We can haz margin of error?
Generally good use of survey data in a story from Stuff about the embattled Education Minister. They even quote a competing poll, which agrees very well with their overall statistic.
The omission, though, relates to the headline figure: “71pc want Parata gone – survey”. That’s a proportion “among voters from Canterbury”. Assuming that they don’t mean “voters” in any electorally-relevant sense, just respondents, we would expect about 120 of the 1000 respondents to be from Canterbury. The maximum margin of error is a little under 10%.
The fact that one region has 71% wanting Ms Parata gone when the overall national average is 60% would actually not be all that notable on its own. Since we already expect her to be less popular in ChCh, the difference is worth writing about, but if it’s worth a headline, it’s worth a margin of error.
Thomas Lumley (@tslumley) is Professor of Biostatistics at the University of Auckland. His research interests include semiparametric models, survey sampling, statistical computing, foundations of statistics, and whatever methodological problems his medical collaborators come up with. He also blogs at Biased and Inefficient See all posts by Thomas Lumley »