_scores, _ = permuted_ols(
tested_var, target_vars, confounding_vars, model_intercept=False, n_perm=0, random_state=random_state
)
assert_almost_equal(fvals, orig_scores, decimal=6)
### Adds intercept
# permuted OLS
_, orig_scores_addintercept, _ = permuted_ols(
tested_var, target_vars, confounding_vars, model_intercept=True, n_perm=0, random_state=random_state
)
# statsmodels OLS
confounding_vars = np.hstack((confounding_vars, np.ones((n_samples, 1))))
fvals_addintercept = np.empty((n_targets, 1))
test_matrix = np.array([[1.0] + [0.0] * (n_covars + 1)])
for i in range(n_targets):
ols = OLS(target_vars[:, i], np.hstack((tested_var, confounding_vars)))
fvals_addintercept[i] = ols.fit().f_test(test_matrix).fvalue[0][0]
assert_array_almost_equal(fvals_addintercept, orig_scores_addintercept, decimal=6)
def test_estimates():
mod = RecursiveLS(endog, exog)
res = mod.fit()
# Test for start_params
assert_equal(mod.start_params, 0)
# Test the RLS coefficient estimates against those from R (quantreg)
# Due to initialization issues, we get more agreement as we get
# farther from the initial values.
assert_allclose(res.recursive_coefficients.filtered[:, 2:10].T,
results_R.iloc[:8][['beta1', 'beta2']],
atol=1e-2,
rtol=1e-3)
assert_allclose(res.recursive_coefficients.filtered[:, 9:20].T,
results_R.iloc[7:18][['beta1', 'beta2']],
atol=1e-3,
rtol=1e-4)
assert_allclose(res.recursive_coefficients.filtered[:, 19:].T,
results_R.iloc[17:][['beta1', 'beta2']],
atol=1e-4,
rtol=1e-4)
# Test the RLS estimates against OLS estimates
mod_ols = OLS(endog, exog)
res_ols = mod_ols.fit()
assert_allclose(res.params, res_ols.params)
def fit_dlogM_mw(tab, sfrsd_tab, mltype='ring', mlb='i'):
merge_tab = t.join(tab, sfrsd_tab, 'plateifu')
is_agn = m.mask_from_maskbits(merge_tab['mngtarg3'], [1, 2, 3, 4])
mlb_ix = totalmass.StellarMass.bands_ixs[mlb]
absmag_sun_mlb = totalmass.StellarMass.absmag_sun[mlb_ix]
logmass_in_ifu = merge_tab['mass_in_ifu'].to(u.dex(u.Msun))
logmass_in_ifu_lw = merge_tab['ml_fluxwt'] + merge_tab['ifu_absmag'][:, mlb_ix].to(
u.dex(m.bandpass_sol_l_unit), totalmass.bandpass_flux_to_solarunits(absmag_sun_mlb))
merge_tab['dlogmass_lw'] = logmass_in_ifu - logmass_in_ifu_lw
ha_corr = np.exp(merge_tab['mean_atten_mwtd'] * (6563 / 5500)**-1.3)
sfrsd = merge_tab['sigma_sfr'] * ha_corr * u.Msun / u.yr / u.pc**2
mass_pca = merge_tab['mass_in_ifu'] + merge_tab['outer_mass_{}'.format(mltype)]
ssfrsd = sfrsd / mass_pca
merge_tab['log_ssfrsd'] = ssfrsd.to(u.dex(ssfrsd.unit))
merge_tab['log_ssfrsd'][~np.isfinite(merge_tab['log_ssfrsd'])] = np.nan * merge_tab['log_ssfrsd'].unit
ols = OLS(
endog=np.array(merge_tab['dlogmass_lw'][~is_agn]),
exog=sm_add_constant(
t.Table(merge_tab['mean_atten_mwtd', 'std_atten_mwtd', 'log_ssfrsd'])[~is_agn].to_pandas(),
prepend=False),
hasconst=True, missing='drop')
olsfit = ols.fit()
return olsfit
def setup(self):
model = OLS(self.res1.model.endog, self.res1.model.exog)
# res_ols = self.res1.model.fit(cov_type='cluster',
res_ols = model.fit(
cov_type="cluster",
cov_kwds=dict(
groups=self.groups,
use_correction=False,
use_t=False,
df_correction=True,
),
)
self.res3 = self.res1
self.res1 = res_ols
self.bse_robust = res_ols.bse
self.cov_robust = res_ols.cov_params()
cov1 = sw.cov_cluster(self.res1, self.groups, use_correction=False)
se1 = sw.se_cov(cov1)
self.bse_robust2 = se1
self.cov_robust2 = cov1
self.small = False
self.res2 = res2.results_cluster_large
self.skip_f = True
self.rtol = 1e-6
self.rtolh = 1e-10
def fit_ols(regressors, x):
X = c_[list(regressors.values())].T
X1 = DataFrame(X, columns=regressors.keys())
X1 = add_constant(X1)
model = OLS(x, X1, missing='drop')
return model.fit()
def fit_dlogM_mw(tab, sfrsd_tab, mltype='ring', mlb='i'):
merge_tab = t.join(tab, sfrsd_tab, 'plateifu')
is_agn = m.mask_from_maskbits(merge_tab['mngtarg3'], [1, 2, 3, 4])
mlb_ix = totalmass.StellarMass.bands_ixs[mlb]
absmag_sun_mlb = totalmass.StellarMass.absmag_sun[mlb_ix]
logmass_in_ifu = merge_tab['mass_in_ifu'].to(u.dex(u.Msun))
logmass_in_ifu_lw = merge_tab['ml_fluxwt'] + merge_tab[f'logsollum_in_ifu_{mlb}']
merge_tab['dlogmass_lw'] = logmass_in_ifu - logmass_in_ifu_lw
std_atten_mwtd = merge_tab['std_atten_mwtd']
mean_atten_mwtd = merge_tab['mean_atten_mwtd']
ha_corr = np.exp(merge_tab['mean_atten_mwtd'] * (6563 / 5500)**-1.3)
sfrsd = merge_tab['sigma_sfr'] * ha_corr * u.Msun / u.yr / u.pc**2
outer_mass = (merge_tab[f'outerml_{mltype}'] + \
merge_tab[f'logsollum_outer_{mlb}']).to(u.Msun)
mass_pca = merge_tab['mass_in_ifu'].to(u.Msun) + outer_mass
ssfrsd = sfrsd / mass_pca
merge_tab['log_ssfrsd'] = ssfrsd.to(u.dex(ssfrsd.unit))
merge_tab['log_ssfrsd'][~np.isfinite(merge_tab['log_ssfrsd'])] = np.nan * merge_tab['log_ssfrsd'].unit
ols = OLS(
endog=np.array(merge_tab['dlogmass_lw'][~is_agn]),
exog=sm_add_constant(
t.Table(merge_tab['mean_atten_mwtd', 'std_atten_mwtd', 'log_ssfrsd'])[~is_agn].to_pandas(),
prepend=False),
hasconst=True, missing='drop')
olsfit = ols.fit()
return olsfit
def port_ret_summary():
output = {}
for prefix in ['part1_dollar_port#', 'part1_carry_timed_dollar_port#']:
for suffix in ['', ' #no peg']:
ret = get_port_ret_df(prefix, suffix)
ret.loc[:, 'carry'] = data['carry' + suffix]
ret = ret.dropna()
label = prefix + suffix
t = ret.mean() / ret.std() * len(ret) ** 0.5 # t on mean return
# regress on carry
x = sm.add_constant(ret['carry'])
ols_series = pd.Series()
for i in range(7):
if i == 6:
olslabel = 'HML'
y = ret[5] - ret[0]
else:
olslabel = str(i)
y = ret[i]
model = OLS(y, x)
results = model.fit()
ols_series = ols_series.combine_first(
pd.Series({'alpha to carry': results.params['const'] * 12, 'beta to carry': results.params['carry'],
't(alpha to carry)': results.tvalues['const'], 't(beta to carry)': results.tvalues['carry']}
).add_suffix('#' + olslabel))
output[label] = (ret.mean().multiply(12)).add_prefix('mean return#').combine_first(
t.add_prefix('t(mean return)#')).combine_first(
pd.Series({'nobs': len(ret)})).combine_first(ols_series)
output = pd.DataFrame(output)
def test_resid_recursive():
mod = RecursiveLS(endog, exog)
res = mod.fit()
# Test the recursive residuals against those from R (strucchange)
# Due to initialization issues, we get more agreement as we get
# farther from the initial values.
assert_allclose(res.resid_recursive[2:10].T,
results_R.iloc[:8]['rec_resid'],
atol=1e-2,
rtol=1e-3)
assert_allclose(res.resid_recursive[9:20].T,
results_R.iloc[7:18]['rec_resid'],
atol=1e-3,
rtol=1e-4)
assert_allclose(res.resid_recursive[19:].T,
results_R.iloc[17:]['rec_resid'],
atol=1e-4,
rtol=1e-4)
# Test the RLS estimates against those from Stata (cusum6)
assert_allclose(res.resid_recursive[3:],
results_stata.iloc[3:]['rr'],
atol=1e-3)
# Test the RLS estimates against statsmodels estimates
mod_ols = OLS(endog, exog)
res_ols = mod_ols.fit()
desired_resid_recursive = recursive_olsresiduals(res_ols)[4][2:]
assert_allclose(res.resid_recursive[2:],
desired_resid_recursive,
atol=1e-4,
rtol=1e-4)
def regress_out_pupils(raw,
ocular_channels=['Fpz', 'Fp1', 'Fp2', 'AF7', 'AF8'],
method='PCA'):
"""
raw: Continuous raw data in MNE format
ocular_channels: can be labels of EOG channels or EEG channels close to the
eyes if no EOG was recorded
method: how to combine the ocular channels. Can be 'PCA', 'mean', or 'median'.
"""
raw_data = raw.get_data(picks='eeg')
ocular_data = raw.get_data(picks=ocular_channels)
if method == 'PCA':
pca = PCA()
comps = pca.fit_transform(ocular_data.T)
ocular_chan = comps[:, 0]
elif method == 'mean':
ocular_chan = np.mean(ocular_data, axis=0)
elif method == 'median':
ocular_chan = np.median(ocular_data, axis=0)
for ch in range(raw_data.shape[0]):
m = OLS(raw_data[ch, :], ocular_chan)
raw_data[ch, :] -= m.fit().predict()
raw._data[:raw_data.shape[0], :] = raw_data
return raw
def rew_prev_behaviour(data):
dm = data['DM'][0]
results_array = []
std_err = []
for s, sess in enumerate(dm):
DM = dm[s]
choices = DM[:, 1]
reward = DM[:, 2]
reward_2_ago = reward[1:-2]
reward_3_ago = reward[:-3]
reward_prev = reward[2:-1]
reward_current = reward[3:]
choices_2_ago = 0.5 - choices[1:-2]
choices_3_ago = 0.5 - choices[:-3]
choices_prev = 0.5 - choices[2:-1]
choices_current = 0.5 - choices[3:]
choices_2_ago_rew = ((choices_2_ago) * (reward_2_ago - 0.5)) * 2
choices_3_ago_rew = ((choices_3_ago) * (reward_3_ago - 0.5)) * 2
choices_prev_rew = ((choices_prev) * (reward_prev - 0.5)) * 2
ones = np.ones(len(choices_current))
trials = len(choices_current)
predictors_all = OrderedDict([
('1 ago Outcome', reward_prev),
('2 ago Outcome', reward_2_ago),
('3 ago Outcome', reward_3_ago),
# ('4 ago Outcome', reward_4_ago),
('1 ago Choice', choices_prev),
('2 ago Choice', choices_2_ago),
('3 ago Choice', choices_3_ago),
# ('4 ago Choice', choices_4_ago),
('1 ago Choice Rew', choices_prev_rew),
('2 ago Choice Rew', choices_2_ago_rew),
('3 ago Choice Rew', choices_3_ago_rew),
# ('4 ago Choice Rew', choices_4_ago_rew),
('ones', ones)
])
X = np.vstack(predictors_all.values()).T[:trials, :].astype(float)
#choices_current = choices_current.reshape(trials,1)
rank = np.linalg.matrix_rank(X)
n_predictors = X.shape[1]
#model = sm.Logit(choices_current,X)
model = OLS(choices_current, X)
results = model.fit()
results_array.append(results.params)
cov = results.cov_params()
std_err.append(np.sqrt(np.diag(cov)))
average = np.sum((results_array), 0) / np.sqrt(np.sum(std_err, 0))
def setup_class(cls):
cls.cov_type = 'HC0'
mod1 = GLM(endog, exog, family=families.Gaussian())
cls.res1 = mod1.fit(cov_type='HC0')
mod2 = OLS(endog, exog)
cls.res2 = mod2.fit(cov_type='HC0')
def ols_autoreg_result(request):
ar, seasonal, trend, exog, cov_type = request.param
y, x, endog, exog = gen_ols_regressors(ar, seasonal, trend, exog)
ar_mod = AutoReg(y, ar, seasonal=seasonal, trend=trend, exog=x)
ar_res = ar_mod.fit(cov_type=cov_type)
ols = OLS(endog, exog)
ols_res = ols.fit(cov_type=cov_type, use_t=False)
return ar_res, ols_res
def setup_class(cls):
cls.cov_type = 'cluster'
mod1 = GLM(endog, exog, family=families.Gaussian())
cls.res1 = mod1.fit(cov_type='cluster', cov_kwds=dict(groups=group))
mod2 = OLS(endog, exog)
cls.res2 = mod2.fit(cov_type='cluster', cov_kwds=dict(groups=group))
def stats(self, parent):
from statsmodels.regression.linear_model import OLS
model = OLS(parent.endog, parent.exog)
result = model.fit()
q = len(result.params) // 2
stats = np.abs(result.params[0:q]) - np.abs(result.params[q:])
return stats
def setup_class(cls):
cls.cov_type = 'cluster'
mod1 = GLM(endog, exog, family=families.Gaussian())
cls.res1 = mod1.fit(cov_type='cluster', cov_kwds=dict(groups=group))
mod2 = OLS(endog, exog)
cls.res2 = mod2.fit(cov_type='cluster', cov_kwds=dict(groups=group))
def setup_class(cls):
cls.cov_type = 'HC0'
mod1 = GLM(endog, exog, family=families.Gaussian())
cls.res1 = mod1.fit(cov_type='HC0')
mod2 = OLS(endog, exog)
cls.res2 = mod2.fit(cov_type='HC0')
def bivariate_expression_plot(
ax: plt.Axes,
data: [np.ndarray, np.ndarray],
feature: str,
feature_name: str = "Feature",
cmap: colormap = plt.cm.magma,
alpha: float = 0.05,
distance_scale_factor: float = 1,
**kwargs,
) -> np.ndarray:
xs = data[0]
ys = data[1]
model_full = OLS(ys, xs, hasconst=True)
model_x1 = OLS(ys, xs[:, [0, 1]])
model_x2 = OLS(ys, xs[:, [0, 2]])
model_0 = OLS(ys, xs[:, 0])
results_full = model_full.fit()
results_x1 = model_x1.fit()
results_x2 = model_x2.fit()
results_0 = model_0.fit()
likelihood = np.array(
[results_full.llf, results_x1.llf, results_x2.llf, results_0.llf])
insig = np.any(results_full.pvalues > alpha)
XY, Z, reshape_shape = expression_fields(xs, ys, results_full)
XY = XY * distance_scale_factor
plot_field(ax,
Z.reshape(reshape_shape),
XY,
fontsize=kwargs.get("label_fontsize", 15),
cmap=cmap)
ax.set_title("{} : {}".format(feature_name, feature) +
("(*)" if insig else ""),
fontsize=kwargs.get("title_fontsize", 25))
return likelihood
def estimate_ols(x, y, constant=True):
from statsmodels.regression.linear_model import OLS
if constant == True:
reg = OLS(y, add_constant(x))
else:
reg = OLS(y, x) #Logistic regression
result = reg.fit()
betahat = result.params
return np.array(betahat)
def polynomial_regression(df, target_col, cutoff_date, y_max, min_license_year, max_license_year, degree=5, type=""):
print(f"{'=' * 10}Polynomial Regression {degree} Method Results{'=' * 10}")
df.reset_index(inplace=True)
X = df[["date", "treatment"]].astype(int).values
y = df[[target_col]].values
polyfeatures = PolynomialFeatures(degree, include_bias=False).fit_transform(X[:, 0].reshape(-1, 1))
X_c = np.concatenate([polyfeatures, X[:, 1].reshape(-1, 1)], axis=1)
X_sm = sm.add_constant(X_c.copy())
lr_stats = OLS(y, X_sm)
results = lr_stats.fit(method='qr')
polyreg = LinearRegression()
polyreg.fit(X_c, y)
effect = polyreg.coef_[0][-1]
print(f"Treatment effect on {target_col} is {effect}")
print(f"CI: {np.round(results.conf_int()[-1], 3)}, pvalue={round(results.pvalues[-1], 3)}")
plt.scatter(X[:, 0], y, c="black")
plt.xlim([min_license_year - 0.2, max_license_year + 0.2]) # 2005.8, 2018.2
plt.ylim([0, y_max])
X0 = X_c[X_c[:, -1] == 0]
cutoff_date_polyfeatures = PolynomialFeatures(degree, include_bias=False).fit_transform(np.array([cutoff_date]).reshape(-1, 1))
X0 = np.concatenate([X0, [list(cutoff_date_polyfeatures[0]) + [0]]])
X1 = X_c[X_c[:, -1] == 1]
X1 = np.concatenate([[list(cutoff_date_polyfeatures[0]) + [1]], X1])
# 300 represents number of points to make between T.min and T.max
xnew = np.linspace(X0[:, 0].min(), X0[:, 0].max(), 300)
spl = make_interp_spline(X0[:, 0], polyreg.predict(X0), k=3) # type: BSpline
power_smooth = spl(xnew)
plt.plot(xnew, power_smooth, label="old accompaniment program")
xnew = np.linspace(X1[:, 0].min(), X1[:, 0].max(), 300)
spl = make_interp_spline(X1[:, 0], polyreg.predict(X1), k=3) # type: BSpline
power_smooth = spl(xnew)
plt.plot(xnew, power_smooth, label="new accompaniment program")
# plt.plot(X0[:, 0], polyreg.predict(X0), c="blue", label="old accompaniment program")
# plt.plot(X1[:, 0], polyreg.predict(X1), c="orange", label="new accompaniment program")
plt.axvline(x=cutoff_date, linestyle='--', c="black", label="cut-off date")
plt.xlabel("Year of issued license")
if target_col == "normalized_number_of_drivers_in_accidents":
ylabel = "number of drivers in accidents in 2019 per 10K drivers"
else:
ylabel = "number of drivers in accidents in 2019"
plt.ylabel(ylabel)
plt.ylabel(ylabel)
plt.title(f"RD by Polynomial Regression w/ degree {degree}")
plt.legend()
plt.savefig(f"results/PolynomialRegression_deg_{degree}_{target_col}_{type}.png")
plt.show()
return effect
def test_filter():
# Basic test for filtering
mod = RecursiveLS(endog, exog)
res = mod.filter()
# Test the RLS estimates against OLS estimates
mod_ols = OLS(endog, exog)
res_ols = mod_ols.fit()
assert_allclose(res.params, res_ols.params)
def test_endog():
# Tests for numpy input
mod = RecursiveLS(endog.values, exog.values)
res = mod.fit()
# Test the RLS estimates against OLS estimates
mod_ols = OLS(endog, exog)
res_ols = mod_ols.fit()
assert_allclose(res.params, res_ols.params)
# Tests for 1-dim exog
mod = RecursiveLS(endog, dta['m1'].values)
res = mod.fit()
# Test the RLS estimates against OLS estimates
mod_ols = OLS(endog, dta['m1'])
res_ols = mod_ols.fit()
assert_allclose(res.params, res_ols.params)
def test_filter():
# Basic test for filtering
mod = RecursiveLS(endog, exog)
res = mod.filter()
# Test the RLS estimates against OLS estimates
mod_ols = OLS(endog, exog)
res_ols = mod_ols.fit()
assert_allclose(res.params, res_ols.params)
def fit_linear_model(formula, data_dict):
"""
Creates a statsmodel OLS model for the R-style (patsy) formula given the
variables in data_dict (created with make_dict_for_regression).
Returns the statsmodels results object.
"""
y, x = dmatrices(formula, data=data_dict, return_type='dataframe')
model = OLS(y, x)
return model.fit()
def test_endog():
# Tests for numpy input
mod = RecursiveLS(endog.values, exog.values)
res = mod.fit()
# Test the RLS estimates against OLS estimates
mod_ols = OLS(endog, exog)
res_ols = mod_ols.fit()
assert_allclose(res.params, res_ols.params)
# Tests for 1-dim exog
mod = RecursiveLS(endog, dta['m1'].values)
res = mod.fit()
# Test the RLS estimates against OLS estimates
mod_ols = OLS(endog, dta['m1'])
res_ols = mod_ols.fit()
assert_allclose(res.params, res_ols.params)
def table_2_f_test():
output = {}
# f-test on whether all mean returns / alphas are the same
for prefix in ['part1_dollar_port#', 'part1_carry_timed_dollar_port#']:
for suffix in ['', ' #no peg']:
ret = get_port_ret_df(prefix, suffix)
ret.loc[:,'carry'] = data['carry' + suffix]
ret = ret.dropna()
y = ret.drop('carry', axis=1).unstack()
if prefix == 'part1_carry_timed_dollar_port#':
x = {}
for i in range(6):
x['meandiff#' + str(i)] = y * 0
x['meandiff#' + str(i)].loc[i:] = 1
x = pd.DataFrame(x)
# test on alpha
for i in range(6):
df = pd.DataFrame(0, index=ret.index, columns=range(6))
df[i] = ret['carry']
x.loc[:, 'carry#' + str(i)] = df.unstack()
model = OLS(y, x)
results = model.fit(cov_type='cluster', cov_kwds={'groups': y.index.get_level_values(1)})
rmat = np.identity(len(results.params))[1:6, :]
f_test = results.f_test(rmat)
label = prefix + suffix + ' f-test on alpha to carry'
output[label] = pd.Series({'f': f_test.fvalue[0][0], 'pvalue': f_test.pvalue, 'nobs': results.nobs})
# test on returns
x = {}
for i in range(6):
x['meandiff#' + str(i)] = y * 0
x['meandiff#' + str(i)].loc[i:] = 1
x = sm.add_constant(pd.DataFrame(x))
model = OLS(y, x)
results = model.fit(cov_type='cluster', cov_kwds={'groups': y.index.get_level_values(1)})
rmat = np.identity(len(results.params))[1:,:]
f_test = results.f_test(rmat)
label = prefix + suffix + ' f-test'
output[label] = pd.Series({'f': f_test.fvalue[0][0], 'pvalue': f_test.pvalue, 'nobs': results.nobs})
output = pd.DataFrame(output).T
return output
def setup_class(cls):
cls.cov_type = 'HAC'
kwds = {'maxlags': 2}
mod1 = GLM(endog, exog, family=families.Gaussian())
cls.res1 = mod1.fit(cov_type='HAC', cov_kwds=kwds)
mod2 = OLS(endog, exog)
cls.res2 = mod2.fit(cov_type='HAC', cov_kwds=kwds)
def model_m_L(data):
log_m, log_L = np.log10(data).dropna().as_matrix().T
X = add_constant(log_m)
model = OLS(log_L, X)
results = model.fit()
print(results.summary())
return results.params
def setup_class(cls):
cls.cov_type = 'HAC'
kwds={'maxlags':2}
mod1 = GLM(endog, exog, family=families.Gaussian())
cls.res1 = mod1.fit(cov_type='HAC', cov_kwds=kwds)
mod2 = OLS(endog, exog)
cls.res2 = mod2.fit(cov_type='HAC', cov_kwds=kwds)
def setup_class(cls):
cls.cov_type = 'HAC'
kwds={'kernel': sw.weights_uniform, 'maxlags': 2}
mod1 = GLM(endog, exog, family=families.Gaussian())
cls.res1 = mod1.fit(cov_type='HAC', cov_kwds=kwds)
# check kernel as string
mod2 = OLS(endog, exog)
kwds2 = {'kernel': 'uniform', 'maxlags': 2}
cls.res2 = mod2.fit(cov_type='HAC', cov_kwds=kwds)
def setup_class(cls):
cls.cov_type = 'HAC'
# check kernel specified as string
kwds = {'kernel': 'bartlett', 'maxlags': 2}
mod1 = GLM(endog, exog, family=families.Gaussian())
cls.res1 = mod1.fit(cov_type='HAC', cov_kwds=kwds)
mod2 = OLS(endog, exog)
kwds2 = {'maxlags': 2}
cls.res2 = mod2.fit(cov_type='HAC', cov_kwds=kwds2)
def q1_lab4(X, Y):
model = OLS(Y, X) # linear reg with c lines and k variables
result = model.fit() # fit the model
# Question 1.2:
# q_j = vector 8th len - the prob to vote per party in israel (if ***everybody would vote***)
potential_per_party = (X * result.params).sum(axis=0)
total_potential = potential_per_party.sum() # sum of sum
q_j_hat = potential_per_party / total_potential # ratio like we saw in cass
return q_j_hat
def test_cusum():
mod = RecursiveLS(endog, exog)
res = mod.fit()
# Test the cusum statistics against those from R (strucchange)
# These values are not even close to ours, to Statas, or to the alternate
# statsmodels values
# assert_allclose(res.cusum, results_R['cusum'])
# Test the cusum statistics against Stata (cusum6)
# Note: cusum6 excludes the first 3 elements due to OLS initialization
# whereas we exclude only the first 2. Also there are initialization
# differences (as seen above in the recursive residuals).
# Here we explicitly reverse engineer our cusum to match their to show the
# equivalence
d = res.nobs_diffuse
cusum = res.cusum * np.std(res.resid_recursive[d:], ddof=1)
cusum -= res.resid_recursive[d]
cusum /= np.std(res.resid_recursive[d + 1:], ddof=1)
cusum = cusum[1:]
assert_allclose(cusum,
results_stata.iloc[3:]['cusum'],
atol=1e-6,
rtol=1e-5)
# Test the cusum statistics against statsmodels estimates
mod_ols = OLS(endog, exog)
res_ols = mod_ols.fit()
desired_cusum = recursive_olsresiduals(res_ols)[-2][1:]
assert_allclose(res.cusum, desired_cusum, rtol=1e-6)
# Test the cusum bounds against Stata (cusum6)
# Again note that cusum6 excludes the first 3 elements, so we need to
# change the ddof and points.
actual_bounds = res._cusum_significance_bounds(alpha=0.05,
ddof=1,
points=np.arange(
d + 1, res.nobs))
desired_bounds = results_stata.iloc[3:][['lw', 'uw']].T
assert_allclose(actual_bounds, desired_bounds, rtol=1e-6)
# Test the cusum bounds against statsmodels
actual_bounds = res._cusum_significance_bounds(alpha=0.05,
ddof=0,
points=np.arange(
d, res.nobs))
desired_bounds = recursive_olsresiduals(res_ols)[-1]
assert_allclose(actual_bounds, desired_bounds)
# Test for invalid calls
assert_raises(ValueError,
res._cusum_squares_significance_bounds,
alpha=0.123)
def _get_start(self):
# Use OLS to get starting values for mean structure parameters
model = OLS(self.endog, self.exog)
result = model.fit()
m = self.exog_scale.shape[1] + self.exog_smooth.shape[1]
if self._has_noise:
m += self.exog_noise.shape[1]
return np.concatenate((result.params, np.zeros(m)))
def setup_class(cls):
cls.cov_type = 'hac-panel'
# time index is just made up to have a test case
groups = np.repeat(np.arange(5), 7)[:-1]
mod1 = GLM(endog.copy(), exog.copy(), family=families.Gaussian())
kwds = dict(groups=pd.Series(groups), # check for #3606
maxlags=2,
kernel=sw.weights_uniform,
use_correction='hac',
df_correction=False)
cls.res1 = mod1.fit(cov_type='hac-panel', cov_kwds=kwds)
mod2 = OLS(endog, exog)
cls.res2 = mod2.fit(cov_type='hac-panel', cov_kwds=kwds)
def setup_class(cls):
cls.cov_type = 'hac-groupsum'
# time index is just made up to have a test case
time = np.tile(np.arange(7), 5)[:-1]
mod1 = GLM(endog, exog, family=families.Gaussian())
kwds = dict(time=pd.Series(time), # check for #3606
maxlags=2,
use_correction='hac',
df_correction=False)
cls.res1 = mod1.fit(cov_type='hac-groupsum', cov_kwds=kwds)
cls.res1b = mod1.fit(cov_type='nw-groupsum', cov_kwds=kwds)
mod2 = OLS(endog, exog)
cls.res2 = mod2.fit(cov_type='hac-groupsum', cov_kwds=kwds)
def test_regularized_refit():
n = 100
p = 5
np.random.seed(3132)
xmat = np.random.normal(size=(n, p))
# covariates 0 and 2 matter
yvec = xmat[:, 0] + xmat[:, 2] + np.random.normal(size=n)
model1 = OLS(yvec, xmat)
result1 = model1.fit_regularized(alpha=2., L1_wt=0.5, refit=True)
model2 = OLS(yvec, xmat[:, [0, 2]])
result2 = model2.fit()
ii = [0, 2]
assert_allclose(result1.params[ii], result2.params)
assert_allclose(result1.bse[ii], result2.bse)
def setup_class(cls):
cls.cov_type = 'hac-panel'
# time index is just made up to have a test case
time = np.tile(np.arange(7), 5)[:-1]
mod1 = GLM(endog.copy(), exog.copy(), family=families.Gaussian())
kwds = dict(time=time,
maxlags=2,
kernel=sw.weights_uniform,
use_correction='hac',
df_correction=False)
cls.res1 = mod1.fit(cov_type='hac-panel', cov_kwds=kwds)
cls.res1b = mod1.fit(cov_type='nw-panel', cov_kwds=kwds)
mod2 = OLS(endog, exog)
cls.res2 = mod2.fit(cov_type='hac-panel', cov_kwds=kwds)
def test_cusum():
mod = RecursiveLS(endog, exog)
res = mod.fit()
# Test the cusum statistics against those from R (strucchange)
# These values are not even close to ours, to Statas, or to the alternate
# statsmodels values
# assert_allclose(res.cusum, results_R['cusum'])
# Test the cusum statistics against Stata (cusum6)
# Note: cusum6 excludes the first 3 elements due to OLS initialization
# whereas we exclude only the first 2. Also there are initialization
# differences (as seen above in the recursive residuals).
# Here we explicitly reverse engineer our cusum to match their to show the
# equivalence
d = res.nobs_diffuse
cusum = res.cusum * np.std(res.resid_recursive[d:], ddof=1)
cusum -= res.resid_recursive[d]
cusum /= np.std(res.resid_recursive[d+1:], ddof=1)
cusum = cusum[1:]
assert_allclose(cusum, results_stata.iloc[3:]['cusum'], atol=1e-6, rtol=1e-5)
# Test the cusum statistics against statsmodels estimates
mod_ols = OLS(endog, exog)
res_ols = mod_ols.fit()
desired_cusum = recursive_olsresiduals(res_ols)[-2][1:]
assert_allclose(res.cusum, desired_cusum, rtol=1e-6)
# Test the cusum bounds against Stata (cusum6)
# Again note that cusum6 excludes the first 3 elements, so we need to
# change the ddof and points.
actual_bounds = res._cusum_significance_bounds(
alpha=0.05, ddof=1, points=np.arange(d+1, res.nobs))
desired_bounds = results_stata.iloc[3:][['lw', 'uw']].T
assert_allclose(actual_bounds, desired_bounds, rtol=1e-6)
# Test the cusum bounds against statsmodels
actual_bounds = res._cusum_significance_bounds(
alpha=0.05, ddof=0, points=np.arange(d, res.nobs))
desired_bounds = recursive_olsresiduals(res_ols)[-1]
assert_allclose(actual_bounds, desired_bounds)
# Test for invalid calls
assert_raises(ValueError, res._cusum_squares_significance_bounds,
alpha=0.123)
def fit(self):
"""
Fits the model and provides regression results.
Returns
-------
Results : class
Empirical likelihood regression class
"""
exog_with = add_constant(self.exog, prepend=True)
restricted_model = OLS(self.endog, exog_with)
restricted_fit = restricted_model.fit()
restricted_el = restricted_fit.el_test(
np.array([0]), np.array([0]), ret_params=1)
params = np.squeeze(restricted_el[3])
beta_hat_llr = restricted_el[0]
llf = np.sum(np.log(restricted_el[2]))
return OriginResults(restricted_model, params, beta_hat_llr, llf)
def setup(self):
model = OLS(self.res1.model.endog, self.res1.model.exog)
# res_ols = self.res1.model.fit(cov_type='cluster',
res_ols = model.fit(
cov_type="cluster", cov_kwds=dict(groups=self.groups, use_correction=False, use_t=False, df_correction=True)
)
self.res3 = self.res1
self.res1 = res_ols
self.bse_robust = res_ols.bse
self.cov_robust = res_ols.cov_params()
cov1 = sw.cov_cluster(self.res1, self.groups, use_correction=False)
se1 = sw.se_cov(cov1)
self.bse_robust2 = se1
self.cov_robust2 = cov1
self.small = False
self.res2 = res2.results_cluster_large
self.skip_f = True
self.rtol = 1e-6
self.rtolh = 1e-10
def structure(self): # Make the chart label which predictor was removed
'''Reruns the regression by removing one of the predictor columns and
then plots the residuals versus the target'''
# The length of the transpose of the predictors array
# gives the number of predictors in the model
model_list = []
for i in range(1, len(self.predictors_array.transpose())):
temp_target = self.predictors_array[:, i].reshape([len(
self.predictors_array), 1])
temp_model = OLS(temp_target,
np.delete(self.predictors_array, i, 1))
temp_results = temp_model.fit()
model_list.append(temp_results)
del temp_target
del temp_model
for model in model_list:
plt.scatter(model.fittedvalues, model.resid)
plt.show()
def fit(self):
"""
Fits the model and provides regression results.
Returns
-------
Results: class
Empirical likelihood regression class
"""
exog_with = add_constant(self.exog, prepend=True)
unrestricted_fit = OLS(self.endog, self.exog).fit()
restricted_model = OLS(self.endog, exog_with)
restricted_fit = restricted_model.fit()
restricted_el = restricted_fit.el_test(
np.array([0]), np.array([0]), ret_params=1)
params = np.squeeze(restricted_el[3])
beta_hat_llr = restricted_el[0]
ls_params = np.hstack((0, unrestricted_fit.params))
ls_llr = restricted_fit.el_test(ls_params, np.arange(self.nvar + 1, dtype=int))[0]
return OriginResults(restricted_model, params, beta_hat_llr, ls_llr)
def setupClass(cls):
from .results.results_regression import Longley
data = longley.load()
data.exog = add_constant(data.exog, prepend=False)
res1 = OLS(data.endog, data.exog).fit()
res2 = Longley()
res2.wresid = res1.wresid # workaround hack
cls.res1 = res1
cls.res2 = res2
res_qr = OLS(data.endog, data.exog).fit(method="qr")
model_qr = OLS(data.endog, data.exog)
Q, R = np.linalg.qr(data.exog)
model_qr.exog_Q, model_qr.exog_R = Q, R
model_qr.normalized_cov_params = np.linalg.inv(np.dot(R.T, R))
model_qr.rank = np_matrix_rank(R)
res_qr2 = model_qr.fit(method="qr")
cls.res_qr = res_qr
cls.res_qr_manual = res_qr2
def test_resid_recursive():
mod = RecursiveLS(endog, exog)
res = mod.fit()
# Test the recursive residuals against those from R (strucchange)
assert_allclose(res.resid_recursive[2:10].T,
results_R.iloc[:8]['rec_resid'])
assert_allclose(res.resid_recursive[9:20].T,
results_R.iloc[7:18]['rec_resid'])
assert_allclose(res.resid_recursive[19:].T,
results_R.iloc[17:]['rec_resid'])
# Test the RLS estimates against those from Stata (cusum6)
assert_allclose(res.resid_recursive[3:],
results_stata.iloc[3:]['rr'], atol=1e-5, rtol=1e-5)
# Test the RLS estimates against statsmodels estimates
mod_ols = OLS(endog, exog)
res_ols = mod_ols.fit()
desired_resid_recursive = recursive_olsresiduals(res_ols)[4][2:]
assert_allclose(res.resid_recursive[2:], desired_resid_recursive)
def test_estimates():
mod = RecursiveLS(endog, exog)
res = mod.fit()
# Test for start_params
assert_equal(mod.start_params, 0)
# Test the RLS coefficient estimates against those from R (quantreg)
# Due to initialization issues, we get more agreement as we get
# farther from the initial values.
assert_allclose(res.recursive_coefficients.filtered[:, 2:10].T,
results_R.iloc[:8][['beta1', 'beta2']], rtol=1e-5)
assert_allclose(res.recursive_coefficients.filtered[:, 9:20].T,
results_R.iloc[7:18][['beta1', 'beta2']])
assert_allclose(res.recursive_coefficients.filtered[:, 19:].T,
results_R.iloc[17:][['beta1', 'beta2']])
# Test the RLS estimates against OLS estimates
mod_ols = OLS(endog, exog)
res_ols = mod_ols.fit()
assert_allclose(res.params, res_ols.params)
def test_single_partition():
# tests that the results make sense if we have a single partition
np.random.seed(435265)
N = 200
p = 10
m = 1
beta = np.random.normal(size=p)
beta = beta * np.random.randint(0, 2, p)
X = np.random.normal(size=(N, p))
y = X.dot(beta) + np.random.normal(size=N)
# test regularized OLS v. naive
db_mod = DistributedModel(m)
fitOLSdb = db_mod.fit(_data_gen(y, X, m), fit_kwds={"alpha": 0})
nv_mod = DistributedModel(m, estimation_method=_est_regularized_naive,
join_method=_join_naive)
fitOLSnv = nv_mod.fit(_data_gen(y, X, m), fit_kwds={"alpha": 0})
ols_mod = OLS(y, X)
fitOLS = ols_mod.fit(alpha=0)
assert_allclose(fitOLSdb.params, fitOLS.params)
assert_allclose(fitOLSnv.params, fitOLS.params)
# test regularized
nv_mod = DistributedModel(m, estimation_method=_est_regularized_naive,
join_method=_join_naive)
fitOLSnv = nv_mod.fit(_data_gen(y, X, m), fit_kwds={"alpha": 0.1})
ols_mod = OLS(y, X)
fitOLS = ols_mod.fit_regularized(alpha=0.1)
assert_allclose(fitOLSnv.params, fitOLS.params)
def test_resid_recursive():
mod = RecursiveLS(endog, exog)
res = mod.fit()
# Test the recursive residuals against those from R (strucchange)
# Due to initialization issues, we get more agreement as we get
# farther from the initial values.
assert_allclose(res.resid_recursive[2:10].T,
results_R.iloc[:8]['rec_resid'], atol=1e-2, rtol=1e-3)
assert_allclose(res.resid_recursive[9:20].T,
results_R.iloc[7:18]['rec_resid'], atol=1e-3, rtol=1e-4)
assert_allclose(res.resid_recursive[19:].T,
results_R.iloc[17:]['rec_resid'], atol=1e-4, rtol=1e-4)
# Test the RLS estimates against those from Stata (cusum6)
assert_allclose(res.resid_recursive[3:],
results_stata.iloc[3:]['rr'], atol=1e-3)
# Test the RLS estimates against statsmodels estimates
mod_ols = OLS(endog, exog)
res_ols = mod_ols.fit()
desired_resid_recursive = recursive_olsresiduals(res_ols)[4][2:]
assert_allclose(res.resid_recursive[2:], desired_resid_recursive,
atol=1e-4, rtol=1e-4)
#using GMM and IV2SLS classes
#----------------------------
mod = IVGMM(endog, exog, instrument, nmoms=instrument.shape[1])
res = mod.fit()
modgmmols = IVGMM(endog, exog, exog, nmoms=exog.shape[1])
resgmmols = modgmmols.fit()
#the next is the same as IV2SLS, (Z'Z)^{-1} as weighting matrix
modgmmiv = IVGMM(endog, exog, instrument, nmoms=instrument.shape[1]) #same as mod
resgmmiv = modgmmiv.fitgmm(np.ones(exog.shape[1], float),
weights=np.linalg.inv(np.dot(instrument.T, instrument)))
modls = IV2SLS(endog, exog, instrument)
resls = modls.fit()
modols = OLS(endog, exog)
resols = modols.fit()
print '\nIV case'
print 'params'
print 'IV2SLS', resls.params
print 'GMMIV ', resgmmiv # .params
print 'GMM ', res.params
print 'diff ', res.params - resls.params
print 'OLS ', resols.params
print 'GMMOLS', resgmmols.params
print '\nbse'
print 'IV2SLS', resls.bse
print 'GMM ', mod.bse #bse currently only attached to model not results
print 'diff ', mod.bse - resls.bse
print '%-diff', resls.bse / mod.bse * 100 - 100
nobs, k_vars = 200, 1
x = np.random.uniform(-2, 2, size=(nobs, k_vars))
x.sort()
order = 3
exog = x ** np.arange(order + 1)
beta = np.array([1, 1, 0.1, 0.0])[: order + 1] # 1. / np.arange(1, order + 2)
y_true = np.dot(exog, beta)
y = y_true + sig_e * np.random.normal(size=nobs)
endog = y
print "DGP"
print "nobs=%d, beta=%r, sig_e=%3.1f" % (nobs, beta, sig_e)
mod_ols = OLS(endog, exog[:, :2])
res_ols = mod_ols.fit()
#'cv_ls'[1000, 0.5][0.01, 0.45]
tst = smke.TestFForm(
endog,
exog[:, :2],
bw=[0.01, 0.45],
var_type="cc",
fform=lambda x, p: mod_ols.predict(p, x),
estimator=lambda y, x: OLS(y, x).fit().params,
nboot=1000,
)
print "bw", tst.bw
print "tst.test_stat", tst.test_stat
print tst.sig
print "tst.boots_results mean, min, max", (
def test_ols():
# More comprehensive tests against OLS estimates
mod = RecursiveLS(endog, dta['m1'])
res = mod.fit()
mod_ols = OLS(endog, dta['m1'])
res_ols = mod_ols.fit()
# Regression coefficients, standard errors, and estimated scale
assert_allclose(res.params, res_ols.params)
assert_allclose(res.bse, res_ols.bse)
# Note: scale here is computed according to Harvey, 1989, 4.2.5, and is
# the called the ML estimator and sometimes (e.g. later in section 5)
# denoted \tilde \sigma_*^2
assert_allclose(res.filter_results.obs_cov[0, 0], res_ols.scale)
# OLS residuals are equivalent to smoothed forecast errors
# (the latter are defined as e_t|T by Harvey, 1989, 5.4.5)
# (this follows since the smoothed state simply contains the
# full-information estimates of the regression coefficients)
actual = (mod.endog[:, 0] -
np.sum(mod['design', 0, :, :] * res.smoothed_state, axis=0))
assert_allclose(actual, res_ols.resid)
# Given the estimate of scale as `sum(v_t^2 / f_t) / (T - d)` (see
# Harvey, 1989, 4.2.5 on p. 183), then llf_recursive is equivalent to the
# full OLS loglikelihood (i.e. without the scale concentrated out).
desired = mod_ols.loglike(res_ols.params, scale=res_ols.scale)
assert_allclose(res.llf_recursive, desired)
# Alternatively, we can constrcut the concentrated OLS loglikelihood
# by computing the scale term with `nobs` in the denominator rather than
# `nobs - d`.
scale_alternative = np.sum((
res.standardized_forecasts_error[0, 1:] *
res.filter_results.obs_cov[0, 0]**0.5)**2) / mod.nobs
llf_alternative = np.log(norm.pdf(res.resid_recursive, loc=0,
scale=scale_alternative**0.5)).sum()
assert_allclose(llf_alternative, res_ols.llf)
# Prediction
actual = res.forecast(10, design=np.ones((1, 1, 10)))
assert_allclose(actual, res_ols.predict(np.ones((10, 1))))
# Sums of squares, R^2
assert_allclose(res.ess, res_ols.ess)
assert_allclose(res.ssr, res_ols.ssr)
assert_allclose(res.centered_tss, res_ols.centered_tss)
assert_allclose(res.uncentered_tss, res_ols.uncentered_tss)
assert_allclose(res.rsquared, res_ols.rsquared)
# Mean squares
assert_allclose(res.mse_model, res_ols.mse_model)
assert_allclose(res.mse_resid, res_ols.mse_resid)
assert_allclose(res.mse_total, res_ols.mse_total)
# Hypothesis tests
actual = res.t_test('m1 = 0')
desired = res_ols.t_test('m1 = 0')
assert_allclose(actual.statistic, desired.statistic)
assert_allclose(actual.pvalue, desired.pvalue, atol=1e-15)
actual = res.f_test('m1 = 0')
desired = res_ols.f_test('m1 = 0')
assert_allclose(actual.statistic, desired.statistic)
assert_allclose(actual.pvalue, desired.pvalue, atol=1e-15)
# Information criteria
# Note: the llf and llf_obs given in the results are based on the Kalman
# filter and so the ic given in results will not be identical to the
# OLS versions. Additionally, llf_recursive is comparable to the
# non-concentrated llf, and not the concentrated llf that is by default
# used in OLS. Compute new ic based on llf_alternative to compare.
actual_aic = aic(llf_alternative, res.nobs_effective, res.df_model)
assert_allclose(actual_aic, res_ols.aic)
actual_bic = bic(llf_alternative, res.nobs_effective, res.df_model)
assert_allclose(actual_bic, res_ols.bic)
def fit(self):
"""estimate the model and compute the Anova table
Returns
-------
AnovaResults instance
"""
y = self.data[self.depvar].values
# Construct OLS endog and exog from string using patsy
within = ['C(%s, Sum)' % i for i in self.within]
subject = 'C(%s, Sum)' % self.subject
factors = within + [subject]
x = patsy.dmatrix('*'.join(factors), data=self.data)
term_slices = x.design_info.term_name_slices
for key in term_slices:
ind = np.array([False]*x.shape[1])
ind[term_slices[key]] = True
term_slices[key] = np.array(ind)
term_exclude = [':'.join(factors)]
ind = _not_slice(term_slices, term_exclude, x.shape[1])
x = x[:, ind]
# Fit OLS
model = OLS(y, x)
results = model.fit()
if model.rank < x.shape[1]:
raise ValueError('Independent variables are collinear.')
for i in term_exclude:
term_slices.pop(i)
for key in term_slices:
term_slices[key] = term_slices[key][ind]
params = results.params
df_resid = results.df_resid
ssr = results.ssr
anova_table = pd.DataFrame(
{'F Value': [], 'Num DF': [], 'Den DF': [], 'Pr > F': []})
for key in term_slices:
if self.subject not in key and key != 'Intercept':
# Independen variables are orthogonal
ssr1, df_resid1 = _ssr_reduced_model(
y, x, term_slices, params, [key])
df1 = df_resid1 - df_resid
msm = (ssr1 - ssr) / df1
if (key == ':'.join(factors[:-1]) or
(key + ':' + subject not in term_slices)):
mse = ssr / df_resid
df2 = df_resid
else:
ssr1, df_resid1 = _ssr_reduced_model(
y, x, term_slices, params,
[key + ':' + subject])
df2 = df_resid1 - df_resid
mse = (ssr1 - ssr) / df2
F = msm / mse
p = stats.f.sf(F, df1, df2)
term = key.replace('C(', '').replace(', Sum)', '')
anova_table.loc[term, 'F Value'] = F
anova_table.loc[term, 'Num DF'] = df1
anova_table.loc[term, 'Den DF'] = df2
anova_table.loc[term, 'Pr > F'] = p
return AnovaResults(anova_table.iloc[:, [1, 2, 0, 3]])
# 初始化数据集
data = []
# 查询所有合约
cursor.execute("select distinct vari,deli from contract_daily where deli between '1401' and '1712'")
for vari,deli in cursor.fetchall():
# 查询合约结算价
cursor.execute("select settle from contract_daily where vari=%s and deli=%s order by day asc", (vari,deli))
# 标准化
scaler = MinMaxScaler()
settle = scaler.fit_transform(cursor.fetchall())
settle = [row[0] for row in settle]
# 估计一阶差分方程的系数
ols = OLS(settle[1:], [[1.,x] for x in settle[:-1]])
result = ols.fit()
data.append([vari, deli, result.params[0], result.params[1], result.rsquared])
# 生成DataFrame对象
df = pd.DataFrame(data, columns=['vari','deli','beta0','beta1','R2'])
# 对beta0, beta1, R2做Z标准化
# 存入文件
df.to_csv('ols.csv', index=False)
# 关闭数据库
cursor.close()
conn.close()
print('\n\n')
tt = res_hac4.t_test(np.eye(len(res_hac4.params)))
print(tt.summary())
print('\n\n')
print(tt.summary_frame())
print(vars(res_hac4.f_test(np.eye(len(res_hac4.params))[:-1])))
print(vars(res_hac4.wald_test(np.eye(len(res_hac4.params))[:-1], use_f=True)))
print(vars(res_hac4.wald_test(np.eye(len(res_hac4.params))[:-1], use_f=False)))
# new cov_type can be set in fit method of model
mod_olsg = OLS(g_inv, exogg)
res_hac4b = mod_olsg.fit(cov_type='HAC',
cov_kwds=dict(maxlags=4, use_correction=True))
print(res_hac4b.summary())
res_hc1b = mod_olsg.fit(cov_type='HC1')
print(res_hc1b.summary())
# force t-distribution
res_hc1c = mod_olsg.fit(cov_type='HC1', cov_kwds={'use_t':True})
print(res_hc1c.summary())
# force t-distribution
decade = (d2['year'][1:] // 10).astype(int) # just make up a group variable
res_clu = mod_olsg.fit(cov_type='cluster',
cov_kwds={'groups':decade, 'use_t':True})
print(res_clu.summary())
def table_2_t_test():
output = {}
# t-test on return diffs for dollar ports, carry-timed dollar ports, and its alpha to carry
for prefix in ['part1_dollar_port#', 'part1_carry_timed_dollar_port#']:
for suffix in ['', ' #no peg']:
ret = get_port_ret_df(prefix, suffix)
ret.loc[:,'carry'] = data['carry' + suffix]
ret = ret.dropna()
for i in range(5):
y = ret[i + 1] - ret[i]
if prefix == 'part1_carry_timed_dollar_port#':
# t test on alpha diff
x = sm.add_constant(ret['carry'])
model = OLS(y, x)
results = model.fit()
label = 'part1_carry_timed_dollar_port_alpha_to_carry#' + suffix + str(i + 1) + '-' + str(i)
output[label] = pd.Series({'annualized ret diff': results.params['const'] * 12,
't': results.tvalues['const'],
'nobs': results.nobs})
# t test on return diff
x = np.ones(len(y))
model = OLS(y, x)
results = model.fit()
label = prefix + suffix + str(i + 1) + '-' + str(i)
output[label] = pd.Series({'annualized ret diff': results.params['const'] * 12,
't': results.tvalues['const'],
'nobs': results.nobs})
output = pd.DataFrame(output).T
return output