Source code for statsmodels.graphics.gofplots

from statsmodels.compat.python import lzip

import numpy as np
from scipy import stats

from statsmodels.regression.linear_model import OLS
from statsmodels.tools.tools import add_constant
from statsmodels.tools.decorators import cache_readonly
from statsmodels.distributions import ECDF
from . import utils

__all__ = ['qqplot', 'qqplot_2samples', 'qqline', 'ProbPlot']


[docs]class ProbPlot(object): """ Q-Q and P-P Probability Plots Can take arguments specifying the parameters for dist or fit them automatically. (See fit under kwargs.) Parameters ---------- data : array_like 1d data array dist : A scipy.stats or statsmodels distribution Compare x against dist. The default is scipy.stats.distributions.norm (a standard normal). distargs : tuple A tuple of arguments passed to dist to specify it fully so dist.ppf may be called. distargs must not contain loc or scale. These values must be passed using the loc or scale inputs. a : float Offset for the plotting position of an expected order statistic, for example. The plotting positions are given by (i - a)/(nobs - 2*a + 1) for i in range(0,nobs+1) loc : float Location parameter for dist scale : float Scale parameter for dist fit : bool If fit is false, loc, scale, and distargs are passed to the distribution. If fit is True then the parameters for dist are fit automatically using dist.fit. The quantiles are formed from the standardized data, after subtracting the fitted loc and dividing by the fitted scale. See Also -------- scipy.stats.probplot Notes ----- 1) Depends on matplotlib. 2) If `fit` is True then the parameters are fit using the distribution's `fit()` method. 3) The call signatures for the `qqplot`, `ppplot`, and `probplot` methods are similar, so examples 1 through 4 apply to all three methods. 4) The three plotting methods are summarized below: ppplot : Probability-Probability plot Compares the sample and theoretical probabilities (percentiles). qqplot : Quantile-Quantile plot Compares the sample and theoretical quantiles probplot : Probability plot Same as a Q-Q plot, however probabilities are shown in the scale of the theoretical distribution (x-axis) and the y-axis contains unscaled quantiles of the sample data. Examples -------- The first example shows a Q-Q plot for regression residuals >>> # example 1 >>> import statsmodels.api as sm >>> from matplotlib import pyplot as plt >>> data = sm.datasets.longley.load(as_pandas=False) >>> data.exog = sm.add_constant(data.exog) >>> model = sm.OLS(data.endog, data.exog) >>> mod_fit = model.fit() >>> res = mod_fit.resid # residuals >>> probplot = sm.ProbPlot(res) >>> fig = probplot.qqplot() >>> h = plt.title('Ex. 1 - qqplot - residuals of OLS fit') >>> plt.show() qqplot of the residuals against quantiles of t-distribution with 4 degrees of freedom: >>> # example 2 >>> import scipy.stats as stats >>> probplot = sm.ProbPlot(res, stats.t, distargs=(4,)) >>> fig = probplot.qqplot() >>> h = plt.title('Ex. 2 - qqplot - residuals against quantiles of t-dist') >>> plt.show() qqplot against same as above, but with mean 3 and std 10: >>> # example 3 >>> probplot = sm.ProbPlot(res, stats.t, distargs=(4,), loc=3, scale=10) >>> fig = probplot.qqplot() >>> h = plt.title('Ex. 3 - qqplot - resids vs quantiles of t-dist') >>> plt.show() Automatically determine parameters for t distribution including the loc and scale: >>> # example 4 >>> probplot = sm.ProbPlot(res, stats.t, fit=True) >>> fig = probplot.qqplot(line='45') >>> h = plt.title('Ex. 4 - qqplot - resids vs. quantiles of fitted t-dist') >>> plt.show() A second `ProbPlot` object can be used to compare two separate sample sets by using the `other` kwarg in the `qqplot` and `ppplot` methods. >>> # example 5 >>> import numpy as np >>> x = np.random.normal(loc=8.25, scale=2.75, size=37) >>> y = np.random.normal(loc=8.75, scale=3.25, size=37) >>> pp_x = sm.ProbPlot(x, fit=True) >>> pp_y = sm.ProbPlot(y, fit=True) >>> fig = pp_x.qqplot(line='45', other=pp_y) >>> h = plt.title('Ex. 5 - qqplot - compare two sample sets') >>> plt.show() In qqplot, sample size of `other` can be equal or larger than the first. In case of larger, size of `other` samples will be reduced to match the size of the first by interpolation >>> # example 6 >>> x = np.random.normal(loc=8.25, scale=2.75, size=37) >>> y = np.random.normal(loc=8.75, scale=3.25, size=57) >>> pp_x = sm.ProbPlot(x, fit=True) >>> pp_y = sm.ProbPlot(y, fit=True) >>> fig = pp_x.qqplot(line='45', other=pp_y) >>> title = 'Ex. 6 - qqplot - compare different sample sizes' >>> h = plt.title(title) >>> plt.show() In ppplot, sample size of `other` and the first can be different. `other` will be used to estimate an empirical cumulative distribution function (ECDF). ECDF(x) will be plotted against p(x)=0.5/n, 1.5/n, ..., (n-0.5)/n where x are sorted samples from the first. >>> # example 7 >>> x = np.random.normal(loc=8.25, scale=2.75, size=37) >>> y = np.random.normal(loc=8.75, scale=3.25, size=57) >>> pp_x = sm.ProbPlot(x, fit=True) >>> pp_y = sm.ProbPlot(y, fit=True) >>> fig = pp_y.ppplot(line='45', other=pp_x) >>> h = plt.title('Ex. 7A- ppplot - compare two sample sets, other=pp_x') >>> fig = pp_x.ppplot(line='45', other=pp_y) >>> h = plt.title('Ex. 7B- ppplot - compare two sample sets, other=pp_y') >>> plt.show() The following plot displays some options, follow the link to see the code. .. plot:: plots/graphics_gofplots_qqplot.py """ def __init__(self, data, dist=stats.norm, fit=False, distargs=(), a=0, loc=0, scale=1): self.data = data self.a = a self.nobs = data.shape[0] self.distargs = distargs self.fit = fit if isinstance(dist, str): dist = getattr(stats, dist) if fit: self.fit_params = dist.fit(data) self.loc = self.fit_params[-2] self.scale = self.fit_params[-1] if len(self.fit_params) > 2: self.dist = dist(*self.fit_params[:-2], **dict(loc=0, scale=1)) else: self.dist = dist(loc=0, scale=1) elif distargs or loc != 0 or scale != 1: try: self.dist = dist(*distargs, **dict(loc=loc, scale=scale)) except Exception: distargs = ', '.join([str(da) for da in distargs]) cmd = 'dist({distargs}, loc={loc}, scale={scale})' cmd = cmd.format(distargs=distargs, loc=loc, scale=scale) raise TypeError('Initializing the distribution failed. This ' 'can occur if distargs contains loc or scale. ' 'The distribution initialization command ' 'is:\n{cmd}'.format(cmd=cmd)) self.loc = loc self.scale = scale self.fit_params = np.r_[distargs, loc, scale] else: self.dist = dist self.loc = loc self.scale = scale self.fit_params = np.r_[loc, scale] # propertes self._cache = {} @cache_readonly def theoretical_percentiles(self): """Theoretical percentiles""" return plotting_pos(self.nobs, self.a) @cache_readonly def theoretical_quantiles(self): """Theoretical quantiles""" try: return self.dist.ppf(self.theoretical_percentiles) except TypeError: msg = '%s requires more parameters to ' \ 'compute ppf'.format(self.dist.name,) raise TypeError(msg) except: msg = 'failed to compute the ppf of {0}'.format(self.dist.name,) raise @cache_readonly def sorted_data(self): """sorted data""" sorted_data = np.array(self.data, copy=True) sorted_data.sort() return sorted_data @cache_readonly def sample_quantiles(self): """sample quantiles""" if self.fit and self.loc != 0 and self.scale != 1: return (self.sorted_data-self.loc)/self.scale else: return self.sorted_data @cache_readonly def sample_percentiles(self): """Sample percentiles""" quantiles = \ (self.sorted_data - self.fit_params[-2])/self.fit_params[-1] return self.dist.cdf(quantiles) def ppplot(self, xlabel=None, ylabel=None, line=None, other=None, ax=None, **plotkwargs): """ P-P plot of the percentiles (probabilities) of x versus the probabilities (percentiles) of a distribution. Parameters ---------- xlabel : str or None, optional User-provided labels for the x-axis. If None (default), other values are used depending on the status of the kwarg `other`. ylabel : str or None, optional User-provided labels for the y-axis. If None (default), other values are used depending on the status of the kwarg `other`. line : str {'45', 's', 'r', q'} or None, optional Options for the reference line to which the data is compared: - '45': 45-degree line - 's': standardized line, the expected order statistics are scaled by the standard deviation of the given sample and have the mean added to them - 'r': A regression line is fit - 'q': A line is fit through the quartiles. - None: by default no reference line is added to the plot. other : ProbPlot, array_like, or None, optional If provided, ECDF(x) will be plotted against p(x) where x are sorted samples from `self`. ECDF is an empirical cumulative distribution function estimated from `other` and p(x) = 0.5/n, 1.5/n, ..., (n-0.5)/n where n is the number of samples in `self`. If an array-object is provided, it will be turned into a `ProbPlot` instance default parameters. If not provided (default), `self.dist(x)` is be plotted against p(x). ax : Matplotlib AxesSubplot instance, optional If given, this subplot is used to plot in instead of a new figure being created. **plotkwargs : additional matplotlib arguments to be passed to the `plot` command. Returns ------- fig : Matplotlib figure instance If `ax` is None, the created figure. Otherwise the figure to which `ax` is connected. """ if other is not None: check_other = isinstance(other, ProbPlot) if not check_other: other = ProbPlot(other) p_x = self.theoretical_percentiles ecdf_x = ECDF(other.sample_quantiles)(self.sample_quantiles) fig, ax = _do_plot(p_x, ecdf_x, self.dist, ax=ax, line=line, **plotkwargs) if xlabel is None: xlabel = 'Probabilities of 2nd Sample' if ylabel is None: ylabel = 'Probabilities of 1st Sample' else: fig, ax = _do_plot(self.theoretical_percentiles, self.sample_percentiles, self.dist, ax=ax, line=line, **plotkwargs) if xlabel is None: xlabel = "Theoretical Probabilities" if ylabel is None: ylabel = "Sample Probabilities" ax.set_xlabel(xlabel) ax.set_ylabel(ylabel) ax.set_xlim([0.0, 1.0]) ax.set_ylim([0.0, 1.0]) return fig def qqplot(self, xlabel=None, ylabel=None, line=None, other=None, ax=None, **plotkwargs): """ Q-Q plot of the quantiles of x versus the quantiles/ppf of a distribution or the quantiles of another `ProbPlot` instance. Parameters ---------- xlabel, ylabel : str or None, optional User-provided labels for the x-axis and y-axis. If None (default), other values are used depending on the status of the kwarg `other`. line : str {'45', 's', 'r', q'} or None, optional Options for the reference line to which the data is compared: - '45' - 45-degree line - 's' - standardized line, the expected order statistics are scaled by the standard deviation of the given sample and have the mean added to them - 'r' - A regression line is fit - 'q' - A line is fit through the quartiles. - None - by default no reference line is added to the plot. other : `ProbPlot` instance, array_like, or None, optional If provided, the sample quantiles of this `ProbPlot` instance are plotted against the sample quantiles of the `other` `ProbPlot` instance. Sample size of `other` must be equal or larger than this `ProbPlot` instance. If the sample size is larger, sample quantiles of `other` will be interpolated to match the sample size of this `ProbPlot` instance. If an array-like object is provided, it will be turned into a `ProbPlot` instance using default parameters. If not provided (default), the theoretical quantiles are used. ax : Matplotlib AxesSubplot instance, optional If given, this subplot is used to plot in instead of a new figure being created. **plotkwargs : additional matplotlib arguments to be passed to the `plot` command. Returns ------- fig : Matplotlib figure instance If `ax` is None, the created figure. Otherwise the figure to which `ax` is connected. """ if other is not None: check_other = isinstance(other, ProbPlot) if not check_other: other = ProbPlot(other) s_self = self.sample_quantiles s_other = other.sample_quantiles if len(s_self) > len(s_other): raise ValueError("Sample size of `other` must be equal or " + "larger than this `ProbPlot` instance") elif len(s_self) < len(s_other): # Use quantiles of the smaller set and interpolate quantiles of # the larger data set p = plotting_pos(self.nobs, self.a) s_other = stats.mstats.mquantiles(s_other, p) fig, ax = _do_plot(s_other, s_self, self.dist, ax=ax, line=line, **plotkwargs) if xlabel is None: xlabel = 'Quantiles of 2nd Sample' if ylabel is None: ylabel = 'Quantiles of 1st Sample' else: fig, ax = _do_plot(self.theoretical_quantiles, self.sample_quantiles, self.dist, ax=ax, line=line, **plotkwargs) if xlabel is None: xlabel = "Theoretical Quantiles" if ylabel is None: ylabel = "Sample Quantiles" ax.set_xlabel(xlabel) ax.set_ylabel(ylabel) return fig def probplot(self, xlabel=None, ylabel=None, line=None, exceed=False, ax=None, **plotkwargs): """ Probability plot of the unscaled quantiles of x versus the probabilities of a distribution (not to be confused with a P-P plot). The x-axis is scaled linearly with the quantiles, but the probabilities are used to label the axis. Parameters ---------- xlabel, ylabel : str or None, optional User-provided labels for the x-axis and y-axis. If None (default), other values are used depending on the status of the kwarg `other`. line : str {'45', 's', 'r', q'} or None, optional Options for the reference line to which the data is compared: - '45' - 45-degree line - 's' - standardized line, the expected order statistics are scaled by the standard deviation of the given sample and have the mean added to them - 'r' - A regression line is fit - 'q' - A line is fit through the quartiles. - None - by default no reference line is added to the plot. exceed : bool, optional - If False (default) the raw sample quantiles are plotted against the theoretical quantiles, show the probability that a sample will not exceed a given value - If True, the theoretical quantiles are flipped such that the figure displays the probability that a sample will exceed a given value. ax : Matplotlib AxesSubplot instance, optional If given, this subplot is used to plot in instead of a new figure being created. **plotkwargs : additional matplotlib arguments to be passed to the `plot` command. Returns ------- fig : Matplotlib figure instance If `ax` is None, the created figure. Otherwise the figure to which `ax` is connected. """ if exceed: fig, ax = _do_plot(self.theoretical_quantiles[::-1], self.sorted_data, self.dist, ax=ax, line=line, **plotkwargs) if xlabel is None: xlabel = 'Probability of Exceedance (%)' else: fig, ax = _do_plot(self.theoretical_quantiles, self.sorted_data, self.dist, ax=ax, line=line, **plotkwargs) if xlabel is None: xlabel = 'Non-exceedance Probability (%)' if ylabel is None: ylabel = "Sample Quantiles" ax.set_xlabel(xlabel) ax.set_ylabel(ylabel) _fmt_probplot_axis(ax, self.dist, self.nobs) return fig
[docs]def qqplot(data, dist=stats.norm, distargs=(), a=0, loc=0, scale=1, fit=False, line=None, ax=None, **plotkwargs): """ Q-Q plot of the quantiles of x versus the quantiles/ppf of a distribution. Can take arguments specifying the parameters for dist or fit them automatically. (See fit under Parameters.) Parameters ---------- data : array_like 1d data array dist : A scipy.stats or statsmodels distribution Compare x against dist. The default is scipy.stats.distributions.norm (a standard normal). distargs : tuple A tuple of arguments passed to dist to specify it fully so dist.ppf may be called. loc : float Location parameter for dist a : float Offset for the plotting position of an expected order statistic, for example. The plotting positions are given by (i - a)/(nobs - 2*a + 1) for i in range(0,nobs+1) scale : float Scale parameter for dist fit : bool If fit is false, loc, scale, and distargs are passed to the distribution. If fit is True then the parameters for dist are fit automatically using dist.fit. The quantiles are formed from the standardized data, after subtracting the fitted loc and dividing by the fitted scale. line : str {'45', 's', 'r', q'} or None Options for the reference line to which the data is compared: - '45' - 45-degree line - 's' - standardized line, the expected order statistics are scaled by the standard deviation of the given sample and have the mean added to them - 'r' - A regression line is fit - 'q' - A line is fit through the quartiles. - None - by default no reference line is added to the plot. ax : Matplotlib AxesSubplot instance, optional If given, this subplot is used to plot in instead of a new figure being created. **plotkwargs : additional matplotlib arguments to be passed to the `plot` command. Returns ------- fig : Matplotlib figure instance If `ax` is None, the created figure. Otherwise the figure to which `ax` is connected. See Also -------- scipy.stats.probplot Examples -------- >>> import statsmodels.api as sm >>> from matplotlib import pyplot as plt >>> data = sm.datasets.longley.load(as_pandas=False) >>> data.exog = sm.add_constant(data.exog) >>> mod_fit = sm.OLS(data.endog, data.exog).fit() >>> res = mod_fit.resid # residuals >>> fig = sm.qqplot(res) >>> plt.show() qqplot of the residuals against quantiles of t-distribution with 4 degrees of freedom: >>> import scipy.stats as stats >>> fig = sm.qqplot(res, stats.t, distargs=(4,)) >>> plt.show() qqplot against same as above, but with mean 3 and std 10: >>> fig = sm.qqplot(res, stats.t, distargs=(4,), loc=3, scale=10) >>> plt.show() Automatically determine parameters for t distribution including the loc and scale: >>> fig = sm.qqplot(res, stats.t, fit=True, line='45') >>> plt.show() The following plot displays some options, follow the link to see the code. .. plot:: plots/graphics_gofplots_qqplot.py Notes ----- Depends on matplotlib. If `fit` is True then the parameters are fit using the distribution's fit() method. """ probplot = ProbPlot(data, dist=dist, distargs=distargs, fit=fit, a=a, loc=loc, scale=scale) fig = probplot.qqplot(ax=ax, line=line, **plotkwargs) return fig
[docs]def qqplot_2samples(data1, data2, xlabel=None, ylabel=None, line=None, ax=None): """ Q-Q Plot of two samples' quantiles. Can take either two `ProbPlot` instances or two array-like objects. In the case of the latter, both inputs will be converted to `ProbPlot` instances using only the default values - so use `ProbPlot` instances if finer-grained control of the quantile computations is required. Parameters ---------- data1, data2 : array_like (1d) or `ProbPlot` instances xlabel, ylabel : str or None User-provided labels for the x-axis and y-axis. If None (default), other values are used. line : str {'45', 's', 'r', q'} or None Options for the reference line to which the data is compared: - '45' - 45-degree line - 's' - standardized line, the expected order statistics are scaled by the standard deviation of the given sample and have the mean added to them - 'r' - A regression line is fit - 'q' - A line is fit through the quartiles. - None - by default no reference line is added to the plot. ax : Matplotlib AxesSubplot instance, optional If given, this subplot 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 -------- scipy.stats.probplot Examples -------- >>> import statsmodels.api as sm >>> import numpy as np >>> import matplotlib.pyplot as plt >>> from statsmodels.graphics.gofplots import qqplot_2samples >>> x = np.random.normal(loc=8.5, scale=2.5, size=37) >>> y = np.random.normal(loc=8.0, scale=3.0, size=37) >>> pp_x = sm.ProbPlot(x) >>> pp_y = sm.ProbPlot(y) >>> qqplot_2samples(pp_x, pp_y) >>> plt.show() .. plot:: plots/graphics_gofplots_qqplot_2samples.py >>> fig = qqplot_2samples(pp_x, pp_y, xlabel=None, ylabel=None, \ ... line=None, ax=None) Notes ----- 1) Depends on matplotlib. 2) If `data1` and `data2` are not `ProbPlot` instances, instances will be created using the default parameters. Therefore, it is recommended to use `ProbPlot` instance if fine-grained control is needed in the computation of the quantiles. """ if not isinstance(data1, ProbPlot): data1 = ProbPlot(data1) if not isinstance(data2, ProbPlot): data2 = ProbPlot(data2) fig = data1.qqplot(xlabel=xlabel, ylabel=ylabel, line=line, other=data2, ax=ax) return fig
[docs]def qqline(ax, line, x=None, y=None, dist=None, fmt='r-'): """ Plot a reference line for a qqplot. Parameters ---------- ax : matplotlib axes instance The axes on which to plot the line line : str {'45','r','s','q'} Options for the reference line to which the data is compared.: - '45' - 45-degree line - 's' - standardized line, the expected order statistics are scaled by the standard deviation of the given sample and have the mean added to them - 'r' - A regression line is fit - 'q' - A line is fit through the quartiles. - None - By default no reference line is added to the plot. x : array X data for plot. Not needed if line is '45'. y : array Y data for plot. Not needed if line is '45'. dist : scipy.stats.distribution A scipy.stats distribution, needed if line is 'q'. Notes ----- There is no return value. The line is plotted on the given `ax`. Examples -------- Import the food expenditure dataset. Plot annual food expenditure on x-axis and household income on y-axis. Use qqline to add regression line into the plot. >>> import statsmodels.api as sm >>> import numpy as np >>> import matplotlib.pyplot as plt >>> from statsmodels.graphics.gofplots import qqline >>> foodexp = sm.datasets.engel.load(as_pandas=False) >>> x = foodexp.exog >>> y = foodexp.endog >>> ax = plt.subplot(111) >>> plt.scatter(x, y) >>> ax.set_xlabel(foodexp.exog_name[0]) >>> ax.set_ylabel(foodexp.endog_name) >>> qqline(ax, 'r', x, y) >>> plt.show() .. plot:: plots/graphics_gofplots_qqplot_qqline.py """ if line == '45': end_pts = lzip(ax.get_xlim(), ax.get_ylim()) end_pts[0] = min(end_pts[0]) end_pts[1] = max(end_pts[1]) ax.plot(end_pts, end_pts, fmt) ax.set_xlim(end_pts) ax.set_ylim(end_pts) return # does this have any side effects? if x is None and y is None: raise ValueError("If line is not 45, x and y cannot be None.") elif line == 'r': # could use ax.lines[0].get_xdata(), get_ydata(), # but do not know axes are 'clean' y = OLS(y, add_constant(x)).fit().fittedvalues ax.plot(x,y,fmt) elif line == 's': m,b = y.std(), y.mean() ref_line = x*m + b ax.plot(x, ref_line, fmt) elif line == 'q': _check_for_ppf(dist) q25 = stats.scoreatpercentile(y, 25) q75 = stats.scoreatpercentile(y, 75) theoretical_quartiles = dist.ppf([0.25, 0.75]) m = (q75 - q25) / np.diff(theoretical_quartiles) b = q25 - m*theoretical_quartiles[0] ax.plot(x, m*x + b, fmt)
# about 10x faster than plotting_position in sandbox and mstats def plotting_pos(nobs, a): """ Generates sequence of plotting positions Parameters ---------- nobs : int Number of probability points to plot a : float Offset for the plotting position of an expected order statistic, for example. Returns ------- plotting_positions : array The plotting positions Notes ----- The plotting positions are given by (i - a)/(nobs - 2*a + 1) for i in range(0,nobs+1) See Also -------- scipy.stats.mstats.plotting_positions """ return (np.arange(1., nobs + 1) - a)/(nobs - 2 * a + 1) def _fmt_probplot_axis(ax, dist, nobs): """ Formats a theoretical quantile axis to display the corresponding probabilities on the quantiles' scale. Parameteters ------------ ax : Matplotlib AxesSubplot instance, optional The axis to be formatted nobs : scalar Numbero of observations in the sample dist : scipy.stats.distribution A scipy.stats distribution sufficiently specified to impletment its ppf() method. Returns ------- There is no return value. This operates on `ax` in place """ _check_for_ppf(dist) if nobs < 50: axis_probs = np.array([1, 2, 5, 10, 20, 30, 40, 50, 60, 70, 80, 90, 95, 98, 99, ]) / 100.0 elif nobs < 500: axis_probs = np.array([0.1, 0.2, 0.5, 1, 2, 5, 10, 20, 30, 40, 50, 60, 70, 80, 90, 95, 98, 99, 99.5, 99.8, 99.9]) / 100.0 else: axis_probs = np.array([0.01, 0.02, 0.05, 0.1, 0.2, 0.5, 1, 2, 5, 10, 20, 30, 40, 50, 60, 70, 80, 90, 95, 98, 99, 99.5, 99.8, 99.9, 99.95, 99.98, 99.99]) / 100.0 axis_qntls = dist.ppf(axis_probs) ax.set_xticks(axis_qntls) ax.set_xticklabels(axis_probs*100, rotation=45, rotation_mode='anchor', horizontalalignment='right', verticalalignment='center') ax.set_xlim([axis_qntls.min(), axis_qntls.max()]) def _do_plot(x, y, dist=None, line=False, ax=None, fmt='bo', **kwargs): """ Boiler plate plotting function for the `ppplot`, `qqplot`, and `probplot` methods of the `ProbPlot` class Parameteters ------------ x, y : array_like Data to be plotted dist : scipy.stats.distribution A scipy.stats distribution, needed if `line` is 'q'. line : str {'45', 's', 'r', q'} or None Options for the reference line to which the data is compared. ax : Matplotlib AxesSubplot instance, optional If given, this subplot is used to plot in instead of a new figure being created. fmt : str, optional matplotlib-compatible formatting string for the data markers kwargs : keywords These are passed to matplotlib.plot Returns ------- fig : Matplotlib Figure instance ax : Matplotlib AxesSubplot instance (see Parameters) """ fig, ax = utils.create_mpl_ax(ax) ax.set_xmargin(0.02) ax.plot(x, y, fmt, **kwargs) if line: if line not in ['r','q','45','s']: msg = "%s option for line not understood" % line raise ValueError(msg) qqline(ax, line, x=x, y=y, dist=dist) return fig, ax def _check_for_ppf(dist): if not hasattr(dist, 'ppf'): raise ValueError("distribution must have a ppf method")