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tptest: Universal Turning Point and Inflection Point Tests

Performs turning point and inflection point tests for U-shaped and inverse U-shaped relationships in regression models. Implements the Sasabuchi (1980) test as extended by Lind and Mehlum (2010) with support for quadratic, cubic, log-quadratic, and inverse functional forms. Features include delta-method standard errors, Fieller confidence intervals, Simonsohn (2018) two-lines test, and parametric bootstrap. Designed for post-estimation analysis of linear models, panel models, and quantile regression. References: Lind and Mehlum (2010) <doi:10.1111/j.1468-0084.2009.00569.x>; Sasabuchi (1980); Fieller (1954) <doi:10.1111/j.2517-6161.1954.tb00159.x>.

Version: 1.0.3
Depends: R (≥ 4.0.0)
Imports: stats, graphics
Suggests: testthat (≥ 3.0.0), knitr, rmarkdown, lmtest, sandwich, plm, quantreg
Published: 2026-04-09
DOI: 10.32614/CRAN.package.tptest
Author: Muhammad Alkhalaf ORCID iD [aut, cre, cph]
Maintainer: Muhammad Alkhalaf <muhammedalkhalaf at gmail.com>
BugReports: https://github.com/muhammedalkhalaf/tptest/issues
License: GPL-3
URL: https://github.com/muhammedalkhalaf/tptest
NeedsCompilation: no
Materials: README, NEWS
CRAN checks: tptest results

Documentation:

Reference manual: tptest.html , tptest.pdf

Downloads:

Package source: tptest_1.0.3.tar.gz
Windows binaries: r-devel: tptest_1.0.3.zip, r-release: tptest_1.0.3.zip, r-oldrel: tptest_1.0.3.zip
macOS binaries: r-release (arm64): not available, r-oldrel (arm64): not available, r-release (x86_64): tptest_1.0.3.tgz, r-oldrel (x86_64): tptest_1.0.3.tgz

Linking:

Please use the canonical form https://CRAN.R-project.org/package=tptest to link to this page.

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.