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Member Research and Reports

Member Research and Reports

Georgia Southern: Further Increasing Fisher’s Information for Parameters of Association in Accelerated Failure Time Models via Double Extreme Ranks

In a follow-up to Dr. Hani Samawi’s (Georgia Southern University Jiann-Ping Hsu College of Public Health) 2002 introduction of Double Extreme Ranked Set Sampling (DRESS). He, Dr. Amal Helu (University of Jordan) and Dr. Haresh Rochani (Georgia Southern University) propose a new modification. DERSS was introduced as a modification to the well-known Ranked Set Sampling (RSS) and Extreme Ranked Set Sampling (ERSS). In this article, they provide a modification to DERSS scheme with ranking based on an easy-to-evaluate baseline auxiliary variable known to be associated with survival time. They show that using the modified DERSS improves the performance of the Accelerated failure time (AFT) survival model and provides a more efficient estimator of the hazard ratio than that based on their counterparts simple random sample (SRS), RSS and ERSS. Theoretical and simulation studies show the superiority of using the modified DERSS for AFT survival models compared with using SRS, RSS and ERSS. A numerical example based on Worcester Heart Attack Study is presented to illustrate the implementation of the DERSS.

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