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. 2013 May 15;8(5):e63366. doi: 10.1371/journal.pone.0063366

Table 3. Reference equations of commonly applied IOS indices for men.

Equations Coefficients of
Percentile Quantile value Intercept Age Height Weight
Z5 (kPa s L−1) 5% 0.18 1.2018022 −0.0025997 −0.0048804
50% 0.28 1.0719341 −0.0001490 −0.0059151 0.0029873
95% 0.47 0.6514286 0.0035450 −0.0026455
R5 (kPa s L−1) 5% 0.17 1.0685571 −0.0022403 −0.0043124
50% 0.26 0.9861137 −0.0001223 −0.0055278 0.0029891
95% 0.44 0.6683472 0.0029051 −0.0026280
R20 (kPa s L−1) 5% 0.13 0.6342369 −0.0019656 −0.0021069
50% 0.20 0.7722257 −0.0006446 −0.0037120 0.0013924
95% 0.32 1.1824320 −0.0003590 −0.0048639
R5–R20 (kPa s L−1) 5% 0.02 0.0358593 0.0003691 −0.0002018
50% 0.06 0.3140859 0.0004753 −0.0024277 0.0016455
95% 0.13 0.0705078 0.0014497 −0.0002216
(R5–R20)/R20*100 (%) 5% 11.57 37.8410856 0.2236991 −0.2295525
50% 29.92 31.9858256 0.4017027 −0.4662949 0.6370333
95% 61.12 −2.6268375 0.4546831 0.1793720
X5 (kPa s L−1) 5% −0.15 −0.5568254 −0.0004762 0.0025397
50% −0.09 −0.4670275 −0.0003344 0.0027755 −0.0010424
95% −0.04 −0.2058333 0.0006944 0.0006944
AX (Hz kPa s L−1) 5% 0.07 0.0430162 0.0012195 −0.0002327
50% 0.26 1.7584772 0.0027451 −0.0132469 0.0077552
95% 0.83 2.2955939 0.0161916 −0.0139157
Fres (Hz) 5% 8.48 26.6835318 0.0582454 −0.1720116 0.1003766
50% 13.35 24.9095582 0.1031097 −0.1874266 0.1675556
95% 18.53 10.1428126 0.1772368 −0.0120106

Equations are derived from lung healthy men aged 45 to 89 years. Quantile regression equations for median, 5th and 95th percentile with age in years, height in cm and weight in kg (e.g., Z5–50% = 1.0719341–0.0001490 age–0.0059151 height +0.0029873 weight).