Tuesday, 27 June 2006
Ponderosa (poster/exhibit) (John Ascuaga’s Nugget Casino Resort)
201

Testing for the Randomness of Fluctuations in Product Yield and Water Quality

Paul Johnson, Biostatistical Software Development, Davis, CA and Ling Huang, Sacramento City College, Sacramento, CA.

Bootstrapping provides a statistical technique to test whether or not the variations in a series of product yields are independent of the order of the observations. The response variable of interest is the product yield of oxazoline (in %) and experiments at the University of California Davis were carried out at various levels of independent variables: temperature (oC); concentration of amino alcohol (Molar concentration); and concentration of toluenesulfonic acid (10-2 Molar concentration) [Huang, 1998]. Oxazoline is a heterocyclic compound. Heterocyclic compounds are widely used in many varied areas of science. Oxazolines have been used as a protecting group of carboxylic acids and, more recently, used as ligands for transition metals (Macedo, 2000). The resulting transition metal complexes are widely used as chiral catalysts for Diels-Alder reactions or for ketones reduction (Evans et al., 1995; Nishiyama et al., 1993). Toluenesulfonic acid acts as a catalyst. Oxazolines were synthesized from the condensation between an amino alcohol and carboxylic acid. The concentration of carboxylic acid was fixed at a constant in order to measure the effects of temperature, the concentration of amino alcohol and the amount of catalyst. The number of peaks and troughs in the series of product yield is found. 82 experiments were carried out. 1000 Bootstrap samples are generated. A turning point test, a run test and a rank correlation test are carried out to test for the randomness of fluctuations in product yield. A second data set consisting of 748 total nickel content (water quality data) was also used to illustrate the procedure. The U.S. Environmental Protection Agency (http://www.epa.gov) maintains a large dataset containing over 250 million observations of water quality monitoring data [part of the STORET (STOrage and RETrieval) system]. The second data (1990-1998 ambient water quality data) was retrieved from this system.

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