Comparing the Performance of US College Football Teams in the Web and on the Field

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    Comparing the Performance of US College Football Teams in the Web and on the Field - Presentation Transcript

    1. Comparing the Performance of US College Football Teams in the Web and on the Field Martin Klein Olena Hunsicker Michael L. Nelson mklein@cs.odu.edu koval_olena@yahoo.com mln@cs.odu.edu Old Dominion University Hypertext 2009 Torino, Italy 06/30/2009
    2. Naming Conventions 2
    3. Naming Conventions Football 2
    4. Naming Conventions Football Soccer 2
    5. Motivation 3
    6. Motivation • “Does Authority mean Quality?”[Amento00] 3
    7. Motivation • “Does Authority mean Quality?”[Amento00] • Link-based web page metrics can be used to estimate experts’ assessment of quality 3
    8. Motivation • “Does Authority mean Quality?”[Amento00] • Link-based web page metrics can be used to estimate experts’ assessment of quality • Lists compiled by experts are cool! 3
    9. Motivation • “Does Authority mean Quality?”[Amento00] • Link-based web page metrics can be used to estimate experts’ assessment of quality • Lists compiled by experts are cool! • Companies, schools, people, places, etc 3
    10. Motivation • “Does Authority mean Quality?”[Amento00] • Link-based web page metrics can be used to estimate experts’ assessment of quality • Lists compiled by experts are cool! • Companies, schools, people, places, etc • “Big 3” search engines play a central role in our lives 3
    11. Motivation • “Does Authority mean Quality?”[Amento00] • Link-based web page metrics can be used to estimate experts’ assessment of quality • Lists compiled by experts are cool! • Companies, schools, people, places, etc • “Big 3” search engines play a central role in our lives • “If I can’t find it in the top 10 it doesn’t exist in the web” 3
    12. Motivation • “Does Authority mean Quality?”[Amento00] • Link-based web page metrics can be used to estimate experts’ assessment of quality • Lists compiled by experts are cool! • Companies, schools, people, places, etc • “Big 3” search engines play a central role in our lives • “If I can’t find it in the top 10 it doesn’t exist in the web” • SEOs 3
    13. Motivation • “Does Authority mean Quality?”[Amento00] • Link-based web page metrics can be used to estimate experts’ assessment of quality • Lists compiled by experts are cool! • Companies, schools, people, places, etc • “Big 3” search engines play a central role in our lives • “If I can’t find it in the top 10 it doesn’t exist in the web” • SEOs Do expert rankings of real-world entities correlate with search engine ranking of corresponding web resources? 3
    14. Background • Expert ranking of real-world entities: • Collegiate football programs in the US • Associated Press (AP) poll • 65 sportswriters and broadcasters • USA Today Coaches poll • 63 college football head coaches • Published once a week, top 25 teams, 25-1 point system • “Big 3” search engines • Google, Yahoo and MSN Live (APIs) 4
    15. US College Football Season 2008 • 2008 season began on August 28th 2008 • Concluded January 8th 2009 • 18 instances of poll data: • Final polls from 2007 season (as a baseline) • 2008 pre-season polls • once for each of the 16 weeks of the 2008 season 5
    16. US College Football Season 2008 • 2008 season began on August 28th 2008 • Concluded January 8th 2009 • 18 instances of poll data: • Final polls from 2007 season (as a baseline) • 2008 pre-season polls • once for each of the 16 weeks of the 2008 season 5
    17. Mapping Resources to URLs 6
    18. Mapping Resources to URLs • Often impossible to distill the canonical URL for a football program 6
    19. Mapping Resources to URLs • Often impossible to distill the canonical URL for a football program • e.g. Virginia Tech college football returned 6
    20. Mapping Resources to URLs • Often impossible to distill the canonical URL for a football program • e.g. Virginia Tech college football returned 6
    21. Mapping Resources to URLs • Often impossible to distill the canonical URL for a football program • e.g. Virginia Tech college football returned • Official school page 6
    22. Mapping Resources to URLs • Often impossible to distill the canonical URL for a football program • e.g. Virginia Tech college football returned • Official school page • Commercial sports sites 6
    23. Mapping Resources to URLs • Often impossible to distill the canonical URL for a football program • e.g. Virginia Tech college football returned • Official school page • Commercial sports sites • Wikipedia 6
    24. Mapping Resources to URLs • Often impossible to distill the canonical URL for a football program • e.g. Virginia Tech college football returned • Official school page • Commercial sports sites • Wikipedia • Blogs, Fan sites, etc 6
    25. Mapping Resources to URLs • Query 3 search engine APIs for representative URLs • Query: schoolname+College+Football • e.g.: Ohio+State+College+Football • Aggregate the top 8 representative URLs (n = 1 .. 8) • Temporal aspect in mind: • Repeat query and renew aggregation weekly 7
    26. Ordinal Ranking of URLs from SE Queries 8
    27. Ordinal Ranking of URLs from SE Queries We are not interested in computing search engine’s absolute ranking for a particular URL (PR values) rank(U RLA ) = 0.92 rank(U RLB ) = 0.73 rank(U RLC ) = 0.42 rank(U RLD ) = 0.13 8
    28. Ordinal Ranking of URLs from SE Queries We are not interested in computing search engine’s absolute ranking for a particular URL (PR values) rank(U RLA ) = 0.92 rank(U RLB ) = 0.73 rank(U RLC ) = 0.42 rank(U RLD ) = 0.13 BUT We are determining that a search engine ranks URLs in order rank(U RLA ) ≥ rank(U RLB ) ≥ rank(U RLC ) ≥ rank(U RLD ) 8
    29. Ordinal Ranking of URLs from SE Queries We are not interested in computing search engine’s absolute ranking for a particular URL (PR values) rank(U RLA ) = 0.92 rank(U RLB ) = 0.73 rank(U RLC ) = 0.42 rank(U RLD ) = 0.13 BUT We are determining that a search engine ranks URLs in order rank(U RLA ) ≥ rank(U RLB ) ≥ rank(U RLC ) ≥ rank(U RLD ) distance(U RLA , U RLB ) = distance(U RLB , U RLC ) 8
    30. Ordinal Ranking of URLs from SE Queries 9
    31. Ordinal Ranking of URLs from SE Queries • Search engines enforce query restrictions (length, amount per day etc) 9
    32. Ordinal Ranking of URLs from SE Queries • Search engines enforce query restrictions (length, amount per day etc) • Build unbiased and overlapping queries 9
    33. Ordinal Ranking of URLs from SE Queries • Search engines enforce query restrictions (length, amount per day etc) • Build unbiased and overlapping queries • site and OR operators 9
    34. Ordinal Ranking of URLs from SE Queries • Search engines enforce query restrictions (length, amount per day etc) • Build unbiased and overlapping queries • site and OR operators • Variation of strand sort 9
    35. Ordinal Ranking of URLs from SE Queries • Search engines enforce query restrictions (length, amount per day etc) • Build unbiased and overlapping queries • site and OR operators • Variation of strand sort USC Georgia Ohio State Oklahoma Florida site:http://usctrojans.cstv.com/sports/m-footbl/usc-m-footbl-body.html OR site:http://uga.rivals.com/ OR site:http://sportsillustrated.cnn.com/football/ncaa/teams/ohiost/ OR site:http://www.soonersports.com/ OR site:http://www.gatorzone.com/ 9
    36. Weighting Ranked URLs • If real-world resources are mapped to more than one URL (n > 1) • Need to accumulate ranking score • Determine one final overall school score • Assign weights per URL depending on their rank P W eight = 1 − T P - Position of URL in result set T - Total number of URLs in the list (n * number of teams) 10
    37. Correlation Results Kendall Tau used to test for statistically significant (p<0.05) correlation 1.0 1.0 0.9 ● 0.9 0.8 0.8 ● ● ● ● 0.7 ● ● ● 0.7 ● ● ● ● ● 0.6 ● 0.6 ● 0.5 ● ● 0.5 0.4 ● ● ● Kendall Tau Kendall Tau ● 0.4 ● ● 0.3 ● ● ● ● 0.3 ● 0.2 ● ● 0.2 0.1 0 0.1 ● −0.1 0 −0.2 −0.1 −0.3 −0.2 Yahoo Yahoo −0.4 −0.3 ● Google ● Google −0.5 MSN MSN −0.4 P>0.05 P>0.05 ● 2007 W1 W3 W5 W7 W9 W11 W13 W15 2007 W1 W3 W5 W7 W9 W11 W13 W15 Time Intervals Time Intervals Top 10 AP Poll Top 10 USA Poll 11
    38. Correlation Results Kendall Tau used to test for statistically significant (p<0.05) correlation 1.0 1.0 0.9 0.9 0.8 0.8 ● 0.7 ● ● 0.7 ● 0.6 ● ● ● 0.6 0.5 ● Kendall Tau Kendall Tau ● ● 0.5 0.4 ● ● ● 0.4 0.3 ● ● ● ● 0.2 ● 0.3 ● ● ● ● ● ● ● ● ● ● 0.1 ● ● 0.2 ● 0 ● Yahoo Yahoo 0.1 ● Google −0.1 ● Google MSN MSN 0 P>0.05 −0.2 P>0.05 2007 W1 W3 W5 W7 W9 W11 W13 W15 2007 W1 W3 W5 W7 W9 W11 W13 W15 Time Intervals Time Intervals Top 25 AP Poll Top 25 USA Poll 12
    39. Correlation Results Kendall Tau used to test for statistically significant (p<0.05) correlation 1.0 1.0 0.9 0.9 0.8 0.8 ● 0.7 ● ● 0.7 ● 0.6 ● ● ● 0.6 0.5 ● Kendall Tau Kendall Tau ● ● 0.5 0.4 ● ● ● 0.4 0.3 ● ● ● ● 0.2 ● 0.3 ● ● ● ● ● ● ● ● ● ● 0.1 ● ● 0.2 ● 0 ● Yahoo Yahoo 0.1 ● Google −0.1 ● Google MSN MSN 0 P>0.05 −0.2 P>0.05 2007 W1 W3 W5 W7 W9 W11 W13 W15 2007 W1 W3 W5 W7 W9 W11 W13 W15 “Inertia” 25 USA Poll Time Intervals Time Intervals Top 25 AP Poll Top 12
    40. n-Values for Correlation Yahoo Yahoo ● Google ● Google MSN MSN P>0.05 P>0.05 ● ● 8 8 7 7 ● ● ● ● ● 6 6 n n ● ● ● ● ● 5 5 ● ● ● ● ● 4 4 ● ● ● ● ● ● ● 3 3 ● ● ● ● ● 2 ● 2 ● ● 1 1 2007 W1 W3 W5 W7 W9 W11 W13 W15 2007 W1 W3 W5 W7 W9 W11 W13 W15 Time Intervals Time Intervals Top 10 AP Poll Top 10 USA Poll 13
    41. n-Values for Correlation Yahoo Yahoo ● Google ● Google MSN MSN P>0.05 P>0.05 ● ● 8 8 ● ● ● ● ● 7 7 ● ● ● ● 6 6 n n ● ● 5 5 ● ● ● 4 4 ● ● ● ● ● ● ● ● ● ● 3 3 ● ● ● ● 2 ● 2 ● 1 1 2007 W1 W3 W5 W7 W9 W11 W13 W15 2007 W1 W3 W5 W7 W9 W11 W13 W15 Time Intervals Time Intervals Top 25 AP Poll Top 25 USA Poll 14
    42. n-Values for Correlation Yahoo Yahoo ● Google ● Google MSN MSN P>0.05 P>0.05 ● ● 8 8 ● ● ● ● ● 7 7 ● ● ● ● 6 6 n n ● ● 5 5 ● ● ● 4 4 ● ● ● ● ● ● ● ● ● ● 3 3 ● ● ● ● 2 ● 2 ● 1 1 2007 W1 W3 W5 W7 W9 W11 W13 W15 2007 W1 W3 W5 W7 W9 W11 W13 W15 Time Intervals Time Intervals Top 25 AP Poll n=2..6 Top 25 USA Poll 14
    43. Correlation of Overlapping URLs Over Time • 12 schools occur in all AP polls throughout the season • Given the “inertia”, by how much does the web trail? • Can we measure a “delayed correlation”? • Declare AP ranking for each week as separate “truth values” • Compute correlation between truth values and search engine ranking • Expect to see in increased correlation in the weeks following the truth value USC Georgia Ohio State Oklahoma Florida Missouri Texas Texas Tech Alabama BYU Penn State Utah 15
    44. Correlation of Overlapping URLs Over Time 1.0 1.0 1.0 1.0 1.0 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.5 0.5 0.5 0.5 0.5 ● ● ● ● ● ● ● ● ● correlation correlation correlation correlation correlation ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.0 0.0 0.0 0.0 0.0 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● −0.5 −0.5 −0.5 −0.5 −0.5 1 3 5 7 9 11 13 15 1 3 5 7 9 11 13 15 1 3 5 7 9 11 13 15 1 3 5 7 9 11 13 15 1 3 5 7 9 11 13 15 delta in weeks delta in weeks delta in weeks delta in weeks delta in weeks 1.0 1.0 1.0 1.0 1.0 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.5 0.5 0.5 0.5 0.5 ● ● ● ● ● ● ● ● correlation correlation correlation correlation correlation ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.0 0.0 0.0 0.0 0.0 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● −0.5 −0.5 −0.5 −0.5 −0.5 1 3 5 7 9 11 13 15 1 3 5 7 9 11 13 15 1 3 5 7 9 11 13 15 1 3 5 7 9 11 13 15 1 3 5 7 9 11 13 15 delta in weeks delta in weeks delta in weeks delta in weeks delta in weeks 1.0 1.0 1.0 1.0 1.0 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.5 0.5 0.5 0.5 0.5 ● ● ● ● ● ● ● ● ● ● ● ● ● correlation correlation correlation correlation correlation ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.0 0.0 0.0 0.0 0.0 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● −0.5 −0.5 −0.5 −0.5 −0.5 1 3 5 7 9 11 13 15 1 3 5 7 9 11 13 15 1 3 5 7 9 11 13 15 1 3 5 7 9 11 13 15 1 3 5 7 9 11 13 15 delta in weeks delta in weeks delta in weeks delta in weeks delta in weeks n=8 16
    45. Correlation between Attendance and SE and Polls Attendance vs AP Polls Attendance vs USA Polls 1.0 USA 1.0 ● ● ● ● ● ● ● AP ● ● ● ● Today ● ● ● ● ● ● ● ● ● ● 0.5 0.5 ● ● ● ● ● correlation correlation ● ● ● ● ● ● ● ● ● ● 0.0 0.0 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● −0.5 −0.5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 weeks weeks n=1 n=6 1.0 1.0 Google Google ● ● ● ● ● ● ● ● ● ● ● ● ● n=1 n=6 ● ● ● ● 0.5 0.5 ● ● ● correlation correlation ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.0 0.0 ● ● ● ● ● ● ● −0.5 −0.5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 delta in weeks delta in weeks 17
    46. Concluding Remarks • Inspired by “Does Authority mean Quality?” we asked “Does Quality mean Authority?” • High correlations for the last seasons final rankings and rankings early in the season • Correlation decreases because of “inertia” • No correlation between attendance and search engine rankings 18
    47. Concluding Remarks • Inspired by “Does Authority mean Quality?” we asked “Does Quality mean Authority?” • High correlations for the last seasons final rankings and rankings early in the season • Correlation decreases because of “inertia” • No correlation between attendance and search engine rankings • Better query for mapping URLs e.g., include nicknames such as “Hokies” 18
    48. Concluding Remarks • Inspired by “Does Authority mean Quality?” we asked “Does Quality mean Authority?” • High correlations for the last seasons final rankings and rankings early in the season • Correlation decreases because of “inertia” • No correlation between attendance and search engine rankings • Better query for mapping URLs e.g., include nicknames such as “Hokies” • Since link based metrics seem to slow, investigate more dynamic metrics such as magnitude of search results, fan based message board activity, etc. 18
    49. Although authority means quality, quality does not necessarily mean authority - at least not immediately. 19
    50. Although authority means quality, quality does not necessarily mean authority - at least not immediately. Comparing the Performance of US College Football Teams in the Web and on the Field Questions? Martin Klein Olena Hunsicker Michael L. Nelson mklein@cs.odu.edu koval_olena@yahoo.com mln@cs.odu.edu Old Dominion University 19
    51. Finding the Optimal n-Value n=1 n=2 n=3 1.0 1.0 1.0 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.5 0.5 0.5 ● ● ● ● correlation correlation correlation ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.0 0.0 0.0 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● −0.5 −0.5 −0.5 1 3 5 7 9 11 13 15 1 3 5 7 9 11 13 15 1 3 5 7 9 11 13 15 weeks weeks weeks n=4 n=5 n=6 1.0 1.0 1.0 ● ● ● ● ● ● ● ● ● ● ● 0.5 0.5 0.5 ● ● ● ● ● ● ● ● ● ● correlation correlation correlation ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.0 0.0 0.0 ● ● ● ● ● ● ● ● ● ● ● ● ● −0.5 −0.5 −0.5 1 3 5 7 9 11 13 15 1 3 5 7 9 11 13 15 1 3 5 7 9 11 13 15 weeks weeks weeks n=7 n=8 1.0 1.0 1.0 ● ● ● ● ● ● mean tau and p 0.5 0.5 0.5 ● ● ● ● ● ● ● correlation correlation ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.0 0.0 0.0 ● ● ● ● ● ● −0.5 −0.5 −0.5 1 3 5 7 9 11 13 15 1 3 5 7 9 11 13 15 1 2 3 4 5 6 7 8 weeks weeks n 20
    52. Finding the Optimal n-Value week 1 week 2 week 3 week 4 week 5 1.0 1.0 1.0 1.0 1.0 0.8 0.8 0.8 0.8 0.8 ● ● 0.6 0.6 0.6 0.6 0.6 mean values mean values mean values mean values mean values ● ● ● ● ● ● ● ● ● 0.4 0.4 0.4 0.4 0.4 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.2 0.2 0.2 0.2 0.2 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● −0.2 −0.2 −0.2 −0.2 −0.2 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 n n n n n week 6 week 7 week 8 week 9 week 10 1.0 1.0 1.0 1.0 1.0 0.8 0.8 0.8 0.8 0.8 ● 0.6 0.6 0.6 0.6 0.6 ● ● ● mean values mean values mean values mean values mean values ● ● ● ● ● ● ● ● ● ● ● ● ● 0.4 0.4 0.4 0.4 0.4 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.2 0.2 0.2 0.2 0.2 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● −0.2 −0.2 −0.2 −0.2 −0.2 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 n n n n n week 11 week 12 week 13 week 14 week 15 1.0 1.0 1.0 1.0 1.0 0.8 0.8 0.8 0.8 0.8 ● ● 0.6 0.6 0.6 0.6 0.6 mean values mean values mean values mean values mean values ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.4 0.4 0.4 0.4 0.4 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0.2 0.2 0.2 0.2 0.2 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● −0.2 −0.2 −0.2 −0.2 −0.2 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 n n n n n 21
    53. Change in URL Mapping Over Time 40 ● ● ● ● ● 30 ● ● ● ● ● ● Number of URLs ● ● ● ● ● ● ● 20 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 10 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0 ● ● ● 1 2 3 4 5 6 7 8 N −− Number of URLs per School 22
    54. Change in URL Mapping Over Time solid line - union dottet line- intersection 40 ● ● ● ● ● 30 ● ● ● ● ● ● Number of URLs ● ● ● ● ● ● ● 20 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 10 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0 ● ● ● 1 2 3 4 5 6 7 8 N −− Number of URLs per School 22

    + Old Dominion UniversityOld Dominion University, 4 months ago

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