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MENGER: Stata module to compute the Menger curvature

Author

Listed:
  • Ariel Linden

    (Linden Consulting Group, LLC)

Programming Language

Abstract

menger computes the Menger curvature, which is a concept from geometry that measures how "curved" a triplet of points is, based on the circle that passes through them (see the wikipedia entry for greater detail). menger iterates through each triplet of values in yvar and finds the curvature value. The maximum curvature point indicates where the curve becomes more "flat" -- generally referred to as the "elbow" or "knee". menger_estat computes the Menger curvature as a post-estimation command following factor and pca, as a means of finding an alternative number of factors (components) to that used in Stata’s official factor or "eye-balled" with screeplot.

Suggested Citation

  • Ariel Linden, 2025. "MENGER: Stata module to compute the Menger curvature," Statistical Software Components S459528, Boston College Department of Economics, revised 12 Oct 2025.
    • Handle: RePEc:boc:bocode:s459528
    Note: This module should be installed from within Stata by typing "ssc install menger". The module is made available under terms of the GPL v3 (https://www.gnu.org/licenses/gpl-3.0.txt). Windows users should not attempt to download these files with a web browser.
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    File URL: http://fmwww.bc.edu/repec/bocode/m/menger.ado
    File Function: program code
    Download Restriction: no
    File URL: http://fmwww.bc.edu/repec/bocode/m/menger.sthlp
    File Function: help file
    Download Restriction: no
    File URL: http://fmwww.bc.edu/repec/bocode/m/menger_estat.ado
    File Function: program code
    Download Restriction: no
    File URL: http://fmwww.bc.edu/repec/bocode/m/menger_estat.sthlp
    File Function: help file
    Download Restriction: no
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