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The program display the optimized values of binomial distribution 95% confidence intervals for proportion from n = 2 to n = 534 computed using a completely new and original algorithm.
Usage (for n = 20, X = 5): /applied_statistics/binomial_distribution/?n=20
Or: /applied_statistics/binomial_distribution/?n=20&X=5
References for behaviour of other CI calculation methods:
 Binomial Distribution Sample Confidence Intervals Estimation 1. Sampling and Medical Key Parameters Calculation, Tudor DRUGAN, Sorana BOLBOACĂ, Lorentz JÄNTSCHI, Andrei ACHIMAS CADARIU, http://lejpt.academicdirect.org/A03.
 Binomial Distribution Sample Confidence Intervals Estimation 2. Proportion-like Medical Key Parameters, Sorana BOLBOACĂ, Andrei ACHIMAS CADARIU, http://lejpt.academicdirect.org/A03.
© June 2005, Lorentz JÄNTSCHI& Sorana BOLBOACĂ
 
cier
0.00%
0.55%
1.010%
0.00.51.001020
nX95%ciL95%ciUer
2000.0000.1470.000
2010.0030.2477.548
2020.0030.2974.317
2030.0530.3976.069
2040.0530.4484.367
2050.1020.4976.524
2060.1020.5475.263
2070.1520.5973.170
2080.2020.6473.699
2090.2530.6984.028
20100.2530.7484.139
20110.3020.7484.028
20120.3520.7973.699
20130.4030.8483.170
20140.4530.8975.263
20150.5030.8976.524
20160.5520.9484.367
20170.6030.9486.069
20180.7030.9984.317
20190.7530.9987.548
20200.8531.0000.000