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. 2013 Oct 23;9(5):20130538. doi: 10.1098/rsbl.2013.0538

Table 1.

Player performance as a function of fWHR, base 10 logarithm of at-bats, age, body mass index, batting handedness and team employing the player. Heteroskedasticy robust s.e. clustered by team are presented in parentheses. Statistically significant levels are indicated by asterisks.

2011 season
2012 season
(A) (B) (C) (D) (E) (F)
panel I: home runs hit estimated via Poisson regression
 intercept −13.092 (1.648)*** −14.739 (1.620)*** −14.917 (2.859)*** −10.527 (1.581)*** −12.048 (0.688)*** −11.256 (0.369)***
 fWHR 3.384 (0.871)*** 1.834 (1.146) 1.361 (1.078) 2.445 (1.042)** 1.402 (0.975) 0.736 (0.961)
 at bats 3.066 (0.279)*** 3.230 (0.193)*** 3.350 (0.293)*** 3.027 (0.393)*** 3.080 (0.448)*** 2.965 (0.440)***
 age 0.030 (0.020) 0.013 (0.016) 0.004 (0.022) 0.001 (0.014) −0.021 (0.013) −0.033 (0.011)***
 BMI 0.176 (0.053)*** 0.211 (0.052)*** 0.154 (0.060)** 0.177 (0.062)***
 bat_right 0.274 (0.119)** 0.537 (0.125)***
 team fixed effects included included
n 104 104 104 102 102 102
 pseudo R2(%) 49.05 54.49 57.56 44.14 48.13 51.34
panel II: runs-batted-in estimated via Poisson regression
 intercept −5.132 (0.337)*** −6.025 (0.484)*** −5.652 (0.525)*** −5.273 (0.836)*** −5.970 (0.644)*** −5.728 (0.656)***
 fWHR 1.104 (0.187)*** 0.562 (0.298) 0.275 (0.235) 1.011 (0.383)*** 0.669 (0.474) 0.402 (0.513)
 at bats 2.494 (0.084)*** 2.533 (0.095)*** 2.500 (0.086)*** 2.486 (0.124)*** 2.507 (0.092)*** 2.499 (0.083)***
 age 0.010 (0.007) 0.003 (0.004) −0.003 (0.005) 0.019 (0.006)*** 0.011 (0.007) 0.009 (0.008)
 BMI 0.078 (0.010)*** 0.086 (0.009)*** 0.059 (0.021)*** 0.065 (0.024)***
 bat_right 0.206 (0.062)***  0.101 (0.069)
 team fixed effects included included
n 104 104 104 102 102 102
 pseudo R2(%) 71.09 72.99 74.14 66.90 68.01 68.55
panel III: slugging percentage estimated via ordinary least-squares regression
 intercept −0.102 (0.165) −0.220 (0.210) −0.191 (0.209) −0.074 (0.101) −0.158 (0.110) −0.176 (0.114)
 fWHR 0.131 (0.049)** 0.105 (0.058) 0.107 (0.052) 0.136 (0.061) 0.114 (0.058) 0.091 (0.052)
 at bats 0.094 (0.017)*** 0.091 (0.015)*** 0.090 (0.016)*** 0.077 (0.014)*** 0.076 (0.015)*** 0.076 (0.016)***
 age 0 (0.002) −0.001 (0.002) −0.001 (0.002) 0.000 (0.001) −0.001 (0.001) −0.001 (0.001)
 BMI 0.007 (0.002)** 0.007 (0.003) 0.005 (0.003) 0.007 (0.003)
 bat_right −0.005 (0.017) 0.017 (0.015)
team fixed effects included included
n 104 104 104 102 102 102
R2(%) 29.75 32.88 36.82 24.59 26.13 31.01

**p < 0.05, ***p < 0.01.