If you are a follower of the Statcast/Baseball Savant folks, then you know they've been teasing the release of their infield defense metrics for months now. They are very close to public release, I believe it will be this week, and they've even been tweeting out some tidbits to get people interested.
Without divulging my methods, since I suspect it will render my methods no longer usable, I have gotten my hands on most of the data (note: I haven't hacked anybody, everything's on the up and up). I only have complete data for 2019 but have some info about Sox players in prior years. So who wants to hear about the Sox???
Just like the outfield defense, you have two basic metrics: Outs Above Average (OAA) and a percentage added. OAA is a counting stat, like RBI, and is therefore sensitive to playing time and number of chances. The percentage stat is more like batting average and lets you more easily compare players with different amounts of playing time.
On outs above average, out of 218 qualified infielders...
Moncada ranked #51 (+5 OAA)
Yolmer #82 (+2 OAA)
Tim #104 (-1 OAA)
Abreu #142 (-3 OAA)
On percentage added, out of 218 qualified infielders...
Moncada ranked #51 (yes, exactly the same as OAA; 2% added)
Yolmer #86 (1%)
Tim #104 (0%)
Abreu #142 (-1%)
So almost exactly the same in their cases. The differences in rankings for OAA and success rate added are mostly at the very top and bottom.
By position...
Among 3B, Moncada ranked #9 out of 53 3B in OAA and #7 in percentage added.
Among 2B, Yolmer ranked #19 out of 71 2B in OAA and #21 in percentage added.
Among 1B, Abreu ranked #34 out of 40 1B in OAA and #26 in percentage added.
Among SS, Tim ranked #29 out of 54 SS in OAA and #29 in percentage added.
Quick Sox highlights:
Tim didn't do as badly as we feared. I can add that in 2018, he ranked in the 87th percentile among SS, much better. He was in the 66th percentile in 2017. If he cleans up the errors, he's going to be a real asset like we all hoped. He has demonstrated a consistent strength moving to his left over the years per these numbers. Last year his problem was coming in on balls.
Yoan's defense was rated above average by UZR and below average by DRS, so some of us weren't sure where he stood. This suggests he is indeed a strong defender at 3B. Great! Also of note: In 2018, his 2B defense ranked in the 1st percentile, meaning he was the worst or close to the worst infield defender in MLB by these metrics.
Abreu isn't good, but he's not horrible either (at least when it comes to fielding balls; this doesn't factor in catching thrown balls AFAIK).
Other metrics were overrating Yolmer it would appear, although he has been by no means bad. Statcast indicates he struggles going to his right.
Other info for non-Sox players:
Best OAA in MLB:
Javier Baez (+19)
Arenado (+17)
Andrelton Simmons (+16)
Nick Ahmed (+16)
Trevor Story (+15)
Matt Chapman (+14)
Paul DeJong (+13)
Matt Olson (+12; by far the highest 1B)
Jose Iglesias (+12)
Worst OAA in MLB:
Vlad Guerrero Jr. (-16)
Jorge Polanco (-16)
Fernando Tatis Jr. (-13)
Didi Gregorius (-13)
Jonathan Villar (-12)
Tim Beckham (-9)
Kevin Newman (-8)
Gleyber Torres (-7)
Best % added:
Isiah Kiner-Falefa (8%)
Tony Kemp (7%)
Cory Spangenberg (6%)
Andrelton Simmons (6%)
Jeff McNeil (5%)
Marwin Gonzalez (5%)
Matt Olson (5%),
Javier Baez (5%)
Worst % added:
Chad Pinder (-11%)
Vlad Jr. (-8%)
Luke Voit (-7%)
Didi Gregorius (-6%)
Fernando Tatis Jr. (-5%)
Tim Beckham (-5%)
Ryon Healy (-5%)
Also, Marcus Semien was well below average, though not horrible, this year and was no different than the past two years, in contrast to the story told by UZR/DRS.