A song for discussion of the uses of weighting. In particular, Verse 1 hits the weighted mean (with a nod to Simpson’s paradox), Verse 2 connects with how/why poll data are weighted to help the sample more accurately reflect population characteristics, which can launch a discussion of what we adjust for (probability, sample design, demographics) and how (raking, matching, propensity weighting). This can be supported by examples in GAISE (https://www.amstat.org/docs/default-source/amstat-documents/gaisecollege...) and apps (e.g., https://sites.psu.edu/shinyapps/2018/12/03/weight-adjustment-in-surveys/). Finally, the Bridge touches on weighted regression. Lyrics by Larry Lesser from The University of Texas at El Paso; may be sung to the tune of the 1981 hit "The Waiting" by Tom Petty. The song received an honorable mention in the 2023 A-mu-sing competition. Thanks to UTEP’s Jose Villalobos for the song title and for contributing backing vocals and guitar to Larry’s on the recording.
- Prof Dev