Optimal allocation designs for the allocation proportion are obtained in the present paper for a two-treatment situation, in a completely correlated setup where the sum of the responses no longer follows a binomial distribution. We consider treatment difference and odds ratio to find the optimal...

In this paper, we show the difference in the variance of the Mantel–Haenszel estimator and the profile maximum likelihood estimator of order O((kn)−3) or less, where the individual variances are of order O(n−1). Here n is the minimum number of samples available for any treatment in any...

In a two-sample clinical trial, a fixed proportion of true-and-surrogate and the remaining only-surrogate responses are observed. We quantify the increase in efficiency to compare the treatments as a linear function of the proportion of available true responses.