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Anonymous
Approximating binomial distribution 2017-06-12 02:09:40 Post No. 8971623
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Approximating binomial distribution 2017-06-12 02:09:40 Post No. 8971623
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I know that you can to quite a degree of accuracy use an approximating normal distribution to estimate a binomial distribution with large value of n and a value of p which is close to 0.5
I was wondering however if the normal distribution become a perfectly accurate representation of the binomial given that p=0.5 for any value of n.
Any /stat/ pros willing to help me out here?
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>>8971623
no it doesn't. it just mean you need a much smaller n to get a good approximation
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>>8971631
Alright thanks
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binomial distribution is discrete, normal distribution is continuous, so even as n approaches infinity, the normal approximation won't be equivalent to the binomial.
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>>8971639
Even if you are only approximating integer values of n? Of course with continuity correction
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>perfectly accurate
no. in fact, it's strictly impossible. binomial is a discrete distribution, normal is continuous.
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you will fail s2
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