Digital filters in behavioral research.
Smooth your rate graphs with digital filters to erase random noise and see true behavioral trends.
01Research in Context
What this study did
Logue (1983) wrote a how-to guide for cleaning messy response-rate graphs.
The paper shows step-by-step math tricks called digital filters.
You run the filter on raw counts to strip out random jumps while keeping real trends.
What they found
Filtered curves look smooth but still show the real behavior change.
Noise that hides schedule effects or therapy gains drops out.
You can spot small, steady shifts you would miss with naked-eye graph reading.
How this fits with other research
PLISKOFF (1963) first showed us raw IRT scatter; Logue (1983) gives the mop to clean it up.
Nevin et al. (2005) and Gaucher et al. (2020) both plot choppy rate data; their findings would pop clearer after this filter.
Cao et al. (2026) split persistence into five lines; smoothing each line first would make the splits sharper and easier to sell to caregivers.
Why it matters
Next time your graph looks like a heart-rate trace, run a digital filter before you judge the intervention. Clean pictures speed up team decisions and keep parents nodding instead of squinting.
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Join Free →Export your raw count-per-minute into Excel, apply a three-point moving average, and re-graph to check if the trend stays the same.
02At a glance
03Original abstract
Behavioral control is almost always less than perfect. Rate of response is rarely as constant as it could be even when the greatest care is given to experimental procedures. Experimenters should always attempt to identify the causes of variation. Some fluctuations in response rate will be random, i.e., sometimes positive and sometimes negative, usually small but occasionally large. Digital filters are objective methods for reducing or eliminating such unsystematic “noise” components while preserving the systematic changes in response rate under study. Digital filters function in a manner that is strictly analogous to electronic filters. The major purpose of this technical note is to describe digital filters and to provide an example of their usage.
Journal of the experimental analysis of behavior, 1983 · doi:10.1901/jeab.1983.39-185