Evidence map›Paper›PMID 35854196›Full record

ArticleBehavior research methods2023

Multifractal test for nonlinearity of interactions across scales in time series.

Damian G Kelty-Stephen, Elizabeth Lane, Lauren Bloomfield, Madhur Mangalam

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Article in Behavior research methods, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 18 papers.

0numbers the graph read from it
0cells of the map it votes in
18citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

18 citing papers in PubMed.

  1. Article
  2. Article
  3. Article
  4. Article
  5. The illusion of internal models in biological movement.European journal of applied physiology · 2025
    Review
  6. Article
  7. Article
  8. Article
  9. Article
  10. Article
  11. Article
  12. How bipedalism shapes humans' actions with hand tools.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2024
    Review
  13. Article
  14. Article
  15. Article
  16. Article
  17. Article
  18. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Damian G Kelty-StephenDepartment of Psychology, State University of New York-New Paltz, New Paltz, NY, USA. keltystd@newpaltz.edu.ORCID 0000-0001-7332-8486
Elizabeth LaneDepartment of Psychiatry, University of California-San Diego, San Diego, CA, USA.
Lauren BloomfieldDepartment of Psychology, Grinnell College, Grinnell, IA, USA.
Madhur MangalamDepartment of Physical Therapy, Movement and Rehabilitation Sciences, Northeastern University, Boston, MA, USA. m.manglam@northeastern.edu.ORCID 0000-0001-6369-0414

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

The creativity and emergence of biological and psychological behavior tend to be nonlinear, and correspondingly, biological and psychological measures contain degrees of irregularity. The linear model might fail to reduce these measurements to a sum of independent random factors (yielding a stable mean for the measurement), implying nonlinear changes over time. The present work reviews some of the concepts implicated in nonlinear changes over time and details the mathematical steps involved in their identification. It introduces multifractality as a mathematical framework helpful in determining whether and to what degree the measured series exhibits nonlinear changes over time. These mathematical steps include multifractal analysis and surrogate data production for resolving when multifractality entails nonlinear changes over time. Ultimately, when measurements fail to fit the structures of the traditional linear model, multifractal modeling allows for making those nonlinear excursions explicit, that is, to come up with a quantitative estimate of how strongly events may interact across timescales. This estimate may serve some interests as merely a potentially statistically significant indicator of independence failing to hold, but we suspect that this estimate might serve more generally as a predictor of perceptuomotor or cognitive performance.

Indexed as

AlgorithmsHumansLinear ModelsTime FactorsFourierFractalHeterogeneityLong-range memoryMarkovMultifractal nonlinearityNon-GaussianSelf-reportSurrogate testing

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.