Assessment & Research

Discounting: A practical guide to multilevel analysis of choice data

Young (2018) · Journal of the Experimental Analysis of Behavior 2018
★ The Verdict

Run multilevel logistic regression to pull reward size and delay apart when you analyze discounting choices.

✓ Read this if BCBAs who run delay-discounting assessments or publish choice data.
✗ Skip if Clinicians who only record frequency data and never touch choice tasks.

01Research in Context

01

What this study did

Young (2018) wrote a how-to guide for researchers who run delay-discounting tasks. The paper shows each step for using multilevel logistic regression instead of older curve-fitting methods.

The guide keeps reward size and wait time in separate model terms. This lets you see which factor really drives the choice pattern.

02

What they found

The article does not give new data. It shows that the old one-curve approach can hide effects. The multilevel model keeps the data nested by person and by trial, so you get cleaner answers.

03

How this fits with other research

Moeyaert et al. (2020) use the same multilevel trick, but for meta-analysis of single-case graphs. Both papers walk you through code, so you can copy and paste.

Neely et al. (2024) extend the idea into the big-data age. They tell you to clean your session logs first, then run the same kind of model Young shows.

Hatfield et al. (2019) warn about a different pitfall: testing only within one group. Young avoids that trap by forcing a between-factor structure inside the logistic model.

04

Why it matters

If you study choice or self-control, swap your old discounting script for a multilevel logistic setup. You will keep magnitude and delay effects apart, spot outliers faster, and meet newer journal stats rules without extra math classes.

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Open your last discounting Excel file, add a person-level column, and refit the data with a logistic mixed model instead of a single k curve.

02At a glance

Intervention
not applicable
Design
methodology paper
Finding
not reported

03Original abstract

Multilevel modeling provides the ability to simultaneously evaluate the discounting of individuals and groups by examining choices between smaller sooner and larger later rewards. A multilevel logistic regression approach is advocated in which sensitivity to relative reward magnitude and relative delay are considered as separate contributors to choice. Examples of how to fit choice data using multilevel logistic models are provided to help researchers in the adoption of these methods.

Journal of the Experimental Analysis of Behavior, 2018 · doi:10.1002/jeab.316