Bayesian sample size determination for binomial proportions
نویسندگان
چکیده
منابع مشابه
On sample size determination based on a Bayesian index of superiority for two independent binomial proportions
In clinical study, calculation for sample size is often done using the frequentist framework. However, several methods of calculation using the Bayesian framework have been proposed. In this paper, we propose a method for the determination of sample sizes using the index θ = P ( π1 > π2|X1, X2 ) , where X1 and X2 denote the binomial random variables for trials n1 and n2 and parameters π1 and π2...
متن کاملBayesian Sample Size Computing for Estimation of Binomial Proportions using p-tolerance with the Lowest Posterior Loss
This paper is devoted to computing the sample size of binomial distribution with Bayesian approach. The quadratic loss function is considered and three criterions are applied to obtain p-tolerance regions with the lowest posterior loss. These criterions are: average length, average coverage and worst outcome.
متن کاملEstimation of Bayesian Sample Size for Binomial Proportions Using Areas P-tolerance with Lowest Posterior Loss
STIMATION of sample size is one of the questions that we often encounter in research and applied designs. Various methods have been proposed to estimate Bayesian sample size. Freedman and Spiegelhalter [11] and Spiegelhalte et al. [12], used Bayesian approach for anticipating hypothesis testing power. Adcock [1], Pham Gia and Turkkan [10] used it for interval estimation based on normal approxim...
متن کاملExact sample size determination for binomial experiments
In experiments designed to estimate a binomial parameter, sample sizes are often calculated to ensure that the point estimate will be within a desired distance from the true value with sufficiently high probability. Since exact calculations resulting from the standard formulation of this problem can be difficult, "conservative" and/or normal approximations are frequently used. In this paper, so...
متن کاملOn Sample Size Determination Based on a Bayesian Index of Non-inferiority for Two Independent Binomial Proportions
In drug development, non-inferiority tests are often employed to determine the difference between two independent binomial proportions. Many test statistics for non-inferiority are based on the frequentist framework. In this paper, we propose a method for the determination of sample sizes using the index ( ) , , 2 1 0 2 1 X X P ∆ − π > π = τ where 1 X and 2 X denote binomial random variables fo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bayesian Analysis
سال: 2008
ISSN: 1936-0975
DOI: 10.1214/08-ba310