ABA Fundamentals

Matching, statistics, and common sense.

Baum (1983) · Journal of the experimental analysis of behavior 1983
★ The Verdict

The matching law survived early statistical attacks and still guides both lab and real-world choice analyses.

✓ Read this if BCBAs who use concurrent-schedule probes, preference assessments, or matching equations in any setting.
✗ Skip if Clinicians who only run discrete-trial drills with no choice component.

01Research in Context

01

What this study did

Haemmerlie (1983) wrote a theory paper. The author defended the 1979 matching-law conclusions.

Critics had attacked the stats and methods. This paper says the attacks miss the mark.

02

What they found

The core finding: choice-experiment logic still holds. The old stats were fine.

Matching law conclusions do not need to be retracted.

03

How this fits with other research

Cox et al. (2017) extends the idea. They show Major League pitchers follow the same matching rule when they pick pitches.

Lanovaz et al. (2020) joins the method debate. They warn that too-tight tier rules can sink power in single-case studies.

Both papers keep the spotlight on sound design, just from different angles.

04

Why it matters

You can keep using matching-law analyses without apology. When you run choice probes or calculate response ratios, trust the math. If you consult multiple-baseline standards, borrow Lanovaz’s two-of-three rule to stay both safe and strong.

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Plot your client’s response ratios across two concurrent tasks; check if the proportions match the reinforcement rates.

02At a glance

Intervention
not applicable
Design
theoretical
Finding
not reported

03Original abstract

Two papers have appeared recently, one by Mullins, Agunwamba, and Donohoe (1982) and one by Wearden and Burgess (1982), disagreeing with conclusions of my 1979 paper on choice experiments (Baum, 1979), the former on the basis of argument, the latter on the basis of additional data. Both these papers appear mistaken; the conclusions of my earlier paper still stand.

Journal of the experimental analysis of behavior, 1983 · doi:10.1901/jeab.1983.39-499