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the normal approximation, then Pr(X ≤ 8) is approximated by Pr(Y ≤ 8.5). The addition of 0.5 is the continuity correction; the uncorrected normal approximation...

quick approximation to the standard normal distribution's cumulative distribution function can be found by using a Taylor series approximation: Φ ( x...

the distribution is tabulated For sample sizes above ~20, approximation using the normal distribution is fairly good. Alternatively, the null distribution...

Extending the normal approximation and Wald-Laplace interval concepts, Michael Short has shown that inequalities on the approximation error between the...

The earliest version of this theorem, that the normal distribution may be used as an approximation to the binomial distribution, is the de Moivre–Laplace...

preferable to use the t distribution rather than the normal approximation or the chi-squared approximation for a small sample size. Similarly, in analyses...

scores, and ti is the number of scores in the ith sample. The approximation to the standard normal distribution can be improved by the use of a continuity correction:...

maximal error of approximation between the normal distribution and the true distribution of the scaled sample mean. The approximation is measured by the...

logit-normal distribution is a probability distribution of a random variable whose logit has a normal distribution. If Y is a random variable with a normal...

and α and β >> 1 is approximately normal with mean 1/2 and variance 1/(4(2α + 1)). If α ≥ β the normal approximation can be improved by taking the cube-root...

null distribution of T {\displaystyle T} changes. Cureton derived a normal approximation for this situation. Suppose that the original number of observations...

Sciences, Fourth Edition, Duxbury Press, 1995. Feller, W., On the normal approximation to the binomial distribution, The Annals of Mathematical Statistics...

distribution that is normal, and then using another approximation after the log again to normal. This means that a big approximation part of the CI is from...

{O_{1}-np}{\sqrt {np(1-p)}}}\right)^{2}.} By the normal approximation to a binomial this is the squared of one standard normal variate, and hence is distributed as...

simple approximation to the exact interval endpoints can be derived using a normal approximation to the χ2 p,v distribution. This approximation gives the...

with the previous section is due mainly to inaccuracies with the normal approximation. In the frequentist setting, parameters are assumed to have a specific...

mathematics, Stirling's approximation (or Stirling's formula) is an asymptotic approximation for factorials. It is a good approximation, leading to accurate...

(2012-01-24). "On the existence of a normal approximation to the distribution of the ratio of two independent normal random variables". Statistical Papers...

Berry–Esseen theorem. Yet for many practical purposes, the normal approximation provides a good approximation to the sample-mean's distribution when there are 10...

(2006). Series approximation methods in statistics (3rd ed.). Springer. ISBN 0387322272. Wallace, D. L. (1958). "Asymptotic Approximations to Distributions"...