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. 2017 Nov;9(11):4538–4549. doi: 10.21037/jtd.2017.10.110

Table S3. Reference equations for males and female.

Index Males Females
FVC M = exp [−11.60152 + 2.48807 × ln(− in cm) + 0.08186 × ln (age in year) + Mspline] M = exp[−10.43245 + 2.24283 × ln(− in cm) + 0.06361 × ln(age in year) + Mspline]
S = exp[−2.07986 − 0.02848 × ln(age in year) + Sspline] S = exp[−5.39540 + 0.70141 × ln(− in cm) − 0.08967 × ln(age in year) + Sspline]
L = 2.1201 − 0.4893 × ln(age in year) L = 0.4573
LLN (5th) = exp[ln(M) + ln(1 − 1.645 × L × S)/L] LLN (5th) = exp[ln(M) + ln(1 − 1.645 × L × S)/L]
FEV1 M = exp[−10.61669 + 2.27078 × ln(− in cm) + 0.06622 × ln(age in year) + Mspline] M = exp[−9.69716 + 2.09385 × ln(− in cm) + 0.02006 × ln(age in year) + Mspline]
S = exp[−2.15233 − 0.02138 × ln(age in year) + Sspline] S = exp[−2.36300 + 0.05648 × ln(age in year) + Sspline]
L = 0.5836 L = 0.4662
LLN (5th) = exp[ln(M) + ln(1 − 1.645 × L × S)/L] LLN (5th) = exp[ln(M) + ln(1 − 1.645 × L × S)/L]
FEV1/FVC% M = exp[5.12465 − 0.11084 × ln(− in cm) − 0.03726 × ln(age in year) + Mspline] M = exp[5.01251 − 0.07453 × ln(− in cm) − 0.05649 × ln(age in year) + Mspline]
S = exp[−8.3848 + 1.2030 × ln(− in cm) − 0.1214 × ln(age in year) + Sspline] S = exp[−3.1856 + 0.1298 × ln(age in year) + Sspline]
L = 5.2356 − 0.9546 × ln(age in year) L = 9.601 − 2.177 × ln(age in year) + Lspline
LLN (5th) = exp[ln(M) + ln(1 − 1.645 × L × S)/L] LLN (5th) = exp[ln(M) + ln(1 − 1.645 × L × S)/L]
PEF M = exp[−7.0972 + 1.6544 × ln(− in cm) + 0.2314 × ln(age in year) + Mspline] M = exp[−6.63189 + 1.61459 × ln(− in cm) + 0.08976 × ln(age in year) + Mspline]
S = exp[−2.12487 + 0.07994 × ln(age in year) + Sspline] S = exp[−2.14335 + 0.08554 × ln(age in year) + Sspline]
L = −0.7302 + 0.4091 × ln(age in year) + Lspline L = 0.549
LLN (5th) = exp[ln(M) + ln(1 − 1.645 × L × S)/L] LLN (5th) = exp[ln(M) + ln(1 − 1.645 × L × S)/L]
MMEF M = exp[−7.90640 + 1.75688 × ln(− in cm) + 0.04649 × ln(age in year) + Mspline] M = exp[−7.3652 + 1.7026 × ln(− in cm) − 0.0659 × ln(age in year) + Mspline]
S = exp[−1.57628 + 0.05703 × ln(age in year) + Sspline] S = exp[−1.67172 + 0.08597 × ln(age in year) + Sspline]
L = 0.4376 L = 0.455
LLN (5th) = exp[ln(M) + ln(1 − 1.645 × L × S)/L] LLN (5th) = exp[ln(M) + ln(1 − 1.645 × L × S)/L]

Spline is an age-specific contribution from the spline function. FVC, forced vital capacity; FEV1, forced expiratory volume in 1 second; PEF, peak expiratory flow; MMEF, maximal midexpiratory flow; LLN, lower limit of normal; M, indicates the predicted value; S, indicates scatter, the coefficient of variation; L, indicates location, the skewness.