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Can I read Approximate Confidence Intervals for One Proportion and Difference of Two Proportions on EtoBox?
Approximate Confidence Intervals for One Proportion and Difference of Two Proportions by Wei Pan is a Mathematics article available to read on EtoBox.
What is Approximate Confidence Intervals for One Proportion and Difference of Two Proportions about?
Constructing a conÿdence interval for a binomial proportion or the di erence of two proportions is a routine exercise in daily data analysis. The best-known method is the Wald interval based on the asymptotic normal approximation to the distribution of the observed sample proportion, though it is known to have a bad performance for small to medium sample sizes. Recently, Agresti and his co-workers proposed an Adding-4 method: 4 pseudo-observations are added with 2 successes and 2 failures and then the resulting (pseudo-)sample proportion is used. The method is simple and performs extremely well. Here we propose an approximate method based on a t-approximation that takes account of the uncertainty in estimating the variance of the observed (pseudo-)sample proportion. It follows the same line of using a t-test, rather than z-test, in testing the mean of a normal distribution with an unknown variance. For some circumstances our proposed method has a higher coverage probability than the Adding-4 method.
Who reads Approximate Confidence Intervals for One Proportion and Difference of Two Proportions?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Wei Pan
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0167-9473)
- Published
- 2002
- Language
- EN
- Field
- Mathematics (Physical Sciences)