"Plausibility Index" & The Allegory of the Window

Our Spectometer stat to measure "Production"

This may be a very lame way of explaining what I'm getting at, or not. But I do realize now I should have found a picture of an open window.

Anyway ... imagine if you will ...

There is a little cannon, like the ones they use for practicing tennis or shooting hot dogs into the bleachers, and it shoots beanbags at the side of a house with a window.  (We wouldn't want to damage the house, so we use beanbags.)  The window is open, but the size of the opening is fixed.  The cannon has bad aim, and moves up and down and back and forth in a totally random manner.  For purposes of our thought experiment, the aim and randomness of the cannon cannot be changed, either.  The beanbags are fed into the cannon from a hopper.

But ... some percentage of the beanbags make it through the window and into the house.

Every minor league hitter will have beanbags fired at the window on his behalf, and every minor league hitter will have a "Goal" of obtaining a given number of beanbags inside the house.

At the outset, with each minor league hitter getting an identical hopper-full of beanbags (that is, plate appearances), it is equally plausible for each hitter to reach the Goal.  Some will and some won't, but that will be determined by the randomness of the cannon shots.  At the outset, no one hitter is more plausible than any other.

But then we change the ground rules in two steps.

First, each hitter takes a certain number of beanbags out of his hopper, and places them directly in the house.  These are walks, home runs and balls hit with authority (defined for measurement purposes as doubles + triples).  In other words, a number of beanbags equal to XBH + BB comes out of the hopper and into the house.  No cannon shot needed.  Each hitter will be that much closer to the Goal, in an amount equal to the number of XBH + BB.

Second, each hitter takes a certain number of beanbags out of his hopper, and throws them in the dumpster.  These are strikeouts.  These beanbags never get into the house, and can't be used to reach the Goal.

After these two events, the plausibility of each hitter reaching the Goal will be different.  Some will be very close to the Goal, and some won't.  Some will have reduced their chances by removing a load of beanbags from their hopper.  Hitters with similar-looking stats, might have very different plausibility because of very different strikeout rates.

After the two events, we've narrowed down our cannon shots to two of the six "plate outcomes."  Walks, home runs and balls hit with authority go right in the house; strikeouts go right in the dumpster.  The only "beanbags" left in the "hopper" represent "random-y" singles and "random-y" ball-in-play outs.

And ... we can calculate the conversion rate that each hitter needs to reach the Goal.  That is, once we know how many beanbags are in the house, how many are in the dumpster, and how many are left in the hopper, we can calculate the percentage of beanbags that need to make it through the window in order to reach the Goal.

That is what the stat Plausibility Index is.  The "Goal" is defined as an OPS of .890, which is the OPS that you get when you combine the threshold numbers that almost all successful major league hitters showed in the minors. 

Then:

  • given this hitter's actual rate of walks, home runs and extra-base hits [beanbags placed directly in the house], and
  • given this hitter's actual strikeout rate [beanbags placed in the dumpster] ...
  • what is the conversion rate of "random-y" singles [beanbags making it through the window] per "non-authoritative balls in play" [cannon shots out of the hopper] ...
  • necessary to produce an OPS of .890 [the Goal]?

A very low Plausibility Index indicates that the hitter needs very few "random-y singles" to reach .890.  The lowest for the Mariner system in 2012 was Mike Zunino's .112.  For guys who played the full season, it was Leon Landry at .242.  Once you get much over .350, then the likelihood of a hitter's actual success becomes less plausible (e.g., Jabari Blash at .373 and Ramon Morla at .355, despite decent-looking "regular" stats).

And, once we've set down that baseline, then we can consider that maybe some guys can "improve the aim of the cannon" or "expand the size of the window" (e.g., through speed).  But, when we do, we need to recognize that it is something other than producing by hitting the ball with authority, drawing walks and avoiding strikeouts.

 

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blissedjThanks for that G! More depth. We should have about 8-10 young guys fighting for the 3-5 spots next year. Hopefully no more Silva/Weaver/Bautista/Saunders/Millwood/Harang for us. Just cycle em through and see who sticks.1 hour 7 min ago
Gordon GrossI actually like Elias a lot. I remember when we got him his command and mechanics were supposed to be a problem, but I have NOT seen that. The Ms did good work with him down in A-ball to get him straight and he's learned quickly. His velo is fine for a lefty, and he's a smart pitcher. I don't like Cuban hitters but Cuban pitchers are an entirely different story. He's one I wanna keep around.1 hour 13 min ago
malcontentIt makes me sad that Adrian Beltre will probably go into the Hall of Fame as a Ranger.1 hour 21 min ago
blissedjG are you an Elias fan? Don't recall your take on him. Nice year in Cal league, good so far this year as well.1 hour 22 min ago
Gordon GrossNo argument, blissed - we definitely wait with starters. Which is funny because we throw relievers at the bigs like they're logs for the fire. Maurer got the surprise bump this year, and Pineda got it a couple years ago, but for the most part we're pretty shy about trusting young starters. I knew Paxton would be hard for this team to swallow (too many walks) and Walker is the same right now. It's not a coincidence that Maurer has a great minor league K:BB to go with good stuff. That's a comfort zone for us. I don't find anything comfortable about Harang and Saunders at the moment.1 hour 29 min ago
rick82Aargh this game is frustrating.1 hour 33 min ago
blissedjRoss Wolf for Texas, sorry. They pull em out of nowhere!1 hour 33 min ago
Gordon GrossI admit, I do like Sucre back there behind the plate. Some guys are just nice to watch (and comparing him to Montero certainly shines him up). I hope he can hit enough singles to make it worthwhile to keep him around as a backup.1 hour 35 min ago
blissedjWell Texas is just rolling along in first place with 3/5 of their rotation fill-ins. Lost Ogando, Harrison, Colby Lewis, Feliz. No top prospects to fill in, just marginal guys like Tepesch and Grimm and now Ross. We have the Big 3 uber-prospects and now 2 years later none have cracked the bigs. 5 years to build up some type of depth but we are barren besides the Big 4. I bet if Oakland had them last year both Paxton and Hultzen would have been in their rotation if needed. I mean throw Roenis Elias or Ruffin a bone or something!1 hour 36 min ago
rick82That was fast. Montero at first base tonight.1 hour 41 min ago
Gordon GrossBeavan was our #6, but he screwed himself up. Paxton is not "trustworthy" at 10K/9 and we don't want to burn his redshirt. Ditto the younger Walker. Carraway is a potential #6, IMO. I like him just fine as a BOR guy with good control - he doesn't have a lot of movement on his pitches but he has great accuracy and good deception. Good luck getting him on the 25 man. Every vet we got bombed, which is not what we're used to pitching in Safeco. Any idiot can pitch here unless they are Silva or Weaver bad. It's a hard knock life.1 hour 42 min ago
malcontentWell, they didn't have 4/6 of their top 6 options flop with 2 others sidelined with injury. The mariners were built to patch holes in the rotation, but not that many, no organization has that depth.1 hour 47 min ago
blissedj6.5 million ~flush~ M's only team in MLB with no capable #6 or 7 SP in AAA or AA? ERam and Hultzen really are killing us but you'd think there would be 1 or 2 others capable of filling in. Texas does it. Oakland does it. LAA has swingman Jerome Williams step right in when needed and might just powerflush Blanton and his contract soon. Nope, M's just keep rolling the same thing out there praying for a different result and some ROI.1 hour 52 min ago
malcontentRaul Ibanez is magic1 hour 54 min ago
Gordon GrossBased on what we're paying him, we're not deciding that tomorrow. Harang goes first. And we have to have somebody to replace him with. Don't think we're putting Carraway or Bonderman on the 25 Man (and 40 man) to make that happen. Those friggin' injuries to E-Ram and Hultzen have KILLED us this year. Hoping Paxton gets some run, but the "veteran arms" need to stop self-immolating. Please and thank you.1 hour 59 min ago
malcontentIt's weird that Adrian Beltre, the slayer if mediocre lefties, has looked feeble against Saunders2 hours 2 min ago
malcontentSo much for Safeco Joe, at what point do we question whether he's just done as a starting pitcher?2 hours 5 min ago
Gordon GrossJoe is falling apart at home now. Great.2 hours 5 min ago
Gordon GrossThis is the kind of regression to the mean I'll take. Ryan SHOULD be a .250 hitter, which is enough with his D and the occasional "just throw me for balls that aren't close to the plate" voodoo that he does. It's when he's a .130 hitter than he's untenable. Solid shots against righties make me happy.2 hours 13 min ago
malcontentHoly cow, had Brendan Ryan actually found out how to hit?2 hours 14 min ago