On sample size determination based on a Bayesian index of superiority for two independent binomial proportions
نویسنده
چکیده
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, respectively. In this paper, we propose a new method of calculation, by which we determine in advance the estimated difference between the posterior proportions and the value to be derived at the end of the test to obtain the necessary sample size. We provide the lists of necessary sample sizes with various assumptions and the calculation program using Mathematica. Subjects: Science; Mathematics & Statistics; Applied Mathematics; Mathematics for Biology & Medicine
منابع مشابه
Bayesian 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 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 کاملBayesian Sample Size Determination for Joint Modeling of Longitudinal Measurements and Survival Data
A longitudinal study refers to collection of a response variable and possibly some explanatory variables at multiple follow-up times. In many clinical studies with longitudinal measurements, the response variable, for each patient is collected as long as an event of interest, which considered as clinical end point, occurs. Joint modeling of continuous longitudinal measurements and survival time...
متن کاملBayesian Sample size Determination for Longitudinal Studies with Continuous Response using Marginal Models
Introduction Longitudinal study designs are common in a lot of scientific researches, especially in medical, social and economic sciences. The reason is that longitudinal studies allow researchers to measure changes of each individual over time and often have higher statistical power than cross-sectional studies. Choosing an appropriate sample size is a crucial step in a successful study. A st...
متن کاملBayesian and mixed Bayesian/likelihood criteria for sample size determination.
Sample size estimation is a major component of the design of virtually every experiment in medicine. Prudent use of the available prior information is a crucial element of experimental planning. Most sample size formulae in current use employ this information only in the form of point estimates, even though it is usually more accurately expressed as a distribution over a range of values. In thi...
متن کامل