The method of paired comparisons (PC) endeavors to rank treatments presented in pairs to panelists (or respondents, judges, jurists, etc.) and they have to select the better one based on sensory evaluations. Sometimes the situations may occur when the panelists cannot discriminate between the treatments and declare a tie. In this study, an effort is made to extend the Weibull PC model to accommodate ties. The extended Weibull PC model is analyzed using Bayesian paradigm. Four different loss functions are used under noninformative (Uniform and Jeffreys) priors. The posterior and marginal posterior distributions are derived. The posterior estimates, posterior risks, preference probabilities, posterior probabilities and predictive probabilities are evaluated to know the ranking of ecological factor. The goodness of the proposed model is assessed. The entire analysis is carried out using a real data set based on the preference for the ecological factors.

配对比较 (PC) 方法致力于对成对呈现给小组成员（或受访者、法官、法学家等）的治疗进行排名，他们必须根据感官评估选择更好的治疗。有时，当小组成员无法区分治疗并宣布平局时，可能会发生这种情况。在这项研究中，努力扩展 Weibull PC 模型以适应关系。使用贝叶斯范式分析扩展的 Weibull PC 模型。在非信息性（Uniform 和 Jeffreys）先验下使用四种不同的损失函数。推导出后验分布和边缘后验分布。评估后验估计、后验风险、偏好概率、后验概率和预测概率，以了解生态因素的排名。评估了所提出模型的优点。