Ma Junsheng, Chan Wenyaw, Tsai Chu-Lin, Xiong Momiao, Tilley Barbara C
Department of Biostatistics, The University of Texas Health Science Center, 1200 Pressler Street, Houston, 77030, Texas, U.S.A.
Department of Biostatistics, The University of Texas MD Anderson Cancer Center, Houston, 77030, Texas, U.S.A.
Stat Med. 2015 Nov 30;34(27):3577-89. doi: 10.1002/sim.6571. Epub 2015 Jun 29.
Continuous time Markov chain (CTMC) models are often used to study the progression of chronic diseases in medical research but rarely applied to studies of the process of behavioral change. In studies of interventions to modify behaviors, a widely used psychosocial model is based on the transtheoretical model that often has more than three states (representing stages of change) and conceptually permits all possible instantaneous transitions. Very little attention is given to the study of the relationships between a CTMC model and associated covariates under the framework of transtheoretical model. We developed a Bayesian approach to evaluate the covariate effects on a CTMC model through a log-linear regression link. A simulation study of this approach showed that model parameters were accurately and precisely estimated. We analyzed an existing data set on stages of change in dietary intake from the Next Step Trial using the proposed method and the generalized multinomial logit model. We found that the generalized multinomial logit model was not suitable for these data because it ignores the unbalanced data structure and temporal correlation between successive measurements. Our analysis not only confirms that the nutrition intervention was effective but also provides information on how the intervention affected the transitions among the stages of change. We found that, compared with the control group, subjects in the intervention group, on average, spent substantively less time in the precontemplation stage and were more/less likely to move from an unhealthy/healthy state to a healthy/unhealthy state.
连续时间马尔可夫链(CTMC)模型常用于医学研究中慢性病进展的研究,但很少应用于行为改变过程的研究。在行为改变干预研究中,一种广泛使用的心理社会模型基于跨理论模型,该模型通常有三个以上的状态(代表改变阶段),并且在概念上允许所有可能的瞬时转变。在跨理论模型框架下,很少有人关注CTMC模型与相关协变量之间关系的研究。我们开发了一种贝叶斯方法,通过对数线性回归链接来评估协变量对CTMC模型的影响。对该方法的模拟研究表明,模型参数能够准确且精确地估计。我们使用所提出的方法和广义多项logit模型分析了来自下一步试验的关于饮食摄入改变阶段的现有数据集。我们发现广义多项logit模型不适用于这些数据,因为它忽略了数据结构的不平衡以及连续测量之间的时间相关性。我们的分析不仅证实了营养干预是有效的,还提供了关于干预如何影响改变阶段之间转变的信息。我们发现,与对照组相比,干预组的受试者平均在未考虑阶段花费的时间显著减少,并且更有可能/不太可能从不健康状态/健康状态转变为健康状态/不健康状态。