algorithm - wilson score interval possible results range -

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this question wilson score confidence interval (see here explanation).

i not completly understand scoring equation: equaltion http://www.evanmiller.org/rating-equation.png but.. need know range of possible results.

i need give 1 out of 3 medals user accordig rate.

(i have recipes created users, can "like" on them, , accordingly calculate rate of recipe. user rate calculated according recipes rates.)

thanks yoav

the equation returning bounds on probability, range should greater or equal 0 , less or equal 1.


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