{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Seaborn | Part-3: Matplotlib v/s Seaborn Plotting Code" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this lecture we shall be comparing the lines of code we are required to write for a particular plot using Matplotlib and then Seaborn. This gets even more evident when trying to draw a statistical plot which is often the case in Data Science domain. And for this purpose today we shall take an example of a Linear Regression plot.\n", "\n", "But before we get in action, let me highlight another important aspect related to aesthetics of a Seaborn plot. If you have installed Seaborn version 0.20 or above (which certainly will be the case if you have installed lately or updated Seaborn anytime after June, 2017), then the plots don't seem to automatically separate the value representations. Let me show what I mean by plotting one such figure:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Importing required Libraries:\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import warnings # Current version of Seaborn generates a bunch of warnings that we'll ignore in this tutorial\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "# Creating a randomly distributed dataset:\n", "x = np.random.normal(size=100)\n", "sns.distplot(x, bins=20, kde=True, rug=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The warning above is harmless as it just shows that a particular argument (`normed`) has been deprecated in current version of Seaborn. But the thing to observe in this histogram is that each bar is closely attached to another and though this might be the latest enhancement by Seaborn, many professional still like the old-Matplotlib style of bar separation. Here we shall try to draw separators between each bar:" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.distplot(x, bins=20, kde=True, rug=True, hist_kws=dict(edgecolor='k', linewidth=0.5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we have each bar visibly separated and that gets more appealing to few professionals so if you want to, then now you know how to get this done. As far as the parameters are concerned, you don't really need to get bothered about that for now because I shall be covering these distribution plots in detail, in upcoming lectures." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another important change that happened with version 0.20 was in terms of limits of axes. Sounds confusing, right? Let me show you an example of what I mean:" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Loading up built-in dataset:\n", "titanic = sns.load_dataset(\"titanic\")\n", "\n", "# Creating a Distribution plot:\n", "sns.distplot(titanic.age.dropna(), hist_kws=dict(edgecolor='k', linewidth=0.5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You may notice in above plot that X-axis in particular doesn't start with 0 at extreme left bottom. Many a times we would let it be this way but for some reason if we strictly want the plot to begin with 0, then it requires an additional line of code:" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.xlim([0, 100])\n", "sns.distplot(titanic.age.dropna(), hist_kws=dict(edgecolor='k', linewidth=0.5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The list passed defines the *lower* and *upper* limits of our `X-axis`. If required, similarly we may set limits for our Y-axis as well by just adding another line of code: `plt.ylim([lower, upper])`. That pretty much covers the ledft overs for us in terms of aesthetics of our plot. I shall keep guiding you through the lectures with as much plot customization as I can but in a general professional atmosphere, this shall be good enough to begin with.\n", "\n", "Now we shall look into our long awaited code length competition (Just kidding guys!). So, let us begin plotting our Matplotlib plot for Regression but before I begin, let me very clear on the point that we shall not delve into discussing Matplotlib code here because our sole agenda is only to observe the convenience we get with Seaborn. So here it is:" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0, 30)" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Creating random datapoints:\n", "x = [1,2,3,4,5,6,7,8,9,10]\n", "y = [3,5,7,10,11,12,14,15,19,25] # Have tried to imbalance the fir\n", "\n", "fit = np.polyfit(x,y,1)\n", "# fit_fn is now a function which takes in x and returns an estimate for y\n", "fit_fn = np.poly1d(fit)\n", "plt.plot(x,y, 'yo', x, fit_fn(x), '--', color='C0')\n", "plt.xlabel(\"Values of x\")\n", "plt.ylabel(\"Values of y\")\n", "plt.xlim(0, 11)\n", "plt.ylim(0, 30)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although it isn't a topic of our interest, still just for this example I shall illustrate how we could have mathematically computed factors like Slope, intercept, r-value (Correlation coefficient), p-value and Standard error of the estimate using [Scipy](https://docs.scipy.org/doc/scipy-0.14.0/reference/generated/scipy.stats.linregress.html):" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LinregressResult(slope=1.7030303030303031, intercept=1.9333333333333336, rvalue=0.9941500878923314, pvalue=5.087722860291224e-09, stderr=0.06541525195431219)\n" ] } ], "source": [ "# stats model within SciPy is specifically for statistical plotting &\n", "# linregress computes a LSR (least-squares Regression) for two sets of measurements:\n", "from scipy.stats import linregress\n", "\n", "linregress(x,y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Linear Regression](http://data.library.virginia.edu/diagnostic-plots/) plots in general Linear attempts to model the relationship between two variables (*x* and *y* here) by fitting a linear equation to observed data. One variable is considered to be an explanatory variable, and the other is considered to be a dependent variable. \n", "For example, a Data Analyst might want to relate the weight of individuals to their height using a linear regression model. Or just a simple linear fit that we're trying to achieve with our example.\n", "\n", "Let's now get this done in Seaborn:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Let us use one of our built-in dataset to achieve this:\n", "tips = sns.load_dataset(\"tips\")\n", "\n", "sns.regplot(x=\"total_bill\", y=\"tip\", data=tips)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Both the plots on respective data points are correct but what differs is the control with a single line of code. Although I must agree that SciPy has enhanced a lot of features and things look good, but Seaborn always has that edge with it's visually appealing plots.\n", "\n", "Let me also give you a quick preview with different color for this plot:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#Let us use one of our built-in dataset to achieve this:\n", "tips = sns.load_dataset(\"tips\")\n", "\n", "sns.regplot(x=\"total_bill\", y=\"tip\", data=tips, color=\"r\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before we move on to our next lecture, let me show a Seaborn plot against a Matplotlib plot which might be little complex at this stage but as you keep discussing more & more on our subject, at least the Seaborn segment of it will get clearer for you. Our sole agenda would be just to view the plot and not focus on the code associated. So let me present it without any further delay:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate Data:\n", "nobs, nvars = 100, 5\n", "data = np.random.random((nobs, nvars))\n", "columns = ['Variable {}'.format(i) for i in range(1, nvars + 1)]\n", "df = pd.DataFrame(data, columns=columns)\n", "\n", "# Making a simple pairplot using Seaborn:\n", "sns.pairplot(df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let us try to do the same using Matplotlib and the difference in aesthetics should be a great morale booster for you to stay glued ahead for this statistical visualization bible with Python." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generatig Data:\n", "nobs, nvars = 100, 5\n", "data = np.random.random((nobs, nvars))\n", "columns = ['Variable {}'.format(i) for i in range(1, nvars + 1)]\n", "\n", "# Making a pairplot:\n", "fig, axes = plt.subplots(ncols=nvars, nrows=nvars, sharex='col', sharey='row')\n", "for (i, j), ax in np.ndenumerate(axes):\n", " if i == j:\n", " ax.annotate(columns[i], (0.5, 0.5), xycoords='axes fraction',\n", " ha='center', va='center', size='large')\n", " else:\n", " ax.scatter(data[:,i], data[:,j], color='lightblue')\n", " ax.locator_params(nbins=6, prune='both')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is quite a bit of difference that we can observe in both the plots above but also let me tell you that there are immense opportunities of customization in *Matplotlib* code (which even you may try on your own) but that would require more lines of code or say parameters. Here, Seaborn gives us flexibility to achieve the same with minimum number of lines of code and this *statistical representation efficiency* is what we shall be observing throughout this course.\n", "\n", "With this comparision been done, in our next lecture we shall be looking into Color options that are available with Seaborn and backed by Matplotlib. There multiple tips and tricks regarding colors that I would keep sharing in addition to next lecture, when we plot various types of Seaborn figures. Till then, **Happy Visualizing**!" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }