Summary:
The SegReg computer program (model) is designed to perform a segmented (piecewise) linear
regression of one dependent variable (Y, e.g. plant growth, crop yield) on
one (X) or two (X and Z) independent variables (e.g. crop
growth factors like depth of water table and soil salinity).
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Details:
The segmentation is done by introducing a breakpoint
(break-point, threshold). Thus one can obtain a broken, discontinuous, line.
Seven types of functions (0 to 6) are used. Examples are given.
The selection of the best function type and breakpoint is based on
maximizing the statistical coefficient of explanation (determination) and
performing the test of significance.
The 90% confidence interval (belt) is given as well as an Anova table for variance analysis.
In December 2008, a version was made permitting the use of weight factors, preferred
regression type or type exclusion. Although manipulative, it is available on request.
More details are found in the program itself.
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Start:
The mathematical model starts clicking on SegReg.Exe.
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Documentation:
A lecture note ("Data Analysis") on statistical analysis with examples of SegReg
applications is found on the articles page.
A paper on the statistical principles of segmented regression with break-point
can be inspected here.
The principles of regression analysis in general can be found in a lecture note
on the FAQ's page.
Also, analysis of variance (Anova) and the F-test for
segmented linear regression with break-point is briefly discussed in a paper
on the FAQ's page.
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Download:
SegReg
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