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	क्लस्टर सैंपलिंग (Cluster Sampling)	बहुस्तरीय मॉडलिंग
क्षेत्र	सर्वेक्षण पद्धति	अनुसंधान सांख्यिकी
परिवार	Process / pipeline	Process / pipeline
उद्भव वर्ष	Early-to-mid 20th century; canonical treatment 1953/1977	1992
प्रवर्तक	Formalized by William G. Cochran; roots in early 20th-century U.S. Census Bureau survey practice	Anthony Bryk and Stephen Raudenbush
प्रकार	Probability sampling design	Method
मौलिक स्रोत	Cochran, W. G. (1977). Sampling Techniques (3rd ed.). Wiley. ISBN: 978-0471162407	Bryk, A. S., & Raudenbush, S. W. (1992). Hierarchical Linear Models: Applications and Data Analysis Methods. SAGE Publications.
उपनाम	cluster random sampling, area sampling, one-stage cluster sampling	HLM, mixed-effects models, random effects models, MLM
संबंधित	5	3
सारांश	Cluster sampling is a probability sampling technique in which the population is divided into naturally occurring groups (clusters), a random sample of clusters is selected, and all — or a random subset of — members within each selected cluster are studied. It is especially practical when a complete population list is unavailable or when units are geographically dispersed, making individual random selection prohibitively expensive. One-stage cluster sampling surveys every member of selected clusters; two-stage designs add a second random draw within clusters.	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.