DeepAI AI Chat
Log In Sign Up

Assurance for sample size determination in reliability demonstration testing

by   Kevin James Wilson, et al.

Manufacturers are required to demonstrate products meet reliability targets. A typical way to achieve this is with reliability demonstration tests (RDTs), in which a number of products are put on test and the test is passed if a target reliability is achieved. There are various methods for determining the sample size for RDTs, typically based on the power of a hypothesis test following the RDT or risk criteria. Bayesian risk criteria approaches can conflate the choice of sample size and the analysis to be undertaken once the test has been conducted and rely on the specification of somewhat artificial acceptable and rejectable reliability levels. In this paper we offer an alternative approach to sample size determination based on the idea of assurance. This approach chooses the sample size to answer provide a certain probability that the RDT will result in a successful outcome. It separates the design and analysis of the RDT, allowing different priors for each. We develop the assurance approach for sample size calculations in RDTs for binomial and Weibull likelihoods and propose appropriate prior distributions for the design and analysis of the test. In each case, we illustrate the approach with an example based on real data.


page 1

page 2

page 3

page 4


Bayesian approaches to designing replication studies

Replication studies are essential for assessing the credibility of claim...

Bayesian sample size determination for diagnostic accuracy studies

The development of a new diagnostic test ideally follows a sequence of s...

Sample Size Planning for Classification Models

In biospectroscopy, suitably annotated and statistically independent sam...

Bayesian Sample Size Determination for Planning Hierarchical Bayes Small Area Estimates

This paper devises a fully Bayesian sample size determination method for...

Optimal Sample Size Planning for the Wilcoxon-Mann-Whitney-Test

There are many different proposed procedures for sample size planning fo...