Stopping Times of Some One-Sample Sequential Rank Tests

A Note on Exponentially Bounded Stopping times of Certain One-sample Sequential Rank Order Tests

A simple proof of the exponential boundedness of the stopping time of the one-sample sequential probability ratio tests (SPRT’s) is obtained.

Bounded Stopping Times for a Class of Sequential Bayes Tests

Consider the problem of sequentially testing a null hypothesis vs an alternative hypothesis when the risk function is a linear combination of probability of error in the terminal decision and expected sample size (i.e., constant cost per observation.) Assume that the parameter space is the union of null and alternative, the parameter space is convex, the intersection of null and alternative is ...

Sequential Stopping Rules for Fixed-Sample Acceptance Tests

The occurrence of early failures in a fixed-sample acceptance test, where the sample observations are obtained sequentially, presents an interesting decision problem. I t may be desirable to abandon the test a t an early stage if the conditional probability of passing is small and the testing cost is high. This paper presents a stopping rule based on the maximum-likelihood estimate of total cos...

One-Sample Logrank Tests

Introduction This module computes the sample size and power of the one-sample logrank test which is used to compare the survival curve of a single treatment group to that of a historic control. Such is often the case in clinical phase-II trials with survival endpoints. Accrual time, follow-up time, and hazard rates are parameters that can be set. Several authors have presented sample size formu...

I Sequential Rank Tests for Location