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© June 2005 Lorentz JÄNTSCHI && Sorana Daniela BOLBOACĂ

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Optimized confidence intervals for binomial proportions


Last update (strlen doesn't work any more on images): January 15, 2012.
The program display the optimized values of binomial distribution 95% confidence intervals for proportion from n = 2 to n = 1000 computed using a completely new and original algorithm. Usage:
  • For (n = 20, X = 5):
    http://l.academicdirect.ro/Statistics/binomial_distribution/?n=20
  • For (n = 20):
    http://l.academicdirect.ro/Statistics/binomial_distribution/?n=20&X=5
  • Sorana D. BOLBOACA, Lorentz JÄNTSCHI, Optimized Confidence Intervals for Binomial Distributed Samples, International Journal of Pure and Applied Mathematics, Academic Publications, ISSN 1311-8080, Sofia, Bulgaria, 47(1), p. 1-8, Zbl pre05492615, 2008.
    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.
  • Results for (n = 20):
    cier
    0.00%
    0.55%
    1.010%
    0.00.51.001020
    nX95%ciL%95%ciU%95%ciL95%ciUer XLXU
    200014.750.00000.14750.00003
    2010.2524.750.00250.24757.54805
    2020.2529.750.00250.29754.31706
    2035.2539.750.05250.39756.06918
    2045.2544.750.05250.44754.36719
    20510.2549.750.10250.49756.524210
    20610.2554.750.10250.54755.263211
    20715.2559.750.15250.59753.170312
    20820.2564.750.20250.64753.699413
    20925.2569.750.25250.69754.028514
    201025.2574.750.25250.74754.139515
    201130.2574.750.30250.74754.028615
    201235.2579.750.35250.79753.699716
    201340.2584.750.40250.84753.170817
    201445.2589.750.45250.89755.263918
    201550.2589.750.50250.89756.5241018
    201655.2594.750.55250.94754.3671119
    201760.2594.750.60250.94756.0691219
    201870.2599.750.70250.99754.3171420
    201975.2599.750.75250.99757.5481520
    202085.251000.85251.00000.0001720