# Can a linear model reproduce a Welch t-test?

This doodle was motivated Jake Westfall’s answer to a Cross-Validated question. The short answer is yes but most R scripts that I’ve found on the web are unsatisfying because only the t-value reproduces, not the df and p-value. Jake notes the reason for this in his answer on Cross-Validated. To get the adjusted df, and the p-value associated with this, one can use the emmeans package by Russell Lenth, as he notes here.

#### R doodles. Some ecology. Some physiology. Much fake data.

Thoughts on R, statistical best practices, and teaching applied statistics to Biology majors.

Jeff Walker, Professor of Biological Sciences

University of Southern Maine, Portland, Maine, United States