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【應數系演講】109-12-25 A robust likelihood approach to inference about the difference between two multinomial distributions in paired designs

發佈日期 : 2020-12-17 最後更新日期 : 2020-12-17

國立東華大學應用數學系

專    題    演    講

主講人:鄒宗山 所長(國立中央大學統計研究所)

講 題:A robust likelihood approach to inference about the difference between two multinomial distributions in paired designs

時 間:109 年 12月 25日 (星期五) 15:00-17:00

地 點:理工一館 A324室(大會議室)

摘  要

Pairing serves as a way of lessening heterogeneity but pays the price of introducing more parameters to the model. This complicates the probability structure and makes inference more intricate. We employ the simpler structure of the parallel design to develop a robust score statistic for testing the equality of two multinomial distributions in paired designs. This test incorporates the within-pair correlation in a data-driven manner without a full model specification. In the paired binary data scenario the robust score statistic becomes the McNemar’s test. We provide simulations and real data analysis to demonstrate the advantage of the robust procedure.

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