Improved likelihood ratio tests for testing marginal homogeneity in 2 × 2 contingency tables

• Main Authors: Jyun-Sheng Lin, 林峻陞
• Other Authors: Ming-Chung Yang
• Format: Others
• Language: zh-TW
• Published: 2009
• Online Access: http://ndltd.ncl.edu.tw/handle/n23nsa

碩士 === 國立中央大學 === 統計研究所 === 97 === This paper considers one-sided hypotheses for testing the marginal homogeneity in a binary matched-pairs design. First we use the exact unconditional tests based on the likelihood ratio statistic to obtain the p-value. The likelihood ratio p-value may be very conservative if the sample sizes are small or moderate. Alternatively, we consider the confidence interval p-value with the specified confidence coefficient, which was derived by Berger and Sidik (2003). But numerical calculations are not give a strong evidence to show that the confidence interval p-value is better than the likelihood ratio p-value for any case. On the other hand, the performance of confidence interval p-value is highly dependent on the choice of confidence coefficient, and hence such the p-value can be improved by using the unconditional approach again. Our numerical studies show that the improved confidence interval p-value is closer to and at least the nominal level than likelihood ratio p-value and confidence interval p-value in all sample sizes.