Higher Calories Burned Predicts Slightly Higher Minutes Asleep for Population

Higher Calories Burned Predicts Slightly Higher Minutes Asleep for Population

Contents

Variables

A
Calories Burned 878
A
Minutes Asleep 707

Categories

A
Physical Activity 1719
A
Sleep 111

Actions

A
Join Study
A
Your Data

Tags

High Confidence
Very Weak Effect Size
Positive Relationship
Population Study
cause image gauge image effect image
Participants reported a 5.6% average increase in Minutes Asleep following above average Calories Burned.

Abstract

Minutes Asleep was generally 7% higher than average after a total of 1410 kilocalories of Calories Burned over the previous 7 days.

Aggregated data from 46 study participants suggests with a HIGH degree of confidence (p=0.158, 95% CI -207.733 to 208.045) that Calories Burned has a weakly positive predictive relationship (R=0.156) with Minutes Asleep.

The highest quartile of Minutes Asleep measurements were observed following an average 166 kilocalories Calories Burned per day.

The lowest quartile of Minutes Asleep measurements were observed following an average 2110 kilocalories of Calories Burned per day.

After an onset delay of 0 seconds, Minutes Asleep is typically 7% lower than average over the 7 days following around 2110 kilocalories of Calories Burned Calories Burned.

Keywords: Calories Burned, Minutes Asleep, N-of-1 trials, real-world evidence, causal inference, observational study

High Confidence: With 46 participants, these findings have strong statistical power.

Results

Primary Findings

Analysis of 7,314 paired observations from 46 participants revealed a substantial improvement in Minutes Asleep following above-average Calories Burned exposure.

+38.2%
Change from Baseline
Substantial effect on Minutes Asleep
0.08
Predictor Impact Score
Insufficient evidence for causal relationship

Supporting Statistics

High
Confidence
0.156
Correlation (r)
p = 0.645
Significance
z = 0.44
Effect Magnitude
φ = 1.00
Temporality

What This Means

When participants had above-average Calories Burned:

  • Minutes Asleep increased by 38.2% on average
  • Temporal analysis supports Calories Burned 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 46 participants. Values are reasonably reliable but may refine with additional data.

1,414.7 kcal
Value Predicting Higher Minutes Asleep
Average Calories Burned when Minutes Asleep exceeded its mean
1,558.5 kcal
Value Predicting Lower Minutes Asleep
Average Calories Burned when Minutes Asleep was below its mean

What This Suggests

Minutes Asleep tended to be highest when Calories Burned was around 1,414.7 kcal.

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

Calories Burned Distribution

Minutes Asleep Distribution

Statistical Summary

Relationship Statistics

Property Value
Cause Variable Name Calories Burned
Effect Variable Name Minutes Asleep
Sinn Predictive Coefficient 0.077215958405067
Confidence Level HIGH
Confidence Interval 207.88910831763
Forward Pearson Predictive Coefficient 0.156
Critical T Value 1.671
Total Calories Burned Over Previous 7 days Before ABOVE Average Minutes Asleep 166 kilocalories
Total Calories Burned Over Previous 7 days Before BELOW Average Minutes Asleep 2110 kilocalories
Duration of Action 7 days
Effect Size weakly positive
Number of Paired Measurements 7314
Optimal Pearson Product 0.11564752398536
P Value 0.15784615683784
Statistical Significance 0.6446
Strength of Relationship 207.88910831763
Study Type population
Analysis Performed At 2026-01-04
Number of Participants 46

Calories Burned Info

Property Value
Variable Name Calories Burned
Aggregation Method SUM
Analysis Performed At 2020-09-23
Duration of Action 7 days
Kurtosis 10.719482104079
Maximum Allowed Value 20000 kilocalories
Mean 1693.6119981094 kilocalories
Median 1643.7344918892 kilocalories
Minimum Allowed Value 100 kilocalories
Number of Aggregate Predictors 667
Number of Aggregate Outcomes 211
Number of Measurements 122895
Number of Measurements (including those generated by tagged, joined, or child variables) 21949
Public true
Onset Delay 0 seconds
Standard Deviation 420.78331639612
Unit Kilocalories
User Variables 393
UPC 0
Variable Category Physical Activity
Variable ID 1280
Variance 236738.41913029

Minutes Asleep Info

Property Value
Variable Name Minutes Asleep
Aggregation Method SUM
Analysis Performed At 2020-10-11
Duration of Action 24 hours
Filling Value 0
Kurtosis 9.5200753036668
Maximum Allowed Value 7 days
Mean 4 hours
Median 3 hours
Minimum Allowed Value 0 seconds
Number of Aggregate Predictors 600
Number of Aggregate Outcomes 107
Number of Measurements 7101
Number of Measurements (including those generated by tagged, joined, or child variables) 943
Public true
Onset Delay 0 seconds
Standard Deviation 172.08438112251
Unit Minutes
User Variables 53
UPC 0
Variable Category Sleep
Variable ID 5964699
Variance 33896.625095035

Introduction

Background

Calories Burned (Physical Activity) and Minutes Asleep (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 Calories Burned affect Minutes Asleep?

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 Calories Burned for maximizing Minutes Asleep?

Study Objective

The objective of this study is to determine the nature of the relationship (if any) between Calories Burned and Minutes Asleep. Additionally, we attempt to determine the Calories Burned values most likely to produce optimal Minutes Asleep 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 38.2% improvement in Minutes Asleep following above-average Calories Burned exposure. The Predictor Impact Score (PIS) of 0.08 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 Minutes Asleep is statistically significant at a 95% confidence interval. The p-value of 0.6446 indicates there is less than a 64.46% probability that this result occurred by chance.

After treatment, a 5.6% increase (3 hours) from the mean baseline 30 hours was observed. The relative standard deviation at baseline was 53.9304%. The observed change was 0.436172 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: 2.451
Critical t-value: 1.671

Since t = 2.45 > 1.67, 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 Calories Burned might influence Minutes Asleep.

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 Calories Burned 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 Calories Burned
  • Confirmation through prospective or randomized designs
  • Biological mechanisms underlying the observed effects

Conclusion

Above-average Calories Burned was associated with a 38.2% improvement in Minutes Asleep—a substantial effect. The Predictor Impact Score of 0.08 indicates this relationship is requiring additional data before conclusions.

Bottom Line: Based on a PIS of 0.08 and a 38.2% effect size, this relationship currently lacks sufficient evidence. Continue monitoring as more data becomes available.

These findings contribute to our understanding of how Calories Burned may influence Minutes Asleep in real-world conditions. While preliminary, these results may inform future research directions.

Help End Unnecessary Suffering

Current clinical trials are 82x more expensive than necessary and take 17 years to bring treatments to market. Pragmatic trials integrated into standard healthcare could reduce costs from $41,000 to $500 per participant and compress timelines to just 2 years. Learn how redirecting just 1% of global military spending could accelerate cures for the 2 billion people suffering from treatable diseases.

Make Suffering Optional

Methods

Study Design

This study is based on data donated by 46 participants. Thus, the study design is equivalent to the aggregation of 46 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 Calories Burned would produce an observable change in Minutes Asleep.
  • Duration of Action: It was assumed that Calories Burned could produce an observable change in Minutes Asleep for as much as 7 days after the stimulus event.

Statistical Methods

For each participant, we calculated the Pearson correlation coefficient between Calories Burned values and subsequent Minutes Asleep 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

Calories Burned data was primarily collected using Fitbit. Fitbit makes activity tracking easy and automatic.

Minutes Asleep data was primarily collected using Fitbit. Fitbit makes activity tracking easy and automatic.

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 Calories Burned Affect Minutes Asleep?. The Journal of Citizen Science. https://studies.crowdsourcingcures.org/study/cause-1280-effect-5964699-population-study
BibTeX 
@misc{sinn_cause_1280_effect_5964699_population_study_2026,
  author = {Sinn, Mike P.},
  title = {Causal Analysis: Does Calories Burned Affect Minutes Asleep?},
  year = {2026},
  publisher = {The Journal of Citizen Science},
  url = {https://studies.crowdsourcingcures.org/study/cause-1280-effect-5964699-population-study},
  note = {Accessed: January 6, 2026}
}
Chicago/Turabian
Sinn, Mike P. "Causal Analysis: Does Calories Burned Affect Minutes Asleep?." The Journal of Citizen Science. Accessed January 6, 2026. https://studies.crowdsourcingcures.org/study/cause-1280-effect-5964699-population-study.
Harvard
Sinn, M.P., 2026. Causal Analysis: Does Calories Burned Affect Minutes Asleep?. [Aggregated N-of-1 Study] The Journal of Citizen Science. Available at: https://studies.crowdsourcingcures.org/study/cause-1280-effect-5964699-population-study [Accessed January 6, 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

LinkedIn Reddit