A D-Optimality-Based Sensitivity Test

Abstract

Sensitivity tests are often used to estimate the parameters associated with latent continuous variables that cannot be measured. For example, each explosive specimen has a threshold. The specimen will detonate if and only if an applied shock exceeds this value. Since there is no way to determine the threshold of an individual, specimens are tested at various levels to determine parameters of the population. A new test described here produces efficient estimates of the parameters of the distribution, even with limited prior knowledge. This test efficiently characterizes the entire distribution and desired percentiles of any population.

KEY WORDS:

• Bruceton method
• Langlie method
• Optimal design
• Probit method