Time-series analysis in operant research.
Add a quick time-series test to every single-case graph you judge.
01Research in Context
What this study did
Jones et al. (1977) wrote a how-to guide. They showed ways to test single-case graphs for real change.
The paper gives formulas for level shifts, trends, and autocorrelation. No new data were collected.
What they found
The authors found that eyes can fool you. Visual peaks may look big but fail a math check.
Time-series tests give yes-or-no answers. They help decide if the line really moved after you started treatment.
How this fits with other research
Manolov et al. (2017) extends this work. They turned the 1977 formulas into free R code you can run today.
Wolfe et al. (2019) is a successor. They built step-by-step visual rules so teams can score graphs with numbers instead of guesswork.
Irvin et al. (1998) seems to clash but doesn’t. They showed scatter plots miss patterns that control charts catch. Both papers push the same idea: add stats to your eyes.
Why it matters
Next time you review a client’s A-B graph, run a quick level-shift test before you write the report. Free tools now exist, so you can back up visual calls with numbers in five minutes. This protects you from false positives and helps insurance reviewers trust your data.
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02At a glance
03Original abstract
A time-series method is presented, nontechnically, for analysis of data generated in individual-subject operant studies, and is recommended as a supplement to visual analysis of behavior change in reversal or multiple-baseline experiments. The method can be used to identify three kinds of statistically significant behavior change: (a) changes in score levels from one experimental phase to another, (b) reliable upward or downward trends in scores, and (c) changes in trends between phases. The detection of, and reliance on, serial dependency (autocorrelation among temporally adjacent scores) in individual-subject behavioral scores is emphasized. Examples of published data from the operant literature are used to illustrate the time-series method.
Journal of applied behavior analysis, 1977 · doi:10.1901/jaba.1977.10-151