Site LogoEstimating Hypergeometric Successes


This JavaScript program computes the maximum likelihood estimator of, and conservative confidence intervals for, the number of successes in a population of known size when a sample of known size is drawn from the population without replacement. The population is assumed to consist of only two types of objects: successes and failures. The number of successes observed in the sample is known. 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). The annotated source code is available


Observed number of successes in the sample
Sample Size
Population Size
Confidence Level (%)

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