A BOOTSTRAP TEST OF THE GOODNESS-OF-FIT OF THE MULTIVARIATE TOLERANCE MODEL

Abstract

The multivariate tolerance (MT) model is used to model multi-agent bioassay survival responses. When the MT model is appropriate, it can aid in identifying the biological mechanism of the survival response or motivate tolerance-based error reduction. A bootstrap test for the goodness-of-fit of the MT model is proposed. The proposed test has little level error, useful power, and makes a novel adjustment for the multiple testing character of the question of MT model goodness-of-fit. This adjustment may be more generally applicable in bootstrap testing.

Keywords:

• Multi-agent bioassay
• Survival response
• Synergy
• Tolerance-based error reduction
• Quantal bioassay

Acknowledgments