Sample Size Calculation for the Proportional Odds Model with Current Status Data

碩士 === 淡江大學 === 數學學系數學與數據科學碩士班 === 106 === In the study of current status data, when the failure of interest examined once, the available information are the examination time and the indicator of the failure has occurred or not by the examination time. Willamson, Lin and Kim (2009) proposed a sample...

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Bibliographic Details
Main Authors: Fang-Chen Yang, 楊芳甄
Other Authors: 温啓仲
Format: Others
Language:zh-TW
Published: 2018
Online Access:http://ndltd.ncl.edu.tw/handle/yf4m6r
Description
Summary:碩士 === 淡江大學 === 數學學系數學與數據科學碩士班 === 106 === In the study of current status data, when the failure of interest examined once, the available information are the examination time and the indicator of the failure has occurred or not by the examination time. Willamson, Lin and Kim (2009) proposed a sample size formula for current status data under the proportional hazards model with Weibull baseline distribution. However, a current status sample is not necessary to follow the proportional hazards model or satisfy the Weibull baseline assumption. In this thesis we consider another popular survival model, the proportional odds model, with a flexible baseline distribution (Sparling et al. 2006) includes Weibull, Log-Logistic. Log-Normal distributions. Under this model, we proposed a sample size formula for current status data. Simulations certify the validity of the formula, two real examples illustrate the applications of the method.