Site LogoEstimating Binomial P


This JavaScript program computes the maximum likelihood estimator of, and conservative confidence intervals for, the success probability in a sequence of independent Bernoulli trials. The number of trials is assumed to be known as is the observed number of successes in those trials. The theory underlying the computations can be found in the paper Conservative Confidence Intervals for a Single Parameter by Mark Finkelstein, Howard G. Tucker and Jerry Alan Veeh, which appeared in Communications in Statistics: Theory and Methods volume 29 #8 pages 1911-1928 (2000). Some of the computational methods use algorithms from Applied Statistics Algorithms. The annotated source code is available


Observed number of successes
Number of trials
Confidence Level (%)

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