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. Author manuscript; available in PMC: 2017 Sep 1.
Published in final edited form as: Am J Phys Med Rehabil. 2016 Sep;95(9):639–655. doi: 10.1097/PHM.0000000000000455

Table 3.

Hierarchical linear models for shoulder abduction and shoulder flexion ROM (degrees)

Abduction Coefficient (SE)

Variables Unconditional Model Final Model
Fixed effects
 Intercept 128.20 (1.56) b 127.97 (1.21) b
  Time a (linear rate of change) 7.76 (0.80) b 7.96 (0.71) b
  Time a (quadratic rate of change) −1.40 (0.16) b −1.44 (0.15) b
  Time a (cubic rate of change) 0.07 (0.01) b 0.08 (0.01) b
Time invariant covariates
 Intercept
  Ethnicity (Non-white) −6.66 (1.73) b
  Neoadjuvant chemotherapy −5.28 (2.26) c
  Type of surgery −30.54 (3.10) b
  Axillary dissection −11.32 (2.64) b
  Shoulder abduction (pre-operative, affected side) 0.64 (0.04) b
 Linear
  Lived alone at enrollment 3.86 (1.35) c
  Type of surgery 15.01 (1.83) b
  Axillary dissection 3.45 (1.51) c
  Adjuvant chemotherapy during 1styear 3.71 (1.23) c
 Quadratic
  Lived alone at enrollment −0.94 (0.32) c
  Type of surgery −2.38 (0.39) b
  Axillary dissection −0.66 (0.32) c
  Adjuvant chemotherapy during 1st year −0.86 (0.30) c
 Cubic
  Lived alone at enrollment 0.05 (0.02) c
  Type of surgery 0.11 (0.02) b
  Axillary dissection 0.04 (0.02) c
  Adjuvant chemotherapy during 1st year 0.05 (0.02) c
Variance components
 In intercept 815.74 b 435.74 b
 In linear rate 142.21 b 90.38 b
 In quadratic fit 5.07 b 3.41 b
 In cubic fit 0.01 b 0.01 b
Goodness-of-fit deviance (parameters estimated) 26350.367 (15) 25981.557 (32)
Model comparison χ2 (df) 368.81 (17) b
Flexion Coefficient (SE)

Variables Unconditional Model Final Model
Fixed effects
 Intercept 154.56 (0.98) b 154.49 (0.78) b
  Time a (linear rate of change) 4.50 (0.48) b 4.53 (0.43) b
  Time a (quadratic rate of change) −0.76 (0.10) b −0.77 (0.09) b
  Time a (cubic rate of change) 0.04 (0.01) b 0.04 (0.01) b
Time invariant covariates
 Intercept
  Years of education 0.37 (0.17) c
  Exercised preoperatively 3.02 (0.91) b
  Neoadjuvant chemotherapy −3.23 (1.16) c
  Breast pain functional interference score −1.67 (0.46) b
  Axillary dissection −2.19 (1.03) c
  Surgical drain placed −14.72 (1.64) b
  Shoulder flexion (pre-operative, affected side) 0.61 (0.04) b
 Linear
  Lived alone at enrollment 1.89 (0.77) c
  Type of surgery 2.82 (0.99) c
  Surgical drain placed 5.35 (1.01) b
  Adjuvant chemotherapy during 1st year 1.88 (0.71) c
 Quadratic
  Lived alone at enrollment −0.44 (0.19) c
  Type of surgery −0.67 (0.25) c
  Surgical drain placed −0.67 (0.22) c
  Adjuvant chemotherapy during 1st year −0.45 (0.18) c
 Cubic
  Lived alone at enrollment 0.03 (0.01) c
  Type of surgery 0.04 (0.02) c
  Surgical drain placed 0.03 (0.01) c
  Adjuvant chemotherapy during 1st year 0.02 (0.01) c
Variance components
 In intercept 321.92 b 185.43 b
 In linear rate 49.24 b 33.70 b
 In quadratic fit 1.59 b 1.17 b
 In cubic fit 0.004 b 0.003 b
Goodness-of-fit deviance (parameters estimated) 23226.56 (15) 22862.41 (24)
Model comparison χ2 (df) 364.15 (19) b
a

Time was coded 0 for initial visit post operative visit;

b

p < 0.001;

c

p < 0.05

df: degrees of freedom; SE: standard error