利用Bartlett第二等式來估計有序資料的相關性; Estimating intra-cluster correlation in cluster ordinal data

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/43874

Title:	利用Bartlett第二等式來估計有序資料的相關性;Estimating intra-cluster correlation in cluster ordinal data
Authors:	洪玉紅;Yu-hong Hong
Contributors:	統計研究所
Keywords:	比例勝算模型;Bartlett第二等式;相關性的有序資料;Bartlett's second identity;correlated ordinal data;proportional odds
Date:	2010-07-01
Issue Date:	2010-12-08 14:23:56 (UTC+8)
Publisher:	國立中央大學
Abstract:	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.
Appears in Collections:	[Graduate Institute of Statistics] Electronic Thesis & Dissertation

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