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Continuity Correction

A correction to a discrete binomial distribution to approximate a continuous distribution.

P(a<=X<=b) approx P((a-1/2-np)/(sqrt(np(1-p)))<=z<=(b+1/2-np)/(sqrt(np(1-p)))),

where

z=((x-mu))/sigma

is a continuous variate with a normal distribution and X is a variate of a binomial distribution.

See also

Binomial Distribution, Normal Distribution

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References

Gonick, L. and Smith, W. The Cartoon Guide to Statistics. New York: Harper Perennial, p. 87, 1993.

Referenced on Wolfram|Alpha

Continuity Correction

Cite this as:

Weisstein, Eric W. "Continuity Correction." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ContinuityCorrection.html

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