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. Author manuscript; available in PMC: 2019 Jan 25.
Published in final edited form as: J Am Stat Assoc. 2016 May 5;111(513):344–354. doi: 10.1080/01621459.2015.1008101

Table 5.

Relative biases (RB), standard errors (SE) and mean square errors (MSE*N) of the estimated quantile coefficients at quantile levels 0.1, 0.5 and 0.9 when the P(D|X) is mis-specified.

Link Methods τ = 0.5
τ = 0.9
RB (%) SE MSE × 103 RB (%) SE MSE × 103
Probit KS 1.2% 0.047 2.2 3.9% 0.056 3.2
SICO (m=10) −2.6% 0.044 1.9 −2.1% 0.052 2.7

Model (2) KS 1.5% 0.025 0.6 8.8% 0.095 9.2
(P0 = 0.1) SICO (m=10) −0.1% 0.024 0.6 −2.3% 0.089 8.0

Model (2) KS 2.6% 0.022 0.5 8.5% 0.089 8.1
(P0 = 0.2) SICO (m=10) 0.2% 0.021 0.4 −3.6% 0.081 6.6

Model (2) KS 3.1% 0.020 0.4 12.3% 0.086 7.7
(P0 = 0.3) SICO (m=10) 0.2% 0.019 0.4 −1.9% 0.079 6.2