1. A Comparison of MLB Shortstops By Drew Jack and Lauren McNulty

2. Salary over $10 million Derek Jeter $21,600,000 Miguel Tejada $14,811,415 Rafael Furcal $15,730,196

3. Salary over $1 million Michael Young $6,174,974 Bobby Crosby $3,550,000 David Eckstein $4,500,000

4. Salary under $1 million Troy Tulowitzki $750,000 Hanley Ramirez $439,000 Jason Bartlett $416,600

5. Statistics Used for Comparison Offensive Statistics: OPS = OBP + SLG RC/AB = [(H + BB)(TB)/(AB + BB)]/AB Defensive Statistics: Fielding Percentage DP/GP *Used two proportions test

6. OPS JeterFurcalTejadaYoungEcksteinCrosbyTulowitzkiRamirezBartlett Jeter***0.0000.0000.000.00010.000 Furcal***0.9980.0000.000.90210.000 Tejada***0.0000.0000.000.00010.000 Young1.0021***0.29710.000 Eckstein111***1.00010.169 Crosby111***1.00010.810 Tulowitzki1.09810.7030.0000.00*** Ramirez0000.0000.0000.00*** Bartlett1111.0000.8310.19*** Cumulative p-values: Ramirez – 0 Jeter – 1 Tejada – 1 Tulowitzki – 2.801 Furcal – 2.9 Young – 3.299 Bartlett – 5.021 Eckstein – 5.169 Crosby – 5.81

7. RC/AB JeterFurcalTejadaYoungEcksteinCrosbyTulowitskiRamirezBartlett Jeter***0.0010.0000.0000.0170.9930.000 Furcal***0.8660.0000.0000.5971.0000.004 Tejada***0.2630.0000.0000.2091.0000.000 Young.999.134.737***0.3351.0000.000 Eckstein111***0.9911.0000.388 Crosby111***0.9961.0000.606 Tulowitzki.983.403.8910.6650.0090.004*** Ramirez.007000.0000.0000.000*** Bartlett1.99611.0000.6120.394*** Cumulative p-values: Ramirez – 0.007 Jeter – 1.011 Tejada – 1.472 Furcal – 2.467 Tulowitzki – 2.955 Young – 3.205 Bartlett – 5.002 Eckstein – 5.37 Crosby – 5.602

8. Fielding Percentage JeterFurcalTejadaYoungEcksteinCrosbyTulowitzkiRamirezBartlett Jeter***0.7390.8500.2850.9950.0030.024 Furcal***0.9991.0000.9531.0000.3380.582 Tejada***0.9380.9760.6060.9990.0300.119 Young.261.001.062***0.9810.0020.014 Eckstein.1500.024***0.9720.0010.005 Crosby.715.047.394***0.9970.0400.118 Tulowitzki.0050.0010.0190.0280.003*** Ramirez.997.662.9700.9980.9990.960*** Bartlett.976.418.8810.9860.9950.882*** Cumulative p-values: Tulowitzki – 0.056 Eckstein – 1.152 Young – 1.321 Crosby – 2.311 Jeter – 2.896 Tejada – 3.668 Furcal – 4.872 Bartlett – 5.138 Ramirez – 5.586

9. DP/GP JeterFurcalTejadaYoungEcksteinCrosbyTulowitskiRamirezBartlett Jeter***1.0001.0001.0001.0001.0000.988 Furcal***0.1060.0000.1250.9290.0280.000 Tejada***0.6960.0090.6720.9970.3180.005 Young0.0000.8940.304***0.9870.2110.004 Eckstein0.0001.0000.991***1.0000.8920.232 Crosby0.0000.8750.328***0.9840.2290.006 Tulowitzki0.0000.0710.0030.0130.0000.016*** Ramirez0.0000.9720.6820.7890.1080.771*** Bartlett0.0121.0000.9950.9960.7680.994*** Cumulative p-values: Tulowitzki – 0.103 Furcal – 1.188 Young – 2.4 Crosby – 2.422 Tejada – 2.697 Ramirez – 3.322 Eckstein – 4.115 Bartlett – 4.765 Jeter – 5.988

10. Combined p-values Our RankingsWashington Times Article 1.Troy Tulowitzki – 5.9151. Hanley Ramirez 2.Michael Young – 7.8252. Derek Jeter 3.Miguel Tejada – 8.8373. Michael Young 4.Hanley Ramirez – 8.9154. Miguel Tejada 5.Derek Jeter – 10.8955. Troy Tulowitzki 6.Rafael Furcal – 11.4276. Rafael Furcal 7.David Eckstein – 15.8157. Jason Bartlett 8.Bobby Crosby – 16.1458. David Eckstein 9.Jason Bartlett – 24.0769. Bobby Crosby

11. The Best Deal Percentage of Team’s Payroll 1.Tejada – 16.66% 2.Furcal – 13.27% 3.Jeter – 10.33% 4.Young – 9.05% 5.Crosby – 7.40% 6.Eckstein – 6.11% 7.Ramirez – 2.01% 8.Tulowitzki – 1.09% 9.Bartlett – 0.95% New Rankings 1.Tulowitzki – 7.005 2.Ramirez – 10.925 3.Young – 16.875 4.Jeter – 21.225 5.Eckstein – 21.925 6.Crosby – 23.545 7.Furcal – 24.697 8.Bartlett – 25.026 9.Tejada – 25.497

12. Derek Jeter’s salaries throughout his career 1996 - $120,000 1997 - $540,000 1998 - $750,000 1999 - $5,000,000 2000 - $10,000,000 2001 - $12,600,000 2002 - $14,600,000 2003 - $15,600,000 2004 - $18,600,000 2005 - $19,600,000 2006 - $20,600,000 2007 - $21,600,000 2008 - $21,600,000 Recent Contracts January 2008 – Tulowitzki signed 6-year, $30 million dollar contract May 2008 – Ramirez signed 6-year, $70 million dollar contract Average MLB Service High Salary – 11.66 seasons Middle Salary – 7.66 seasons Low Salary – 4 seasons

13. Conclusions There does not appear to be a great statistical significance between a player’s salary and their performance. Instead, it appears as if one’s salary is more closely tied to years of service in the league. More statistics would improve our rating system. It’s difficult to maintain a high level of performance for many years.

14. Works Cited Albert, Jim. Teaching Statistics Using Baseball. The Mathematical Association of America. Washington D.C.: 2003. baseball-reference.com cbssports.com espn.com http://www.washingtontimes.com/weblogs/n ational-pastime/2009/Mar/04/fantasy- rankings---shortstops/ http://www.washingtontimes.com/weblogs/n ational-pastime/2009/Mar/04/fantasy- rankings---shortstops/