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@LegrandNico
Created May 12, 2020 15:26
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Scatterplot of repeated measures with histogram of differences
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{
"cells": [
{
"cell_type": "code",
"execution_count": 407,
"metadata": {},
"outputs": [],
"source": [
"import itertools\n",
"import seaborn as sns\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib.transforms import Affine2D\n",
"import mpl_toolkits.axisartist.floating_axes as floating_axes\n",
"from mpl_toolkits.axisartist.grid_finder import FixedLocator, MaxNLocator"
]
},
{
"cell_type": "code",
"execution_count": 489,
"metadata": {},
"outputs": [],
"source": [
"n = 100\n",
"rng = np.random.default_rng(0)"
]
},
{
"cell_type": "code",
"execution_count": 500,
"metadata": {},
"outputs": [],
"source": [
"def plot_cornerhist(data=None, x=None, y=None, hue=None):\n",
" \"\"\"Scatterplot of repeated measures with histogram of differences.\n",
" \n",
" Parameters\n",
" ----------\n",
" data : pandas Dataframe or None\n",
" DataFrame. Note that this function can also directly be used as a\n",
" Pandas method, in which case this argument is no longer needed.\n",
" x : list, 1d array-like or string\n",
" 1d array or list of 1d array for condition plotted in the X axis. If\n",
" a string is provided, should be the name of column containing the\n",
" grouping variable.\n",
" y : list, 1d array-like or string\n",
" 1d array or list of 1d array for condition plotted in the Y axis. If\n",
" a string is provided, should be the name of column containing the\n",
" grouping variable.\n",
" hue : string or None\n",
" If a string is provided, should be the name of column containing\n",
" the grouping variable.\n",
" \n",
" Returns\n",
" -------\n",
" f : Matplotlib Figure instance\n",
" The figure.\n",
" ax : Matplotlib Axes instance\n",
" Returns the Axes object with the plot for further tweaking.\n",
"\n",
" \"\"\"\n",
" # Security check and formatting\n",
" if isinstance(x, np.ndarray) & isinstance(y, np.ndarray):\n",
" xs, ys, labels = [x], [y], ['0']\n",
" elif isinstance(data, pd.DataFrame):\n",
" xlabel, ylabel = x, y\n",
" if hue is not None:\n",
" xs, ys, labels = [], [], []\n",
" for h in data[hue].unique():\n",
" xs.append(data[data[hue]==h][x].to_numpy())\n",
" ys.append(data[data[hue]==h][y].to_numpy())\n",
" labels.append(h)\n",
" else:\n",
" xs, ys = [data[x].to_numpy()], [data[y].to_numpy()]\n",
" labels = ['0']\n",
" else:\n",
" xs, ys, labels = x, y, np.arange(0, len(x))\n",
"\n",
" palette = itertools.cycle(sns.color_palette(\"Set1\"))\n",
"\n",
" f, ax = plt.subplots(figsize=(6, 6))\n",
"\n",
" # Set axes limit \n",
" lim_min = np.min([xs, ys]) - (np.max([xs, ys]) - np.min([xs, ys])) * .1\n",
" lim_max = np.max([xs, ys]) + (np.max([xs, ys]) - np.min([xs, ys])) * .2\n",
" lim = lim_min, lim_max\n",
"\n",
" # Set hist axes size\n",
" hist_size = .5\n",
" hist_range = hist_size * np.sqrt(2) * (lim_max - lim_min) # Length of X axis\n",
" plot_extents = -hist_range/2, hist_range/2, 0, 1 # Axis extend\n",
"\n",
" # Plot histogram\n",
" transform = Affine2D().scale(1 / (hist_range), 1).rotate_deg(-45)\n",
" helper = floating_axes.GridHelperCurveLinear(transform, extremes=plot_extents, grid_locator1=MaxNLocator(4))\n",
" inset = floating_axes.FloatingAxes(f, [.6, .6, hist_size, hist_size], grid_helper=helper)\n",
"\n",
" bar_ax = inset.get_aux_axes(transform)\n",
"\n",
" for x, y, label in zip(xs, ys, labels):\n",
"\n",
" col = next(palette)\n",
"\n",
" # Draw scatterplot\n",
" ax.set(xlim=lim, ylim=lim)\n",
" ax.plot(lim, lim, c=\".7\", dashes=(4, 2), zorder=0) \n",
" ax.scatter(x, y, alpha=.3, color=col, label=label)\n",
"\n",
" f.subplots_adjust(right=.8, top=.8)\n",
" ax.spines[\"right\"].set_visible(False)\n",
" ax.spines[\"top\"].set_visible(False)\n",
"\n",
" hist, bins = np.histogram(x - y, range=[-hist_range/ 2, hist_range/ 2], bins=20, density=True)\n",
" w = bins[1] - bins[0] # Bar width\n",
"\n",
" bar_ax.bar(bins[:-1], hist, w, alpha=.5, color=col)\n",
"\n",
" if data is not None:\n",
" ax.set(xlabel=xlabel, ylabel=ylabel)\n",
" else:\n",
" ax.set(xlabel='X', ylabel='Y')\n",
" \n",
" if len(labels)>1:\n",
" ax.legend()\n",
"\n",
" bar_ax.plot((0, 0), (0, hist.max()), c=\"0\", dashes=(4, 2))\n",
" bar_ax.set_ylim(0, 2)\n",
" inset.axis[\"left\"].set_visible(False)\n",
" inset.axis[\"right\"].set_visible(False)\n",
" inset.axis[\"top\"].set_visible(False)\n",
" inset.axis[\"bottom\"].major_ticklabels.set_rotation(45)\n",
"\n",
" axis = inset.axis[\"bottom\"]\n",
" axis.major_ticks.set_tick_out(True)\n",
"\n",
" f.add_axes(inset)\n",
" \n",
" return f, ax"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"With list or numpy array"
]
},
{
"cell_type": "code",
"execution_count": 491,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x1 = rng.normal(0, .85, n)\n",
"y1 = x1 - rng.normal(.5, .5, n)\n",
"\n",
"plot_cornerhist(x=x1, y=y1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"With list of numpy array"
]
},
{
"cell_type": "code",
"execution_count": 492,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x2 = rng.normal(0.5, .85, n)\n",
"y2 = x2 + rng.normal(1., .5, n)\n",
"\n",
"plot_cornerhist(x=[x1, x2], y=[y1, y2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"With dataframe (wide format)"
]
},
{
"cell_type": "code",
"execution_count": 501,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x3 = rng.normal(-0.5, 0.6, n)\n",
"y3 = x3 - rng.normal(1.5, .75, n)\n",
"\n",
"df = pd.concat([pd.DataFrame({'Condition1': x1, 'Condition2': y1, 'hue': 'Group1'}),\n",
" pd.DataFrame({'Condition1': x2, 'Condition2': y2, 'hue': 'Group2'}),\n",
" pd.DataFrame({'Condition1': x3, 'Condition2': y3, 'hue': 'Group3'})])\n",
"\n",
"plot_cornerhist(data=df, x='Condition1', y='Condition2', hue='hue')\n",
"plt.savefig('cornerHist.png', dpi=300)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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