مقایسهٔ روش‌ها

	نمونه‌گیری خوشه‌ای چندمرحله‌ای متناسب	نمونه‌گیری نظام‌مند
حوزه	روش‌شناسی پیمایش	روش‌شناسی پیمایش
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	1950s–1960s	Mid-20th century (Cochran 1953; Kish 1965)
پدیدآور	Leslie Kish; William G. Cochran (theoretical foundations)	William G. Cochran; formalized in survey sampling theory
نوع	Probability sampling design	Probability sampling design
منبع بنیادین	Kish, L. (1965). Survey Sampling. John Wiley & Sons. (Chapters 6–7 on multistage and PPS designs.) ISBN: 978-0471489009	Cochran, W. G. (1977). Sampling Techniques (3rd ed.). John Wiley & Sons. ISBN: 978-0471162407
نام‌های دیگر	proportional PPS multistage sampling, multistage probability proportional to size sampling, proportionate multistage cluster sampling, PPS multistage sampling	interval sampling, systematic random sampling, equal-interval sampling, fixed-interval sampling
مرتبط	6	5
خلاصه	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.	Systematic sampling is a probability sampling technique in which every k-th element is selected from an ordered list of the population after a random starting point. With population size N and desired sample size n, the sampling interval k = N/n is computed and one unit is chosen at random from the first interval; all subsequent units are selected by adding k repeatedly. The method is operationally simple, yields a spread-out sample, and often achieves lower variance than simple random sampling when the list has no harmful periodicity.