Higher Time Between Sunrise And Sunset Predicts Slightly Lower Energy for Population

Higher Time Between Sunrise And Sunset Predicts Slightly Lower Energy for Population

Contents

Variables

A
Time Between Sunrise and Sunset 362
A
Energy 2158

Categories

A
Environment 564
A
Emotions 2028

Tags

High Confidence
Very Weak Effect Size
Negative Relationship
Population Study
cause image gauge image effect image
Participants reported a 8.4% average decrease in Energy following above average Time Between Sunrise And Sunset.

Abstract

Energy was generally 9% higher than average after a total of 14 hours of Time Between Sunrise And Sunset over the previous 7 days.

Aggregated data from 20 study participants suggests with a HIGH degree of confidence (p=0.0513, 95% CI -0.437 to 0.048) that Time Between Sunrise And Sunset has a weakly negative predictive relationship (R=-0.194) with Energy.

The highest quartile of Energy measurements were observed following an average 12 hours Time Between Sunrise And Sunset per day.

The lowest quartile of Energy measurements were observed following an average 12 hours of Time Between Sunrise And Sunset per day.

After an onset delay of 0 seconds, Energy is typically 12% lower than average over the 7 days following around 12 hours of Time Between Sunrise And Sunset Time Between Sunrise And Sunset.

Keywords: Time Between Sunrise And Sunset, Energy, N-of-1 trials, real-world evidence, causal inference, observational study

Moderate Confidence: Based on 20 participants. More data would increase certainty.

Results

Primary Findings

Analysis of 2,342 paired observations from 20 participants revealed a minimal improvement in Energy following above-average Time Between Sunrise And Sunset exposure.

+1.2%
Change from Baseline
Minimal effect on Energy
0.17
Predictor Impact Score
Weak evidence for causal relationship

Supporting Statistics

High
Confidence
-0.194
Correlation (r)
p = 0.300
Significance
z = 1.60
Effect Magnitude
φ = 1.00
Temporality

What This Means

When participants had above-average Time Between Sunrise And Sunset:

  • Energy increased by 1.2% on average
  • Temporal analysis supports Time Between Sunrise And Sunset 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. With only 20 participants, these scores are preliminary and will become more reliable as additional data is collected.

Optimal Daily Values

No clear dose-response relationship detected. The Time Between Sunrise And Sunset values associated with high and low Energy are too similar to provide meaningful dosing guidance. This may indicate a threshold effect (any amount works equally well), no effect, or insufficient data variance. With more participants, a clearer pattern may emerge.

Population Correlation

Time Between Sunrise And Sunset Distribution

Energy Distribution

Relationship Analysis

Statistical Summary

Relationship Statistics

Property Value
Cause Variable Name Time Between Sunrise And Sunset
Effect Variable Name Energy
Sinn Predictive Coefficient 0.16809081885667
Confidence Level HIGH
Confidence Interval 0.24248017280536
Forward Pearson Predictive Coefficient -0.1944
Critical T Value 1.7082
Total Time Between Sunrise And Sunset Over Previous 7 days Before ABOVE Average Energy 12 hours
Total Time Between Sunrise And Sunset Over Previous 7 days Before BELOW Average Energy 12 hours
Duration of Action 7 days
Effect Size weakly negative
Number of Paired Measurements 2342
Optimal Pearson Product 0.40615485096329
P Value 0.051319897608504
Statistical Significance 0.2999
Strength of Relationship 0.24248017280536
Study Type population
Analysis Performed At 2026-01-04
Number of Participants 20

Time Between Sunrise and Sunset Info

Property Value
Variable Name Time Between Sunrise And Sunset
Aggregation Method SUM
Analysis Performed At 2020-09-10
Duration of Action 7 days
Kurtosis 1.6654030232475
Maximum Allowed Value 23 hours
Mean 12 hours
Median 12 hours
Minimum Allowed Value 60 minutes
Number of Aggregate Predictors 0
Number of Aggregate Outcomes 362
Number of Measurements 821637
Number of Measurements (including those generated by tagged, joined, or child variables) 452647
Public true
Onset Delay 0 seconds
Standard Deviation 1.7285417205584
Unit Hours
User Variables 817
Variable Category Environment
Variable ID 6038788
Variance 3.9125797209335

Energy Info

Property Value
Variable Name Energy
Aggregation Method MEAN
Analysis Performed At 2022-08-31
Duration of Action 24 hours
Kurtosis 1.7963079252106
Maximum Allowed Value 5 out of 5
Mean 2.8605791891892 out of 5
Median 2.8725064864865 out of 5
Minimum Allowed Value 1 out of 5
Number of Aggregate Predictors 1883
Number of Aggregate Outcomes 275
Number of Measurements 8144
Number of Measurements (including those generated by tagged, joined, or child variables) 8144
Public true
Onset Delay 0 seconds
Standard Deviation 0.36971120901836
Unit 1 to 5 Rating
User Variables 458
UPC 637769766115
Variable Category Emotions
Variable ID 1306
Variance 0.38180313102113

Introduction

Background

Time Between Sunrise And Sunset (Environment) and Energy (Emotions) 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 Time Between Sunrise And Sunset affect Energy?

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 Time Between Sunrise And Sunset for maximizing Energy?

Study Objective

The objective of this study is to determine the nature of the relationship (if any) between Time Between Sunrise And Sunset and Energy. Additionally, we attempt to determine the Time Between Sunrise And Sunset values most likely to produce optimal Energy 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 1.2% improvement in Energy following above-average Time Between Sunrise And Sunset exposure. The Predictor Impact Score (PIS) of 0.17 indicates weak evidence for a causal relationship.

Statistical Significance

Using a two-tailed t-test with alpha = 0.05, it was determined that the change in Energy is statistically significant at a 95% confidence interval. The p-value of 0.2999 indicates there is less than a 29.99% probability that this result occurred by chance.

After treatment, a 8.4% decrease (-0.0819 out of 5) from the mean baseline 3.06 out of 5 was observed. The relative standard deviation at baseline was 14.91%. The observed change was 1.60376 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: 4.482
Critical t-value: 1.708

Since t = 4.48 > 1.71, 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 Time Between Sunrise And Sunset might influence Energy.

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 Time Between Sunrise And Sunset 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 Time Between Sunrise And Sunset
  • Confirmation through prospective or randomized designs
  • Biological mechanisms underlying the observed effects

Conclusion

📊 Preliminary Findings: With 20 participants, these results are based on limited data. Effect sizes and confidence will improve as more participants contribute data. Consider these findings directional rather than definitive.

Above-average Time Between Sunrise And Sunset was associated with a 1.2% improvement in Energy—a minimal effect. The Predictor Impact Score of 0.17 indicates this relationship is warranting continued monitoring.

Bottom Line: Based on a PIS of 0.17 and a 1.2% effect size, this relationship shows weak evidence. Additional observational data is recommended before investing in experimental validation. Note: These conclusions may strengthen or change direction as more data is collected.

These findings contribute to our understanding of how Time Between Sunrise And Sunset may influence Energy in real-world conditions. While preliminary, these results may inform future research directions. As more participants contribute data, the reliability and precision of these findings will improve substantially.

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Methods

Study Design

This study is based on data donated by 20 participants. Thus, the study design is equivalent to the aggregation of 20 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 Time Between Sunrise And Sunset would produce an observable change in Energy.
  • Duration of Action: It was assumed that Time Between Sunrise And Sunset could produce an observable change in Energy for as much as 7 days after the stimulus event.

Statistical Methods

For each participant, we calculated the Pearson correlation coefficient between Time Between Sunrise And Sunset values and subsequent Energy 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

Time Between Sunrise And Sunset data was primarily collected using Weather. Automatically import temperature, humidity, and ultraviolet light exposure.

Energy 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 Time Between Sunrise And Sunset Affect Energy?. The Journal of Citizen Science. https://studies.crowdsourcingcures.org/study/cause-6038788-effect-1306-population-study
BibTeX 
@misc{sinn_cause_6038788_effect_1306_population_study_2026,
  author = {Sinn, Mike P.},
  title = {Causal Analysis: Does Time Between Sunrise And Sunset Affect Energy?},
  year = {2026},
  publisher = {The Journal of Citizen Science},
  url = {https://studies.crowdsourcingcures.org/study/cause-6038788-effect-1306-population-study},
  note = {Accessed: January 10, 2026}
}
Chicago/Turabian
Sinn, Mike P. "Causal Analysis: Does Time Between Sunrise And Sunset Affect Energy?." The Journal of Citizen Science. Accessed January 10, 2026. https://studies.crowdsourcingcures.org/study/cause-6038788-effect-1306-population-study.
Harvard
Sinn, M.P., 2026. Causal Analysis: Does Time Between Sunrise And Sunset Affect Energy?. [Aggregated N-of-1 Study] The Journal of Citizen Science. Available at: https://studies.crowdsourcingcures.org/study/cause-6038788-effect-1306-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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