statsmodels.graphics.functional.rainbowplot

statsmodels.graphics.functional.rainbowplot(data, xdata=None, depth=None, method='MBD', ax=None, cmap=None)

Create a rainbow plot for a set of curves.

A rainbow plot contains line plots of all curves in the dataset, colored in order of functional depth. The median curve is shown in black.

Parameters:

• data (sequence of ndarrays or 2-D ndarray) – The vectors of functions to create a functional boxplot from. If a sequence of 1-D arrays, these should all be the same size. The first axis is the function index, the second axis the one along which the function is defined. So data[0, :] is the first functional curve.
• xdata (ndarray, optional) – The independent variable for the data. If not given, it is assumed to be an array of integers 0..N-1 with N the length of the vectors in data.
• depth (ndarray, optional) – A 1-D array of band depths for data, or equivalent order statistic. If not given, it will be calculated through banddepth.
• method ({'MBD', 'BD2'}, optional) – The method to use to calculate the band depth. Default is ‘MBD’.
• ax (Matplotlib AxesSubplot instance, optional) – If given, this subplot is used to plot in instead of a new figure being created.
• cmap (Matplotlib LinearSegmentedColormap instance, optional) – The colormap used to color curves with. Default is a rainbow colormap, with red used for the most central and purple for the least central curves.

Returns:

fig – If ax is None, the created figure. Otherwise the figure to which ax is connected.

Return type:

Matplotlib figure instance

See also

banddepth, fboxplot

References

[1] R.J. Hyndman and H.L. Shang, “Rainbow Plots, Bagplots, and Boxplots for

Functional Data”, vol. 19, pp. 29-25, 2010.

Examples

Load the El Nino dataset. Consists of 60 years worth of Pacific Ocean sea surface temperature data.

>>> import matplotlib.pyplot as plt
>>> import statsmodels.api as sm
>>> data = sm.datasets.elnino.load()

Create a rainbow plot:

>>> fig = plt.figure()
>>> ax = fig.add_subplot(111)
>>> res = sm.graphics.rainbowplot(data.raw_data[:, 1:], ax=ax)

>>> ax.set_xlabel("Month of the year")
>>> ax.set_ylabel("Sea surface temperature (C)")
>>> ax.set_xticks(np.arange(13, step=3) - 1)
>>> ax.set_xticklabels(["", "Mar", "Jun", "Sep", "Dec"])
>>> ax.set_xlim([-0.2, 11.2])
>>> plt.show()

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