{"id":1883,"date":"2015-10-13T10:36:49","date_gmt":"2015-10-13T10:36:49","guid":{"rendered":"http:\/\/www.tennisabstract.com\/blog\/?p=1883"},"modified":"2015-10-13T10:36:49","modified_gmt":"2015-10-13T10:36:49","slug":"digging-out-of-the-holes-of-0-40-and-15-40","status":"publish","type":"post","link":"https:\/\/www.tennisabstract.com\/blog\/2015\/10\/13\/digging-out-of-the-holes-of-0-40-and-15-40\/","title":{"rendered":"Digging Out of the Holes of 0-40 and 15-40"},"content":{"rendered":"<p>In the men&#8217;s professional game, serving at 0-40 isn&#8217;t a death sentence, but it isn&#8217;t a good place to be. An average player wins about 65% of service points, and at that rate, his chance of coming back from 0-40 is just a little better than one in five.<\/p>\n<p>Some players are better than others at executing this sort of comeback. <a href=\"http:\/\/www.tennisabstract.com\/cgi-bin\/player.cgi?p=TommyRobredo\">Tommy Robredo<\/a>, for instance, has come back from 0-40 nearly 60% more often than we&#8217;d expect, while <a href=\"http:\/\/www.tennisabstract.com\/cgi-bin\/player.cgi?p=SamQuerrey\">Sam Querrey<\/a> digs out of the 0-40 hole one-third less often than we would predict.<\/p>\n<p>Measuring a player&#8217;s success rate in these scenarios isn&#8217;t simply a matter of counting up 0-40 games. That&#8217;s what we saw <a href=\"http:\/\/www.atpworldtour.com\/en\/news\/federer-clutch-serving-infosys-2015\">on the ATP official site<\/a> last week, and it&#8217;s woefully inadequate. That article marvels at <a href=\"http:\/\/www.tennisabstract.com\/cgi-bin\/player.cgi?p=IvoKarlovic\">Ivo Karlovic<\/a>&#8216;s &#8220;clutch&#8221; accomplishments from 0-40 and 15-40, when we could easily have guessed that Ivo would lead just about any serving category. Big serving isn&#8217;t clutch if it&#8217;s what you always do.<\/p>\n<p>Statistics are only valuable in context, and that is particularly true in tennis. Simply counting 0-40 games and reporting the results hides a huge amount of potential insight. Whether a player wins or loses (a game, a set, a match, or a stretch of matches) is only the first question. To deliver any kind of meaningful analysis, we need to adjust those results for the competition and consider what we already know about the players we&#8217;re studying.<\/p>\n<p>Rather than tear apart that article, though, let&#8217;s do the analysis correctly.<\/p>\n<p>The number of times a player comes back from 0-40 or 15-40 isn&#8217;t what&#8217;s important. As we&#8217;ve seen, big servers will dominate those categories. That doesn&#8217;t tell us who is particularly effective (or, dare we say, &#8220;clutch&#8221;) in such a situation, it only identifies the best servers. What matters is how often players come back compared to how often we would expect them to, taking into consideration their serving ability.<\/p>\n<p>Karlovic is an instructive example. Over the last few years&#8211;the time span available in <a href=\"https:\/\/github.com\/JeffSackmann\/tennis_pointbypoint\">this dataset<\/a> of point-by-point match records&#8211;Ivo has gone down 0-40 56 times, holding 17 of those games, a rate of 30.4%. That&#8217;s third-best on tour, behind <a href=\"http:\/\/www.tennisabstract.com\/cgi-bin\/player.cgi?p=JohnIsner\">John Isner<\/a> and <a href=\"http:\/\/www.tennisabstract.com\/cgi-bin\/player.cgi?p=SamuelGroth\">Samuel Groth<\/a>. But compared to how well we would\u00a0<em>expect<\/em>\u00a0Karlovic to serve, he&#8217;s\u00a0only 7% better than neutral, right in the middle of the ATP pack.<\/p>\n<p>Before diving into the results, a few more notes on methodology. For each 0-40 or 15-40 game, I calculated the server&#8217;s rate of service points won in that match. Since we would expect 0-40 games to occur more often in matches with good returners, in-match rates seem more accurate than season-long aggregates. Given the in-match rate of serve points won, I then <a href=\"https:\/\/github.com\/JeffSackmann\/tennis_misc\/blob\/master\/tennisGameProbability.py\">determined the odds<\/a> that the server would come back from the 0-40 or 15-40 score. For each game, then, we have a result (came back or didn&#8217;t come back) and an estimate of the comeback&#8217;s likelihood. Combining both numbers for all of a player&#8217;s service games tells us how effective he was at these scores.<\/p>\n<p>For 30 of the players best represented in the dataset, here are their results at 0-40, showing the number of games, the number of successful comebacks, the rate of successful comebacks, and the degree to which the player exceeded expectations from 0-40:<\/p>\n<pre>Player                  0-40  0-40 W  0-40 W%  W\/Exp  \nTommy Robredo            110      30    27.3%   1.59  \nDenis Istomin            114      26    22.8%   1.36  \nJohn Isner                87      31    35.6%   1.34  \nGuillermo Garcia-Lopez   161      29    18.0%   1.32  \nKevin Anderson           130      38    29.2%   1.28  \nBernard Tomic            110      24    21.8%   1.25  \nFernando Verdasco        141      30    21.3%   1.17  \nRafael Nadal             140      32    22.9%   1.15  \nKei Nishikori            122      23    18.9%   1.15  \nMarin Cilic              125      26    20.8%   1.14  \n                                                      \nPlayer                  0-40  0-40 W  0-40 W%  W\/Exp  \nJo-Wilfried Tsonga       124      29    23.4%   1.14  \nNovak Djokovic           124      34    27.4%   1.12  \nAndreas Seppi            145      24    16.6%   1.09  \nGrigor Dimitrov          115      22    19.1%   1.08  \nPhilipp Kohlschreiber    146      28    19.2%   1.08  \nRoger Federer            107      26    24.3%   1.07  \nIvo Karlovic              56      17    30.4%   1.07  \nSantiago Giraldo         113      18    15.9%   1.06  \nAlexandr Dolgopolov      141      25    17.7%   1.03  \nMilos Raonic              82      23    28.0%   1.01  \n                                                      \nPlayer                  0-40  0-40 W  0-40 W%  W\/Exp  \nTomas Berdych            149      30    20.1%   1.01  \nJeremy Chardy            122      21    17.2%   0.98  \nFeliciano Lopez          136      26    19.1%   0.97  \nFabio Fognini            211      24    11.4%   0.97  \nMikhail Youzhny          155      18    11.6%   0.92  \nDavid Ferrer             203      32    15.8%   0.89  \nRichard Gasquet          152      25    16.4%   0.87  \nAndy Murray              164      24    14.6%   0.80  \nGilles Simon             158      16    10.1%   0.72  \nSam Querrey               84      12    14.3%   0.68<\/pre>\n<p>As I mentioned above, Robredo has been incredibly effective in these situations, coming back from 0-40 30 times instead of the 19 times we would have expected. Some big servers, such as Isner and <a href=\"http:\/\/www.tennisabstract.com\/cgi-bin\/player.cgi?p=KevinAnderson\">Kevin Anderson<\/a>, are even better than their well-known weapons would leads us to expect, while others, such as Karlovic and <a href=\"http:\/\/www.tennisabstract.com\/cgi-bin\/player.cgi?p=MilosRaonic\">Milos Raonic<\/a>,\u00a0aren&#8217;t noticeably more effective at 0-40 than they are in general.<\/p>\n<p>Many of these extremes don&#8217;t hold up when we turn to the results from 15-40. Quite a few more games reach 15-40 than 0-40, so the more limited variation at 15-40 suggests that many of the extreme results from 0-40 can be ascribed to an inadequate sample. For instance, Robredo&#8211;our 0-40 hero&#8211;falls to neutral at 15-40. Here is the complete list:<\/p>\n<pre>Player                  15-40  15-40 W  15-40 W%  W\/Exp  \nJohn Isner                238      122     51.3%   1.33  \nMilos Raonic              215       98     45.6%   1.18  \nFeliciano Lopez           304      108     35.5%   1.17  \nJo-Wilfried Tsonga        301      119     39.5%   1.17  \nDenis Istomin             304      101     33.2%   1.17  \nRafael Nadal              320      118     36.9%   1.16  \nIvo Karlovic              148       68     45.9%   1.15  \nKevin Anderson            338      132     39.1%   1.15  \nGuillermo Garcia-Lopez    405      106     26.2%   1.14  \nAndreas Seppi             396      113     28.5%   1.12  \n                                                         \nPlayer                  15-40  15-40 W  15-40 W%  W\/Exp  \nBernard Tomic             273       86     31.5%   1.12  \nKei Nishikori             298       96     32.2%   1.10  \nNovak Djokovic            348      132     37.9%   1.07  \nRichard Gasquet           325      106     32.6%   1.07  \nRoger Federer             281      109     38.8%   1.07  \nFernando Verdasco         306       94     30.7%   1.06  \nPhilipp Kohlschreiber     352      110     31.3%   1.06  \nAndy Murray               431      135     31.3%   1.06  \nSantiago Giraldo          331       86     26.0%   1.05  \nTomas Berdych             398      131     32.9%   1.05  \n                                                         \nPlayer                  15-40  15-40 W  15-40 W%  W\/Exp  \nMarin Cilic               357      109     30.5%   1.05  \nSam Querrey               244       78     32.0%   1.04  \nJeremy Chardy             300       91     30.3%   1.04  \nFabio Fognini             422       98     23.2%   1.03  \nTommy Robredo             285       78     27.4%   0.99  \nGrigor Dimitrov           307       89     29.0%   0.99  \nDavid Ferrer              498      138     27.7%   0.98  \nAlexandr Dolgopolov       299       77     25.8%   0.95  \nMikhail Youzhny           339       77     22.7%   0.94  \nGilles Simon              426       93     21.8%   0.91<\/pre>\n<p>The big servers are better represented at the top of this ranking. Even though Isner is expected to come back from 15-40 nearly 40% of the time&#8211;better than almost anyone on tour&#8211;he exceeds that expectation by one-third, far more than anyone else considered here.<\/p>\n<p>Finally, let&#8217;s look at comebacks from 0-30:<\/p>\n<pre>Player                  0-30  0-30 W  0-30 W%  W\/Exp  \nJohn Isner               338     229    67.8%   1.19  \nBernard Tomic            299     146    48.8%   1.15  \nGrigor Dimitrov          342     166    48.5%   1.11  \nNovak Djokovic           409     235    57.5%   1.10  \nSantiago Giraldo         344     142    41.3%   1.10  \nFernando Verdasco        373     175    46.9%   1.10  \nRafael Nadal             376     194    51.6%   1.09  \nTomas Berdych            492     262    53.3%   1.09  \nTommy Robredo            296     132    44.6%   1.08  \nRoger Federer            344     193    56.1%   1.08  \n                                                      \nPlayer                  0-30  0-30 W  0-30 W%  W\/Exp  \nFeliciano Lopez          326     161    49.4%   1.07  \nAlexandr Dolgopolov      347     154    44.4%   1.07  \nMarin Cilic              378     179    47.4%   1.06  \nJo-Wilfried Tsonga       357     185    51.8%   1.06  \nGuillermo Garcia-Lopez   380     146    38.4%   1.06  \nIvo Karlovic             186     118    63.4%   1.04  \nPhilipp Kohlschreiber    395     185    46.8%   1.03  \nDenis Istomin            314     135    43.0%   1.03  \nKei Nishikori            341     145    42.5%   1.03  \nDavid Ferrer             529     227    42.9%   1.02  \n                                                      \nPlayer                  0-30  0-30 W  0-30 W%  W\/Exp  \nKevin Anderson           361     181    50.1%   1.02  \nMikhail Youzhny          390     142    36.4%   1.00  \nAndy Murray              419     185    44.2%   1.00  \nAndreas Seppi            418     164    39.2%   0.99  \nJeremy Chardy            316     132    41.8%   0.99  \nMilos Raonic             246     139    56.5%   0.99  \nFabio Fognini            478     153    32.0%   0.99  \nSam Querrey              292     131    44.9%   0.97  \nGilles Simon             442     155    35.1%   0.96  \nRichard Gasquet          370     159    43.0%   0.95<\/pre>\n<p>Isner still stands at the top of the leaderboard, while <a href=\"http:\/\/www.tennisabstract.com\/cgi-bin\/player.cgi?p=BernardTomic\">Bernard Tomic<\/a> and <a href=\"http:\/\/www.tennisabstract.com\/cgi-bin\/player.cgi?p=GrigorDimitrov\">Grigor Dimitrov<\/a> give us a mild surprise by filling out the top three. Again, as the sample size increases, the variation decreases even further, illustrating that, over the long term, players tend to serve about as well at one score as they do at any other.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In the men&#8217;s professional game, serving at 0-40 isn&#8217;t a death sentence, but it isn&#8217;t a good place to be. An average player wins about 65% of service points, and at that rate, his chance of coming back from 0-40 is just a little better than one in five. Some players are better than others &hellip; <a href=\"https:\/\/www.tennisabstract.com\/blog\/2015\/10\/13\/digging-out-of-the-holes-of-0-40-and-15-40\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Digging Out of the Holes of 0-40 and 15-40<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[18,96,105],"tags":[],"class_list":["post-1883","post","type-post","status-publish","format-standard","hentry","category-clutch","category-research","category-serve-statistics"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/www.tennisabstract.com\/blog\/wp-json\/wp\/v2\/posts\/1883","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.tennisabstract.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.tennisabstract.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.tennisabstract.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.tennisabstract.com\/blog\/wp-json\/wp\/v2\/comments?post=1883"}],"version-history":[{"count":0,"href":"https:\/\/www.tennisabstract.com\/blog\/wp-json\/wp\/v2\/posts\/1883\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.tennisabstract.com\/blog\/wp-json\/wp\/v2\/media?parent=1883"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.tennisabstract.com\/blog\/wp-json\/wp\/v2\/categories?post=1883"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.tennisabstract.com\/blog\/wp-json\/wp\/v2\/tags?post=1883"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}