Linear Models | ||||||||
Parameter | Model | |||||||
Term | Estimate (C.I.) | P_Value | Adj.R.Squared | S.D. | t-Value | P -Value | ||
Linear Model | ||||||||
Percentile | 0.016 (0.0157, 0.0166) | 2.52E-87 | 0.9811 | 0.0656 | 5185.35 | 2.52E-87 | ||
Cubic Polynomial Model | ||||||||
First Order Percentile | 4.728 (4.657, 4.799) | 2.58E-111 | 0.9944 | 0.0358 | 5898.511 | 1.31E-109 | ||
Second Order Percentile | −0.177 (−0.248, − 0.106) | 3.15E-06 | ||||||
Third Order Percentile | 0.521 (0.449, 0.591) | 3.91E-26 | ||||||
Quintic Polynomial Model | ||||||||
First Order Percentile | 4.728 (4.698, 4.757) | 1.19E-145 | 0.9991 | 0.0149 | 20,617.98 | 1.59E-142 | ||
Second Order Percentile | −0.177 (−0.206, − 0.147) | 1.45E-20 | ||||||
Third Order Percentile | 0.520 (0.491, 0.550) | 3.85E-56 | ||||||
Fourth Order Percentile | 0.244 (0.215, 0.274) | 1.43E-29 | ||||||
Fifth Order Percentile | 0.208 (0.178, 0.237) | 7.22E-25 | ||||||
GAM Models | ||||||||
Parameter | Model | |||||||
Term | Estimated Degrees of Freedom | Residual Degrees of Freedom | statistic | P_Value | Log.Likelihood | Aliake Information Criterin | Bayesian Information Criterion | |
Smoothened Percentile | 8.8097 | 8.9893 | 8777.844 | 1.46E-19 | 273.484 | −525.3486 | −497.0799 |