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PIECEWISE REGRESSION: A SIMPLIFIED PROCEDURE†
Author(s) -
Wainer Howard
Publication year - 1971
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1971.tb00450.x
Subject(s) - segmented regression , jackknife resampling , piecewise , mathematics , statistics , regression , regression analysis , cross sectional regression , sample (material) , regression diagnostic , econometrics , polynomial regression , estimator , mathematical analysis , chemistry , chromatography
A recurring problem is the estimation of regression parameters when the data sample is hypothesized to have been generated by more than a single regression model. This problem of ‘piecewise regression’ has been examined previously by using a combination of regression theory and hierarchical cluster analysis. The approach espoused here is applicable in a limited domain, but when it applies allows a solution to be found with very little calculation. Tukey's ‘jackknife’ is used to test the meaningfulness of any suggested subdivision of the regression curve into pieces. Two examples are included.