Methoden vergleichen
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| Proportionale systematische Stichprobenziehung× | Einfache Zufallsstichprobe× | |
|---|---|---|
| Fachgebiet | Umfragemethodik | Umfragemethodik |
| Familie | Process / pipeline | Process / pipeline |
| Entstehungsjahr≠ | Mid-20th century (formalized ~1950s–1970s) | Early 20th century; systematized by Cochran 1953/1977 |
| Urheber≠ | Codified in classical survey sampling theory; see Cochran (1977) | William Gosset, Jerzy Neyman, and formalized by William Cochran |
| Typ | Probability sampling design | Probability sampling design |
| Wegweisende Quelle≠ | Cochran, W. G. (1977). Sampling Techniques (3rd ed.). Wiley. ISBN: 978-0471162407 | Cochran, W. G. (1977). Sampling Techniques (3rd ed.). John Wiley & Sons. ISBN: 978-0471162407 |
| Aliasnamen | proportional 1-in-k sampling, equal-probability systematic sampling, proportionate systematic selection, PPS systematic sampling | SRS, unrestricted random sampling, equal-probability sampling, EPSEM |
| Verwandt | 6 | 6 |
| Zusammenfassung≠ | Proportional systematic sampling combines systematic (every k-th element) selection with proportional allocation across subgroups, ensuring that each stratum contributes sample units in proportion to its share of the total population. The result is an equal-probability design that is administratively simple, spreads the sample evenly across an ordered frame, and eliminates the need for post-hoc weighting when strata are sampled at a uniform rate. | Simple random sampling (SRS) is the foundational probability sampling method in which every unit in the population has an equal and independent chance of being selected. Because selection is governed purely by chance, SRS eliminates systematic bias, supports unbiased estimation of population parameters, and provides the statistical baseline against which all more complex probability designs are evaluated. |
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