2005년 투수 Probabilistic Model of Range 순위

Player	InPlay	Actual Outs	Predicted Outs	DER	Predicted DER	Difference
Kirk Saarloos	553	41	23.33	0.074	0.042	0.03196
Kenny Rogers	665	49	33.01	0.074	0.050	0.02405
Greg Maddux	728	52	38.90	0.071	0.053	0.01799
Chan Ho Park	501	37	29.08	0.074	0.058	0.01581
Jake Westbrook	693	53	42.09	0.076	0.061	0.01574
Brad Radke	651	31	23.04	0.048	0.035	0.01223
Brett Myers	587	37	30.33	0.063	0.052	0.01136
Kip Wells	562	34	27.70	0.060	0.049	0.01121
Barry Zito	654	36	28.92	0.055	0.044	0.01082
Mark Mulder	659	48	41.34	0.073	0.063	0.01011
Roger Clemens	577	35	30.24	0.061	0.052	0.00825
Jose Lima	597	23	18.66	0.039	0.031	0.00727
Livan Hernandez	796	45	39.53	0.057	0.050	0.00687
Mark Redman	574	34	30.47	0.059	0.053	0.00614
Dontrelle Willis	716	39	34.64	0.054	0.048	0.00609
Aaron Harang	643	27	23.41	0.042	0.036	0.00558
Ramon Ortiz	567	25	22.09	0.044	0.039	0.00513
Tomo Ohka	596	27	24.19	0.045	0.041	0.00472
Johan Santana	604	29	26.28	0.048	0.044	0.00450
Carlos Silva	641	30	27.16	0.047	0.042	0.00443
Jake Peavy	521	24	21.87	0.046	0.042	0.00409
Zack Z Greinke	625	26	23.44	0.042	0.038	0.00409
Jamie Moyer	683	27	24.32	0.040	0.036	0.00392
Josh Fogg	571	26	23.86	0.046	0.042	0.00374
Javier Vazquez	626	34	31.74	0.054	0.051	0.00361
Josh Towers	706	32	29.86	0.045	0.042	0.00304
Woody Williams	513	19	17.45	0.037	0.034	0.00302
Matt Clement	582	21	19.28	0.036	0.033	0.00295
Kyle Lohse	607	26	24.28	0.043	0.040	0.00283
Runelvys Hernandez	523	16	14.53	0.031	0.028	0.00281
Derek Lowe	700	53	51.13	0.076	0.073	0.00267
John Patterson	543	16	14.59	0.029	0.027	0.00260
Jon Garland	706	38	36.20	0.054	0.051	0.00255
Pedro Martinez	564	19	17.64	0.034	0.031	0.00241
Noah Lowry	599	29	27.59	0.048	0.046	0.00235
Rodrigo Lopez	702	31	29.45	0.044	0.042	0.00220
Andy Pettitte	643	38	36.71	0.059	0.057	0.00200
Brandon Webb	689	43	41.95	0.062	0.061	0.00152
Brian Moehler	538	28	27.19	0.052	0.051	0.00151
John Smoltz	690	35	33.96	0.051	0.049	0.00151
Jeff Suppan	626	29	28.13	0.046	0.045	0.00139
Mark Buehrle	758	45	44.07	0.059	0.058	0.00122
Brian Lawrence	656	33	32.37	0.050	0.049	0.00095
Cory Lidle	607	30	29.65	0.049	0.049	0.00057
Freddy Garcia	708	28	27.87	0.040	0.039	0.00019
Tim Wakefield	678	24	24.27	0.035	0.036	-0.00040
Mike Mussina	545	27	27.33	0.050	0.050	-0.00061
Mark Hendrickson	633	23	23.51	0.036	0.037	-0.00080
Kris Benson	565	30	30.55	0.053	0.054	-0.00098
Chris Carpenter	667	42	42.99	0.063	0.064	-0.00148
Scott E Kazmir	522	15	15.87	0.029	0.030	-0.00166
Brett Tomko	625	20	21.07	0.032	0.034	-0.00172
Horacio Ramirez	667	43	44.16	0.064	0.066	-0.00174
Brandon Claussen	522	20	20.93	0.038	0.040	-0.00179
Paul Byrd	682	22	23.24	0.032	0.034	-0.00182
Bruce Chen	594	23	24.31	0.039	0.041	-0.00220
Matt Morris	633	26	27.67	0.041	0.044	-0.00264
Joel Pineiro	629	20	21.73	0.032	0.035	-0.00274
Joe Mays	564	23	24.63	0.041	0.044	-0.00289
Tom Glavine	720	42	44.09	0.058	0.061	-0.00290
Gustavo G Chacin	652	24	25.95	0.037	0.040	-0.00299
Chris Capuano	639	27	28.92	0.042	0.045	-0.00301
Jose Contreras	595	23	25.28	0.039	0.042	-0.00383
Bronson Arroyo	688	22	24.66	0.032	0.036	-0.00386
Doug Davis	615	27	29.53	0.044	0.048	-0.00411
Eric Milton	633	17	19.67	0.027	0.031	-0.00422
Brad A Halsey	550	21	23.39	0.038	0.043	-0.00435
John Lackey	598	24	26.70	0.040	0.045	-0.00452
Jason Johnson	718	33	36.44	0.046	0.051	-0.00480
Jason Marquis	664	23	26.42	0.035	0.040	-0.00514
Mike Maroth	683	19	22.62	0.028	0.033	-0.00530
Carlos Zambrano	592	34	37.18	0.057	0.063	-0.00536
Jamey Wright	563	22	25.48	0.039	0.045	-0.00618
Scott Elarton	585	11	14.74	0.019	0.025	-0.00640
Jeff Weaver	677	27	31.35	0.040	0.046	-0.00642
Esteban Loaiza	661	32	36.33	0.048	0.055	-0.00655
Victor Zambrano	532	22	25.55	0.041	0.048	-0.00668
Roy Oswalt	744	34	39.04	0.046	0.052	-0.00678
Tim Hudson	608	39	43.19	0.064	0.071	-0.00689
Doug Waechter	533	9	12.68	0.017	0.024	-0.00690
Bartolo Colon	678	17	22.27	0.025	0.033	-0.00777
Jarrod Washburn	567	16	20.83	0.028	0.037	-0.00852
Randy Johnson	618	23	29.00	0.037	0.047	-0.00970
Danny Haren	649	20	27.02	0.031	0.042	-0.01082
Joe M Blanton	624	18	24.81	0.029	0.040	-0.01091
Ryan Franklin	642	13	20.02	0.020	0.031	-0.01093
Jeff W Francis	594	17	23.50	0.029	0.040	-0.01095
Joe Kennedy	515	14	19.77	0.027	0.038	-0.01120
Cliff Lee	621	11	18.06	0.018	0.029	-0.01138
Jon Lieber	684	28	36.25	0.041	0.053	-0.01206
David Wells	622	15	23.11	0.024	0.037	-0.01304
C.C. Sabathia	574	17	24.76	0.030	0.043	-0.01351
Kevin Millwood	576	18	26.09	0.031	0.045	-0.01405
Brad Penny	555	25	32.86	0.045	0.059	-0.01417
Nate Robertson	624	24	33.38	0.038	0.053	-0.01504
Jeremy Bonderman	574	15	24.26	0.026	0.042	-0.01614
A.J. Burnett	577	19	28.56	0.033	0.049	-0.01657

☞ 케니 로저스와 그랙 매덕스가 최상위권이군요...

데이빗 핀토의 2005년 투수 PMR 순위입니다. 핀토의 수비스탯은 MGL의 UZR의 아이디어를 보다 구체적으로 실현했으며, 전 타구를 대상으로 측정을 했다는 점에서 더 신뢰도를 높일수 있었습니다.
I was basically repeating work done by Mitchel Lichtman which he named the Ultimate Zone Rating (UZR).

핀토는 다음의 6가지 요소를 바탕으로 수비수의 능력을 측정했습니다.

1. 공이 떨어진 지역
2. 타구의 유형 (플라이볼, 그라운드볼, 라인드라이브, 번트)
3. 타구의 강도 (슬로우, 미듐, 하드)
4. 경기장
5. 투수의 유형 (좌,우투수) 
6. 타자의 유형 (좌,우타자)