Details

Nomograms are graphical representations of mathematical relationships or laws. A detailed review of this topic appears in [1].

In this Demonstration, a graphical representation is given to provide interval estimates for a small-sample binomial scheme, based on the Clopper–Pearson method [2, 3]. A fixed 95% confidence level is used for the three sample sizes. The performance of the method has been studied in [4].

References

[1] R. Doerfler. "The Art of Nomography I: Geometric Design," Dead Reckonings: Lost Art in the Mathematical Sciences (blog). (Nov 18, 2019) myreckonings.com/wordpress/2008/01/09/the-art-of-nomography-i-geometric-design.

[2] Wikipedia. "Binomial Proportion Confidence Interval." (Nov 18, 2019) en.wikipedia.org/wiki/Binomial_proportion_confidence_interval.

[3] M. Thulin, "The Cost of Using Exact Confidence Intervals for a Binomial Proportion," Electronic Journal of Statistics, 8(1), 2014 pp. 817–840. doi:10.1214/14-EJS909.

[4] T. Garza. "Confidence Intervals, Confidence Levels and Average Interval Length" from the Wolfram Demonstrations Project—A Wolfram Web Resource. demonstrations.wolfram.com/ConfidenceIntervalsConfidenceLevelsAndAverageIntervalLength.