مقایسهٔ روش‌ها

	تحلیل بقا	مدل‌سازی چندسطحی
حوزه	آمار پژوهش	آمار پژوهش
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	1958	1992
پدیدآور	Edward L. Kaplan and Paul Meier	Anthony Bryk and Stephen Raudenbush
نوع	Method	Method
منبع بنیادین	Kaplan, E. L., & Meier, P. (1958). Nonparametric estimation from incomplete observations. Journal of the American Statistical Association, 53(282), 457–481.	Bryk, A. S., & Raudenbush, S. W. (1992). Hierarchical Linear Models: Applications and Data Analysis Methods. SAGE Publications.
نام‌های دیگر	Kaplan-Meier analysis, Cox regression, TTE analysis	HLM, mixed-effects models, random effects models, MLM
مرتبط	3	3
خلاصه	Survival analysis is a collection of statistical methods for modeling time from a defined starting point until an event of interest occurs (disease, recovery, death, equipment failure). Kaplan and Meier's nonparametric estimator (1958) and David Cox's proportional hazards model (1972) jointly enabled analysis of censored data—individuals whose event times are unknown because they left the study or were still event-free at follow-up. Indispensable in oncology, cardiology, infectious disease research, engineering reliability, and any field where time-to-event matters.	Multilevel modeling (also called hierarchical linear modeling, mixed-effects modeling) is a statistical framework for analyzing data organized in nested or clustered structures—students within schools, patients within hospitals, repeated measures within individuals. Developed by Bryk and Raudenbush (1992), it accounts for dependency among observations and partitions variance into levels (within-cluster and between-cluster), enabling valid inference and revealing context effects. Essential in education, medicine, organizational research, and any field where data have natural hierarchies.