Percentage of Non-Overlapping Data
Also known as: PND, Percent Nonoverlapping Data, Nonoverlap of Single-Case Data, Percent of Nonoverlapping Points
The percentage of non-overlapping data (PND) is a simple nonoverlap effect-size index for single-case (single-subject) research, introduced by Scruggs, Mastropieri, and Casto in 1987 to enable quantitative synthesis of studies that report data graphically rather than as group statistics. PND quantifies how strongly an intervention shifted a behavior by computing the percentage of intervention-phase data points that exceed the single most extreme baseline data point in the direction of desired change. Because it requires only the graphed data and a ruler, PND became one of the most widely used effect sizes in meta-analyses of single-case research in special education, rehabilitation, and behavior analysis. Its very simplicity, however, brings well-documented weaknesses — a ceiling at 100 percent, extreme sensitivity to a single outlying baseline point, and blindness to trend — which motivated later nonoverlap-plus-trend indices such as Parker and colleagues' 2011 Tau-U. PND is best understood as a fast, interpretable, but coarse first look at single-case effect magnitude.
Key highlights
- Extremely simple and transparent — computable by eye from any published single-case graph without raw data.
- Widely used and understood, making results comparable across decades of single-case meta-analyses.
- Provides a single interpretable percentage with conventional effectiveness bands for quick appraisal.
- Requires no distributional assumptions and works directly on the graphed time-series points.
Intuition
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How it works
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When to use it
Use PND when you need a quick, transparent, and widely understood index of how much an intervention shifted a behavior in a single-case study, especially when the only available information is the published graph. It is most useful for rapid appraisal and for synthesizing many single-case studies in a meta-analysis where a common, easily computed metric is needed and where the direction of desired change is clear. PND is appropriate when baselines are relatively stable and free of extreme outliers, since the index depends on a single extreme baseline point. It is a poor choice when baselines show strong trend, when a single aberrant baseline observation would dominate the benchmark, or when effects are large enough to bump against the ceiling; in those situations a trend-aware nonoverlap index such as Tau-U or a regression-based effect size is preferable, and PND should at most be reported as a coarse complement.
Strengths & limitations
- Extremely simple and transparent — computable by eye from any published single-case graph without raw data.
- Widely used and understood, making results comparable across decades of single-case meta-analyses.
- Provides a single interpretable percentage with conventional effectiveness bands for quick appraisal.
- Requires no distributional assumptions and works directly on the graphed time-series points.
- Hinges entirely on the single most extreme baseline point, so one outlier can drastically distort the index.
- Has a hard ceiling at 100 percent that compresses and cannot distinguish among strong effects.
- Ignores trend in both baseline and intervention phases, misjudging effects when slopes are present.
- Lacks a known sampling distribution, so it does not support confidence intervals or formal significance testing.
Common pitfalls
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Applications
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Frequently asked
How is the percentage of non-overlapping data calculated?
First identify the single most extreme baseline point in the direction of desired change — the highest baseline value if you want the behavior to increase, the lowest if you want it to decrease. Then count how many intervention-phase points fall beyond that benchmark, divide by the total number of intervention points, and multiply by 100. The result is the percentage of the intervention phase that surpassed the best the baseline ever achieved, interpreted with bands where above 90 percent is very effective and below 50 percent is ineffective.
Why is PND criticized despite being so popular?
PND rests on a single extreme baseline point, so one outlying baseline observation can drag the index down regardless of how strong the intervention was. It also has a ceiling at 100 percent that cannot distinguish among very large effects, and it ignores trend in both phases, so an improving baseline can masquerade as an intervention effect or mask one. These weaknesses, documented over decades, are why researchers increasingly prefer trend-aware nonoverlap indices such as Tau-U, which Parker and colleagues introduced specifically to address them.
What replaced or improved on PND?
Several nonoverlap indices were developed to address PND's shortcomings, and Tau-U from Parker and colleagues in 2011 is the most prominent. Tau-U combines the nonoverlap between baseline and intervention phases with a correction for baseline trend, which makes it more robust to outliers, less affected by the ceiling, and able to account for slope that PND ignores. Other alternatives include the improvement rate difference and percentage of data exceeding the median. PND is still reported for continuity and simplicity, but trend-aware indices are now generally preferred.
Sources
- 1.Scruggs, T. E., Mastropieri, M. A., & Casto, G. (1987). The quantitative synthesis of single-subject research: Methodology and validation. Remedial and Special Education, 8(2), 24-33.
- 2.Parker, R. I., Vannest, K. J., Davis, J. L., & Sauber, S. B. (2011). Combining nonoverlap and trend for single-case research: Tau-U. Behavior Therapy, 42(2), 284-299.
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Cite this page
ScholarGate. (2026, June 23). Percentage of Non-Overlapping Data. ScholarGate. https://scholargate.app/disability-studies/percentage-non-overlapping-data