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Activity Number: 84
Type: Contributed
Date/Time: Sunday, July 29, 2012 : 4:00 PM to 5:50 PM
Sponsor: Section on Statistics and the Environment
Abstract - #304615
Title: A Quadratic Regression Model and Visualization for the Toxicity of Nanoparticles
Author(s): Fred J. Rispoli*+
Companies: Dowling College
Address: Department of Mathematics, Oakdale, NY, 11769-1999, United States
Keywords: quadratic regression model ; design of experiments ; toxicity of nanoparticles
Abstract:

Nanoparticles used in various commercial applications often find their way into the environment during the end-stage of product cycles. We report the influence of 9 parameters (pH, aeration, concentrations of MgSO4, CaCl2, KCl, natural organic matter, fructose, nanoparticles and E. coli) on the toxicity of nanoparticles. A statistically based DOE is used to produce a least-squares quadratic regression model developed to understand the collective influence of the tested parameters. The DOE has many points concentrated around the center of the design space to capture interactions, and is highly efficient requiring a relatively small number of design points. The model was implemented using a computer-based, interactive visualization tool developed using a "parallel coordinates" technique. The 9 dimensions of the input data-set are depicted as a set of parallel vertical line segments. Each experiment may then be visualized on these axes as a set of connected line segments that intersects each axis at the appropriate position. The visualization allows us to elucidate the effect of each of the parameters, in combination with other parameters, on the toxicity of nanoparticles.


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