This thesis focuses its e orts on presenting and studying the Nominal Response Model or NRM (Bock, 1972, 1997), in the context of the Item Response Theory (IRT). Simulation studies are carried out to determine the quality of the recovery of the parameters of the model, under the Classic (MML) and Bayesian (MCMC) aproach and nally, the studied model was applied to an random, representative and anonymous sample of 1641 teachers from the Basic Regular Education modality of the english specialty, who were exposed to the Reading-Comprehension sub-test of the \Concurso de Nombramiento 2015". Related to the simulation, we found the bayesian method is a good substitute for the classic counterpart, because it recovers in a similarly satisfactory fashion the parameters of the items; however, the main disadvantage was that the process was between 620 to 14; 100 times slower than the classical appro...

This thesis focuses its e orts on presenting and studying the Nominal Response Model or NRM (Bock, 1972, 1997), in the context of the Item Response Theory (IRT). Simulation studies are carried out to determine the quality of the recovery of the parameters of the model, under the Classic (MML) and Bayesian (MCMC) aproach and nally, the studied model was applied to an random, representative and anonymous sample of 1641 teachers from the Basic Regular Education modality of the english specialty, who were exposed to the Reading-Comprehension sub-test of the \Concurso de Nombramiento 2015". Related to the simulation, we found the bayesian method is a good substitute for the classic counterpart, because it recovers in a similarly satisfactory fashion the parameters of the items; however, the main disadvantage was that the process was between 620 to 14; 100 times slower than the classical appro...