{"id":94,"date":"2020-10-14T13:37:54","date_gmt":"2020-10-14T13:37:54","guid":{"rendered":"https:\/\/statcorner.com\/?page_id=94"},"modified":"2020-10-14T14:31:59","modified_gmt":"2020-10-14T14:31:59","slug":"what-is-wrc","status":"publish","type":"page","link":"https:\/\/statcorner.com\/mlb\/stats\/wrc-and-wrc-plus","title":{"rendered":"What are wRC and wRC+?"},"content":{"rendered":"<h1><span style=\"font-weight: 400;\">wRC and wRC+ Definitions<\/span><\/h1>\n<p><span style=\"font-weight: 400;\">It\u2019s easy to make the game more complicated than it needs to be, but when a batter steps to the plate, he really has one overall goal to accomplish: to create runs. Actions which help create runs include getting hits, drawing walks, and more. On the other side, actions which harm a team\u2019s opportunity to score runs include ground outs, fly outs, and of course, strikeouts.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">It\u2019s against this backdrop that we introduce two statistics: wRC and wRC+. The abbreviation \u201cwRC\u201d stands for Weighted Runs Created. These stats are based on an earlier stat simply called Runs Created, which was developed by Bill James. The Runs Created version was typically used to assess how many runs a team would be expected to score, but it was also used occasionally to evaluate players. wRC and wRC+ improve on this earlier version by adding weights to specific outcomes in order to more fairly value performance. For instance, a double with worth more than a single, but by how much? The weights used by these stats make sure each type of offensive performance receives proper credit.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Let\u2019s discuss the idea of \u2018creating runs\u2019 and why it is so important. Obviously, wins and losses are decided by runs, so scoring as many as possible is the goal. However, assigning credit for those runs is difficult, because multiple players typically combine their efforts to produce a run. Both wRC and wRC+ get around this problem by offering the appropriate weights to events that can lead to the production of runs.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">So, why the need for two stats? There are a couple of important differences between the two. For one thing, wRC is considered a \u201ccounting\u201d stat because it accumulates as a season goes along. On the other hand, wRC+ is a \u201crate\u201d stat, which moves up and down throughout the season\u00a0 based on a player\u2019s performance. A good way to understand this difference is to think about hits and batting average. Hits is simply the total number of hits a player has accumulated, while batting average is the rate at which he records hits. wRC and wRC+ are similar. wRC adds up the Weighted Runs Created by a player for a given time period, while wRC+ establishes a rate that factors in important elements like league and park factors.<\/span><\/p>\n<h1><span style=\"font-weight: 400;\">The Concept of wRC and wRC+<\/span><\/h1>\n<p><span style=\"font-weight: 400;\">As modern statistics have analyzed the game more carefully, it has become clear that more advanced statistical metrics can give fans and teams a better perspective on the abilities of each individual hitter.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">At the heart of wRC and wRC+ is a statistic known as weighted on-base average, or wOBA. The basic idea behind wOBA is that each hit should be given its fair value. In a batting average, all hits are valued equally, which is obviously not the case in the real world. For instance, a home run is far more valuable than a single, but batting average sees them as equals. Something like slugging percentage attempts to get around this issue, but it still doesn\u2019t capture the full picture accurately. With wOBA, we\u2019re able to assign fair values to various types of hits, giving an improved picture of batter performance.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">As you will see when we get to the calculation for wRC, it relies heavily on wOBA for these benefits.<\/span><\/p>\n<h1><span style=\"font-weight: 400;\">Why are wRC and wRC+ Important?<\/span><\/h1>\n<p><span style=\"font-weight: 400;\">These two statistics are important because they are an excellent way to sum up a player\u2019s offensive contribution in a single number. With so many stats available in baseball today, it can be hard to know where to focus your attention when evaluating hitters, and these two stats offer a nice solution to that problem. By assigning appropriate credit for the runs a hitter creates, wRC and wRC+ have become important metrics in hitter evaluation.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Specifically, it is really wRC+ that takes so much of what matters and rolls it up into a single number. Since it is scaled to have league average performance always equal 100, it takes just a glance to see whether a player is an above- or below-average hitter. A wRC+ over 100 is an above average performance, while anything under 100 is below league average. Some baseball fans who are put off by the complexity of many modern statistics would find that they can easily understand what wRC+ represents, once they are introduced. This is one of the stats that does have the potential to reach a much wider audience.\u00a0<\/span><\/p>\n<h1><span style=\"font-weight: 400;\">How are wRC and wRC+ Calculated?<\/span><\/h1>\n<p><span style=\"font-weight: 400;\">Although these stats share plenty in common, including a name, the calculations are actually quite different.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Let\u2019s start by looking at how wRC is calculated:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">wRC = (((wOBA &#8211; League wOBA\/wOBA Scale) + (League R\/PA)) * PA<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Some important points:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u201cwOBA\u201d is a player\u2019s Weighted On Base Average<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u201cLeague wOBA\u201d is the total Weighted On Base Average for the season\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u201cwOBA Scale\u201d is a constant calculated for each season\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u201cLeague R\/PA\u201d is the average runs scored per plate appearance on the season<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u201cPA\u201d is a player\u2019s total number of plate appearances<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">For wRC+, the math gets a bit more complicated:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">wRC+ = (((wRAA\/PA + League R\/PA) + (League R\/PA &#8211; Park Factor * League R\/PA))\/(AL or NL wRC\/PA excluding pitchers))*100<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u201cwRAA\u201d is a player\u2019s Weighted Runs Above Average<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u201cLeague R\/PA\u201d is League Runs per Plate Appearance<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u201cPark Factor\u201d adjusts the stat for locations of games\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u201cAL or NL wRC\/PA\u201d excluding pitchers adjusts the stat for league conditions<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">If you want to calculate a player\u2019s wRC or wRC+, you\u2019ll need to look up a variety of statistics to fill in the equations above. Fortunately, all of these numbers are readily accessible, on sites such as <a href=\"http:\/\/baseball-reference.com\">Baseball-Reference.com<\/a> and <a href=\"http:\/\/fangraphs.com\">FanGraphs.com<\/a>.\u00a0<\/span><\/p>\n<h1><span style=\"font-weight: 400;\">What are Good wRC and wRC+ Numbers?<\/span><\/h1>\n<p><span style=\"font-weight: 400;\">As we mentioned in the introduction, wRC is a counting stat and wRC+ is a rate stat. That means players will accumulate more wRC as they go through the course of the year, while wRC+ will go up and down based on performance (with 100 always being league average).\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">To give you some frame of reference for these two metrics, we have presented two tables below:<\/span><\/p>\n<h2><b>All-Time wRC Leaders (1900-2018)<\/b><\/h2>\n<table>\n<tbody>\n<tr>\n<td><strong>Player<\/strong><\/td>\n<td><strong>Season<\/strong><\/td>\n<td><strong>wRC<\/strong><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Babe Ruth<\/span><\/td>\n<td><span style=\"font-weight: 400;\">1921<\/span><\/td>\n<td><span style=\"font-weight: 400;\">214<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Babe Ruth<\/span><\/td>\n<td><span style=\"font-weight: 400;\">1923<\/span><\/td>\n<td><span style=\"font-weight: 400;\">211<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Barry Bonds<\/span><\/td>\n<td><span style=\"font-weight: 400;\">2001<\/span><\/td>\n<td><span style=\"font-weight: 400;\">200<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Lou Gehrig<\/span><\/td>\n<td><span style=\"font-weight: 400;\">1927<\/span><\/td>\n<td><span style=\"font-weight: 400;\">199<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Babe Ruth<\/span><\/td>\n<td><span style=\"font-weight: 400;\">1927<\/span><\/td>\n<td><span style=\"font-weight: 400;\">195<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Jimmie Foxx<\/span><\/td>\n<td><span style=\"font-weight: 400;\">1932<\/span><\/td>\n<td><span style=\"font-weight: 400;\">193<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Lou Gehrig<\/span><\/td>\n<td><span style=\"font-weight: 400;\">1930<\/span><\/td>\n<td><span style=\"font-weight: 400;\">193<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Babe Ruth<\/span><\/td>\n<td><span style=\"font-weight: 400;\">1924<\/span><\/td>\n<td><span style=\"font-weight: 400;\">193<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Babe Ruth<\/span><\/td>\n<td><span style=\"font-weight: 400;\">1930<\/span><\/td>\n<td><span style=\"font-weight: 400;\">192<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Lou Gehrig<\/span><\/td>\n<td><span style=\"font-weight: 400;\">1936<\/span><\/td>\n<td><span style=\"font-weight: 400;\">192<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><b>All-Time wRC+ Leaders (1900-2018)<\/b><\/h2>\n<table>\n<tbody>\n<tr>\n<td><strong>Player<\/strong><\/td>\n<td><strong>Season<\/strong><\/td>\n<td><strong>wRC+<\/strong><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Barry Bonds<\/span><\/td>\n<td><span style=\"font-weight: 400;\">2002<\/span><\/td>\n<td><span style=\"font-weight: 400;\">244<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Babe Ruth<\/span><\/td>\n<td><span style=\"font-weight: 400;\">1920<\/span><\/td>\n<td><span style=\"font-weight: 400;\">239<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Barry Bonds<\/span><\/td>\n<td><span style=\"font-weight: 400;\">2001<\/span><\/td>\n<td><span style=\"font-weight: 400;\">235<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Barry Bonds<\/span><\/td>\n<td><span style=\"font-weight: 400;\">2004<\/span><\/td>\n<td><span style=\"font-weight: 400;\">233<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Babe Ruth<\/span><\/td>\n<td><span style=\"font-weight: 400;\">1923<\/span><\/td>\n<td><span style=\"font-weight: 400;\">231<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Babe Ruth<\/span><\/td>\n<td><span style=\"font-weight: 400;\">1921<\/span><\/td>\n<td><span style=\"font-weight: 400;\">224<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Ted Williams<\/span><\/td>\n<td><span style=\"font-weight: 400;\">1957<\/span><\/td>\n<td><span style=\"font-weight: 400;\">223<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Rogers Hornsby<\/span><\/td>\n<td><span style=\"font-weight: 400;\">1924<\/span><\/td>\n<td><span style=\"font-weight: 400;\">221<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Ted Williams<\/span><\/td>\n<td><span style=\"font-weight: 400;\">1941<\/span><\/td>\n<td><span style=\"font-weight: 400;\">221<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Mickey Mantle<\/span><\/td>\n<td><span style=\"font-weight: 400;\">1957<\/span><\/td>\n<td><span style=\"font-weight: 400;\">217<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"font-weight: 400;\">There won\u2019t always be these kinds of legendary performances taking place each season, so it may be helpful to understand what a standout wRC+ performance looks like during a single season.\u00a0<\/span><\/p>\n<h2><b>2018 wRC+ Leaders<\/b><\/h2>\n<table>\n<tbody>\n<tr>\n<td><strong>Player<\/strong><\/td>\n<td><strong>wRC+<\/strong><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Mike Trout<\/span><\/td>\n<td><span style=\"font-weight: 400;\">191<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Mookie Betts<\/span><\/td>\n<td><span style=\"font-weight: 400;\">185<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">J.D. Martinez<\/span><\/td>\n<td><span style=\"font-weight: 400;\">170<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Christian Yelich<\/span><\/td>\n<td><span style=\"font-weight: 400;\">166<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Alex Bregman<\/span><\/td>\n<td><span style=\"font-weight: 400;\">157<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Brandon Nimmo<\/span><\/td>\n<td><span style=\"font-weight: 400;\">149<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Jose Ramirez<\/span><\/td>\n<td><span style=\"font-weight: 400;\">146<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Paul Goldschmidt<\/span><\/td>\n<td><span style=\"font-weight: 400;\">145<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Manny Machado<\/span><\/td>\n<td><span style=\"font-weight: 400;\">141<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Anthony Rendon<\/span><\/td>\n<td><span style=\"font-weight: 400;\">140<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h1><span style=\"font-weight: 400;\">What are the Problems with wRC and wRC+?<\/span><\/h1>\n<p><span style=\"font-weight: 400;\">The list of complaints for these two stats is a short one, as they are well-respected in the statistics community for their ability to identify the best hitters in the game. Both stats, particularly wRC+, are highly useful but there are a couple of shortcomings you should be aware of.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">First, wRC is not adjusted for the league of the batter or the parks he plays in. This does limit the effectiveness of wRC somewhat, but is corrected in wRC+, where both factors are included.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Also, neither of these stats take the position of the player into consideration. A good hitting shortstop would typically be considered more valuable than a first baseman offering the same production, since the shortstop fills a more demanding defensive position. This doesn\u2019t limit the effectiveness of the stat in analyzing a hitters production, but it is something to keep in mind.\u00a0<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>wRC and wRC+ Definitions It\u2019s easy to make the game more complicated than it needs to be, but when a batter steps to the plate, he really has one overall goal to accomplish: to create runs. Actions which help create runs include getting hits, drawing walks, and more. 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