Generalizing Logistic Regression Models to Two Sample Independent Test for Proportions / 推廣羅吉斯迴歸模型於兩獨立樣本間比率之檢定

碩士 / 國立臺北大學 / 統計學系 / 92 / Many clinical trials are conducted to develop a new drug or a new treatment comparing to an existing drug or a placebo. Usually, a new drug or a new treatment has to be proved to be more effective than that for the existing drug or placebo before practicing the new treatment or marketing the new drug. Suppose the effectiveness of a new drug is measured as a success (S) or a failure (F). There are many existing tests can be used to examine the effectiveness of the new drug for a binary response variable. For instance, a two independent sample Z test for proportions, the Pearson chi-square test, and the Likelihood ratio test. From the previous result, the power can be promoted by introducing the covariate into the experimental design under the same sample size. Thus, the purpose of this paper is to derive new tests that implying the information from a covariate. We use the logistic regression to construct the probability of success to construct the new test. Using the Monte Carlo simulations, the proposed methods have better powers than that for the conventional methods. Both proposed methods and conventional methods do not always preserve the type I errors.

Identiferoai:union.ndltd.org:TW/092NTPU0337025
Date January 2004
CreatorsHSU, CHIA-CHIEN, 許家蒨
ContributorsHWANG , YI-TING, 黃怡婷
Source SetsNational Digital Library of Theses and Dissertations in Taiwan
Languagezh-TW
Detected LanguageEnglish
Type學位論文 ; thesis
Format33

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