Python tools.add_constant函数代码示例

def get_griliches76_data():
    import os
    curdir = os.path.split(__file__)[0]
    path = os.path.join(curdir, 'griliches76.dta')
    griliches76_data = iolib.genfromdta(path, missing_flt=np.NaN, pandas=True)

    # create year dummies
    years = griliches76_data['year'].unique()
    N = griliches76_data.shape[0]

    for yr in years:
        griliches76_data['D_%i' %yr] = np.zeros(N)
        for i in range(N):
            if griliches76_data.ix[i, 'year'] == yr:
                griliches76_data.ix[i, 'D_%i' %yr] = 1
            else:
                pass

    griliches76_data['const'] = 1

    X = add_constant(griliches76_data[['s', 'iq', 'expr', 'tenure', 'rns',
                                       'smsa', 'D_67', 'D_68', 'D_69', 'D_70',
                                       'D_71', 'D_73']],
                                       prepend=True)  # for R comparison
                                       #prepend=False)  # for Stata comparison

    Z = add_constant(griliches76_data[['expr', 'tenure', 'rns', 'smsa', \
                                       'D_67', 'D_68', 'D_69', 'D_70', 'D_71',
                                       'D_73', 'med', 'kww', 'age', 'mrt']])
    Y = griliches76_data['lw']

    return Y, X, Z

    def __init__(self):
        d = macrodata.load_pandas().data
        # growth rates
        d["gs_l_realinv"] = 400 * np.log(d["realinv"]).diff()
        d["gs_l_realgdp"] = 400 * np.log(d["realgdp"]).diff()
        d["lint"] = d["realint"].shift(1)
        d["tbilrate"] = d["tbilrate"].shift(1)

        d = d.dropna()
        self.d = d
        endogg = d["gs_l_realinv"]
        exogg = add_constant(d[["gs_l_realgdp", "lint"]])
        exogg2 = add_constant(d[["gs_l_realgdp", "tbilrate"]])
        exogg3 = add_constant(d[["gs_l_realgdp"]])

        res_ols = OLS(endogg, exogg).fit()
        res_ols2 = OLS(endogg, exogg2).fit()

        res_ols3 = OLS(endogg, exogg3).fit()

        self.res = res_ols
        self.res2 = res_ols2
        self.res3 = res_ols3
        self.endog = self.res.model.endog
        self.exog = self.res.model.exog

    def setup_class(cls):
        d = macrodata.load_pandas().data
        #growth rates
        d['gs_l_realinv'] = 400 * np.log(d['realinv']).diff()
        d['gs_l_realgdp'] = 400 * np.log(d['realgdp']).diff()
        d['lint'] = d['realint'].shift(1)
        d['tbilrate'] = d['tbilrate'].shift(1)

        d = d.dropna()
        cls.d = d
        endogg = d['gs_l_realinv']
        exogg = add_constant(d[['gs_l_realgdp', 'lint']])
        exogg2 = add_constant(d[['gs_l_realgdp', 'tbilrate']])
        exogg3 = add_constant(d[['gs_l_realgdp']])

        res_ols = OLS(endogg, exogg).fit()
        res_ols2 = OLS(endogg, exogg2).fit()

        res_ols3 = OLS(endogg, exogg3).fit()

        cls.res = res_ols
        cls.res2 = res_ols2
        cls.res3 = res_ols3
        cls.endog = cls.res.model.endog
        cls.exog = cls.res.model.exog

    def test_add_constant_has_constant2d(self):
        x = np.asarray([[1, 1, 1, 1], [1, 2, 3, 4.0]]).T
        y = tools.add_constant(x, has_constant="skip")
        assert_equal(x, y)

        assert_raises(ValueError, tools.add_constant, x, has_constant="raise")

        assert_equal(tools.add_constant(x, has_constant="add"), np.column_stack((np.ones(4), x)))

    def test_add_constant_has_constant1d(self):
        x = np.ones(5)
        x = tools.add_constant(x, has_constant="skip")
        assert_equal(x, np.ones(5))

        assert_raises(ValueError, tools.add_constant, x, has_constant="raise")

        assert_equal(tools.add_constant(x, has_constant="add"), np.ones((5, 2)))

def coint(y1, y2, regression="c"):
    """
    This is a simple cointegration test. Uses unit-root test on residuals to
    test for cointegrated relationship

    See Hamilton (1994) 19.2

    Parameters
    ----------
    y1 : array_like, 1d
        first element in cointegrating vector
    y2 : array_like
        remaining elements in cointegrating vector
    c : str {'c'}
        Included in regression
        * 'c' : Constant

    Returns
    -------
    coint_t : float
        t-statistic of unit-root test on residuals
    pvalue : float
        MacKinnon's approximate p-value based on MacKinnon (1994)
    crit_value : dict
        Critical values for the test statistic at the 1 %, 5 %, and 10 %
        levels.

    Notes
    -----
    The Null hypothesis is that there is no cointegration, the alternative
    hypothesis is that there is cointegrating relationship. If the pvalue is
    small, below a critical size, then we can reject the hypothesis that there
    is no cointegrating relationship.

    P-values are obtained through regression surface approximation from
    MacKinnon 1994.

    References
    ----------
    MacKinnon, J.G. 1994.  "Approximate asymptotic distribution functions for
        unit-root and cointegration tests.  `Journal of Business and Economic
        Statistics` 12, 167-76.

    """
    regression = regression.lower()
    if regression not in ['c', 'nc', 'ct', 'ctt']:
        raise ValueError("regression option %s not understood") % regression
    y1 = np.asarray(y1)
    y2 = np.asarray(y2)
    if regression == 'c':
        y2 = add_constant(y2, prepend=False)
    st1_resid = OLS(y1, y2).fit().resid  # stage one residuals
    lgresid_cons = add_constant(st1_resid[0:-1], prepend=False)
    uroot_reg = OLS(st1_resid[1:], lgresid_cons).fit()
    coint_t = (uroot_reg.params[0] - 1) / uroot_reg.bse[0]
    pvalue = mackinnonp(coint_t, regression="c", N=2, lags=None)
    crit_value = mackinnoncrit(N=1, regression="c", nobs=len(y1))
    return coint_t, pvalue, crit_value

def notyet_atst():
    d = macrodata.load().data

    realinv = d['realinv']
    realgdp = d['realgdp']
    realint = d['realint']
    endog = realinv
    exog = add_constant(np.c_[realgdp, realint],prepend=True)
    res_ols1 = OLS(endog, exog).fit()

    #growth rates
    gs_l_realinv = 400 * np.diff(np.log(d['realinv']))
    gs_l_realgdp = 400 * np.diff(np.log(d['realgdp']))
    lint = d['realint'][:-1]
    tbilrate = d['tbilrate'][:-1]

    endogg = gs_l_realinv
    exogg = add_constant(np.c_[gs_l_realgdp, lint], prepend=True)
    exogg2 = add_constant(np.c_[gs_l_realgdp, tbilrate], prepend=True)

    res_ols = OLS(endogg, exogg).fit()
    res_ols2 = OLS(endogg, exogg2).fit()

    #the following were done accidentally with res_ols1 in R,
    #with original Greene data

    params = np.array([-272.3986041341653, 0.1779455206941112,
                       0.2149432424658157])
    cov_hac_4 = np.array([1321.569466333051, -0.2318836566017612,
                37.01280466875694, -0.2318836566017614, 4.602339488102263e-05,
                -0.0104687835998635, 37.012804668757, -0.0104687835998635,
                21.16037144168061]).reshape(3,3, order='F')
    cov_hac_10 = np.array([2027.356101193361, -0.3507514463299015,
        54.81079621448568, -0.350751446329901, 6.953380432635583e-05,
        -0.01268990195095196, 54.81079621448564, -0.01268990195095195,
        22.92512402151113]).reshape(3,3, order='F')

    #goldfeld-quandt
    het_gq_greater = dict(statistic=13.20512768685082, df1=99, df2=98,
                          pvalue=1.246141976112324e-30, distr='f')
    het_gq_less = dict(statistic=13.20512768685082, df1=99, df2=98, pvalue=1.)
    het_gq_2sided = dict(statistic=13.20512768685082, df1=99, df2=98,
                          pvalue=1.246141976112324e-30, distr='f')

    #goldfeld-quandt, fraction = 0.5
    het_gq_greater_2 = dict(statistic=87.1328934692124, df1=48, df2=47,
                          pvalue=2.154956842194898e-33, distr='f')

    gq = smsdia.het_goldfeldquandt(endog, exog, split=0.5)
    compare_t_est(gq, het_gq_greater, decimal=(13, 14))
    assert_equal(gq[-1], 'increasing')


    harvey_collier = dict(stat=2.28042114041313, df=199,
                          pvalue=0.02364236161988260, distr='t')
    #hc = harvtest(fm, order.by=ggdp , data = list())
    harvey_collier_2 = dict(stat=0.7516918462158783, df=199,
                          pvalue=0.4531244858006127, distr='t')

    def test_add_constant_has_constant1d(self):
        x = np.ones(5)
        x = tools.add_constant(x, has_constant='skip')
        assert_equal(x, np.ones((5,1)))

        assert_raises(ValueError, tools.add_constant, x, has_constant='raise')

        assert_equal(tools.add_constant(x, has_constant='add'),
                     np.ones((5, 2)))

    def test_add_constant_has_constant2d(self):
        x = np.asarray([[1,1,1,1],[1,2,3,4.]]).T
        y = tools.add_constant(x, has_constant='skip')
        assert_equal(x, y)

        with pytest.raises(ValueError):
            tools.add_constant(x, has_constant='raise')

        assert_equal(tools.add_constant(x, has_constant='add'),
                     np.column_stack((np.ones(4), x)))

def test_wls_tss():
    y = np.array([22, 22, 22, 23, 23, 23])
    X = [[1, 0], [1, 0], [1, 1], [0, 1], [0, 1], [0, 1]]

    ols_mod = OLS(y, add_constant(X, prepend=False)).fit()

    yw = np.array([22, 22, 23.])
    Xw = [[1,0],[1,1],[0,1]]
    w = np.array([2, 1, 3.])

    wls_mod = WLS(yw, add_constant(Xw, prepend=False), weights=w).fit()
    assert_equal(ols_mod.centered_tss, wls_mod.centered_tss)

def test_poisson_residuals():
    nobs, k_exog = 100, 5
    np.random.seed(987125)
    x = np.random.randn(nobs, k_exog - 1)
    x = add_constant(x)

    y_true = x.sum(1) / 2
    y = y_true + 2 * np.random.randn(nobs)
    exposure = 1 + np.arange(nobs) // 4

    yp = np.random.poisson(np.exp(y_true) * exposure)
    yp[10:15] += 10

    fam = sm.families.Poisson()
    mod_poi_e = GLM(yp, x, family=fam, exposure=exposure)
    res_poi_e = mod_poi_e.fit()

    mod_poi_w = GLM(yp / exposure, x, family=fam, var_weights=exposure)
    res_poi_w = mod_poi_w.fit()

    assert_allclose(res_poi_e.resid_response / exposure,
                    res_poi_w.resid_response)
    assert_allclose(res_poi_e.resid_pearson, res_poi_w.resid_pearson)
    assert_allclose(res_poi_e.resid_deviance, res_poi_w.resid_deviance)
    with warnings.catch_warnings():
        warnings.simplefilter("ignore", category=FutureWarning)
        assert_allclose(res_poi_e.resid_anscombe, res_poi_w.resid_anscombe)
    assert_allclose(res_poi_e.resid_anscombe_unscaled,
                    res_poi_w.resid_anscombe)

def calculateStat(y,x):
    cointegration = coint(y,x)
    signal = (cointegration[1] < 0.05).__int__()
    x= add_constant(x)
    reg = OLS(y, x).fit()
    # returns bo,b1,rmse
    return (signal, float(reg.params[0]),float(reg.params[1]), float(math.sqrt(reg.mse_resid)))

def plot_ccpr(results, exog_idx, ax=None):
    """Plot CCPR against one regressor.

    Generates a CCPR (component and component-plus-residual) plot.

    Parameters
    ----------
    results : result instance
        A regression results instance.
    exog_idx : int or string
        Exogenous, explanatory variable. If string is given, it should
        be the variable name that you want to use, and you can use arbitrary
        translations as with a formula.
    ax : Matplotlib AxesSubplot instance, optional
        If given, it is used to plot in instead of a new figure being
        created.

    Returns
    -------
    fig : Matplotlib figure instance
        If `ax` is None, the created figure.  Otherwise the figure to which
        `ax` is connected.

    See Also
    --------
    plot_ccpr_grid : Creates CCPR plot for multiple regressors in a plot grid.

    Notes
    -----
    The CCPR plot provides a way to judge the effect of one regressor on the
    response variable by taking into account the effects of the other
    independent variables. The partial residuals plot is defined as
    Residuals + B_i*X_i versus X_i. The component adds the B_i*X_i versus
    X_i to show where the fitted line would lie. Care should be taken if X_i
    is highly correlated with any of the other independent variables. If this
    is the case, the variance evident in the plot will be an underestimate of
    the true variance.

    References
    ----------
    http://www.itl.nist.gov/div898/software/dataplot/refman1/auxillar/ccpr.htm
    """
    fig, ax = utils.create_mpl_ax(ax)

    exog_name, exog_idx = utils.maybe_name_or_idx(exog_idx, results.model)

    x1 = results.model.exog[:, exog_idx]
    #namestr = ' for %s' % self.name if self.name else ''
    x1beta = x1*results._results.params[exog_idx]
    ax.plot(x1, x1beta + results.resid, 'o')
    from statsmodels.tools.tools import add_constant
    mod = OLS(x1beta, add_constant(x1)).fit()
    params = mod.params
    fig = abline_plot(*params, **dict(ax=ax))
    #ax.plot(x1, x1beta, '-')
    ax.set_title('Component and component plus residual plot')
    ax.set_ylabel("Residual + %s*beta_%d" % (exog_name, exog_idx))
    ax.set_xlabel("%s" % exog_name)

    return fig

 def setupClass(cls):
     data = longley.load()
     data.exog = add_constant(data.exog, prepend=False)
     ols_res = OLS(data.endog, data.exog).fit()
     gls_res = GLS(data.endog, data.exog).fit()
     cls.res1 = gls_res
     cls.res2 = ols_res

def test_hac_simple():

    from statsmodels.datasets import macrodata
    d2 = macrodata.load().data
    g_gdp = 400*np.diff(np.log(d2['realgdp']))
    g_inv = 400*np.diff(np.log(d2['realinv']))
    exogg = add_constant(np.c_[g_gdp, d2['realint'][:-1]],prepend=True)
    res_olsg = OLS(g_inv, exogg).fit()



    #> NeweyWest(fm, lag = 4, prewhite = FALSE, sandwich = TRUE, verbose=TRUE, adjust=TRUE)
    #Lag truncation parameter chosen: 4
    #                     (Intercept)                   ggdp                  lint
    cov1_r = [[  1.40643899878678802, -0.3180328707083329709, -0.060621111216488610],
             [ -0.31803287070833292,  0.1097308348999818661,  0.000395311760301478],
             [ -0.06062111121648865,  0.0003953117603014895,  0.087511528912470993]]

    #> NeweyWest(fm, lag = 4, prewhite = FALSE, sandwich = TRUE, verbose=TRUE, adjust=FALSE)
    #Lag truncation parameter chosen: 4
    #                    (Intercept)                  ggdp                  lint
    cov2_r = [[ 1.3855512908840137, -0.313309610252268500, -0.059720797683570477],
             [ -0.3133096102522685,  0.108101169035130618,  0.000389440793564339],
             [ -0.0597207976835705,  0.000389440793564336,  0.086211852740503622]]

    cov1, se1 = sw.cov_hac_simple(res_olsg, nlags=4, use_correction=True)
    cov2, se2 = sw.cov_hac_simple(res_olsg, nlags=4, use_correction=False)
    assert_almost_equal(cov1, cov1_r, decimal=14)
    assert_almost_equal(cov2, cov2_r, decimal=14)