UKURAN SAMPEL MINIMAL DATA TERSENSOR KANAN BERPASANGAN DENGAN MODEL FRAILTY STABIL POSITIF SEBAGAI FUNGSI SURVIVAL GABUNGAN; (MINIMAL SAMPLE SIZE OF PAIRED RIGHT-CENSORED DATA USING FRAILTY STABLE POSITIVE MODEL AS JOINT SURVIVAL FUNCTION)

Nursanti, Rizky A, Gunardi

2015 | Skripsi | FMIPA UGM

Determining sample size is the crucial thing in designing a study. One type of data which appear on research is paired right-censored data. By involving correlation between pair owned by paired data, would bring a joint function on both paired data and would affect variance calculation when determining sample size. One of the method used on right-censored data is Kaplan-Meier nonparametric method. In this thesis, mean and variance are used for sample calculation is mean and variance on the difference of Kaplan-Meier estimator on both paired data. Meanwhile for model joint sulvival distribution, positive stable frailty model is used. And with proposed method would be seen the impact of the accrual period and follow-up period in determining sample size. The result of this method show that ignoring the pair correlation would give an overestimating the required sample size.

Kata Kunci : Kaplan-Meier statistic; hazard function; paired observation; positive stable frailty model