HCI textbook author: paired t-intervals beat CLMMs for small-sample Likert data

IanArawjo · x · 2026-10-19

HCI researcher Ian Arawjo, preparing to release a textbook on HCI methods, tackles how to report confidence intervals for Likert data in a within-subjects study with 12 participants and 3 conditions. Complex approaches like CLMMs 'print garbage' at this sample size.

Based on his own simulation studies, paired t-intervals perform reasonably well (if conservative) even on non-normal LLM evaluation outputs, and may be safer in practice than fancier solutions. He reports that nonparametric CIs via Wilcoxon and CLMMs both fail badly on this data. A Bayesian Normal-Inverse-Gamma method with a weakly informative prior edged out logit-transformed t-intervals but introduces philosophical inconsistency that's hard to defend to reviewers — so for simplicity, the paired t-interval remains a good choice. The real problem, he notes, is the 12-participant sample size itself, which HCI is unlikely to fix.

Related event: Paired t intervals beat CLMM for small-sample Likert data, researcher says(3 posts)→

Original post →

More from Research

Research channel →