Analysis of reliability experiments with blocking

Abstract

Many reliability life tests contain blocking or subsampling. This is often the case when treatments are directly applied to test stands rather than individual specimen. Or, when specimens come from different production batches. Incorrectly assuming completely randomized design underestimates the standard errors due to overstating the true experimental degrees of freedom. In this paper, a survey of existing approaches to analyzing reliability life tests data under subsampling is conducted. We propose a method that integrates the idea of frailty, which accounts for the subsampling effect, and the technique of multiple imputation for analyzing experimental data. A step-by-step description of the approach is presented, followed by a numerical example based on a popular reliability dataset. Finally, comprehensive comparison studies between the proposed method and existing methods are conducted. © ICAQM 2013.