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R. Deutsch, W. Piegorsch:
"Simultaneous lower confidence bounds on benchmark dose profiles for joint-action continuous data";
Report No. CS-2015-3, 2015; 12 pages.

Abstract
Benchmark analysis is a widely used tool in quantitative risk analysis. A core operation therein is estimation of minimum exposure levels, called Benchmark Doses (BMDs), that induce a pre-specified, adverse, Benchmark Response (BMR) in the target population or system. This approach is well understood when a sin-
gle hazardous stimulus is studied. Deutsch and Piegorsch (2013) expand the estimation paradigm from the single-stimulus setting to joint-action, two-agent studies with continuous response outcomes. They define the benchmark profile (BMP) as a two-dimensional analog of the single-dose BMD at which both agents achieve the speci-
fied BMR. We extend their results to show how confidence statements for the BMP can be constructed by inverting simultaneous confidence bands on the observed risk function. A simulation study reveals that these bands provide conservative coverage,
but improve on previously studied methods at higher BMR-levels.

Benchmark analysis Benchmark dose approach Benchmark profile Joint-action model Non-quantal data Risk analysis