Personal website – any views expressed herein are my own unless otherwise obvious
“When the nonresponse rate is 91%, any sample is a convenience sample.” (Emphasis original.)
“Remember: just about no sample of humans is really a probability sample or even close to a probability sample, and just about no regression model applied to humans is correct or even close to correct. So we have to worry about sampling, and we have to worry about adjustment.”
(Gelman, blog [re]post, 2015)
“… the svyglm variance estimator generalises the familiar sandwich estimators to allow for non-trivial sampling.”
Thomas Lumley’s post.
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.
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.
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.