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The function binofit returns the MLEs and confidence intervals for the
parameters of the binomial distribution. Here is an example using random
numbers from the binomial distribution with n = 100 and p = 0.9.
r = binornd(100,0.9)
r =
88
[phat, pci] = binofit(r,100)
phat =
0.8800
pci =
0.7998
0.9364
The MLE for the parameter, p is 0.8800 compared to the true value of 0.9. The
95% confidence interval for p goes from 0.7998 to 0.9364, which includes the
true value.
Of course in this made-up example we know the “true value” of p.
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