WHAT DOES IT MEAN TO FIND THE FACE OF THE FRANCHISE? PHYSICAL ATTRACTIVENESS AND THE EVALUATION OF ATHLETIC PERFORMANCE DAVE BERRI, ROB SIMMONS, JENNIFER VAN GILDER & LISLE O’NEILL WEAI Portland June 30 2010 Economics of the NFL UNIVERSAL BEAUTY (FIRST DOWN) “Beauty is in the eye of the beholder” Beauty affects our judgment from cradle to grave Sociological studies indicate proportion as a commonality Samuels (1994) says infants pay greater attention to symmetrical objects Honekopp (2006) finds human ratings of attractiveness confirm symmetry ratings SYMMETRY: QUANTITATIVE BEAUTY Measuring beauty in a quantitative manner Technological link between symmetry and human perception of attractiveness Gunes and Piccardi (2006) find high correlation between human ratings and digital ratings BEAUTY IN THE LABOR MARKET Hamermesh and Biddle’s findings 1. 2. Premium for beauty and penalty for ugliness 3 reasons for premium or penalty Olson and Marshuetz (2005) suggest beauty has a hiring impact Our paper differs through use of symmetry analysis DATA: WHY QUARTERBACKS? (SECOND DOWN) Data Richness Acquired from NFL.com Subjects: 312 Quarterbacks from 1994-2006 QBs seen as ‘the face of the franchise’, have a leadership role on team, role models for fans & young players, attract media publicity Contributing factors of Productivity measurement included in the “passer” rating Creation of 2 data sets: primary and secondary quarterbacks- which can be merged into one set METHOD AND THEORY (THIRD DOWN) Images provided by NFL homepage and Yahoo sports Theory: why would a GM hire a better-looking quarterback? Marginal revenue product Utility maximization Null Hypothesis, given that B2 is defined as the coefficient on the beauty variable: H0 : B2 = 0 [no impact of beauty on pay] HA : B2 > 0 [beauty has a positive effect on pay, given performance & experience] SYMMETRY ANALYSIS •Software: symmeter.com •Three Examples of Analysis and Results Symmetry Value: 98.87103438162 % Symmetry Value: 75.28242925108034 % Symmetry Value: 97.5382309740% DESCRIPTIVE STATISTICS Primary Quarterbacks Variable Mean Std Dev Minimum Maximum Symmetry 97.73 1.816 91.3 99.8 Cap Value 3.40 2.728 0 15.4 Plays 446.8 139.3 0 757 Attempts 386.5 125.5 160 691 Pro Bowler .4625 .4991 0 1 Secondary Quarterbacks Variable Mean Std Dev Minimum Maximum Symmetry 97.23 2.3199945 82.4700502 99.6671000 Cap Value 0.92 0.9322515 0.0331000 7.8953000 Plays 57.0 55.5572491 0 199.000000 Attempts 47.6 48.2062154 0 181.000000 Pro Bowler .1361 .3432255 0 1 FINAL MODEL RESULTS (FOURTH DOWN) Model: lnSAL = b0 + b1*PYARDS + b2*CPASSATT + b3*EXP + b4*EXPSQ + b5* DRAFT1 + b6*DRAFT2 + b7*VET + b8*NEWTM + b9*lnOFFSAL + b10*PB + b11*SYMMETRY + et (1) ESTIMATION Dependent Variable: Log of Salary Years: 1995 to 2006 n = 480, all QBs Robust standard errors reported. Qualifying condition is at least 1 play in previous season; rookies excluded OLS then Huber Robust Regression Variable PYARDS* CPASSATT* EXP* EXPSQ* DRAFT1* DRAFT2* VET* NEWTM* lnOFFSAL** PB* SYM** R-squared OLS RESULTS Standard Coefficient Error t-stat 0.00025 0.00003 8.630 0.00013 0.00003 4.880 0.133 0.052 2.570 -0.009 0.003 -2.940 0.809 0.080 10.160 0.614 0.137 4.490 0.456 0.115 3.950 -0.353 0.082 -4.290 0.287 0.120 2.390 0.186 0.069 2.680 0.041 0.017 2.470 0.64 Variable PYARDS* Standard Coefficient Error 0.00026 0.00003 t-stat 10.240 CPASSATT* EXP* EXPSQ* DRAFT1* DRAFT2* VET* NEWTM* 0.00011 0.169 -0.010 0.902 0.701 0.472 -0.356 0.00003 0.043 0.002 0.078 0.133 0.109 0.072 3.970 3.920 -4.390 11.580 5.280 4.320 -4.920 lnOFFSAL** PB* SYM** 0.249 0.201 0.038 0.118 0.072 0.017 2.100 2.780 2.230 NOTEWORTHY IMPLICATIONS Variables Primary Parameter Estimates Secondary Parameter Estimates Symmetry Black Black*Symmetry Draft1 Draft2 Pro Bowler Experience * * -0.12560 0.71490 * 0.37220 0.04630 0.03313 * 0.16980 2.71000 0.39060 0.43770 0.09830 Experience 2 QB Rating Change Team Year Attempts -0.01219 0.00435 0.55060 0.04576 0.00234 0.01189 0.00183 0.17300 0.03940 0.00183 *Variable not statistically significant. FUTURE RESEARCH AND THANK YOU (TOUCHDOWN) Caveats Consider using one stat per QB (average, lifetime max?) Recent literature indicates CPI over-deflates: different deflators may give different results; earlier regressions had year summies Quantile Regression was used in JSE QB Race study QB & receiver performances interact-QBs and receivers are each credited in stats for yards gained- who was really responsible?