TY - JOUR ID - 73611 TI - Modelling of Correlated Ordinal Responses, by Using Multivariate Skew Probit with Different Types of Variance Covariance Structures JO - Journal of Sciences, Islamic Republic of Iran JA - JSCIENCES LA - en SN - 1016-1104 AU - Zadkarami, Mohammad Reza AU - ghalani, Mohammad Reza AD - Statistics dept., Mathematical Sciences and computer college, shahid Chamran university of Ahvaz, Ahvaz, Iran AD - Statistics Dept. Mathematical Sciences and Computer college, Shahid Chamran university of Ahvaz, Ahvaz, Iran Y1 - 2019 PY - 2019 VL - 30 IS - 4 SP - 363 EP - 369 KW - Ordinal response KW - Multivariate fundamental skew probit KW - Variance covariance structures DO - 10.22059/jsciences.2019.260615.1007285 N2 - In this paper, a multivariate fundamental skew probit (MFSP) model is used to model correlated ordinal responses which are constructed from the multivariate fundamental skew normal (MFSN) distribution originate to the greater flexibility of MFSN. To achieve an appropriate VC structure for reaching reliable statistical inferences, many types of variance covariance (VC) structures are considered to model MFSN. Simulation methods are used to find the properties of the parameters estimate. The Schizophrenia Collaborative Study data invokes the proposed MFSN model. The results confirm that the first-order autoregressive (AR(1)) structure substantially enhances the estimation of the parameters. Furthermore, over time the drugs effect the schizophrenia treatment, noticeably.  UR - https://jsciences.ut.ac.ir/article_73611.html L1 - https://jsciences.ut.ac.ir/article_73611_fe71908c0598e0f6fe19480d28f1a1ee.pdf ER -