Binomial Distribution Sample Confidence Intervals Estimation 2. Proportion-like Medical Key Parameters
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ABSTRACT:
The accuracy of confidence interval expressing is one of most important problems in medical statistics. In the paper was considers for accuracy analysis from literature, a number of confidence interval formulas for binomial proportions from the most used ones.
For each method, based on theirs formulas, were implements in PHP an algorithm of computing.
The performance of each method for different sample sizes and different values of binomial variable was compares using a set of criteria: the average of experimental errors, the standard deviation of errors, and the deviation relative to imposed significance level. A new method, named Binomial, based on Bayes and Jeffreys methods, was defines, implements, and tested.
The results show that there is no method from considered ones, which to have a constant behavior in terms of average of the experimental errors, the standard deviation of errors, or the deviation relative to imposed significance level for every sample sizes, binomial variables, or proportions of them. More, this unfortunately behavior remains also for large and small subsets of natural numbers set. The Binomial method obtained systematically lowest deviations relative to imposed significance level (á = 5%) starting with a certain sample size.
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STATISTICS
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