مقایسهٔ روش‌ها

	نمونه‌گیری تصادفی ساده تناسبی	نمونه‌گیری خوشه‌ای
حوزه	روش‌شناسی پیمایش	روش‌شناسی پیمایش
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	Mid-20th century (formalized ~1950s–1970s)	Early-to-mid 20th century; canonical treatment 1953/1977
پدیدآور	William G. Cochran and survey statisticians (classical probability sampling tradition)	Formalized by William G. Cochran; roots in early 20th-century U.S. Census Bureau survey practice
نوع	Probability sampling technique	Probability sampling design
منبع بنیادین	Cochran, W. G. (1977). Sampling Techniques (3rd ed.). John Wiley & Sons. ISBN: 978-0471162407	Cochran, W. G. (1977). Sampling Techniques (3rd ed.). Wiley. ISBN: 978-0471162407
نام‌های دیگر	proportional SRS, probability-proportional simple random sampling, proportional random sampling	cluster random sampling, area sampling, one-stage cluster sampling
مرتبط	6	5
خلاصه	Proportional simple random sampling is a probability-based sampling technique in which units are drawn at random from each subgroup of the population in numbers proportional to each subgroup's share of the total population. This ensures the resulting sample mirrors the population's composition across key subgroups, while retaining the randomness and unbiasedness of simple random sampling within each group.	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.