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. Author manuscript; available in PMC: 2015 May 1.
Published in final edited form as: Child Dev. 2013 Dec 13;85(3):861–881. doi: 10.1111/cdev.12190

Table 1.

Quantile Regression Sample Weight Matrix for Estimated Quantiles at τ = .45 and τ = .75

Quantile

.45 ξτ

Yi 5 7 9 11 13 25 30 31 35 40
5 0 1.10 2.20 3.30 4.40 11.00 13.75 14.30 16.50 19.25
7 0.90 0 1.1 2.2 3.3 9.9 12.65 13.2 15.4 18.15
9 1.80 0.90 0 1.1 2.2 8.8 11.55 12.10 14.30 17.05
11 2.70 1.80 0.90 0 1.1 7.7 10.45 11.00 13.20 15.95
13 3.60 2.70 1.80 0.90 0 6.6 9.35 9.9 12.1 14.85
25 9.00 8.10 7.20 6.30 5.40 0 2.75 3.3 5.5 8.25
30 11.25 10.35 9.45 8.55 7.65 2.25 0 0.55 2.75 5.5
31 11.70 10.80 9.90 9.00 8.10 2.70 0.45 0 2.2 4.95
35 13.50 12.60 11.70 10.80 9.90 4.50 2.25 1.80 0 2.75
40 15.75 14.85 13.95 13.05 12.15 6.75 4.50 4.05 2.25 0

Sum 70.20 63.20 58.20 55.20 54.20 60.20 67.70 70.20 84.20 106.70

Quantile

.75 ξτ

Yi 5 7 9 11 13 25 30 31 35 40

5 0 0.50 1.00 1.50 2.00 5.00 6.25 6.50 7.50 8.75
7 1.50 0 0.5 1 1.5 4.5 5.75 6 7 8.25
9 3.00 1.50 0 0.5 1 4 5.25 5.50 6.50 7.75
11 4.50 3.00 1.50 0 0.5 3.5 4.75 5.00 6.00 7.25
13 6.00 4.50 3.00 1.50 0 3 4.25 4.5 5.5 6.75
25 15.00 13.50 12.00 10.50 9.00 0 1.25 1.5 2.5 3.75
30 18.75 17.25 15.75 14.25 12.75 3.75 0 0.25 1.25 2.5
31 19.50 18.00 16.50 15.00 13.50 4.50 0.75 0 1 2.25
35 22.50 21.00 19.50 18.00 16.50 7.50 3.75 3.00 0 1.25
40 26.25 24.75 23.25 21.75 20.25 11.25 7.50 6.75 3.75 0
Sum 117.00 104.00 93.00 84.00 77.00 47.00 39.50 39.00 41.00 48.50