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Unread 17-05-2015, 14:51
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Re: [FRC Blog] Two Championship Survey Results and Path Forward

Quote:
Originally Posted by Siri View Post
More than a quarter of the respondents are as against this proposal as it is possible to register on this scale. That's closed to 2,000 people in itself (numerically 1912.3 people). 55% of respondents are against the proposal; that's more than 4045 people. CD is vocal, but even assuming the relationship between CD and the survey sample (which is a weird assumption when n=7355), opposition by definition is not the minority opinion. And despite the scale shift, the "strongly opposed" outnumbers all those who voted 10, 9, and 8 combined. More people voted for 1 or 2 than voted for anything above 5.



Does anyone know if there's a standard method of "centering" a scale like this? (The true center is at 5.5, the average of 1 and 10). I don't have a statistical method of turning 4 buckets into 5, but I think the worst-case scenario would be that everyone who voted 1 would've voted 0, and everyone in 2 took 1 (no one votes 4). This creates a new weighted average of 3.92, which represents the low end of possibility: thus the average is somewhere between 3.92 and 4.47 when centered about 5. Did I handle that correctly?
This is simple to do by reducing to number of bins instead of increasing them. Put all responses below the Neutral choice, the 55%, in one bin and call it say bin 4 (to keep our median at 5), then put the 12% which are Neutral into bin 5, and those above neutral, the 33%, into bin 6. Finding the average this way, (55*4+12*5+33*6)/100 = 4.78. Interesting... this shows that giving more options for a positive response gave their average, 4.45 (which should have been 4.47) a skew in the negative response direction. Now the same calculation cannot done for a '1 vote per team' because that data is unavailable.
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