More referendum analysis

This time, with statistics! (Those make everything better.) All raw data come from the Election Results site, but the calculations thereon are mine, as are any transcription errors. I will also note up-front that there are a lot of factors in here, and in particular the electorate-level data do not necessarily correspond to individual voters, even collectively – the voting populations may be significantly different. They’re just interesting to look at.

(Edited to put the charts below the fold)

First up, because I was curious about the turnout: the 2008 turnout was 79.46%, while the referendum turnout was 54.04%. The electorate-by-electorate correlation is +0.806, for an r² of 0.650. That’s a middlingly strong correlation for data of this sort. As expected though there’s also a fairly strong negative correlation between turnout and voting yes: r = -0.480. Electorates with high No vote tend to have higher turnout as well.

Now for party vote correlations: as you’d expect, a high Green vote is strongly correlated with voting yes, with r = +0.788. National has the strongest negative correlation of the represented parties, at -0.280, followed by Act on -0.104. The Māori party has a negligible negative correlation as well, at -0.074 (skewed by their vote pattern), but most curious to me was United Future: a small, but noticeable positive correlation of +0.120. I don’t quite know what to make of that, but it wasn’t in line with my expectations at all. It’s not a terribly strong one, and the chart (see below) shows it may be more of an anomaly than anything else.

The combined Labour-Green-Progressive vote correlates at +0.533, while National-Act is at -0.266. Throwing United Future or the Māori Party to either side doesn’t make much difference.

Some charts showing the more striking results here:

Green Party vote vs Yes vote

Green Party vote vs Yes vote

I also have charts for the other parties and some others.

Finally, one non-referendum chart that I found intriguing: Green Party vote against United Future vote.

They have a positive correlation of +0.253, which isn’t strong but not at all negligible.

If anybody is interested in doing their own calculations, the SQLite database I have been using to store this is also available.  The schema should be straightforward. I’ve been plotting the charts with GNUPlot, and a couple of trivial Python scripts to transform it appropriately for that.

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