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Replacement (WAR) is an attempt by the sabermetric baseball community to summarize a player’s total contributions to their team in one statistic. You should always use more than one metric at a time when evaluating players, but WAR is all-inclusive and provides a useful reference point for comparing players. WAR offers an estimate to answer the question, “If this player got injured and their team had to replace them with a freely available minor leaguer or a AAAA player from their bench, how much value would the team be losing?” This value is expressed in a wins format, so we could say that Player X is worth +6.3 wins to their team while Player Y is only worth +3.5 wins, which means it is highly likely that Player X has been more valuable than Player Y.



WAR is not meant to be a perfectly precise indicator of a player’s contribution, but rather an estimate of their value to date. Given the imperfections of some of the available data and the assumptions made to calculate other components, WAR works best as an approximation. A 6 WAR player might be worth between 5.0 and 7.0 WAR, but it is pretty safe to say they are at least an All-Star level player and potentially an MVP.

While WAR is not as complicated as some might think, it does require a good bit of information to calculate and understand. Below you can find general information about WAR and links to specific information about position players and pitchers, as WAR is obviously calculated differently for each.

● For Position Players

● For Pitchers (update coming soon!)

Calculation:

Calculating WAR, especially for position players, is simpler than you’d think. If you want the detailed version with the precise steps and formulas, head to our page on Position Player WAR or Pitcher WAR. The short answer, though, is as follows:

● Position players – To calculate WAR for position players you want to take their Batting Runs, Base Running Runs, and Fielding Runs above average and then add in a positional adjustment, a small adjustment for their league, and then add in replacement runs so that we are comparing their performance to replacement level rather than the average player. After that, you simply take that sum and divide it by the runs per win value of that season to find WAR. The simple equation looks something like this:

WAR = (Batting Runs + Base Running Runs +Fielding Runs + Positional Adjustment + League Adjustment +Replacement Runs) / (Runs Per Win)

● Pitchers – While position player WAR is based on Batting Runs and Fielding Runs, pitching WAR uses FIP (with infield fly balls), adjusted for park, and scaled to how many innings the pitcher threw. FIP is translated into runs, converted to represent value above replacement level, and is then converted from runs to wins. This is a slightly more complicated process than for position players and there will be a new post detailing exactly how we do this in the next week or so (stay tuned!)

WAR is available in two places: FanGraphs (fWAR) and Baseball-Reference (rWAR or bWAR). Both statistics use the same framework and calculate replacement level the same, but use different methods for estimating offensive, defensive, and pitching value, so their results differ in some cases. Additionally, Baseball-Prospectus calculates WARP, which is the same idea by a different name. All of the information provided on these pages refers to fWAR, unless otherwise specified.

Why WAR:

WAR is trying to answer the time-honored question: How valuable is each player to his team? Baseball is the sum of many different parts and players can help their teams win through hitting, base running, defensive play, or pitching. Comparing two players offensively is useful, but it discounts the potential contribution a player can make by saving runs on defense. WAR is a simple attempt to combine a player’s total contribution into a single value.

The goal of WAR is to provide a holistic metric of player value that allows for comparisons across team, league, year, and era and a framework for player evaluation. While there will likely be improvements to the process by which we calculate the inputs of WAR, the basic idea is something fans and analysts have desired for decades. WAR estimates a player’s total value and allows us to make comparisons among players with vastly different skill sets. Who is better, a slugging first baseman or a superlative defensive shortstop? WAR gives you a method for answering that question.

How to Use WAR:

Perhaps one of the most controversial aspects of sabermetrics is the way in which WAR is used. Given the nature of the calculation and potential measurement errors, WAR should be used as a guide for separating groups of players and not as a precise estimate. For example, a player that has been worth 6.4 WAR and a player that has been worth 6.1 WAR over the course of a season cannot be distinguished from one another using WAR. It is simply too close for this particular tool to tell them apart. WAR can tell you that these two players are likely about equal in value, but you need to dig deeper to separate them.

However, a 6.4 WAR player and a 4.1 WAR player are different enough that you can have a high level of confidence that the first player has been more valuable to their team over the given season.

For position players, the largest point of contention comes in measuring defense and estimating the positional adjustment. Our measures of both are more uncertain than our measures of offense, so players who get a good amount of their value through their defensive ratings likely have more uncertainty around their WAR value than players who have defensive value closer to average. This does not mean that WAR is wrong or biased, but rather that it is not yet capable of perfect accuracy and should be used as such.

For pitchers, the biggest open question is how much credit a pitcher should receive for the result of a ball in play. At FanGraphs, we use FIP which assumes average results on batted balls. We know that there is some skill involved in suppressing hits on balls in play, but we have no idea exactly how much. Therefore, WAR will sell short players with certain FIP-beating skills and oversell those pitchers whose results fall short of their FIP for reasons within their control. At this point, we don’t have a good way of assigning credit more accurately for balls in play.