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Accurate Confidence Intervals

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Accurate Confidence Intervals

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18 Feb 2003 (Updated )

Computes especially accurate confidence intervals for proportions, rates, and their differences.

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Description

Estimates of proportion and rate-based performance measures may involve discrete distributions, small sample sizes, and extreme outcomes. Common methods for uncertainty characterization have limited accuracy in these circumstances. Accurate confidence interval estimators for proportions, rates, and their differences are included here, along with significance of difference estimators. The resulting confidence intervals have been validated and compared to common methods (see README). The programs search for confidence intervals using an integration of the Bayesian posterior with diffuse priors to measure the confidence level. The confidence interval estimators can find one or two-sided intervals. For two-sided intervals, either minimal-length, balanced-tail probabilities, or balanced-width can be selected.

Examples:
>> prop_ci(90,100,0.05)
ans = 0.9000 0.8313 0.9485

>> rate_ci(10,50,0.05,4,1)
r_hat, Lower CI Bound, Upper CI Bound, x, A, Desired alpha, Length, Lower Tail, Upper Tail, Actual alpha, Delta alpha, Run Time
ans = 0.2000 0.1098 0.3678 10.0000 50.0000 0.0500 0.2579 0.0250 0.0250 0.0500 -0.0000 0.8600

Required Products Statistics Toolbox
MATLAB release MATLAB 6.5 (R13)
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Comments and Ratings (3)
07 Mar 2013 Timothy Kinyanjui  
13 Jan 2009 Ged Ridgway

Extremely useful submission! Could do with citing more of the literature on this though, e.g.:
http://www3.interscience.wiley.com/journal/3156/abstract
http://dx.doi.org/10.1080/10629360500107527
http://projecteuclid.org/euclid.ss/1009213286
http://www.ine.pt/revstat/pdf/rs080204.pdf

11 Dec 2003 2r 23r  
Updates
10 Mar 2003

Minor corrections to prop_ci.m and README.txt

23 Dec 2003

Minor changes to more gracefully handle NaN inputs.

04 Feb 2004

Minor correct to ensuring integer inputs in prop_diff_ci.m

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