{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Evaluation of fMRIPrep: comparing group t-map distributions with FSL feat\n", "\n", "This notebook shows the distribution of t-values for fMRIPrep and feat\n", "\n", "### 0. Setting up\n", "\n", "Import relevant modules and set up several paths. Please point the environment variable ``FMRIPREP_DATA_HOME`` to the path where DS000030 dataset is store, and make sure that there exists a ``derivatives/`` folder under it." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import os\n", "import json\n", "from pathlib import Path\n", "\n", "import numpy as np\n", "import nibabel as nb\n", "import pandas as pd\n", "\n", "import matplotlib as mpl\n", "mpl.use('pgf')\n", "\n", "import matplotlib.pyplot as plt\n", "from matplotlib import gridspec\n", "import seaborn as sn\n", "import palettable\n", "\n", "from nilearn.image import concat_imgs, mean_img\n", "from nilearn import plotting" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "DATA_HOME = Path(os.getenv('FMRIPREP_DATA_HOME', os.getcwd())).resolve()\n", "DS030_HOME = DATA_HOME / 'ds000030' / '1.0.3'\n", "DERIVS_HOME = DS030_HOME / 'derivatives'\n", "ATLAS_HOME = DATA_HOME / 'templates' / 'mni_icbm152_nlin_asym_09c'\n", "ANALYSIS_SMOOTHED_HOME = DERIVS_HOME / 'fmriprep_vs_feat_2.0-jd'\n", "ANALYSIS_NOSMOOTH_HOME = DERIVS_HOME / 'fmriprep_vs_feat_nosmooth'\n", "\n", "fprep_home = DERIVS_HOME / 'fmriprep_1.0.8' / 'fmriprep'\n", "feat_home = DERIVS_HOME / 'fslfeat_5.0.10' / 'featbids'\n", "\n", "FIGURES_PATH = Path(os.getenv('FMRIPREP_FIGURES', os.getcwd()))\n", "OUTPUTS_PATH = Path(os.getenv('FMRIPREP_OUTPUTS') or '').resolve()\n", "\n", "# Load MNI152 nonlinear, asymmetric 2009c atlas\n", "atlas = nb.load(str(ATLAS_HOME / '1mm_T1.nii.gz'))\n", "mask1mm = nb.load(str(ATLAS_HOME / '1mm_brainmask.nii.gz')).get_data() > 0\n", "mask2mm = nb.load(str(ATLAS_HOME / '2mm_brainmask.nii.gz')).get_data() > 0\n", "data = atlas.get_data()\n", "data[~mask1mm] = data[~mask1mm].max()\n", "atlas = nb.Nifti1Image(data, atlas.affine, atlas.header)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "if 'inline' not in mpl.get_backend():\n", " sn.set_style(\"whitegrid\", {\n", " 'ytick.major.size': 0,\n", " 'xtick.major.size': 5,\n", " })\n", " sn.set_context(\"notebook\", font_scale=1)\n", "\n", " pgf_with_custom_preamble = {\n", " 'ytick.major.size': 0,\n", " 'xtick.major.size': 5,\n", " 'ytick.major.pad': 0,\n", " 'font.sans-serif': ['HelveticaLTStd-Light'],\n", " 'font.family': 'sans-serif', # use serif/main font for text elements\n", " 'text.usetex': False, # use inline math for ticks\n", " }\n", " mpl.rcParams.update(pgf_with_custom_preamble)\n", "\n", "\n", " pgf_with_custom_preamble = {\n", " # 'font.sans-serif': ['Helvetica Light'],\n", " # 'font.family': 'sans-serif', # use serif/main font for text elements\n", " 'text.usetex': True, # use inline math for ticks\n", " 'pgf.rcfonts': False, # don't setup fonts from rc parameters\n", " 'pgf.texsystem': 'xelatex',\n", " 'verbose.level': 'debug-annoying',\n", " \"pgf.preamble\": [\n", " # r'\\renewcommand{\\sfdefault}{phv}',\n", " # r'\\usepackage[scaled=.92]{helvet}',\n", " r\"\"\"\\usepackage{fontspec}\n", " \\setsansfont{HelveticaLTStd-Light}[\n", " Extension=.otf,\n", " BoldFont=HelveticaLTStd-Bold,\n", " ItalicFont=HelveticaLTStd-LightObl,\n", " BoldItalicFont=HelveticaLTStd-BoldObl,\n", " ]\n", " \\setmainfont{HelveticaLTStd-Light}[\n", " Extension=.otf,\n", " BoldFont=HelveticaLTStd-Bold,\n", " ItalicFont=HelveticaLTStd-LightObl,\n", " BoldItalicFont=HelveticaLTStd-BoldObl,\n", " ]\n", " \\setmonofont{Inconsolata-dz}\n", " \"\"\",\n", " r'\\renewcommand\\familydefault{\\sfdefault}',\n", " # r'\\setsansfont[Extension=.otf]{Helvetica-LightOblique}',\n", " # r'\\setmainfont[Extension=.ttf]{DejaVuSansCondensed}',\n", " # r'\\setmainfont[Extension=.otf]{FiraSans-Light}',\n", " # r'\\setsansfont[Extension=.otf]{FiraSans-Light}',\n", " ]\n", " }\n", " mpl.rcParams.update(pgf_with_custom_preamble)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def extract_file(in_file, mask):\n", " \"\"\"\n", " Reads a t-stats map and returns the vector of t-values that are within\n", " a mask, and the median value.\n", " \"\"\"\n", " try:\n", " t_vals = nb.load(str(in_file)).get_data()[mask]\n", " except FileNotFoundError:\n", " print('Warning: \"%s\" not found' % in_file)\n", " return None, None\n", " return t_vals.tolist(), np.median(t_vals[t_vals > 0])" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Warning: \"/oak/stanford/groups/russpold/data/ds000030/1.0.3/derivatives/fmriprep_vs_feat_2.0-jd/l2-jd/fmriprep_stopsignal_N050_R003_S0/tstat1.nii.gz\" not found\n", "Warning: \"/oak/stanford/groups/russpold/data/ds000030/1.0.3/derivatives/fmriprep_vs_feat_2.0-jd/l2-jd/fslfeat_stopsignal_N050_R003_S0/tstat1.nii.gz\" not found\n", "Warning: \"/oak/stanford/groups/russpold/data/ds000030/1.0.3/derivatives/fmriprep_vs_feat_2.0-jd/l2-jd/fmriprep_stopsignal_N050_R003_S1/tstat1.nii.gz\" not found\n", "Warning: \"/oak/stanford/groups/russpold/data/ds000030/1.0.3/derivatives/fmriprep_vs_feat_2.0-jd/l2-jd/fslfeat_stopsignal_N050_R003_S1/tstat1.nii.gz\" not found\n" ] } ], "source": [ "# Calculate medians across repetitions\n", "all_t_fprep = {'smoothed': [], 'nosmooth': []}\n", "all_t_feat = {'smoothed': [], 'nosmooth': []}\n", "\n", "means_t_fprep = {'smoothed': [], 'nosmooth': []}\n", "means_t_feat = {'smoothed': [], 'nosmooth': []}\n", "\n", "for rep in list(range(1, 201)):\n", " for sample in list(range(2)):\n", " fprep_path = 'fmriprep_stopsignal_N050_R%03d_S%d' % (rep, sample)\n", " feat_path = 'fslfeat_stopsignal_N050_R%03d_S%d' % (rep, sample)\n", " \n", " group_dir = ANALYSIS_SMOOTHED_HOME / 'l2-jd'\n", " fprep_tvals, fprep_loc = extract_file(group_dir / fprep_path / 'tstat1.nii.gz', mask2mm)\n", " if fprep_tvals:\n", " means_t_fprep['smoothed'].append(fprep_loc)\n", " all_t_fprep['smoothed'] += fprep_tvals\n", " \n", " feat_tvals, feat_loc = extract_file(group_dir / feat_path / 'tstat1.nii.gz', mask2mm)\n", " if feat_tvals is not None:\n", " means_t_feat['smoothed'].append(feat_loc)\n", " all_t_feat['smoothed'] += feat_tvals\n", " \n", " group_dir = ANALYSIS_NOSMOOTH_HOME / 'l2-jd'\n", " fprep_tvals, fprep_loc = extract_file(group_dir / fprep_path / 'tstat1.nii.gz', mask2mm)\n", " if fprep_tvals is not None:\n", " means_t_fprep['nosmooth'].append(fprep_loc)\n", " all_t_fprep['nosmooth'] += fprep_tvals\n", " \n", " \n", " feat_tvals, feat_loc = extract_file(group_dir / feat_path / 'tstat1.nii.gz', mask2mm)\n", " if feat_tvals:\n", " means_t_feat['nosmooth'].append(feat_loc)\n", " all_t_feat['nosmooth'] += feat_tvals\n", "\n", "\n", "all_t_feat['nosmooth'] = np.array(all_t_feat['nosmooth'])\n", "all_t_feat['smoothed'] = np.array(all_t_feat['smoothed'])\n", "\n", "all_t_fprep['nosmooth'] = np.array(all_t_fprep['nosmooth'])\n", "all_t_fprep['smoothed'] = np.array(all_t_fprep['smoothed'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Comparing t-map distributions\n", "\n", "In the previous cell, all the $t$-values within the template mask are collected, for both samples across all repetitions of the two-groups experiment (with N=50).\n", "Let us remind here that this experiment run 200 permutations where the 257 subjects from DS000030 are randomly sampled into two groups (here, we selected the groups with N=50).\n", "Then, both FSL ``feat`` and _fMRIPrep_ are run on each groups and the overlap between groups is measured." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/oesteban/.anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n", " warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n", "/home/oesteban/.anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n", " warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n", "/home/oesteban/.anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n", " warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n", "/home/oesteban/.anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n", " warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n" ] }, { "data": { "text/plain": [ "
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MdYeJjfCliZtzjbVenc11l4eRklvC/I1HeMinNQHebrW6PxERERGpPWrREjmDvGI7CzYd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\n/xzse8oJipUrYM4q8GQBEE/D3bsC3LPHT8BMc2N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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.clf()\n", "f, (ax1, ax2) = plt.subplots(1, 2, figsize=(15, 3))\n", "plt.subplots_adjust(wspace=0.01)\n", "\n", "avg_nosmooth = 0.5 * (all_t_feat['nosmooth'] + all_t_fprep['nosmooth'])\n", "diff_nosmooth = all_t_feat['nosmooth'] - all_t_fprep['nosmooth']\n", "masked_ns = np.abs(avg_nosmooth) > 1e-3\n", "\n", "ax1.axhline(0.3, 0.5, 0.91, color='silver', lw=0.5)\n", "ax1.axhline(0.2, 0.55, 0.91, color='silver', lw=0.5)\n", "sn.distplot(all_t_fprep['nosmooth'][all_t_fprep['nosmooth'] != 0],\n", "# sn.distplot(np.random.choice(all_t_fprep['nosmooth'][all_t_fprep['nosmooth'] != 0], replace=False, size=1000),\n", " label='fMRIPrep', ax=ax1, norm_hist=True, kde=True)\n", "sn.distplot(all_t_feat['nosmooth'][all_t_feat['nosmooth'] != 0],\n", "# sn.distplot(np.random.choice(all_t_feat['nosmooth'][all_t_feat['nosmooth'] != 0], replace=False, size=1000),\n", " label=r'\\texttt{feat}', ax=ax1, norm_hist=True, kde=True)\n", "ax1.set_title('No smoothing');\n", "ax1.set_xlim((-7.5, 7.5))\n", "ax1.set_ylim((0, 0.35))\n", "ax1.set_xticks([-2.98, 0, 2.98])\n", "ax1.set_yticks([])\n", "ax1.set_yticklabels([])\n", "ax1.set_xticklabels(['-2.98', '0', '2.98'])\n", "ax1.grid(False)\n", "\n", "ax2.axhline(0.3, 0.05, 0.5, color='silver', lw=0.5)\n", "ax2.axhline(0.2, 0.05, 0.45, color='silver', lw=0.5)\n", "\n", "sn.distplot(all_t_fprep['smoothed'][all_t_fprep['smoothed'] != 0],\n", "# sn.distplot(np.random.choice(all_t_fprep['smoothed'][all_t_fprep['smoothed'] != 0], replace=False, size=1000),\n", " label='fMRIPrep', ax=ax2, norm_hist=True, kde=True)\n", "sn.distplot(all_t_feat['smoothed'][all_t_feat['smoothed'] != 0],\n", "# sn.distplot(np.random.choice(all_t_feat['smoothed'][all_t_feat['smoothed'] != 0], replace=False, size=1000),\n", " label=r'\\texttt{feat}', ax=ax2, norm_hist=True, kde=True)\n", "ax2.set_title('FWHM = 5.0mm');\n", "ax2.set_xlim((-7.5, 7.5))\n", "ax2.set_ylim((0, 0.35))\n", "ax2.set_yticklabels(['20\\%', '30\\%'])\n", "ax2.set_yticks([0.20, 0.30])\n", "ax2.set_xticks([-2.98, 0, 2.98])\n", "ax2.set_xticklabels(['-2.98', '0', '2.98'])\n", "ax2.grid(False)\n", "\n", "\n", "ax2.legend(loc='lower center', bbox_to_anchor=(-0.02, 0.1))\n", "sn.despine(left=True, bottom=True)\n", "\n", "# Store the figure iff we are not plotting inline.\n", "if 'inline' not in mpl.get_backend():\n", " plt.savefig(str(FIGURES_PATH / 'figureS07b.pdf'),\n", " format='pdf', bbox_inches='tight', pad_inches=0.2, dpi=300)\n", " plt.savefig(str(FIGURES_PATH / 'figureS07b.png'),\n", " format='png', bbox_inches='tight', pad_inches=0.2, dpi=300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Comparing distributions as a test-retest experiment\n", "In this second part, we use [Bland-Altman plots](https://en.wikipedia.org/wiki/Bland%E2%80%93Altman_plot) using the t-values obtained with FSL feat as first measurement and those obtained with _fMRIPrep_ as second measurement, showing that the differences between both are minimal, and likely derived from the different effective smoothing of the data.\n", "\n", "### 2.1. Unsmoothed data" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/oesteban/.anaconda3/lib/python3.6/site-packages/matplotlib/contour.py:960: UserWarning: The following kwargs were not used by contour: 'height'\n", " s)\n" ] }, { "data": { "image/png": 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g3UKd8alMYyJnUgYhiipl7wJ1Jfn2aiAEaBtBow2Ptz1GKZSQHC+qW8NCBC48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\n4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iNSciBa0vqr/gD5GtJmfHAgDeXntE0zr0gOFE5CQ1gogh5x2igv0wqm8U3ttw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\ngg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "avgs = 0.5 * (all_t_feat['nosmooth'] + all_t_fprep['nosmooth'])\n", "nonzero = np.abs(avgs) > 1e-3\n", "\n", "# Randomly sample before plotting, not to clutter the figure\n", "idxs = np.random.choice(list(range(len(avgs[nonzero]))), replace=False, size=5000)\n", "diff = all_t_feat['nosmooth'][nonzero] - all_t_fprep['nosmooth'][nonzero]\n", "plt.scatter(avgs[nonzero][idxs], diff[idxs], alpha=0.05)\n", "\n", "g = sn.jointplot(avgs[nonzero][idxs], diff[idxs], kind=\"kde\", height=7, space=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look into both tails of the plot by filtering out those voxels that had an average (feat, _fMRIPrep_) < 2.0" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/oesteban/.anaconda3/lib/python3.6/site-packages/matplotlib/contour.py:960: UserWarning: The following kwargs were not used by contour: 'height'\n", " s)\n" ] }, { "data": { "image/png": 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eMxhOREQqYsvJOQwnIiIVGYRAVT1bTo4wnIiIVGQwANVmtpwcYTgREamouVuP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\nREQU6DwNpz4Axgkh1gohlgshRihRFBE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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nonzero = np.abs(avgs) > 2.0\n", "idxs = np.random.choice(list(range(len(avgs[nonzero]))), replace=False, size=5000)\n", "diff = all_t_feat['nosmooth'][nonzero] - all_t_fprep['nosmooth'][nonzero]\n", "g = sn.jointplot(avgs[nonzero][idxs], diff[idxs], kind=\"kde\", height=7, space=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2.2. Smoothed data" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/oesteban/.anaconda3/lib/python3.6/site-packages/matplotlib/contour.py:960: UserWarning: The following kwargs were not used by contour: 'height'\n", " s)\n" ] }, { "data": { "image/png": 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3SHmlo8/X1sO3JZfFZ/7KxnhRKdzEw397vsf5zOPtwINlzdFSQsr8/nTHqqlo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\nMONoWlEkVYtaKTqm6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by8iT1hFbU4EtMToM3aNDsf5Qpd6lGArDiUgDagQMAypw9U+KwTpOY3QKn8NJ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\nkeEwnIiINMSGkzIMJyIiMhyGExERGQ7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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "avgs = 0.5 * (all_t_feat['smoothed'] + all_t_fprep['smoothed'])\n", "nonzero = np.abs(avgs) > 1e-3\n", "idxs = np.random.choice(list(range(len(avgs[nonzero]))), replace=False, size=5000)\n", "diff = all_t_feat['smoothed'][nonzero] - all_t_fprep['smoothed'][nonzero]\n", "plt.scatter(avgs[nonzero][idxs], diff[idxs], alpha=0.05)\n", "\n", "g = sn.jointplot(avgs[nonzero][idxs], diff[idxs], kind=\"kde\", height=7, space=0)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/oesteban/.anaconda3/lib/python3.6/site-packages/matplotlib/contour.py:960: UserWarning: The following kwargs were not used by contour: 'height'\n", " s)\n" ] }, { "data": { "image/png": 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mtjCcHGE4ERGpzMzOySGGExGRylp4zMkhhhMRkcp4zMkxhhMRkcoYTo4xnIiI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\nEZHuMJyIiEh3GE5ERKQ7DCciIhXxkJN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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nonzero = np.abs(avgs) > 2.0\n", "idxs = np.random.choice(list(range(len(avgs[nonzero]))), replace=False, size=5000)\n", "diff = all_t_feat['smoothed'][nonzero] - all_t_fprep['smoothed'][nonzero]\n", "g = sn.jointplot(avgs[nonzero][idxs], diff[idxs], kind=\"kde\", height=7, space=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Plotting the distribution of medians of t-values" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/oesteban/.anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n", " warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n", "/home/oesteban/.anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n", " warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n", "/home/oesteban/.anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n", " warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n", "/home/oesteban/.anaconda3/lib/python3.6/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n", " warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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AAGCUha3VP7+8TzMn5GrNimlxHXvWhFxNzM/Uuv0tzPMAJD3CHiSV1u5+tXT7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\n2zEGGy/adJhS6jOllF0p9cPejk8If5DcLThI7hLY5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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(20, 10))\n", "\n", "ax1 = plt.subplot(1, 2, 1)\n", "sn.distplot(means_t_fprep['nosmooth'], label='fmriprep', ax=ax1)\n", "sn.distplot(means_t_feat['nosmooth'], label=r'\\texttt{feat}', ax=ax1)\n", "ax1.set_title('Without smoothing');\n", "\n", "\n", "ax2 = plt.subplot(1, 2, 2)\n", "sn.distplot(means_t_fprep['smoothed'], label='fmriprep', ax=ax2)\n", "sn.distplot(means_t_feat['smoothed'], label=r'\\texttt{feat}', ax=ax2)\n", "ax2.set_title('With smoothing');\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "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": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }