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. Author manuscript; available in PMC: 2015 Jun 19.
Published in final edited form as: Adv Appl Stat. 2014 Nov 1;42(2):95–117.

Table 2. Parameters estimates for the nine growth models (standard errors in parentheses).

Models
Parameters Estimates H1 Cubic H2 Log-logistic Weibull H3 Gompertz Logistic Exponential
M 5.67 × 106** (0.63 × 106) n/a 7.08 × 106** (1.50 × 106) 4.49 × 108 (5.49 × 109) −7.54 × 106 (5.43 × 106) 0.02 × 106 (0.1 × 106) 5.86 × 107 (2.51 × 107) 3.50 × 106** (0.22 × 106) 0.06 × 106** (0.01 × 106)
α 404.25 (325.29) 16.91** (1.85) 448.57 (316.57) 4.47 × 106 (5.32 × 107) −7.57 × 106 (5.54 × 106) −6.02 (0.13 × 106) 7.78** (0.25) 121.23** (13.58) −0.07** (0.38 × 102)
β 8.58 × 10−2** (0.98 × 10−2) 131.49 (149.15) 29.10 × 10−2 (15.58 × 10−2) 2.58** (0.10) −1.18 × 10−5 (1.50 × 10−5) −1.9 (2.5) 1.87 × 10−2** (0.21 × 10−2) 0.10**(0.51 × 10−2) −5.31 × 10−4 (4.42 × 10−4)
γ 1404.25 (8.58 × 10−2) 1198.24 (3419.6) 10.75 ** (0.11) n/a 2.58** 0.16 0.30 (0.18) n/a n/a n/a
Θ n/a 26436.9 (21128.2) n/a n/a n/a -6.76 (0.14 × 106) n/a n/a n/a
AICC 1092.90 1093.96 1094.29 1161.53 1109.76 1113.85 1116.63 1161.53 1222.51
MSE 1.22 × 109 1.25 × 109 1.25 × 109 4.70 × 109 1.69 × 109 1.78 × 109 1.98 × 109 4.70 × 109 1.51 × 1010
R2 0.9982 0.9982 0.9982 0.9932 0.9976 0.9975 0.9971 0.9932 0.9781

Note:

*

p<0.05,

**

p<0.001