order restricted inference

CLME

CLME stands for Constrained Linear Mixed Effects. I wrote this R package (CRAN link) during my postdoctoral work at NIEHS. The fundamental idea is similar to the Jonckheere–Terpstra or any other test for ordered alternatives: If the treatment groups are ordinal, then a trend of some sort may be of interest. If a researcher has such a hypothesis, they can not only test for the ordered alternative, but they can constrain the estimation to respect the order from the alternative hypothesis.

Testing for Inequality Constraints in Singular Models by Trimming or Winsorizing the Variance Matrix

There are many applications in which a statistic follows, at least asymptotically, a normal distribution with a singular or nearly singular variance matrix. A classic example occurs in linear regression models under multicollinearity but there are …

CLME An R package for linear mixed effects models under inequality constraints

In many applications researchers are typically interested in testing for inequality constraints in the context of linear fixed effects and mixed effects models. Although there exists a large body of literature for performing statistical inference …

Reinterpreting the best biomarker of oxidative stress: The 8-iso-prostaglandin F2α/prostaglandin F2α ratio shows complex origins of lipid peroxidation biomarkers in animal models

Oxidative stress is elevated in numerous environmental exposures and diseases. Millions of dollars have been spent to try to ameliorate this damaging process using anti-oxidant therapies. Currently, the best accepted biomarker of oxidative stress is …