Estimation of Population Mean for Simon Designs

• Main Authors: Hsi-Hsun Ho, 何錫勳
• Other Authors: Yun-Chan Chi
• Format: Others
• Language: zh-TW
• Online Access: http://ndltd.ncl.edu.tw/handle/85441870265216171596

碩士 === 國立成功大學 === 統計學系碩博士班 === 94 === Generally, Simon two-stage designs are usually employed in Phase II clinical trails to avoid giving patients an ineffective drug. In the design, if the average of patients’ responses at the first stage reaches to a pre-specified value, then the second stage is allowed to continue. From statistician’s viewpoint, the average of responses at the first stage follows some truncated distribution, such as truncated normal distributions. Because of ignoring the truncation effect, the average of all responses in two stage experiments is an overestimated estimator. Therefore, parametric and nonparametric estimation methods are applied to take into account for the truncation effect. Furthermore, a simulation study is conducted to investigate the accuracy of these methods.