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. Author manuscript; available in PMC: 2021 Jan 9.
Published in final edited form as: J Bone Miner Res. 2018 Oct 29;34(1):195–203. doi: 10.1002/jbmr.3589

Table 2.

β-Coefficients and SD for Mixed Effects Models Predicting TBLH BMC-Velocity and Lumbar Spine aBMD Velocity Using HT and HT-Velocity, With Corresponding Equations for Calculating Predicted Annualized BMD/aBMD-Vel-Z –Score

Model 1: HT & HT-Vel-adjusted

Female
Male
TBLH BMC-Vel-Z Tanner stage 1–2 Tanner stage 3–5 Tanner stage 1–2 Tanner stage 3–5
Age at beginning of interval 12.1 7.8 8.0** 76.1***
(Age at beginning of interval)2 −0.9 −0.6 −0.6 −2.9
TBLH-BMC at beginning of interval 0.12*** −0.02*** 0.14*** 0.01
HT at beginning of interval 0.22 3.6*** 0.17 3.4***
HV-Vel (cm/year) 7.1*** 21.4*** 10.5*** 28.4***
Constant −104** −472.1*** −110.7*** −1,006***
SD 25.69 53.32 30.1 76.11

Prediction equations:

Females Tanner stage 1–2: [TBLH-BMC-Vel – ((12.1*age0) + (−0.9*age02) + (0.1*TBLH-BMC0) + (0.2*Ht0) + (7.1*Ht-Vel) − 104)]/26
Females Tanner stage 3–5: [TBLH-BMC-Vel – ((7.8*age0) + (−0.6*age02) + (−0.02*TBLH-BMC0) + (3.6*Ht0) + (21.4* Ht-Vel) − 472)]/53.3
Males Tanner stage 1–2: [TBLH-BMC-Vel – ((8.0*age0) + (−0.6*age02) + (0.1*TBLH-BMC0) + (0.2*Ht0) + (10.5*Ht-Vel) − 111)]/30.1
Males Tanner stage 3–5: [TBLH-BMC-Vel – ((76.1*age0) + (−2.9*age02) + (0.01*TBLH-BMC0) + (3.4*Ht0) + (28.4*Ht-Vel) – 1006)]/76.1
Female
Male
LS aBMD-Vel-Z Tanner stage 1–2 Tanner stage 3–5 Tanner stage 1–3 Tanner stage 4–5

Age at beginning of interval −0.0105* 0.0087*** −0.0127*** 0.0315***
(Age at beginning of interval)2 0.0007* −0.0004*** 0.0007*** −0.0012***
LSaBMD at beginning of interval 0.0119 −0.0093 0.0154 0.0085
HT at beginning of interval 0.0002 0.0011*** 0.0004*** 0.0007***
HV-Vel (cm/year) 0.0035*** 0.0089*** 0.0046*** 0.0075***
Constant 0.0118 −0.1770*** −0.0057 −0.3052***
SD 0.0212 0.0304 0.0214 0.0328

Prediction equations:

Females Tanner stage 1–2: [LSaBMD-Vel – ((−0.0105*age0) + (0.0007*age02) + (0.0119*LSABMD0) + (0.0002*Ht0) + (0.0035*Ht-Vel) + 0.0118)]/ 0.0212
Females Tanner stage 3–5: [LSaBMD-Vel – ((0.0087*age0) + (−0.0004*age2) + (−0.0093*LSaBMD0) + (0.0011*Ht0) + (0.0089*Ht-Vel) −0.177)]/0.0304
Males Tanner stage 1–3: [LSaBMD-Vel – ((−0.0127*age0) + (0.0007*age02) + (0.01544*LSaBMD0) + (0.0004*Ht0) + (0.0046*Ht-Vel) −0.0057)]/0.0214
Males Tanner stage 4–5: [LSaBMD-Vel – ((0.0315*age0) + (−0.0012*age02) + (0.0085*LSaBMD0) + (0.0007*Ht0) + (0.0075*Ht-Vel) −0.3052)]/0.0328

aBMD = areal bone mineral density; BMC = bone mineral content; HT = height; HV = height velocity; LS = lumbar spine; TBLH = total body less head; Vel = velocity; Wt = weight.

*

p < 0.1

**

p < 0.05

***

p < 0.01.