On Strategies in Regression Analysis

Werner A. Stahel

October 2001

Abstract

Data analysis remains a subject of practise and informal teaching. In the 1980's, there were several attempts to formulate ingredients of a theory of data analysis, in which John Tukey took an active part. A branch of this field of statistical science consists of formalizing strategies for specified tasks. Such strategies can be used -- in addition to training -- for writing smart statistical procedures and programs for guided analysis. Furthermore, different strategies might be compared as to their success, as soon as there are evaluation criteria for the results -- another aspect of the theory of data analysis. This report focusses on sketching a strategy for multiple linear regression as a starting point. It is dedicated to John Tukey who gave his comments to a manuscript on it 17 years ago.

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