“… the svyglm variance estimator generalises the familiar sandwich estimators to allow for non-trivial sampling.”
Thomas Lumley’s post.
Tag: surveys
The Survey Package: why, how, and what? by Thomas Lumley
Exploring Complex Survey Data Analysis Using R – free book
Zimmer, S. A., Powell, R. J., & Velásquez, I. C. (2024). Exploring Complex Survey Data Analysis Using R: A Tidy Introduction with {srvyr} and {survey}. Chapman & Hall: CRC Press.
Sampling without replacement with specified marginal sampling probabilities
- Another way to not sample without replacement, by Thomas Lumley (26 Aug 2024)
- Sampling without replacement with unequal probabilities, by Peter Ellis (31 Aug 2024)
The {sampling} library by Yves Tillé and Alina Matei implements Brewer’s (1975) method – discussed above – as UPbrewer. Tillé’s (2023) review looks interesting too, cataloguing a bunch of incorrect methods and what to use instead.
References
Brewer, K.E.W. (1975), A simple procedure for sampling πpswor. Australian Journal of Statistics, 17, 166-172.
Tillé, Y. (2023). Remarks on some misconceptions about unequal probability sampling without replacement. Computer Science Review, 47, 100533.