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Parameter estimates and confidence intervals for binomial data
Syntax
Description
phat =
returns a maximum likelihood estimate of the probability of success in a given binomial trial based on the number of successes, binofit(x,n)
x
, observed in n
independent trials. A scalar value for x
or n
is expanded to the same size as the other input.
[phat,pci] = binofit(x,n)
returns the probability estimate, phat
, and the 95% confidence intervals, pci
.
returns the [phat,pci] = binofit(x,n,alpha)
100(1-alpha)
% confidence intervals. For example, alpha
=
0.01
yields 99% confidence intervals.
Example
First we generate a binomial sample of 100 elements, where the probability of success in a given trial is 0.6. Then, we estimate this probability from the outcomes in the sample.
The 95% confidence interval, pci
, contains the true value, 0.6.
Reference
[1] Johnson, N. L., S. Kotz, and A.W. Kemp, "Univariate Discrete Distributions, Second Edition," Wiley 1992. pp. 124-130.
See Also
binocdf
, binoinv
, binopdf
, binornd
, binostat
, mle
![]() | binocdf | binoinv | ![]() |