├── images ├── time-error.png ├── time-forecast.png ├── time-components.png ├── time-componentsCI.png └── time-errorCompare.png ├── scrapWiki.py ├── README.md └── data └── Daylight_saving_time.csv /images/time-error.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/algobeans/Time-Series-Forecasting/HEAD/images/time-error.png -------------------------------------------------------------------------------- /images/time-forecast.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/algobeans/Time-Series-Forecasting/HEAD/images/time-forecast.png -------------------------------------------------------------------------------- /images/time-components.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/algobeans/Time-Series-Forecasting/HEAD/images/time-components.png -------------------------------------------------------------------------------- /images/time-componentsCI.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/algobeans/Time-Series-Forecasting/HEAD/images/time-componentsCI.png -------------------------------------------------------------------------------- /images/time-errorCompare.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/algobeans/Time-Series-Forecasting/HEAD/images/time-errorCompare.png -------------------------------------------------------------------------------- /scrapWiki.py: -------------------------------------------------------------------------------- 1 | import json 2 | import urllib2 3 | import pandas as pd 4 | from optparse import OptionParser 5 | 6 | parser = OptionParser() 7 | (options, args) = parser.parse_args() 8 | 9 | d = list() 10 | # for each year 11 | for i in range(2008,2017): 12 | # for each month 13 | for j in range(01, 13): 14 | # get url 15 | url = "http://stats.grok.se/json/en/"+str(i)+str(j).zfill(2)+"/"+args[0] 16 | # extract json data 17 | dfull = json.load(urllib2.urlopen(url)) 18 | dviews = dfull["daily_views"].items() 19 | # append data to main list 20 | d = d + dviews 21 | 22 | # convert list of tuples to dataframe 23 | df = pd.DataFrame(d, columns=['ds', 'y']) 24 | 25 | # sort by date 26 | df = df.sort_values(by='ds') 27 | 28 | # remove invalid dates 29 | df.ds = pd.to_datetime(df.ds, errors='coerce') 30 | df = df.dropna() 31 | 32 | # save as csv 33 | filename = args[0]+".csv" 34 | df.to_csv(filename, index=False) 35 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # Time Series Analysis with a Generaized Additive Model 2 | 3 | To study page view trends for a Wikipedia article on Daylight Saving Time, we first used a [Python script to extract the data from a Wikipedia database](https://github.com/algobeans/Time-Series-Forecasting/blob/master/scrapWiki.py). Next, we used a GAM package called *Prophet* published by Facebook researchers to conduct our [time series analysis in Python](https://github.com/algobeans/Time-Series-Forecasting/blob/master/Time%20Series%20Analysis.ipynb). The package is also available in R. 4 | 5 | Accompanying tutorial here: https://algobeans.com/2017/04/04/laymans-tutorial-time-series-analysis/ 6 | 7 | Overall, annual, weekly and holiday trends: 8 | 9 | ![Component trends predicting page views of DST Wikipedia article.](/images/time-components.png) 10 | 11 | Validating the model with simulated historical forecasts: 12 | 13 | ![Simulated historical forecasts of DST's Wikipedia page views.](/images/time-forecast.png) 14 | 15 | Examining error rates: 16 | 17 | ![Prediction errors across the forecast horizon. The red line represents the mean absolute error across the 11 simulated forecasts, while the black line is a smoothed trend of that error.](images/time-error.png) 18 | 19 | Comparing error rates across models to check effects of parameters: 20 | 21 | ![Comparison of prediction errors resulting from different prior values.](images/time-errorCompare.png) 22 | 23 | 24 | References: 25 | - Wikipedia page views data: http://stats.grok.se/ 26 | - Facebook *Prophet* package: https://facebookincubator.github.io/prophet/ 27 | -------------------------------------------------------------------------------- /data/Daylight_saving_time.csv: -------------------------------------------------------------------------------- 1 | ds,y 2 | 2008-01-01,1480 3 | 2008-01-02,2383 4 | 2008-01-03,2473 5 | 2008-01-04,2248 6 | 2008-01-05,1639 7 | 2008-01-06,1720 8 | 2008-01-07,2418 9 | 2008-01-08,2223 10 | 2008-01-09,2135 11 | 2008-01-10,2283 12 | 2008-01-11,2209 13 | 2008-01-12,1410 14 | 2008-01-13,1585 15 | 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2009-10-30,33813 650 | 2009-10-31,32375 651 | 2009-11-01,103645 652 | 2009-11-02,32720 653 | 2009-11-03,17569 654 | 2009-11-04,11534 655 | 2009-11-05,9142 656 | 2009-11-06,6964 657 | 2009-11-07,3764 658 | 2009-11-08,4118 659 | 2009-11-09,5317 660 | 2009-11-10,8309 661 | 2009-11-11,8305 662 | 2009-11-12,5565 663 | 2009-11-13,4456 664 | 2009-11-14,2905 665 | 2009-11-15,0 666 | 2009-11-16,3886 667 | 2009-11-17,3219 668 | 2009-11-18,2957 669 | 2009-11-19,2989 670 | 2009-11-20,2590 671 | 2009-11-21,1924 672 | 2009-11-22,0 673 | 2009-11-23,2686 674 | 2009-11-24,2381 675 | 2009-11-25,2310 676 | 2009-11-26,2164 677 | 2009-11-27,3202 678 | 2009-11-28,2127 679 | 2009-11-29,2131 680 | 2009-11-30,3064 681 | 2009-12-01,2793 682 | 2009-12-02,3390 683 | 2009-12-03,2909 684 | 2009-12-04,2432 685 | 2009-12-05,1688 686 | 2009-12-06,1484 687 | 2009-12-07,2401 688 | 2009-12-08,2088 689 | 2009-12-09,2527 690 | 2009-12-10,2227 691 | 2009-12-11,1999 692 | 2009-12-12,1988 693 | 2009-12-13,1442 694 | 2009-12-14,2014 695 | 2009-12-15,2029 696 | 2009-12-16,2033 697 | 2009-12-17,2147 698 | 2009-12-18,1942 699 | 2009-12-19,1354 700 | 2009-12-20,1383 701 | 2009-12-21,2156 702 | 2009-12-22,2121 703 | 2009-12-23,1959 704 | 2009-12-24,1535 705 | 2009-12-25,1603 706 | 2009-12-26,1493 707 | 2009-12-27,1489 708 | 2009-12-28,2051 709 | 2009-12-29,1874 710 | 2009-12-30,1884 711 | 2009-12-31,2112 712 | 2010-01-01,1955 713 | 2010-01-02,1668 714 | 2010-01-03,1618 715 | 2010-01-04,2278 716 | 2010-01-05,2300 717 | 2010-01-06,2629 718 | 2010-01-07,2739 719 | 2010-01-08,2285 720 | 2010-01-09,1870 721 | 2010-01-10,1730 722 | 2010-01-11,3026 723 | 2010-01-12,2844 724 | 2010-01-13,2785 725 | 2010-01-14,2680 726 | 2010-01-15,2560 727 | 2010-01-16,1738 728 | 2010-01-17,1813 729 | 2010-01-18,2769 730 | 2010-01-19,3016 731 | 2010-01-20,2581 732 | 2010-01-21,2615 733 | 2010-01-22,2521 734 | 2010-01-23,0 735 | 2010-01-24,0 736 | 2010-01-25,2920 737 | 2010-01-26,2841 738 | 2010-01-27,2670 739 | 2010-01-28,2586 740 | 2010-01-29,2244 741 | 2010-01-30,1844 742 | 2010-01-31,2081 743 | 2010-02-01,3190 744 | 2010-02-02,3084 745 | 2010-02-03,2923 746 | 2010-02-04,3250 747 | 2010-02-05,2793 748 | 2010-02-06,2076 749 | 2010-02-07,2195 750 | 2010-02-08,0 751 | 2010-02-09,3630 752 | 2010-02-10,3308 753 | 2010-02-11,3275 754 | 2010-02-12,2737 755 | 2010-02-13,2041 756 | 2010-02-14,2389 757 | 2010-02-15,3521 758 | 2010-02-16,3639 759 | 2010-02-17,3807 760 | 2010-02-18,4238 761 | 2010-02-19,3507 762 | 2010-02-20,2946 763 | 2010-02-21,3964 764 | 2010-02-22,5438 765 | 2010-02-23,4719 766 | 2010-02-24,4156 767 | 2010-02-25,4114 768 | 2010-02-26,4422 769 | 2010-02-27,3872 770 | 2010-02-28,4968 771 | 2010-03-01,9553 772 | 2010-03-02,8666 773 | 2010-03-03,7547 774 | 2010-03-04,8560 775 | 2010-03-05,9454 776 | 2010-03-06,15044 777 | 2010-03-07,16977 778 | 2010-03-08,15722 779 | 2010-03-09,16821 780 | 2010-03-10,17083 781 | 2010-03-11,19426 782 | 2010-03-12,32812 783 | 2010-03-13,68398 784 | 2010-03-14,176409 785 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| 2015-04-11,2095 2639 | 2015-04-12,1923 2640 | 2015-04-13,3010 2641 | 2015-04-14,3433 2642 | 2015-04-15,3009 2643 | 2015-04-16,2730 2644 | 2015-04-17,2331 2645 | 2015-04-18,2569 2646 | 2015-04-19,1733 2647 | 2015-04-20,2870 2648 | 2015-04-21,2999 2649 | 2015-04-22,3735 2650 | 2015-04-23,2540 2651 | 2015-04-24,2404 2652 | 2015-04-25,1494 2653 | 2015-04-26,1653 2654 | 2015-04-27,2419 2655 | 2015-04-28,4008 2656 | 2015-04-29,2932 2657 | 2015-04-30,2667 2658 | 2015-05-01,2034 2659 | 2015-05-02,1571 2660 | 2015-05-03,3077 2661 | 2015-05-04,2504 2662 | 2015-05-05,2377 2663 | 2015-05-06,2753 2664 | 2015-05-07,2764 2665 | 2015-05-08,2279 2666 | 2015-05-09,1793 2667 | 2015-05-10,1729 2668 | 2015-05-11,4014 2669 | 2015-05-12,2697 2670 | 2015-05-13,2269 2671 | 2015-05-14,2148 2672 | 2015-05-15,2236 2673 | 2015-05-16,1385 2674 | 2015-05-17,1349 2675 | 2015-05-18,2213 2676 | 2015-05-19,2464 2677 | 2015-05-20,2295 2678 | 2015-05-21,2298 2679 | 2015-05-22,2009 2680 | 2015-05-23,1417 2681 | 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