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tptest  

Universal Turning Point and Inflection Point Tests
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Download and install tptest package within the R console
Install from CRAN:
install.packages("tptest")

Install from Github:
library("remotes")
install_github("cran/tptest")

Install by package version:
library("remotes")
install_version("tptest", "1.0.3")



Attach the package and use:
library("tptest")
Maintained by
Muhammad Alkhalaf
[Scholar Profile | Author Map]
All associated links for this package
First Published: 2026-04-09
Latest Update: 2026-04-09
Description:
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>.
How to cite:
Muhammad Alkhalaf (2026). tptest: Universal Turning Point and Inflection Point Tests. R package version 1.0.3, https://cran.r-project.org/web/packages/tptest. Accessed 26 Aug. 2026.
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