ratio outside CI: 1 / 3.1514871That looks a lot like this ratio:

1/3.14159265and in fact agrees better than 1%. This has given me my new rule of thumb:

Attribute X about you is weird if only one in pi people share X with you.(Number of people that find this post interesting: < 1 in Pi.)

I was just investigating this too for an application I'm writing. I'm going way overboard, but I'm trying to get statistical improbability as a geometric distance, so I've decided to use the inverse of the cdf of the normal distribution to get it:

ReplyDeletepublic double geometricDisagreementTo(Double x){ double toMean = Math.abs(x - distribution.getMean());

double inverseArea = 1.0d / (2 * distribution.cumulativeProbability(distribution.getMean() - toMean));

double normalized = (inverseArea-1)/(3.15148718753437704787380015 - 1); return normalized;}problem is, 3.15148718753437704787380015 is wolfram alphas number, and Java's number seems to be slightly rounded, meaning in my testassertEquals(1.0, z_Wave.geometricDisagreementTo(-1.0));

fails: "Expected <1.0>, but was <1.0000000000000004>"

chance that you read this + chance that you care + chance that you understand < 1 in pi.

cheers,