19/12/2025
From the new issue: Cristian Larroulet Philippi, 'Against Prohibition (or, When Using Ordinal Scales to Compare Groups Is OK)'
Read it here: https://www.journals.uchicago.edu/doi/abs/10.1086/721759
ABSTRACT. There is a widely held view on measurement inferences that defends the prohibition that we should not make inferences from averages taken with ordinal scales (versus quantitative scales; interval or ratio). This prohibition is general—applying to all ordinal scales—and is sometimes endorsed without qualification. Adhering to it dramatically limits research in the social and biomedical sciences. I provide a Bayesian analysis of this problem, determining when measurements from ordinal scales can be used to confirm hypotheses about relative group averages. I illustrate with the alleged paradigm ordinal scale—the Mohs scale of mineral hardness—arguing that it has been mischaracterized in the literature. The prohibition, I conclude, cannot be upheld, even in a qualified sense. The beliefs needed to make average comparisons are less demanding than those appropriate for quantitative scales.