Page 126 - Contributed Paper Session (CPS) - Volume 3

CPS1965 Chin Tsung R. et al.
Table 1. Some selected models with corresponding knots and residual
deviance, Male 1 to Male 15 for males and Female 1 to Female 15 for
females for mortality data in Malaysia (1991-2015)
Model ( = + ) Left tail Right tail Knots Number of Residual
parameters deviance

Male 1 1/ cubic cubic 7,12,17,22,27 19 8658
Male 2 1/ quadratic cubic 7,12,17,22,27 17 9779
Male 3 linear cubic 12,22,27,32 13 10410
Male 4 quadratic cubic 12,17,22 13 10754
Male 5 1/√ linear cubic 12,22,27,32 13 11738
Female 1 1/ cubic cubic 7,12,17,22,27 19 6897
Female 2 1/ quadratic cubic 7,12,17,22,27 17 7125
Female 3 1/√ linear cubic 12,17,22,32 13 7525
Female 4 1/√ linear cubic 17,22,27 11 7477
Female 5 log linear cubic 17,22,27 11 7628
Table 2. Parameter estimates and p-values for Male 1 and Female 1
Model Male 1 Model Female 1

Function Estimate p-value Estimate p-value
Intercept 40.09 <0.0001 -41.19 <0.0001
() = 1/( + 1) 18.59 <0.0001 98.89 <0.0001

01 = + 20.29 <0.0001 60.14 <0.0001
02 = + -4.293 <0.0001 -11.76 <0.0001
2
0 = + 0.2334 <0.0001 0.6746 <0.0001
3
1 = ( − 7) + -0.2882 0.0005 -0.9282 <0.0001
3
2 = ( − 12) + 0.1692 0.0093 0.4581 <0.0001
3
3 = ( − 17) + -0.3204 <0.0001 -0.4142 <0.0001
3
4 = ( − 22) + 0.3229 <0.0001 0.3227 <0.0001
3
5 = ( − 27) + -0.1185 <0.0001 -0.1156 <0.0001
3
-0.03168 <0.0001 -0.003129 <0.0001
01 = + -0.006892 <0.0001 -0.009127 <0.0001
02 = + 0.001624 <0.0001 0.002504 <0.0001
2
0 = + -0.00008946 <0.0001 -0.0001608 <0.0001
3
1 = ( − 7) + -0.0001132 0.0045 0.0002577 <0.0001
3
2 = ( − 12) + -0.00008143 0.0121 -0.0001899 <0.0001
3
3 = ( − 17) + 0.0001614 <0.0001 0.0001961 <0.0001
3
4 = ( − 22) + -0.0001621 <0.0001 -0.0001589 <0.0001
3
5 = ( − 27) + 0.00005913 <0.0001 0.00005714 <0.0001
3

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