本文之目的在利用，當估計模型假設錯誤時，Bartlett的第二等式不正確的性質，來提出一個估計具相關性的有序資料間之相關係數的方法。 論文中提出的估計相關係數之方法，適用於比例勝算模型或其他合理的迴歸模型。 This thesis provides a new method for estimating the intra-cluster correlation in cluster ordinal data. This new method adopts the multinomial distribution as the working model and fixes it with the idea of robust likelihood originated from Royall and Tsou(2003). The violation of the Bartlett’s second identity is then made use of to give rise to a useful formula for the estimation of the correlation. This new means is applicable for any sensible link function that relates the response probabilities to the covariates.
