Table 1.
Model selection results under different combinations of knots and degree when θ is normal, skewed, or bimodal.
| Normal | Skewed | Bimodal | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| AIC | BIC | HQIC | AIC | BIC | HQIC | AIC | BIC | HQIC | |||
| 2knots-degree3 | 34121.1 | 34582.5 | 34296.5 | 33954.3 | 34415.6 | 34129.6 | 32576.4 | 33037.7 | 32751.7 | ||
| 2knots-degree4 | 34099.8 | 34566.1 | 34277.0 | 33968.3 | 34434.5 | 34145.5 | 32639.4 | 33105.6 | 32816.6 | ||
| 3knots-degree3 | 34061.1 | 34531.7 | 34238.3 | 33815.8 | 34282.0 | 33993.0 | 32531.3 | 32997.6 | 32708.5 | ||
| 3knots-degree4 | 34089.8 | 34561.0 | 34268.9 | 33913.9 | 34385.0 | 34092.9 | 32499.8 | 32970.9 | 32678.8 | ||
| 4knots-degree3 | 34117.4 | 34588.5 | 34296.4 | 33762.6 | 34233.7 | 33941.7 | 32381.9 | 32853.0 | 32561.0 | ||
| 4knots-degree4 | 34055.6 | 34527.4 | 34236.5 | 33745.7 | 34221.8 | 33926.7 | 32456.2 | 32932.3 | 32637.2 | ||
| 5knots-degree3 | 34080.2 | 34556.3 | 34261.1 | 33715.4 | 34191.8 | 33896.4 | 32214.9 | 32690.9 | 32395.8 | ||
| 5knots-degree4 | 34119.7 | 34600.6 | 34302.5 | 33786.8 | 34267.8 | 33969.6 | 32268.4 | 32749.3 | 32451.1 | ||
| 6knots-degree3 | 34113.2 | 34594.1 | 34296.0 | 33710.9 | 34191.5 | 33893.7 | 32241.5 | 32722.5 | 32424.3 | ||
| 6knots-degree4 | 34068.5 | 34554.4 | 34253.2 | 33741.0 | 34226.9 | 33925.7 | 32317.9 | 32803.7 | 32502.5 | ||
The boldfaced values indicate the smallest AIC, BIC, and HQIC values in each column.