Evaluating Lance Lynn’s Unexpected 2019


I was born, raised and am currently residing in South Korea, where Chan Ho Park, Shin-Soo Choo, and some Korean-born Major League players spent their school days before moving to the US with a big dream. Many Korean MLB fans recognize that their free agent contracts with the Texas Rangers have been something that very far from what we call a success. Choo is currently having a great year and has been rewarded with his first trip to the All-Star Game.
Spending more than a decade of time to observe the ongoing conversations about those free-agent contracts, I have been wondering if it is possible to view this matter rather mathematically and/or statistically. And I think I have found a way for it, if it is not an absolute solution. I have named it proW/sal, which stands for proportional fWAR divided by proportional salary.
The equation is rather simple: proW/sal = (fWAR of the selected player in a particular year/fWAR of the player whose fWAR was the highest in that year)/(salary of the selected player in a particular year/salary of the most expensive player of that year).
The following are the exemplary applications:
1. This can be used in comparing individual players’ performances in one year in their FA contracts. Alex Rodriguez won the AL MVP award in 2007 after having a monster season with 54 homers and 156 RBIs, batting stellar .314, .422, .645. This enabled him to sign another 10-year FA contract with the Yankees. Let’s compare his year to that of Albert Pujols, who was in the middle of the extension contract with the St. Louis Cardinals.
A-Rod recorded the highest fWAR of the year: 9.6. The most expensive player of the year was Jason Giambi, whose salary of the year was $23,428,571. Since A-Rod’s salary for that year was $22,708,525, his proW/sal would be (A-Rod’s fWAR in 2007/A-Rod’s fWAR in 2007)/(A-Rod’s salary in 2007/Giambi’s salary in 2007) = (9.6/9.6)/($22,708,525/$23,428,571), which would be rounded to about 1.07. This is a great number because this means A-Rod’s fWAR and salary made an equilibrium with the highest fWAR and the highest salary of the year.
Let’s look at Pujols in 2007. His fWAR was 7.7, which is amazing, but not quite like that of A-Rod. His salary, however, was only $12,937,813. So his proW/sal of the year would be (Pujols’ fWAR in 2007/A-Rod’s fWAR in 2007)/(Pujols’ salary in 2007/Giambi’s salary in 2007) = (7.7/9.6)/($12,937,813/$23,428,571), which is about 1.45.
Yes. Pujols’ fWAR was lower than that of A-Rod. But due to his low salary, Pujols can be considered to have had a way more number-efficient year than that of A-Rod.
2. This also can be used to determine the efficiency of an individual FA contract in a year or as a whole. Let’s look at Randy Johnson during his first six years as a Diamondback.
Johnson’s FA contract with the Arizona Diamondbacks in December 1998 is considered one of the most successive FA contracts ever. But how good was it? Let’s determine it by using proW/sal.
In 1999, Johnson’s first year as a Diamondback, the player who recorded the highest fWAR was Pedro Martinez(11.6). Randy was at 9.5. And the most expensive player of that year was Albert Belle, whose salary was $12,868,670, while that of Randy was only $9.7M. So his proW/sal in 1999 was (9.5/11.6)/($9.7M/$12,868,670), which is about 1.09.
In the same manner, Johnson’s proW/sal in 2000, 2001, 2002, 2003, and 2004 can be calculated. According to my calculation, they were 1.18, 1.65, 1.44, 0.43, and 1.41, respectively. The big jump was due to A-Rod’s record-breaking FA contract with the Rangers, as well as Johnson’s great performances.
So the average of those six years’ proW/sal would demonstrate the efficiency of Johnson’s first six years in Phoenix. It’s at 1.19–a huge number because this means he was either the best in fWAR in those years, while his salary was quite below that of the most expensive player of each year.
For comparison, the average proW/sal of Carlos Lee’s FA contract with the Houston Astros was 0.29, and that of Choo’s FA contract with the Rangers was 0.26 until last year. I would not even bother with Park’s contract with the Rangers.
This equation, however, is far from perfection. First, I have not considered about distinction between fWARs of pitchers and batters, as well as salaries of pitchers and batters. I wonder if it would be necessary to differentiate them so that the number becomes fairer.
In addition, this equation is yet to function properly in regards to the fWARs in negative numbers. Using this equation may improperly evaluate a player with a negative fWAR with a cheap salary. For example, let’s suppose a player, A, whose fWAR was -1.0, and whose salary was $1M, another player, B, with the same fWAR but $10M of salary. And let’s assume that the highest fWAR that year was 1.0, and the most expensive salary was $10M. Despite the same fWAR and the lower salary, A’s proW/sal would be -10, while that of B is only -1. I have not found a solution to this yet due to my lack of proficiency in mathematics and statistics.
Moreover, this equation only functions well within the comparison between/among FA contracts. If this gets to rookie players, the value skyrockets to an absurd degree. For example, the proW/sal of Mike Trout in his Rookie-of-the-Year year of 2012 is about 569.63. Every FA contract will be viewed as a bust if it is compared to that.
So here it is. I hope people with much proficiency take a look at this and improve it.
Sports always allow us to ask, what if? What if a baseball lineup — complete with all nine positions and a designated hitter — was composed of all-time greats in their best seasons.
I have composed a lineup filled with the very best active players who I think will make the Hall of Fame.
These players will not be judged on their performance this year; they will be chosen based on how well they performed during their primes.
I have designated a player’s “prime” as the best seven years of their career — not necessarily consecutive — and these selections are based on the player’s likelihood to make the Hall of Fame. Some members of the team will be inducted on the first ballot, and some will take years to make it to the Hall, but ultimately I think that every player on this list has a great shot at being immortalized in Cooperstown.
This article is part one of a two-part set in which I show my Dream Team. Part two will be released tomorrow.
Metrics Explained
Wins Above Replacement, or WAR, is the most commonly used advanced metric in baseball. It is a measure of how many wins a team gained by playing a specific player instead of a replacement player, who would have a WAR of 0. If a player records 2 WAR in a season, he is considered starting material, 4 or 5 WAR is acknowledged to be All-Star value, and 8 WAR is MVP-level production.
The Jaffe WAR score system, or JAWS, is simply the average of a player’s seven-year peak WAR and career WAR. For example, if a player had 100 career WAR and 50 seven-year peak WAR, his JAWS would be 75. This metric gives us perspective on how likely it is for a player to make the Hall of Fame compared to those who played their position.
Fielding Percentage is a measure off how often a player commits an error. For example, a fielding percentage of 97% means the player committed an error on 3% of the plays he made.
Note: This list favors older players because:
Batting leadoff and playing right field…
59.4 career WAR / 43.6 7yr-peak WAR / 51.5 JAWS
Average HOF RF:
73.2 career WAR / 43.0 7yr-peak WAR / 58.1 JAWS
17th in JAWS out of 24 Hall of Fame Right Fielders
Accolades: MVP (2001), Rookie of the Year (2001), 10x All-Star, 10x Gold glove, 3x Silver Slugger
Ichiro was one of the easiest selections for this Hall of Fame Dream Team. He was a trendsetter — the first Asian position player to debut in the Major Leagues.
In his rookie season, Ichiro set the baseball world ablaze, winning MVP and Rookie of the Year, and leading the league in hits, stolen bases, and batting average.
Ichiro was a revelation in the big leagues, and his game was predicated on speed not power, completely opposite to the direction baseball was trending. According to FanGraphs, Ichiro occupies the first seven spots on the list of highest single-season infield hit totals.
Ichiro was the hit king. He holds the records for most hits in a season (262) and most consecutive 200-hit seasons (10). He also tied the record for most 200-hit seasons (10), and led the league in hits seven times.
Recently, Ichiro reached the 3,000 hit plateau, and if you count his hits from his time in Japan, he broke Pete Rose’s record for most hits across all of baseball’s professional leagues.

In his prime, Ichiro was one of the best players in the world. Only Albert Pujols and Alex Rodriguez accumulated more WAR than Ichiro from 2001 to 2010. On top of being one of the greatest to ever play in the outfield, Ichiro was a cultural icon, and many of the recent advances that Asian players have made are attributable to him.
Batting second and playing left field…
52.0 career WAR / 52.0 7yr-peak WAR / 52.0 JAWS
Average HOF CF (out of 19):
71.2 career WAR / 44.6 7yr-peak WAR / 57.9 JAWS
14th out of 19 Hall of Fame Center Fielders
Accolades: 2x MVP (2014, 2016), Rookie of the Year (2012), 6x All-Star, 5x Silver Slugger
Trout usually plays center field, but I had to move him over to left in order to accommodate him in the lineup.
Mike Trout is hands-down the best player in baseball right now, and is surely destined for Cooperstown.
Trout has only played five full seasons, but his numbers stack up well next to other center fielders who are enshrined in the Hall. And at just 25 years old, Trout is only entering his prime, meaning that his best years are ahead of him.
Now that’s a stunning thought.
Trout also has the sixth-best seven-year peak WAR out of the 24 center fielders in Cooperstown, in only five seasons!
Here I am talking about how Trout is a generational talent, and I haven’t even mentioned the countless honors that he has collected. Trout has made the All-Star team (for which he has won MVP twice), taken home a Silver Slugger, and been either MVP winner (twice) or runner-up (three times) in every season of his career.
That level of dominance is mind-boggling and completely unprecedented.
Batting third as the designated hitter…
70.0 career WAR / 44.6 7yr-peak WAR / 57.3 JAWS
Average HOF 1B:
66.4 career WAR / 42.7 7yr-peak WAR / 54.6 JAWS
10th in JAWS out of 20 Hall of Fame First Basemen
Accolades: Triple Crown (2013), 2x MVP (2012, 2013), 11x All-Star, 7x Silver Slugger, World Series Champion (2003)
Miguel Cabrera, still one of the best players in baseball, is a generational talent and already a surefire Hall of Famer. The Venezuelan has been tearing up the big leagues ever since debuting in 2003, and has brought a cheerful smile and a love of the game to wherever he plays.
In the beginning of his career, Cabrera was a young star on the Florida Marlins, one of the youngest teams in baseball. He experienced success early on when the Marlins won the World Series in his rookie year. Then, after a blockbuster trade to the Detroit Tigers in 2007, he continued to amaze in the American League.
From 2011 to 2015, Cabrera was the most feared hitter in all of baseball. During that time, he won four batting titles, took home two MVPs, and racked up five All-Star selections. In 2013, Cabrera captured the Triple Crown (leading the league in batting average, home runs, and RBIs), a feat that had not been accomplished since 1967.
Cabrera already has 2,598 hits and 458 home runs as of July 22nd, so he has a good chance to join Hank Aaron, Willie Mays, and Alex Rodriguez as the fourth member of the 3,000 hit and 600 home run club. Cabrera’s near-incomparable match of hitting for both power and average have vaulted him into the conversation as one of the best hitters of all time.
Batting cleanup and playing first base…
100.1 career WAR / 61.6 7yr-peak WAR / 80.8 JAWS
Average HOF 1B:
66.4 career WAR / 42.7 7yr-peak WAR / 54.6 JAWS
2nd in JAWS out of 20 Hall of Fame First Basemen
Accolades: 3x MVP (2005, 2008, 2009), Rookie of the Year (2001), 10x All-Star, 2x Gold Glove, 6x Silver Slugger, World Series Champion (2006, 2011)
The easiest choice on the roster, Albert Pujols should make the Hall of Fame on the first ballot. Much like Pujols’ overflowing trophy cabinet, I don’t have room enough to praise Pujols, truly one of the greatest players ever.
Pujols has faded since he signed with the Angels on a 10-year, $240-million contract in 2012, but don’t let his struggles of late affect your judgement on his case for the Hall of Fame. He trails only Lou Gehrig in career WAR among first basemen, and is one of only 21 position players to record 100 career WAR.
Pujols’ nickname “The Machine” was an apt description of his time as a Cardinal. His 162-game average stats for his 11 years in St. Louis were: .328/.420/.617 with 127 RBIs, 123 runs, and 43 home runs. Pujols finished in the top 10 of the MVP voting all 11 years, ending up in the top five in ten seasons, and winning the award three times. But Pujols isn’t just a slugging first basemen, he is a very capable defender and has won two Gold Gloves.
Pujols became the ninth member of the 600 home run club earlier this year, and next year he should join the 3,000 hit club (as of July 22nd he has 2,908 hits). Pujols leaves a legacy as one of the best ever, and he deserves to be enshrined in Cooperstown.
Batting fifth and manning the hot corner…
91.5 career WAR / 49.7 7yr-peak WAR / 70.6 JAWS
Average HOF 3B:
67.5 career WAR / 42.8 7yr-peak WAR / 55.2 JAWS
5th in JAWS out of 13 Hall of Fame Third Basemen
Accolades: 4x All-Star, 5x Gold Glove, 4x Silver Slugger
Adrian Beltre, still chugging along at the ripe age of 38, has graced baseball with his presence for 20 seasons. From hitting home runs off one knee, to his aversion of people touching his head, Beltre is one of the true characters of the game.
Beltre is third all-time in WAR among third basemen, trailing only Mike Schmidt and Eddie Mathews. He also figures to be the next member of the 3,000 hit club, needing only 15 more hits as of July 22nd. And if he decides to come back and play next year, he has a great chance of overtaking Brooks Robinson for most games played at third base.
Those are just some of the records that Beltre is approaching, and he does not seem to be slowing down.
There is just no debate on Beltre’s Hall of Fame candidacy. Among all third basemen, he ranks in the top five in games played, hits, doubles, home runs, RBIs, and WAR.
Beltre’s legacy will be as one of the best defensive third basemen of all time, and he trails only Brooks Robinson in Defensive WAR among players who have manned the hot corner. His highlight reel of diving stabs, barehanded picks, and throws from all the way across the diamond make him one of the best ever to play third base.
Special thanks to baseball-reference.com for all of these helpful stats. I could not have written this article without them.
Thanks for reading Part I. Part II will be released at a later date and it will include spots 6-9 in the batting order as well as the starting pitcher.
To be continued…
Mike Podhorzer has looked into the relationship of a batters’ average fly ball distance as it relates to their HR/FB ratio, and has found results that will allow others to more accurately project a hitter’s home run totals from year to year.
This got me thinking. Which can be a good or bad, but in this case, the authors’ labor produced a fruitful return. While a hitters’ HR/FB ratio can fluctuate indiscriminately from year to year, Podhorzer has proven a batters’ average fly ball distance is a better indication of a player’s true talent power production. In the same light, my study looks at how a player’s swinging strike rate (SwStr%) is a better indication of a pitcher’s strikeout potential than K/9.
My assumption was that K/9 and SwStr% have a strong relationship. But, how strong of a relationship is it? To find this out, I took all qualified starter seasons from 2003 to 2013, which gave me a sample size of 933 pitchers, and ran a correlation between their SwSTR% and their K/9. The results showed that there is an exceedingly positive correlation between SwSTR% and K/9, to the tune of a .807 correlation coefficient and a .65 R2.

What is important to note is that there are very few pitchers present in the sample with a SwStr% above 13%, which may be symptomatic of something larger. Getting batters to swing and miss is difficult. The more often you can get a batter to swing and miss, the more valuable you are as a pitcher. As a result, the higher the SwStr%, the smaller the sample size becomes. For example, Johan Santana (2004) and Kerry Wood (2003) are the two lone dots to the farthest right on the graph with SwStr% of over 15: wow.
After the relationship between SwStr% and K/9 ratio became unmistakable, I calculated what a particular SwSTR%s translates into, as far as K/9, with the formula Y=68.473*x+0.8435, and got this chart:

The next step is to take what we have discovered and apply it to a sample. The chart below shows each qualified pitcher for 2013, their SwStr%, xK/9, K/9, and K/9-xK/9. xK/9 is what we would expect a pitcher’s K/9 to be based off of their SwStr%, and K/9-xK/9 shows us how much a pitcher over-performed or under-performed their SwStr% and xK/9.The first set of ten names are the pitchers who outperformed their xK/9 the most, and the second list of ten names are the players who underperformed their xK/9 the most.

The results show that Ubaldo Jimenez, Yu Darvish, and Jose Fernandez are the pitchers who have outperformed their xK/9 the most in 2013. These three pitchers also have great a great amount of deception and/or command (deception in Jimenez’s case: because, no one has ever called Ubaldo a control artist). And, while they may have outperformed their true talent in 2013 to an extent—they all had remarkable years—maybe that deception and control, which SwStr% does not take into account, leads to less swings by batters and more pitches taken for strikes, as opposed to swung at for strikes.
Perhaps xK/9 is more helpful when we look at pitchers who underperformed their SwStr%, like Jarrod Parker and Kris Medlen. Both of these pitchers had down years compared to what their projections suggested, but their xK/9s seem to be optimistic about their futures. Parker showed a .18 improvement in his K/9 from the first half to the second half of the season, while Medlen showed almost a full point improvement going from a 6.81 K/9 in the first half to a 7.67 K/9 in the second half.
While xK/9 may miss something—deception and command—when it comes to pitchers that outperform their SwStr%, xK/9 seems to find a reason to be optimistic when it comes to pitchers like Kris Medlen and Jarrod Parker who have underperformed their SwStr% and strikeout potential.
Devon Jordan is obsessed with statistical analysis, non-fiction literature, and electronic music. If you enjoyed reading him, follow him on Twitter @devonjjordan.