Abstract

Chemometrics is a field of chemistry that studies the application of statistical methods to chemical data analysis. In addition to borrowing many techniques from the statistics and engineering literatures, chemometrics itself has given rise to several new data-analytical methods. This article examines two methods commonly used in chemometrics for predictive modeling—partial least squares and principal components regression—from a statistical perspective. The goal is to try to understand their apparent successes and in what situations they can be expected to work well and to compare them with other statistical methods intended for those situations. These methods include ordinary least squares, variable subset selection, and ridge regression.

Keywords

ChemometricsPartial least squares regressionPrincipal component regressionComputer scienceStatisticsOrdinary least squaresPrincipal component analysisRegression analysisField (mathematics)Data miningMathematicsEconometricsMachine learning

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Publication Info

Year
1993
Type
article
Volume
35
Issue
2
Pages
109-135
Citations
2188
Access
Closed

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Cite This

lldiko E. Frank, Jerome H. Friedman (1993). A Statistical View of Some Chemometrics Regression Tools. Technometrics , 35 (2) , 109-135. https://doi.org/10.1080/00401706.1993.10485033

Identifiers

DOI
10.1080/00401706.1993.10485033