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": [ | |
{ | |
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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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