Higher Barometric Pressure Predicts Very Slightly Higher Deep Sleep for Population

Higher Barometric Pressure Predicts Very Slightly Higher Deep Sleep for Population

Contents

Variables

A
Barometric Pressure 488
A
Deep Sleep 1384

Categories

A
Environment 564
A
Sleep 111

Tags

High Confidence
Very Weak Effect Size
Positive Relationship
Population Study
cause image gauge image effect image
Participants reported a 0.6% average decrease in Deep Sleep following above average Barometric Pressure.

Abstract

Deep Sleep was generally 2% higher than average after an average of 100000 pascal of Barometric Pressure over the previous 7 days.

Aggregated data from 30 study participants suggests with a HIGH degree of confidence (p=0.164, 95% CI -0.014 to 0.041) that Barometric Pressure has a very weakly positive predictive relationship (R=0.0131) with Deep Sleep.

The highest quartile of Deep Sleep measurements were observed following an average 65300 pascal Barometric Pressure.

The lowest quartile of Deep Sleep measurements were observed following an average 102000 pascal of Barometric Pressure.

After an onset delay of 0 seconds, Deep Sleep is typically 2% lower than average over the 7 days following around 102000 pascal of Barometric Pressure Barometric Pressure.

Keywords: Barometric Pressure, Deep Sleep, N-of-1 trials, real-world evidence, causal inference, observational study

High Confidence: With 30 participants, these findings have strong statistical power.

Results

Primary Findings

Analysis of 6,903 paired observations from 30 participants revealed a minimal reduction in Deep Sleep following above-average Barometric Pressure exposure.

-1.0%
Change from Baseline
Minimal effect on Deep Sleep
0.01
Predictor Impact Score
Insufficient evidence for causal relationship

Supporting Statistics

High
Confidence
0.013
Correlation (r)
p = 0.659
Significance
z = 0.41
Effect Magnitude
φ = 1.00
Temporality

What This Means

When participants had above-average Barometric Pressure:

  • Deep Sleep decreased by 1.0% on average
  • Temporal analysis supports Barometric Pressure as the predictor (not the outcome)

Interpreting the Predictor Impact Score

The Predictor Impact Score (PIS) integrates multiple Bradford Hill causal criteria into a single metric. Use this guide to interpret the score:

PIS Range Interpretation Recommended Action
≥ 0.5 Strong evidence High priority for RCT validation
0.3 - 0.5 Moderate evidence Consider for experimental investigation
0.1 - 0.3 Weak evidence Monitor for additional data
< 0.1 Insufficient evidence Low priority; may be noise

Note: PIS is a prioritization heuristic, not proof of causation. High scores indicate relationships worth investigating, not confirmed causal effects.

Optimal Daily Values (Precision Dosing)

Based on the observed relationship, we can estimate the predictor values associated with the best and worst outcomes. These values enable personalized dosing recommendations.

ℹ️ Moderate Confidence: Based on 30 participants. Values are reasonably reliable but may refine with additional data.

100,235.7 Pa
Value Predicting Higher Deep Sleep
Average Barometric Pressure when Deep Sleep exceeded its mean
101,107.6 Pa
Value Predicting Lower Deep Sleep
Average Barometric Pressure when Deep Sleep was below its mean

What This Suggests

Deep Sleep tended to be highest when Barometric Pressure was around 100,235.7 Pa.

Important: These values reflect correlations, not guaranteed causal effects. Individual responses may vary. Use as a starting point for personal experimentation, not as a definitive prescription. Consult healthcare providers before making treatment decisions.

Population Correlation

Barometric Pressure Distribution

Deep Sleep Distribution

Relationship Analysis

Statistical Summary

Relationship Statistics

Property Value
Cause Variable Name Barometric Pressure
Effect Variable Name Deep Sleep
Sinn Predictive Coefficient 0.0062238947489161
Confidence Level HIGH
Confidence Interval 0.027464717411982
Forward Pearson Predictive Coefficient 0.0131
Critical T Value 1.6755
Average Barometric Pressure Over Previous 7 days Before ABOVE Average Deep Sleep 65300 pascal
Average Barometric Pressure Over Previous 7 days Before BELOW Average Deep Sleep 102000 pascal
Duration of Action 7 days
Effect Size very weakly positive
Number of Paired Measurements 6903
Optimal Pearson Product 0.060847238178243
P Value 0.16383136721681
Statistical Significance 0.6592
Strength of Relationship 0.027464717411982
Study Type population
Analysis Performed At 2026-01-04
Number of Participants 30

Barometric Pressure Info

Property Value
Variable Name Barometric Pressure
Aggregation Method MEAN
Analysis Performed At 2021-02-28
Duration of Action 7 days
Kurtosis 5.6618049086104
Maximum Allowed Value 1113250 pascal
Mean 101628.07699443 pascal
Median 101662.40909091 pascal
Minimum Allowed Value 10132 pascal
Number of Aggregate Predictors 0
Number of Aggregate Outcomes 488
Number of Measurements 2807
Number of Measurements (including those generated by tagged, joined, or child variables) 2807
Public true
Onset Delay 0 seconds
Standard Deviation 555.26877913763
Unit Pascal
User Variables 1082
UPC 794628323701
Variable Category Environment
Variable ID 96380
Variance 547086.06358889

Deep Sleep Info

Property Value
Variable Name Deep Sleep
Aggregation Method MEAN
Analysis Performed At 2020-10-11
Duration of Action 7 days
Kurtosis 3.8099479591447
Maximum Allowed Value 1 out of 1
Mean 0.57104939589141 out of 1
Median 0.58178050572753 out of 1
Minimum Allowed Value 0 out of 1
Number of Aggregate Predictors 1265
Number of Aggregate Outcomes 119
Number of Measurements 10312
Number of Measurements (including those generated by tagged, joined, or child variables) 9055
Public true
Onset Delay 0 seconds
Standard Deviation 0.14112482692665
Unit 0 to 1 Rating
User Variables 65
UPC 884904543333
Variable Category Sleep
Variable ID 53709
Variance 0.023357512360836

Introduction

Background

Barometric Pressure (Environment) and Deep Sleep (Sleep) are both important factors in understanding human health and well-being. This study investigates the relationship between these two variables using real-world observational data.

Traditional randomized controlled trials (RCTs), while the gold standard for causal inference, are often impractical, expensive, or unethical for studying many health relationships. Aggregated N-of-1 observational studies offer a complementary approach that leverages within-subject comparisons across large populations to identify meaningful patterns.

Research Question

Does Barometric Pressure affect Deep Sleep?

Additionally, we seek to determine:

  1. What is the direction and magnitude of any effect?
  2. How confident can we be in this relationship based on the available data?
  3. What are the optimal levels of Barometric Pressure for maximizing Deep Sleep?

Study Objective

The objective of this study is to determine the nature of the relationship (if any) between Barometric Pressure and Deep Sleep. Additionally, we attempt to determine the Barometric Pressure values most likely to produce optimal Deep Sleep values.

Study Overview

This is a population-level observational study using aggregated N-of-1 methodology. By aggregating individual N-of-1 experiments, we can identify population-level patterns while accounting for the substantial individual variation that exists in most health relationships. Effect sizes are reported as percent change from baseline, enabling intuitive interpretation and comparison across different measures.

Full Methodology: Framework for Real-World Evidence-Based Pharmacovigilance: Aggregated N-of-1 Trials for Quantifying Treatment Effects

Discussion

Interpretation of Findings

Participants experienced a 1.0% reduction in Deep Sleep following above-average Barometric Pressure exposure. The Predictor Impact Score (PIS) of 0.01 indicates insufficient evidence for a causal relationship.

Statistical Significance

Using a two-tailed t-test with alpha = 0.05, it was determined that the change in Deep Sleep is statistically significant at a 95% confidence interval. The p-value of 0.6592 indicates there is less than a 65.92% probability that this result occurred by chance.

After treatment, a 0.6% decrease (-0.00699 out of 1) from the mean baseline 0.531 out of 1 was observed. The relative standard deviation at baseline was 15.3733%. The observed change was 0.406713 times the standard deviation.

A common rule of thumb considers a change greater than twice the baseline standard deviation on two separate pre-post experiments may be considered significant. This occurrence would have only a 5% likelihood of resulting from random fluctuation (a p-value < 0.05).

T-Test Details
Observed t-value: 1.915
Critical t-value: 1.676

Since t = 1.91 > 1.68, we reject the null hypothesis.

Biological Plausibility

A plausible bio-chemical mechanism between predictor and outcome is critical for interpreting observational findings. This is where human judgment excels beyond statistical analysis.

Community feedback on the biological plausibility of this relationship is still being collected. Consider the known mechanisms by which Barometric Pressure might influence Deep Sleep.

Bradford Hill Criteria Assessment

The Bradford Hill criteria provide a framework for assessing causality in observational studies. Our methodology operationalizes six of the nine criteria through the Predictor Impact Score (PIS):

Criterion How Addressed Metric
Strength Effect size magnitude Percent change from baseline (Δ%), z-score
Consistency Cross-participant replication Number of users (N), number of pairs (n)
Temporality Predictor precedes outcome Temporality factor (φ), onset delay (δ > 0)
Biological Gradient Dose-response relationship Gradient coefficient (φgradient)
Plausibility Biological mechanism assessment Community votes on mechanism plausibility
Specificity Category appropriateness Interest factor (finterest)

Predictor Impact Score (PIS)

The PIS integrates multiple Bradford Hill criteria into a composite metric quantifying how reliably a predictor affects an outcome. Higher scores indicate stronger evidence:

Population-Level PIS:

$$\text{PIS}_{\text{agg}} = |r_{\text{forward}}| \cdot w \cdot \phi_{\text{users}} \cdot \phi_{\text{pairs}} \cdot \phi_{\text{change}} \cdot \phi_{\text{gradient}}$$

Where φ-factors are saturation functions approaching 1 as evidence accumulates:

  • φusers = 1 - e-N/10 (user saturation)
  • φpairs = 1 - e-n/nsig (pair saturation)
  • φchange = 1 - e-Δspread/Δsig (effect spread saturation)
  • w = weighted average of plausibility votes

Temporality Assessment

We assess evidence for correct causal direction using the temporality factor:

$$\phi_{\text{temporal}} = \frac{|r_{\text{forward}}|}{|r_{\text{forward}}| + |r_{\text{reverse}}|}$$

Values approaching 1 indicate the predictor precedes the outcome (supporting causation); values near 0.5 suggest ambiguous directionality; values near 0 suggest reverse causation or confounding by indication.

Limitations

As with any observational study, correlation does not prove causation. Key limitations include:

  • Unmeasured confounders: Variables not tracked may influence results
  • Self-selection bias: Health trackers may differ from the general population
  • Measurement error: Self-reported data may contain recall bias
  • Confounding by indication: Sicker individuals may use more treatments

However, within-subject comparison and temporal precedence analysis partially mitigate these limitations. If the relationship is merely coincidental, as participants independently modify their Barometric Pressure values, the observed strength will decline over time. Spurious correlations naturally dissipate as more data is collected.

Future Directions

Future research should examine:

  • Subgroup analyses to identify individual differences in response
  • Potential confounders and mediators of the observed relationship
  • Optimal dosing and timing for Barometric Pressure
  • Confirmation through prospective or randomized designs
  • Biological mechanisms underlying the observed effects

Conclusion

Above-average Barometric Pressure was associated with a 1.0% reduction in Deep Sleep—a minimal effect. The Predictor Impact Score of 0.01 indicates this relationship is requiring additional data before conclusions.

Bottom Line: Based on a PIS of 0.01 and a 1.0% effect size, this relationship currently lacks sufficient evidence. Continue monitoring as more data becomes available.

These findings contribute to our understanding of how Barometric Pressure may influence Deep Sleep in real-world conditions. While preliminary, these results may inform future research directions.

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Methods

Study Design

This study is based on data donated by 30 participants. Thus, the study design is equivalent to the aggregation of 30 separate n=1 observational natural experiments.

This within-subject design is powerful because it controls for all stable individual characteristics (genetics, baseline health status, socioeconomic factors) that might otherwise confound the relationship between variables.

Data Analysis

Temporal Assumptions

The analysis incorporates temporal assumptions about the relationship between variables:

  • Onset Delay: It was assumed that 0 seconds would pass before a change in Barometric Pressure would produce an observable change in Deep Sleep.
  • Duration of Action: It was assumed that Barometric Pressure could produce an observable change in Deep Sleep for as much as 7 days after the stimulus event.

Statistical Methods

For each participant, we calculated the Pearson correlation coefficient between Barometric Pressure values and subsequent Deep Sleep values. Individual correlations were then aggregated using Fisher's z-transformation to produce a population-level estimate:

Individual Correlation:

$$r_i = \frac{\sum(x_{ij} - \bar{x}_i)(y_{ij} - \bar{y}_i)}{\sqrt{\sum(x_{ij} - \bar{x}_i)^2 \sum(y_{ij} - \bar{y}_i)^2}}$$

Fisher's Z-Transformation:

$$z_i = \frac{1}{2} \ln\left(\frac{1 + r_i}{1 - r_i}\right)$$

Aggregated Correlation:

$$\bar{r} = \tanh(\bar{z}) \quad \text{where} \quad \bar{z} = \frac{1}{N}\sum_{i=1}^{N} z_i$$

Effect Size Calculation

Effect sizes are reported as percent change from baseline. For each participant, we compare the outcome following above-average predictor values to the overall baseline outcome:

$$\Delta\%_{\text{baseline}} = \frac{\bar{O}_{\text{follow-up}} - \bar{O}_{\text{baseline}}}{\bar{O}_{\text{baseline}}} \times 100$$

Effect Magnitude (Z-Score)

To assess effect magnitude relative to natural variability, we calculate the z-score:

$$z = \frac{|\Delta\%_{\text{baseline}}|}{\text{RSD}_{\text{baseline}}}$$

where RSDbaseline is the relative standard deviation of outcome during baseline period

A z-score > 2 indicates statistical significance (p < 0.05), meaning the observed change exceeds typical baseline fluctuation and is unlikely due to random variation.

Statistical Significance

Correlation significance is assessed using a two-tailed t-test:

$$t = \frac{r\sqrt{n-2}}{\sqrt{1-r^2}}$$

We reject the null hypothesis (ρ = 0) at α = 0.05 when |t| exceeds the critical value, providing statistical evidence that the observed relationship is not due to chance.

Data Sources

Barometric Pressure data was primarily collected using General Spreadsheet. Import from a spreadsheet containing a Variable Name, Value, Measurement Event Time, and Abbreviated Unit Name field. Here is an <a href="http://bit.ly/2jz7CNl" target="_blank">example spreadsheet</a> with allowed column names, units and time format.

Deep Sleep data was primarily collected using QuantiModo. QuantiModo allows you to easily track mood, symptoms, or any outcome you want to optimize in a fraction of a second. You can also import your data from over 30 other apps and devices. QuantiModo then analyzes your data to identify which hidden factors are most likely to be influencing your mood or symptoms.

Data Quality

Data quality measures were applied to ensure reliable results:

  • Minimum Data Requirement: Only participants with sufficient paired observations were included in the analysis.
  • Outlier Handling: Extreme values were winsorized to reduce the influence of measurement errors.
  • Missing Data: Days with missing values were handled using appropriate filling strategies based on the variable type.
  • Test User Exclusion: Test accounts and invalid users were excluded from all analyses.

Principal Investigator

Program & Methods

Mike P. Sinn
Sinn, M. P.

Designed and implemented data collection, aggregation, causal inference pipeline, and automated study generation framework. Developed the Predictor Impact Score methodology operationalizing Bradford Hill criteria for ranking causal relationships in observational data. When he tells people this at parties, they usually say they have to go check on their car.

Individual study outputs are automated, reproducible, and open to external audit. (Which I would seriously recommend.)

Contact

Cite This Study

APA Format
Sinn, M. P. (2026). Causal Analysis: Does Barometric Pressure Affect Deep Sleep?. The Journal of Citizen Science. https://studies.crowdsourcingcures.org/study/cause-96380-effect-53709-population-study
BibTeX 
@misc{sinn_cause_96380_effect_53709_population_study_2026,
  author = {Sinn, Mike P.},
  title = {Causal Analysis: Does Barometric Pressure Affect Deep Sleep?},
  year = {2026},
  publisher = {The Journal of Citizen Science},
  url = {https://studies.crowdsourcingcures.org/study/cause-96380-effect-53709-population-study},
  note = {Accessed: January 10, 2026}
}
Chicago/Turabian
Sinn, Mike P. "Causal Analysis: Does Barometric Pressure Affect Deep Sleep?." The Journal of Citizen Science. Accessed January 10, 2026. https://studies.crowdsourcingcures.org/study/cause-96380-effect-53709-population-study.
Harvard
Sinn, M.P., 2026. Causal Analysis: Does Barometric Pressure Affect Deep Sleep?. [Aggregated N-of-1 Study] The Journal of Citizen Science. Available at: https://studies.crowdsourcingcures.org/study/cause-96380-effect-53709-population-study [Accessed January 10, 2026].

Study Type: Aggregated N-of-1 Observational Mega-Study
Evidence Level: Level II (Real-World Evidence)
Methodology: Bradford Hill Criteria with Predictor Impact Score (PIS)

References

This framework was originally developed in 2013 based on the Bradford Hill criteria. Subsequent literature has independently validated similar approaches to causal inference from observational data:

  1. Hill, A.B. (1965). The environment and disease: association or causation? Proceedings of the Royal Society of Medicine, 58(5), 295-300. [Bradford Hill criteria]
  2. Lillie, E.O., et al. (2011). The n-of-1 clinical trial: the ultimate strategy for individualizing medicine? Personalized Medicine, 8(2), 161-173. [N-of-1 methodology]
  3. Pearl, J. (2009). Causality: Models, Reasoning, and Inference . Cambridge University Press. [Causal inference]
  4. Hernán, M.A., & Robins, J.M. (2020). Causal Inference: What If . Chapman & Hall/CRC. [Free textbook]
  5. FDA (2018). Framework for FDA's Real-World Evidence Program . U.S. Food and Drug Administration. [Regulatory context]
  6. Duan, N., et al. (2013). Single-patient (n-of-1) trials: a pragmatic clinical decision methodology . Journal of Clinical Epidemiology, 66(8), S21-S28.
  7. Platt, R., et al. (2018). The FDA Sentinel Initiative—an evolving national resource . New England Journal of Medicine, 379(22), 2091-2093.

This information is for research and educational purposes only, not medical advice. Consult a healthcare provider before making health decisions. Terms of Service

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