Journal Article10.1111/1467-842X.00059
Simplifying regression models using dimensional analysis
V.A. Vignaux,J.L. Scott +1 more
TL;DR: In this article, the authors show that Dimensional Analysis can make a contribution to model formation when some of the measurements in the problem are of physical factors, and they conclude that it can be used in the preliminary stages of regression analysis when developing formulations involving continuous variables with several dimensions.
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Abstract: SUMMARY Dimensional Analysis can make a contribution to model formation when some of the measurements in the problem are of physical factors. The analysis constructs a set of independent dimensionless factors that should be used as the variables of the regression in place of the original measurements. There are fewer of these than the originals and they often have a more appropriate interpretation. The technique is described briey and its proposed role in regression discussed and illustrated with examples. We conclude that Dimensional Analysis can be eectiv e in the preliminary stages of regression analysis when developing formulations involving continuous variables with several dimensions.
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Optimal preliminary design of electromechanical actuators
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References
•Book
Dimensional analysis and theory of models
Henry L. Langhaar
- 01 Jan 1951
TL;DR: Dimensional analysis as discussed by the authors is a technique that involves the study of dimensions of physical quantities and is used primarily as a tool for obtaining information about physical systems too complicated for full mathematical solutions to be feasible.
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Diagnostics for heteroscedasticity in regression
R. Dennis Cook,Sanford Weisberg +1 more
TL;DR: The purpose here is to provide appropriate diagnostic techniques to aid in an assessment of the validity of the usual assumption of homoscedasticity when little or no replication is present.