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A '''confidence interval''' is a [[mathematical interval]] between two values, based on a parameter. The purpose of the interval is to find the probability that the actual value of a parameter falls within the interval. They are often used to help prove the likelihood of [[causation]]. A "strong" confidence interval will have a well-defined, reasonable range, and the values of the parameter will fall in the interval frequently. While "frequently" is differently defined, it is often accepted as a 95% likelihood (sometimes phrased as "19 out of 20 times").

A '''confidence interval''' is a [[mathematical interval]] between two values, based on a [[parameter]]. The purpose of the interval is to find the probability that the actual value of a parameter falls within the interval. They are often used to help prove the likelihood of [[causation]]. A "strong" confidence interval will have a well-defined, reasonable range, and the values of the parameter will fall in the interval frequently. While "frequently" is differently defined, it is often accepted as a 95% likelihood (sometimes phrased as "19 out of 20 times").

==Notation==

==Notation==

In another practice, the confidence interval is used to find the interval as opposed to the probability. In the above process, you are given the probability (say, 95%) that a parameter falls within an interval, and from there, the interval itself must be found. Then, one can conclude that 95% of times, the parameter will fall within a given interval.

In another practice, the confidence interval is used to find the interval as opposed to the probability. In the above process, you are given the probability (say, 95%) that a parameter falls within an interval, and from there, the interval itself must be found. Then, one can conclude that 95% of times, the parameter will fall within a given interval.

[[Category:Mathematics]]

[[Category:Probability and Statistics]]