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Created April 13, 2015 14:57
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Time series plot for measles incidence
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline\n",
"import pandas as pd\n",
"import seaborn as sns"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Data from https://www.tycho.pitt.edu/l1advanced.php#results"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\"Weekly Measles Incidence, 1928-2003\"\r\n",
"\"Data provided by Project Tycho, Data Version 1.0.0, released 28 November 2013.\"\r\n",
"YEAR,WEEK,ALABAMA,ALASKA,ARIZONA,ARKANSAS,CALIFORNIA,COLORADO,CONNECTICUT,DELAWARE,DISTRICT OF COLUMBIA,FLORIDA,GEORGIA,HAWAII,IDAHO,ILLINOIS,INDIANA,IOWA,KANSAS,KENTUCKY,LOUISIANA,MAINE,MARYLAND,MASSACHUSETTS,MICHIGAN,MINNESOTA,MISSISSIPPI,MISSOURI,MONTANA,NEBRASKA,NEVADA,NEW HAMPSHIRE,NEW JERSEY,NEW MEXICO,NEW YORK,NORTH CAROLINA,NORTH DAKOTA,OHIO,OKLAHOMA,OREGON,PENNSYLVANIA,RHODE ISLAND,SOUTH CAROLINA,SOUTH DAKOTA,TENNESSEE,TEXAS,UTAH,VERMONT,VIRGINIA,WASHINGTON,WEST VIRGINIA,WISCONSIN,WYOMING\r\n",
"1928,1,3.67,-,1.90,4.11,1.38,8.38,4.50,8.58,-,0.21,1.17,-,-,0.50,1.34,0.16,0.81,3.08,1.89,4.52,10.87,25.66,5.68,0.31,-,1.19,0.18,1.60,-,-,3.55,14.90,7.60,47.86,-,2.51,4.86,4.91,6.97,1.18,42.04,5.69,22.03,1.18,0.40,0.28,-,14.83,3.36,1.54,0.91\r\n"
]
}
],
"source": [
"!head -n 4 MEASLES_Incidence_1928-2003_20150413093130.csv"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"measles = pd.read_csv('MEASLES_Incidence_1928-2003_20150413093130.csv', skiprows=2,)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from isoweek import Week"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [],
"source": [
"measles.index = pd.DatetimeIndex([Week(*t).monday() for t in zip(measles.YEAR, measles.WEEK)])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"measles = measles.drop(['YEAR', 'WEEK'], 1)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"measles = measles.convert_objects(convert_numeric=True) "
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"by_year = (measles + 1).groupby(pd.TimeGrouper(freq='A')).mean()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"fl_m = by_year.T.as_matrix().flatten()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"fl_y = list(by_year.index) * by_year.shape[1]"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"data = pd.DataFrame({'year': map(lambda s: s.year, fl_y), 'incidence': fl_m})"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import statsmodels.formula.api as smf"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"model = smf.ols('np.log10(incidence) ~ bs(year, df=10, degree=3, include_intercept=True)', data=data).fit()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"data = data.sort('year')"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"yy = model.predict(data)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
"<matplotlib.figure.Figure at 0x103782b50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.set_style('whitegrid');\n",
"sns.set_context('poster');\n",
"\n",
"year_int = by_year.copy()\n",
"year_int.index = by_year.index.map(lambda s: s.year)\n",
"np.log10(year_int).plot(style='.', legend=False, alpha=.5);\n",
"\n",
"plt.plot(data.year, yy, lw=10, c='w');\n",
"plt.plot(data.year, yy, lw=5);\n",
"\n",
"plt.axvline(1961, c='k', ls='--');\n",
"\n",
"sns.axlabel('Year', 'log10(Incidence)');\n",
"\n",
"plt.text(1962, 1.7, 'Measles Vaccine introduced', size=12);\n",
"plt.title('Measles incidence over time');"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.9"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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