{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "
\n", "\n", "# The matplotlib.pyplot Package\n", "\n", "[Documentation](https://matplotlib.org/stable/index.html)\n", "***" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "## Table of Contents\n", "\n", "#### [1. Introduction](#Introduction)\n", "\n", "#### [2. The Basics](#Basics)\n", "    [- Basic plotting functions](#)
\n", "    [- Style](#)
\n", "    [- Subplots](#)
\n", "\n", "#### [3. Interesting Plots](#)\n", "    [- ](#)
\n", "    [- ](#)
\n", "    [- ](#)
\n", "\n", "#### [4. ](#)\n", "    [- ](#)
\n", "\n", "#### [5. ](#)\n", "    [- ](#)
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "\n", "***\n", "\n", "#
1. Introduction
\n", "\n", "***" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "\n", "\n", "From:
https://matplotlib.org/stable/tutorials/introductory/pyplot.html#sphx-glr-tutorials-introductory-pyplot-py\n", "\n", "\n", "- \"matplotlib.pyplot is a collection of functions that make matplotlib work like MATLAB.\"\n", "\n", "- \"Each pyplot function makes some change to a figure: e.g., creates a figure, creates a plotting area in a figure, plots some lines in a plotting area, decorates the plot with labels, etc.\"\n", "\n", "- \"In matplotlib.pyplot various states are preserved across function calls, so that it keeps track of things like the current figure and plotting area, and the plotting functions are directed to the current axes (please note that \"axes\" here and in most places in the documentation refers to the axes part of a figure and not the strict mathematical term for more than one axis).\"\n", "\n", "
\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "\n", "***\n", "\n", "#
2. The Basics
\n", "***" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "\n", "
\n", "\n", "## Import libraries\n", "***" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# Plots.\n", "import matplotlib.pyplot as plt\n", "\n", "# Dataframes.\n", "import pandas as pd\n", "\n", "# Numerical arrays.\n", "import numpy as np\n", "\n", "# Random samples.\n", "import random\n", "\n", "# Engine to open xlsx files.\n", "import openpyxl as oxl" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "## (i) Basic plotting functions\n", "[Source](https://matplotlib.org/stable/tutorials/introductory/pyplot.html)\n", "***\n", "\n", "`plot()`\n", "- plots y against x in the form of a line (as default) or another data marker which can be specified as a parameter. \n", "\n", "`ylabel()` & `xlabel()`\n", "- Sets a label for the axis.\n", "\n", "`show()`\n", "- Displays the open figures. \n", "\n", "`plt` is the standard alias for matplotlib.pyplot" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot array. \n", "plt.plot([1, 2, 3, 4])\n", "\n", "# Set y label.\n", "plt.ylabel('Y AXIS')\n", "\n", "# Show plot.\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that when one array is passed through the plt.plot() function, pyplot assumes that array to be the y values and based on those it generates the x values automatically. The reason the starting y value is at zero is, of course, because python is a zero based indexing language - meaning its range always starts at zero as default." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "### Passing in both x and y values\n", "***" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Specifying x and y values.\n", "plt.plot([5, 10, 15, 20], [1, 2, 4, 8])\n", "plt.ylabel('y label')\n", "plt.xlabel('x label')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "## (ii) Style\n", "***" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As mentioned earlier, the plot() function also takes in a third parameter to specify data marker style.
\n", "- The data marker styles are specified as a string containing two values
\n", "- The first character denotes the colour (i.e, g = green etc.)\n", "- The second character denotes the shape (i.e, ^ = triangle, - = line etc) \n", "\n", "The following code will generate a random sample using numpy's arange() function to plot various functions. [https://matplotlib.org/stable/tutorials/introductory/pyplot.html#sphx-glr-tutorials-introductory-pyplot-py]" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Generate random range from 0 (inclusive) to 10 (exclusive) in intervals of 0.5\n", "x = np.arange(0, 10, 0.5)\n", "\n", "# Plot line with red line, blue square, green triangles, and yellow circles. \n", "plt.plot(x, x, 'r--', x, x**2, 'bs', x, x**3, 'g^', x, x**2.5, 'yo')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a side note:\n", "\n", "This example also demonstrates how to plot multiple lines on the same plot! \n", "\n", "Explanation: We can simply list the x and y values and the line style into plt.plot() to create a single line & for subsequent lines we just add abother 3 values (x, y, line-style). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Default styles\n", "\n", "[Default Styles Matplotlib](https://matplotlib.org/stable/users/prev_whats_new/dflt_style_changes.html)\n", "\n", "It is good to know that there are around thirty plot styles that can be set as the default. Have a look at the plot below to see the various plot styles. \n", "\n", "The following code was adapted from this [blog](https://www.dunderdata.com/blog/view-all-available-matplotlib-styles)." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Adapted from: https://www.dunderdata.com/blog/view-all-available-matplotlib-styles\n", "\n", "# Generate a random sample.\n", "x = np.arange(-2, 8, .1)\n", "\n", "# Y values\n", "y = .1 * x ** 3 - x ** 2 + 3 * x + 2\n", "\n", "# COMMENT LATER.\n", "fig = plt.figure(dpi=100, figsize=(9, 18), tight_layout=True)\n", "default_styles = ['default'] + plt.style.available\n", "for i, style in enumerate(default_styles):\n", " index = 0\n", " while index < 5:\n", " with plt.style.context(style):\n", " ax = fig.add_subplot(10, 3, i + 1)\n", " ax.plot(x, y)\n", " index+=1\n", " ax.set_title(style)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "RcParams({'axes.axisbelow': True,\n", " 'axes.edgecolor': 'white',\n", " 'axes.facecolor': '#EAEAF2',\n", " 'axes.grid': True,\n", " 'axes.labelcolor': '.15',\n", " 'axes.linewidth': 0.0,\n", " 'figure.facecolor': 'white',\n", " 'font.family': ['sans-serif'],\n", " 'font.sans-serif': ['Arial',\n", " 'Liberation Sans',\n", " 'DejaVu Sans',\n", " 'Bitstream Vera Sans',\n", " 'sans-serif'],\n", " 'grid.color': 'white',\n", " 'grid.linestyle': '-',\n", " 'image.cmap': 'Greys',\n", " 'legend.frameon': False,\n", " 'legend.numpoints': 1,\n", " 'legend.scatterpoints': 1,\n", " 'lines.solid_capstyle': ,\n", " 'text.color': '.15',\n", " 'xtick.color': '.15',\n", " 'xtick.direction': 'out',\n", " 'xtick.major.size': 0.0,\n", " 'xtick.minor.size': 0.0,\n", " 'ytick.color': '.15',\n", " 'ytick.direction': 'out',\n", " 'ytick.major.size': 0.0,\n", " 'ytick.minor.size': 0.0})" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# View settings for the default plots.\n", "plt.style.library['seaborn-darkgrid']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "- To set a default style: `plt.style.use()`
\n", "- To reset the default to the default style: `plt.style.use('default')`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "### Line properties\n", "***\n", "\n", "
\n", "\n", "There are many ways one can alter the attributes of a line this is done so using the Line2D class.\n", "\n", "\n", "A comprehensive list can be found [here](https://matplotlib.org/stable/api/_as_gen/matplotlib.lines.Line2D.html#matplotlib.lines.Line2D).\n", "\n", "As seen above, we can plot a line by using the `plt.plot()` function which creates an instance of [Line2D class](https://matplotlib.org/stable/api/_as_gen/matplotlib.lines.Line2D.html#matplotlib.lines.Line2D).\n", "\n", "
\n", "\n", "#### 1. By passing in keyword arguments, we can change the attributes of the line:\n", "***\n", "
\n", "\n", "Example: setting the linewidth changes the width of the line, imagine that!" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Create subplots.\n", "fig, (ax1, ax2) = plt.subplots(1, 2)\n", "\n", "# Generate y & x values.\n", "y = [1, 2, 3]\n", "x = [1, 2, 3]\n", "\n", "# Plot line with specified width. \n", "ax1.plot(y, x, 'go-', label='line 1', linewidth=4)\n", "\n", "# Default linewidth & change line colour.\n", "ax2.plot(y, x, 'ro-', label='line 1')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: \n", "\n", "In the square brackets above the plot, the type of data we are dealing with is stated - an instance of the Line2D class." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "#### 2. Use the setter functions of a Line2D instance:\n", "\n", "
\n", "\n", "Example: using set_antialiased" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From [wikipedia](https://en.wikipedia.org/wiki/Spatial_anti-aliasing):
\n", "    \"In computer graphics, anti-aliasing improves the appearance of \"jagged\" polygon edges, or \"jaggies\", so they are smoothed out on the screen.\"\n", "\n", "\n", "\n", "Close up of antialised v. non-antialiased line\n", "\n", "
\n", "
\n", "
\n", "\n", "`set_antialiased()` takes a Boolean value. By setting the value to True, we turn on antialising, visually improving the line and thus, the overall aesthetic of the plot.\n", "\n", "
\n", "\n", "Plot line with antialiasing:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# y-values.\n", "y = [1, 2, 3, 4]\n", "# x-values\n", "x = [5, 10, 30, 90]\n", "\n", "# Plot line.\n", "line, = plt.plot(y, x, 'g-')\n", "\n", "# Turn on antialiasing.\n", "line.set_antialiased(True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot line without antialiasing:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot line.\n", "line, = plt.plot(y, x, 'g-')\n", "\n", "# Turn off antialiasing.\n", "line.set_antialiased(False) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note how the line in the second plot appears jagged and less aesthetically pleasing." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "## Subplots - multiple figures and axes\n", "[Subplots Documentation](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.subplot.html#matplotlib.pyplot.subplot)\n", "***\n", "\n", "\n", "
\n", "\n", "The subplots function specifies the figure and axes in which to place plots. The parameters take integer values:\n", "\n", "
\n", "\n", "`subplots(nrows, ncols, index)`\n", "\n", "- `nrows` : the row to place plot
- The example below has one row.\n", " \n", "- `ncols` : the column to place plot
- The subplot width.\n", "\n", "- `index` : the index the plot will be placed
- index starts at the upper left corner and increments to the right i.e., upper left index is one, plot to its right is 2 etc.\n", "\n", "A three-digit integer without the commas can also be passed through. It does the exact same as with commas.\n", "\n", "Example of subplots using categorical data:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Y values.\n", "y = ['Low', 'Medium', 'High']\n", "\n", "# X values.\n", "x = [10, 50, 200]\n", "\n", "# Set figure size and number of subplots.\n", "plt.figure(figsize=(14, 4))\n", "\n", "# Position the subplot & create bar chart.\n", "plt.subplot(1,3,1)\n", "plt.bar(y, x)\n", "\n", "# Using the three integers for specifying subplot position\n", "# & create a scatter plot.\n", "plt.subplot(132)\n", "plt.scatter(y, x)\n", "\n", "# Specify subplot position & create a simple plot. \n", "plt.subplot(133)\n", "plt.plot(y, x)\n", "\n", "# Give figure a title. \n", "plt.suptitle('Categorical Data')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "There are various ways to create the same plots. Below is a more concise way to write the code to create the same plots as above:\n", "\n", "       by using `fig, ax = plt.subplots()` we can unpack the tuple contained in subplots into the fig and ax variables" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Y values.\n", "y = ['Low', 'Medium', 'High']\n", "\n", "# X values.\n", "x = [10, 50, 200]\n", "\n", "# Creates figure and axes with 1 row and 3 columns & change figure size.\n", "fig, [ax1, ax2, ax3] = plt.subplots(nrows=1, ncols=3, figsize=(12, 3))\n", "\n", "# Set figure size.\n", "fig.set_size_inches(14, 4)\n", "\n", "# Plot values with bar plot.\n", "ax1.bar(y, x)\n", "\n", "# Plot values with scatter plot. \n", "ax2.scatter(y, x)\n", "\n", "# Plot values with line plot. \n", "ax3.plot(y, x);\n", "\n", "# Give figure a title. \n", "fig.suptitle('Categorical Data')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "et voilà! \n", "\n", "Same plot output, more concise code! By assigning each axis position to a variable (ax1, ax2 etc.), we ensured easy access to their respective position with minimal code. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "## Text\n", "[Documentation on Pyplot Text](https://matplotlib.org/stable/tutorials/text/text_intro.html)\n", "***" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following code will exemplify the use of the following functions for adding text to a plot:\n", "\n", "- set_xlabel, set_ylabel & set_title : used for adding labels to plot (x-label, y-label and title). A string is taken in as a parameter, that is, the text you want to display and also, other parameters for styling the text such as fontsize, color etc. These are all instances of matplotlib.text.Text.\n", "\n", "- suptitle : for adding a title to the figure, similar to the functions above it takes in text and other parameters for stying. \n", "\n", "- text : adds text to an arbitrary location on the axes. The location is specified with coordinatates. We can specify the style in the same way as those above because it is also an instance of matplotlib.text.Text. You can use the `bbox` parameter to add a box and style to it. A full list of `matplotlib.pyplot.text` options can be found [here](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.text.html).\n", "\n", "- annotate : allows you to place text at a location on the plot with the coordinates. How this differs from the text function is that an arrow can be added to point to an area of interest using the `arrowprops` parameter. The text is specified with the `xy` parameter. \n", "\n", "
\n", "\n", "In the example below, we will be plotting a normal distribution with Numpy's random package. You can find the documentation [here](https://numpy.org/doc/stable/reference/random/generated/numpy.random.normal.html)." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "# Specifying mean & standard deviation.\n", "mu, sigma = 0, 0.5\n", "\n", "# Generate 1000 samples.\n", "norm = np.random.normal(mu, sigma, 1000)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Create fig & axes.\n", "fig, ax = plt.subplots(nrows=1, ncols=1)\n", "\n", "# Change figure size. \n", "fig.set_size_inches(9, 6)\n", "\n", "# Generate evenly spaced samples over specified intervals.\n", "x = np.random.normal(norm)\n", "\n", "# Add axis labels.\n", "ax.set_xlabel(\"Normal distribution\", fontsize=14, color=\"grey\")\n", "ax.set_ylabel(\"No. of Samples\", fontsize=14, color=\"grey\")\n", "\n", "# Set plot title. \n", "ax.set_title(\"to generate normal samples\", fontsize=18, color=\"grey\")\n", "\n", "# Sets figure title.\n", "fig.suptitle(\"Using Numpy's random package\", fontsize=20, color=\"blue\")\n", "\n", "# Add text in box to indicate location of mean. \n", "ax.text(0.8, 110, '$\\sigma$ = 0.5', color=\"black\", fontsize=16, \n", " bbox={'facecolor':'white'}, style='italic')\n", "\n", "# Add annotation & arrow to which indicates the mean.\n", "ax.annotate('Mean', xy=(-.04, 100), color='black', fontsize=16, \n", " arrowprops=dict(facecolor='yellow', shrink=1), xytext=(-1, 130))\n", "\n", "# Plot normal values.\n", "plt.hist(norm, bins=20, color=\"grey\", rwidth=0.9)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "***\n", "#
3. Interesting Plots
\n", "***" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This section will explore and explain three plots of interest that are created using the Pyplot package. \n", "\n", "First, we need some data in order to build our visualisations. A simple data set was chosen from the Central Statistics Office, which contains information on gender representation in various occupations. The original data came in the form ofan excel sheet and it was then converted to CSV format and loaded via Pandas, see code below. \n", "\n", "Data Source: [CSO Website](https://www.cso.ie/en/releasesandpublications/ep/p-wamii/womenandmeninireland2019/work/)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Load the data\n", "***" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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MenWomenTotalWomenPercent
Occupation
Managers, directors and senior officials119.463.0182.434.5
Professionals224.4256.9481.353.4
Associate professional and technical147.7109.9257.642.7
Administrative and secretarial51.9179.3231.277.6
Skilled trades288.328.9317.29.1
Caring, leisure and other services39.8152.3192.179.3
Sales and customer service69.7114.8184.662.2
Process, plant and machine operatives157.429.6187.015.8
Elementary137.5119.1256.646.4
Other/not stated 15.97.510.075.0
\n", "
" ], "text/plain": [ " Men Women Total WomenPercent\n", "Occupation \n", "Managers, directors and senior officials 119.4 63.0 182.4 34.5\n", "Professionals 224.4 256.9 481.3 53.4\n", "Associate professional and technical 147.7 109.9 257.6 42.7\n", "Administrative and secretarial 51.9 179.3 231.2 77.6\n", "Skilled trades 288.3 28.9 317.2 9.1\n", "Caring, leisure and other services 39.8 152.3 192.1 79.3\n", "Sales and customer service 69.7 114.8 184.6 62.2\n", "Process, plant and machine operatives 157.4 29.6 187.0 15.8\n", "Elementary 137.5 119.1 256.6 46.4\n", "Other/not stated 1 5.9 7.5 10.0 75.0" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Load csv, skip unnecessary rows.\n", "df = pd.read_csv('data/gender_occupation2018.csv')\n", "\n", "# Remove unnecessary row.\n", "df = df[:-1]\n", "\n", "# Set index to be occupation.\n", "df.set_index('Occupation')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Convert values to floats\n", "***\n", "\n", "It became apparent that some values were non-numeric. For this reason, all the values were converted to floats so that the mathematical and plotting functions could be used on the data." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "# Convert Men & Women values to floats. \n", "df[\"Men\"] = df[\"Men\"].astype(float)\n", "df[\"Women\"] = df[\"Women\"].astype(float)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "# Assigns columns to variables. \n", "occ = df[\"Occupation\"]\n", "men = df[\"Men\"]\n", "women = df[\"Women\"]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that the data has been loaded and variables set for each column, a plot can be built. \n", "\n", "The `matplotlib.pyplot.barh` plot was chosen to visualise the data. \n", "\n", "
\n", "\n", "***\n", "##
1. Unstacked Horizontal Bar Plot
\n", "[Documentation on Pyplot bahr plot](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.barh.html)\n", "***\n", "\n", "The barh plot displays `horizontal` bars along the x-axis. \n", "\n", "The horizontal bars will represent the number of persons employed in the various occupations, by gender. These values are specified using the `width` parameter.\n", "\n", "The y-axis represents the different occupations, with is specified with the `y` parameter. The code contained in `y_pos` uses Numpy's arange to evenly spread out the occupation labels on the y-axis. " ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Create figure & axis.\n", "fig, ax = plt.subplots()\n", "\n", "# Change figure size. \n", "fig.set_size_inches(12, 10)\n", "\n", "# Location for y-labels.\n", "y_pos = np.arange(len(occ))\n", "\n", "# Create bars with female values.\n", "ax.barh(y=occ, width=women, align='edge', height=-0.3, alpha=0.7, color='green', label=\"Women\")\n", "\n", "# Creating bars with male values.\n", "ax.barh(y=occ, width=men, align='edge', height=0.3, alpha=0.7, color='grey', label=\"Men\")\n", "\n", "# Set figure title. \n", "fig.suptitle(\"Occupation by Gender\", fontsize=30)\n", "\n", "# Add axis title.\n", "ax.set_title(\"in Ireland\", fontsize=20, color='grey')\n", "\n", "# Set axes labels.\n", "ax.set_ylabel(\"Occupation\", fontsize=16)\n", "ax.set_xlabel(\"Persons (000s) \", fontsize=16)\n", "\n", "# Annotation to highlight occupation with highest employment in occupation.\n", "ax.annotate('Highest no. of male employees', xy=(286, 4.3), color='grey', fontsize=12, \n", " arrowprops=dict(facecolor='black', shrink=0.1, width=10), xytext=(286, 4.8))\n", "\n", "# Annotation to highlight occupation with highest employment in occupation.\n", "ax.annotate('Highest no. of female employees', xy=(255, 1), color='grey', fontsize=12, \n", " arrowprops=dict(facecolor='black', shrink=0.1, width=10), xytext=(255, 1.5))\n", "\n", "# Add legend.\n", "ax.legend(fontsize=14)\n", "\n", "# Add grid.\n", "ax.grid(True, alpha=0.2)\n", "\n", "# Show plots.\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the grid function and passing in `True` creates a grid for improved readability. The `alpha` parameter takes a float value, 1.0 is totally opaque and 0.1 being is very translucent. When set to translucent it gives a less \"busy\" appearence to the plot, making it visually easier on the eye. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The combination of setting `align` to `edge` and one of the `height` values as a negative value allows us to create an unstacked visualisation of the bars. The final version unstacked version is clearer and easier to interpret.\n", "\n", "The stacked version was created by setting `align` to `center`. Note, how it is not as easily interpreted as the unstacked version above." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "***\n", "##
1. `matplotlib.pyplot.pie`
\n", "[Documentation on Pyplot Pie plot](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.pie.html#matplotlib.pyplot.pie)\n", "***" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Colour demo matplotlib https://matplotlib.org/stable/gallery/color/color_demo.html\n", " \n", "To get colour codes: https://www.w3schools.com/colors/colors_picker.asp" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "# Assign Total column values to variable.\n", "total = df[\"Total\"]\n", "occ = df[\"Occupation\"]\n", "colour = ['#002b80', '#003cb3', '#0055ff', '#3377ff', '#6699ff', \n", " '#80aaff', '#b3ccff', '#ccddff', '#e6eeff', '#ffffff']" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create figure & axis.\n", "fig, ax = plt.subplots()\n", "\n", "# Change figure size. \n", "fig.set_size_inches(16, 12)\n", "\n", "# Generate pie plot on axis. \n", "ax.pie(x=total, colors=colour, labels=occ);" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "interpreter": { "hash": "dca0ade3e726a953b501b15e8e990130d2b7799f14cfd9f4271676035ebe5511" }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }