| Gibbs_2PNO | Gibbs Implementation of 2PNO |
| Gibbs_4PNO | Gibbs Implementation of 4PNO |
| kappa_initialize | Initialize Thresholds |
| min2LL_4pno | Compute 4PNO Deviance |
| rmvnorm | Generate Random Multivariate Normal Distribution |
| Total_Tabulate | Calculate Tabulated Total Scores |
| update_2pno | Update 2PNO Model Parameters |
| update_ab_NA | Update a and b Parameters of 2PNO, 3PNO, 4PNO |
| update_ab_norestriction | Update a and b Parameters of 4pno without alpha > 0 Restriction |
| update_theta | Internal Function for Updating Theta in Gibbs Sampler |
| update_WKappaZ_NA | Update Lower and Upper Asymptote Parameters of 4PNO |
| Y_4pno_simulate | Simulate from 4PNO Model |