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	बहु-चरणीय नमूनाकरण	आनुपातिक बहु-चरणीय प्रतिचयन
क्षेत्र	सर्वेक्षण पद्धति	सर्वेक्षण पद्धति
परिवार	Process / pipeline	Process / pipeline
उद्भव वर्ष	1950s–1960s (formalized in Kish 1965 and Cochran 1977)	1950s–1960s
प्रवर्तक	Leslie Kish; William G. Cochran	Leslie Kish; William G. Cochran (theoretical foundations)
प्रकार	Probability sampling design	Probability sampling design
मौलिक स्रोत	Kish, L. (1965). Survey Sampling. John Wiley & Sons. ISBN: 978-0471109495	Kish, L. (1965). Survey Sampling. John Wiley & Sons. (Chapters 6–7 on multistage and PPS designs.) ISBN: 978-0471489009
उपनाम	multistage cluster sampling, multi-stage sampling, nested sampling, hierarchical sampling	proportional PPS multistage sampling, multistage probability proportional to size sampling, proportionate multistage cluster sampling, PPS multistage sampling
संबंधित	5	6
सारांश	Multistage sampling is a probability-based design that selects a sample by working through two or more successive levels of a population hierarchy — for example, first selecting regions, then districts within those regions, then households within those districts. It makes large-scale surveys practical when a complete population list is unavailable or when the population is geographically dispersed, by concentrating fieldwork within a manageable number of sampled units at each stage.	Proportional multistage sampling is a probability sampling design that selects units across two or more hierarchical stages — for example, regions, then districts, then households — where the number of units drawn at each stage is proportional to the size of each higher-level unit. By weighting selection probabilities to match cluster size, it produces self-weighting samples that closely mirror the population structure and simplify variance estimation.