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. Author manuscript; available in PMC: 2018 Nov 28.
Published in final edited form as: Rev Econ Stat. 2015 Mar 2;97(1):14–28. doi: 10.1162/REST_a_00435

Table 10.

Reverse Simulation: Effects of Attenuation Bias on the Magnitude and Significance of Attractiveness Coefficients

Correlation in Attractiveness (1957–1992) Average Coefficient Coefficient Range Percentage Significant at 10% Level Percentage Significant at 5% Level
0.25 0.015 −0.041–0.072 30.09% 19.98%
0.40 0.025 −0.031–0.081 57.41% 44.42%
0.63 0.040 −0.012–0.094 91.85% 85.25%
0.87 0.057 0.012–0.103 99.89% 99.61%
1 0.067 0.025–0.114 100.00% 100.00%

The dependent variable is hypothetical 1992 earnings that on average exhibit a 6.7% attractiveness premium. The first column reports the assumed correlation between high school and adult attractiveness. The empirical models use the long set of covariates. For each row, the statistics are calculated from 100,000 iterations.