Statistical strategies to quantify respiratory sinus arrhythmia: Are commonly used metrics equivalent?
Open accessAbstract
Three frequently used RSA metrics are investigated to document violations of assumptions for parametric analyses, moderation by respiration, influences of nonstationarity, and sensitivity to vagal blockade. Although all metrics are highly correlated, new findings illustrate that the metrics are noticeably different on the above dimensions. Only one method conforms to the assumptions for parametric analyses, is not moderated by respiration, is not influenced by nonstationarity, and reliably generates stronger effect sizes. Moreover, this method is also the most sensitive to vagal blockade. Specific features of this method may provide insights into improving the statistical characteristics of other commonly used RSA metrics. These data provide the evidence to question, based on statistical grounds, published reports using particular metrics of RSA.
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An index of Level I can be derived from quantifying respiratory sinus arrhythmia, a periodic component of beat-to-beat heart rate variability that is synchronous with spontaneous breathing and a valid index of cardiac vagal tone via ventral vagal pathways.
“An index of Level I can be derived from quantifying respiratory sinus arrhythmia, a periodic component of beat-to-beat heart rate variability that is synchronous with spontaneous breathing and a valid index of cardiac vagal tone via ventral vagal pathways (Lewis et al., 2012).”
From Polyvagal Theory: A Science of Safety (2022) · cites this paper as Lewis et al., 2012
Split into 2 atoms — 1 confirmed, 1 partially supported, 0 disputed, 0 misattributed, 0 unverifiable. Expand the claim to see per-atom verdicts.
Experimental — accuracy not yet measuredThe effect of respiratory depth or tidal volume on HRV accounts for less than 5% of the variance in several measures of HRV but more than 10% when using the peak-to-trough method.
“However, the effect of respiratory depth or tidal volume on HRV has been shown to account for less than 5% of the variance in the several measures of HRV but more than 10% of the variance when using the peak-to-trough method (Lewis et al., 2012).”
From Heart Rate Variability and Cardiac Vagal Tone in Psychophysiological Research – Recommendations for Experiment Planning, Data Analysis, and Data Reporting (2017) · cites this paper as Lewis et al., 2012
The Results section, “Correlations between RSA metrics and respiratory parameters” (page unavailable), reports approximately 10% shared variance between tidal volume and peak-to-trough RSA, not more than 10%. The Discussion section, “RSA metrics and respiration” (page unavailable), says peak-to-trough was the only RSA metric correlated with tidal volume, but the retrieved passages do not establish the claimed less-than-5% figure for the other metrics. (LLM, conf=0.86)
Experimental — accuracy not yet measuredDifferent indices of HRV are differentially affected by breathing, with the peak-to-trough method being most affected.
“(1) different indices of HRV are differentially affected by breathing with the peak-to-trough method being most affected (e.g., Penttila et al., 2001; Hill et al., 2009; Lewis et al., 2012);”
From Heart Rate Variability and Cardiac Vagal Tone in Psychophysiological Research – Recommendations for Experiment Planning, Data Analysis, and Data Reporting (2017) · cites this paper as Lewis et al., 2012
When analyzed appropriately, even measures derived from the peak-to-trough method can be reliable indicators of HRV without additional respiratory control.
“(2) when analyzed appropriately, even measures derived from the peak-to-trough method can be reliable indicators of HRV without additional respiratory control (Lewis et al., 2012);”
From Heart Rate Variability and Cardiac Vagal Tone in Psychophysiological Research – Recommendations for Experiment Planning, Data Analysis, and Data Reporting (2017) · cites this paper as Lewis et al., 2012
Peak-valley analysis acts as a time-domain filter dynamically centered at the exact ongoing respiratory frequency.
“such as the peak-valley analysis (Grossman et al., 1990), also known as peak-to-trough analysis (Lewis et al., 2012), which acts as a time-domain filter dynamically centered at the exact ongoing respiratory frequency (Grossman et al., 1990).”
From Heart Rate Variability and Cardiac Vagal Tone in Psychophysiological Research – Recommendations for Experiment Planning, Data Analysis, and Data Reporting (2017) · cites this paper as Lewis et al., 2012
Vagal cardioinhibitory pathways support homeostatic functions.
“There is a large literature documenting that the amplitude of respiratory sinus arrhythmia (RSA), a valid index of cardiac vagal tone [17], is related to positive clinical outcomes (e.g., Ref. [18]).”
From The vagal paradox: A polyvagal solution (2023) · cites this paper as [17]
The Porges-Bohrer method provides an opportunity to study the dynamically changing amplitude of RSA independently of a potential nonstationary baseline representing dynamic changes in heart rate.
“Unlike other methods, the Porges-Bohrer method [17,63,64] provides an opportunity to study the dynamically changing amplitude of RSA independently of a potential nonstationary baseline representing dynamic changes in heart rate.”
From The vagal paradox: A polyvagal solution (2023) · cites this paper as [17]
Compared to peak-to-through and spectral analysis methods, the Porges adaptive filter method was significantly more sensitive to vagal mechanisms, with effect sizes more than 3 times greater, as evidenced through glycopyrrolate infusion.
“compared to the other two methods, the Porges adaptive filter method was significantly more sensitive to vagal mechanisms (effect sizes were reported as more than 3 times greater than the other two methods) as evidenced through a glycopyrrolate infusion.”
From Cardiac vagal control and children's adaptive functioning: A meta-analysis (2013) · cites this paper as Lewis et al., 2012
The frequency band (.12-.40 Hz) used in the Porges adaptive filter method to define RSA in adults can accurately capture respiration rates, with less than 1% of individual breaths falling outside this band.
“the frequency band (.12–.40 Hz) used in the Porges adaptive filter method to define RSA in adults can accurately capture respiration rates (less than 1% of individual breaths fell outside this frequency band).”
From Cardiac vagal control and children's adaptive functioning: A meta-analysis (2013) · cites this paper as Lewis et al., 2012
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References 54 · Cited by 264
- Authors
- Lewis, G. F., Furman, S. A., McCool, M. F., & Porges, S. W.
- Affiliations
- University of Illinois Chicago (US)
- Corresponding author
- Porges, Stephen W.
- Venue
- Biological Psychology
- Publisher
- Elsevier BV
- Published
- 2012-02
- Volume
- 89
- Issue
- 2
- Pages
- 349-364
- ISSN
- 0301-0511 (ISSN-L)
- PMC
- PMC3269511
- OpenAlex
- W1971072238
- Cited by
- 264
- References
- 54
- Citations by year
- 2026: 15 · 2025: 15 · 2024: 25 · 2023: 23 · 2022: 18 · 2021: 32 · 2020: 18 · 2019: 21 · 2018: 15 · 2017: 19 · 2016: 14 · 2015: 17 · 2014: 10 · 2013: 15 · 2012: 6
- FWCI
- 6.74
- Type
- journal article
- Language
- en
- Open access
- green
- europepmc.org
- Locations
- Biological Psychology (publishedVersion)
- PubMed (publishedVersion)
- Europe PMC (PubMed Central) (acceptedVersion)
- PubMed Central (acceptedVersion)
- Funders
- National Institute of Mental Health (T32MH018882, T32MH067631)
- Eunice Kennedy Shriver National Institute of Child Health and Human Development (R01HD053570)
- Topics
- Health Sciences › Medicine › Cardiology and Cardiovascular Medicine › Heart Rate Variability and Autonomic Control
- Life Sciences › Neuroscience › Neurology › Vagus Nerve Stimulation Research
- Life Sciences › Neuroscience › Endocrine and Autonomic Systems › Neuroscience of respiration and sleep
- Keywords
- respiratory sinus arrhythmia, vagal blockade, non-stationarity, respiration, parametric assumptions, heart rate variability, autonomic nervous system, effect size
- MeSH terms
- Adolescent, Adult, Autonomic Nervous System, Female, Heart, Heart Rate, Humans, Male, Respiration
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