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Thursday, March 11, 2004

SUSA Pennsylvania poll is skewed 

Kos reader explosiveliberal points out that the most recent Survey USA poll of Pennsylvania, showing Kerry ahead 49-47, is actually skewed in favor of Bush. This is how the voters in the sample voted in 2000:
Bush in 2000 -366 respondents
Gore in 2000 -300 respondents
And this in a state that went for Gore 51-46! What would the results have looked like with a balanced sample? Here's the raw data:

Bush in 2000 Gore in 2000 Other in 2000 Total
polled Bush 301 26 11 338
polled Kerry 54 267 19 340
polled undecided 11 7 3 21
total 366 300 34 700

Note: this data includes only the 700 out of 802 people polled who 1. voted in 2000 and 2. remember who they voted for. There were also 92 people polled who didn't vote in 2000 and an additional ten people who voted in 2000 but didn't remember who they voted for.

In 2000, Pennsylvania went 50.6% to Gore, 46.4% to Bush, and 3.0% other. A balanced sample of 700 people who voted in 2000 would therefore consist of 354 people who voted for Gore, 325 who voted for Bush, and 21 who voted for someone else. To see what would have happened had SUSA polled a balanced sample of voters, we scale the Bush column of the table by 325/366, the Gore column by 354/300, and the "other" column by 21/34:

Bush in 2000 Gore in 2000 Other in 2000 Total
polled Bush 267 31 7 305
polled Kerry 48 315 12 375
polled undecided 10 8 2 20
total 325 354 21 700

The totals in the rightmost column are what we're looking for. A balanced sample of 700 people who voted in 2000 would have preferred Kerry over Bush 375 to 305. Finally, we need to add back the people who didn't vote in 2000 or forgot who they voted for. These 102 people broke 52 for Kerry, 43 for Bush and 7 undecided. So the total balanced sample prefers Kerry over Bush 427 to 348. That's 53% Kerry, 43% Bush. Not bad!
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