Stature Predicted Error Fx1 Fx2 Fx1x1 Fx2x2 Fx1x2 Det(H) Comment
75 75.48 -0.480 12.24 -2.78 -8.068 -1.189 3.418 -2.09 Saddle
84 83.01 0.993 11.13 -1.79 -7.008 -1.036 2.996 -1.72 Saddle
92 92.21 -0.207 7.989 -0.22 -4.136 -0.620 1.810 -0.72 Saddle
99 99.78 -0.784 8.993 -0.42 -5.075 -0.761 1.919 0.18 L. Max
108 107.69 0.310 7.693 -0.17 -4.113 -0.648 1.404 0.69 L. Max
115 114.57 0.430 5.797 0.281 -1.651 -0.371 0.565 0.29 L. Max
120 120.30 -0.301 5.745 0.047 -0.068 -0.289 0.298 -0.07 L. Max
126 125.78 0.220 6.959 -0.26 1.674 -0.211 0.092 -0.36 Saddle
131 131.39 -0.391 9.191 -0.76 1.542 -0.227 0.236 -0.405 Saddle
138 137.85 0.149 10.83 -1.12 -0.913 -0.267 0.552 -0.06 Saddle
145 144.74 0.255 10.46 -1.26 -4.136 -0.323 0.922 0.495 L. Max
152 152.16 -0.156 7.547 -0.94 -4.858 -0.256 0.842 0.534 L. Max
156 156.37 -0.366 5.421 -0.88 -4.543 -0.292 0.913 0.491 L. Max
160 159.77 0.229 3.216 -0.60 -3.045 -0.220 0.667 0.225 L. Max
163 162.46 0.541 1.236 -0.19 -1.187 -0.069 0.222 0.033 L. Max
163 163.03 -0.025 0.875 -0.19 -0.912 -0.079 0.228 0.020 L. Max
163 163.50 -0.496 0.532 -0.14 -0.578 -0.059 0.163 0.007 L. Max
164 163.93 0.066 0.182 -0.04 -0.192 -0.018 0.050 0.001 L. Max
Note: Fx1, Fx2, Fx1x1, Fx2x2, Fx1x2 and Det (H) denote the velocity with respect to age and chest circumference, acceleration with respect to age and chest circumference, the partial derivative with respect to age and chest circumference and determinant of 2×2 Hessian matrix, respectively. All L. Max are equal to local maximum in table 2.
Table 2: The summary of proposed model.