Volume 12, Issue 2, July 2013, Pages 191 - 199
Bayesian Test of Homogeneity in Transition Model for Longitudinal Ordinal Response Data with Missing Values
S. Noorian, M. Ganjali
Received 13 January 2012, Accepted 8 May 2013, Available Online 15 July 2013.
- https://doi.org/10.2991/jsta.2013.12.2.6How to use a DOI?
- Bayesian Analysis; Fluvoxamine Data; Homogeneity; Logistic Regression Model; Non-homogeneity; Transition (Markov) Models.
- For analyzing longitudinal ordinal response data, many methods are available to take into account the correlations between responses of the same individual where different methods use different approaches. One of the methods to consider this correlation is the transition (Markov) model. In this paper, we present a Bayesian test of homogeneity of a transition model for analyzing longitudinal ordinal response data. In other words we test whether the transition probabilities pmabt ’s, which are probabilities of moving to state b from state a of mth individual at time t, are the same for any given time t, i.e., pmabt = pmab. A cumulative logistic regression model and the Bayesian method, using MCMC, are implemented for testing the null hypothesis of homogeneity. We also define what a specific homogeneous covariate is. Our approach is applied on three-period longitudinal Fluvoxamine (a treatment for deregulation of serotonin in brain) data.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - JOUR AU - S. Noorian AU - M. Ganjali PY - 2013 DA - 2013/07 TI - Bayesian Test of Homogeneity in Transition Model for Longitudinal Ordinal Response Data with Missing Values JO - Journal of Statistical Theory and Applications SP - 191 EP - 199 VL - 12 IS - 2 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2013.12.2.6 DO - https://doi.org/10.2991/jsta.2013.12.2.6 ID - Noorian2013 ER -