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A Rough Analysis In Statistical Accuracy
I've been a participant in a PB league for three somewhat-successful years now and while I have noticed that some of my players under- or overperformed I've never really taken the time to analyze just how much the differences were. Below is a table comparing the players on my team's real-life stats (mlb) with their simmed stats (pb). I only used stats where a player had 100 sim ab or bf. Also note that this is a real-time league. I have nothing but intuition for proof that a real-time league should be a bit less accurate than a standard league because of the fluctuating base stats but I'm going to make that assumption.
Player               vsR(mlb) vsR(pb) Diff      vsL(mlb) vsL(pb) Diff
Jorge Posada          944     824    -120(13%)   940     887    -057(6%)
Mike Sweeney          905     903    -002(0%)   1023     886    -137(13%)
Paul Konerko          856     937    +081(9%)    794     658    -136(17%)
Travis Lee            745     711    -034(5%)    
Jeff Kent            1032    1079    +047(4%)    983    1054    +071(7%)
Julio Lugo            832     848    +015(2%)   
Adrian Beltre         837     767    -070(8%)    827     863    +036(4%)
Jose Valentin         861     885    +024(3%)
Placido Polanco       718     840    +122(15%)   892     811    -081(9%)
Bernie Williams       994     915    -079(8%)    875     816    -059(7%)
Todd Hollandsworth    815     859    +044(5%)    
Raul Mondesi          834     752    -082(10%)   927     822    -105(11%)
Average % diff                          6.8%                      9.3%
Against righties it looks like my players were fairly close to expected performance. An average of 6.8% difference seems reasonable to me. Polanco's +15% is most likely attributed to his hot start and my heavy usage of him during that time. Posada's -13% is less easy to explain. A guess might be that there is a slight performance hit when a player plays while in a gold-Ready status. Posada, Williams and Mondesi seemed to be my biggest under-performers and they all played a portion of the season in gold-Ready. Just a thought - haven't really researched that theory.
Against lefties the difference in performance is larger but still within the 10% margin of error mentioned above. Hmmm vsR AB = 4166, vsL = 1604. vsR %Diff = 6.8%, vsL = 9.3%. Sample-size in action? :o)
Pitcher              vsR(mlb) vsR(pb) Diff      vsL(mlb) vsL(pb) Diff
Scott Elarton         757     794    +037(5%)    832     843    +011(1%)
Matt Clement          677     812    +135(17%)   806     767    -039(5%)
Jeff Suppan           866     870    +004(0%)    819     795    -024(3%)
Dustin Hermanson      715     760    +045(6%)    965    1207    +242(20%)
Carl Pavano           522     636    +114(18%)   915    1102    +187(17%)
Tony Armas Jr         547     587    +040(7%)    873     783    -090(10%)
Alex Fernandez        838     912    +074(8%)    741     708    -033(4%)
Danny Graves          662     688    +026(4%)    719     824    +105(13%)
Jeff Tam              526     441    -085(16%)   914    1089    +175(16%)
Vicente Padilla       627     854    +227(27%)   941     774    -167(18%)
Danny Patterson       770     869    +099(11%)   768     766    -002(0%)
Lance Painter         724     734    +010(1%)    840     912    +072(8%)
Average % diff                          10.0%                       9.6%
Yeah, yeah - not exactly the Braves rotation here but we'll be good...eventually...if we can stay healthy. The % of difference is much higher for my pitching than my hitting and mostly for the worst. Rampant platooning and a possible league tendency toward offense is the most likely explanation for this. Alot of my pitchers had substantial platoon differences and opposing managers tended to take advantage of this.