Accession Number : ADA183326

Title :   Optimization in Analytical Chemistry Using Robust Estimation.

Descriptive Note : Technical rept.,

Corporate Author : UTAH UNIV SALT LAKE CITY DEPT OF CHEMISTRY

Personal Author(s) : Phillips,Gregory R ; Eyring,Edward M

PDF Url : ADA183326

Report Date : 30 Jul 1987

Pagination or Media Count : 24

Abstract : Analytical chemists have long been concerned with obtaining optimal experimental conditions. robust estimation provides an additional method of increasing the efficiency of an analytical technique. This is illustrated for the determination of the true value, u, of a quantity which is measured with error. The least squares estimator of u is compared with the median and Huber estimates over a variety of error distributions in the vicinity of the Gaussian distribution. Simulation allows examination of the efficiency of an estimation procedure as a function of the error distribution. Results are presented which show the least squares estimator of u to be much more sensitive to a non-Gaussian error distribution than generally realized in the chemical community. Additionally, the arguments commonly used to support least squares estimation are critically examined. Keywords: Robust estimation, least squares estimator, Huber estimator, Gaussian distribution, non Gaussian error distribution.

Descriptors :   *ANALYTICAL CHEMISTRY, *MATHEMATICAL ANALYSIS, *LEAST SQUARES METHOD, ANALYTICAL CHEMISTRY, CHEMICALS, CHEMISTS, COMMUNITIES, DISTRIBUTION, ERRORS, ESTIMATES, LEAST SQUARES METHOD, MATHEMATICAL ANALYSIS, NORMAL DISTRIBUTION, OPTIMIZATION, SIMULATION, PROBABILITY, MATHEMATICAL MODELS, STATISTICAL FUNCTIONS, EXPERIMENTAL DATA, TEST AND EVALUATION, SPECIAL FUNCTIONS(MATHEMATICAL), DATA MANAGEMENT, ANALYSIS OF VARIANCE

Subject Categories : Statistics and Probability
      Physical Chemistry

Distribution Statement : APPROVED FOR PUBLIC RELEASE