Higher Partly Cloudy-night Predicts Very Slightly Higher Anxiety for Population

Higher Partly Cloudy-night Predicts Very Slightly Higher Anxiety for Population

Contents

Variables

A
Partly Cloudy-Night 227
A
Anxiety / Nervousness 1826

Categories

A
Environment 564
A
Emotions 2028

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 12% average increase in Anxiety following above average Partly Cloudy-night.

Abstract

Anxiety was generally 5.59474% higher than average after 0.421 count of Partly Cloudy-night per 7 days.

Aggregated data from 19 study participants suggests with a HIGH degree of confidence (p=0.205, 95% CI -0.599 to 0.78) that Partly Cloudy-night has a very weakly positive predictive relationship (R=0.0903) with Anxiety.

The highest quartile of Anxiety measurements were observed following an average 0.61 count Partly Cloudy-night per day.

The lowest quartile of Anxiety measurements were observed following an average 0.564 count of Partly Cloudy-night per day.

After an onset delay of 0 seconds, Anxiety is typically 7% lower than average over the 7 days following around 0.564 count of Partly Cloudy-night Partly Cloudy-night.

Keywords: Partly Cloudy-night, Anxiety, N-of-1 trials, real-world evidence, causal inference, observational study

Moderate Confidence: Based on 19 participants. More data would increase certainty.

Results

Primary Findings

Analysis of 788 paired observations from 19 participants revealed a modest improvement in Anxiety following above-average Partly Cloudy-night exposure.

+5.6%
Change from Baseline
Modest effect on Anxiety
0.08
Predictor Impact Score
Insufficient evidence for causal relationship

Supporting Statistics

High
Confidence
0.090
Correlation (r)
p = 0.061
Significance
z = 0.66
Effect Magnitude
φ = 1.00
Temporality

What This Means

When participants had above-average Partly Cloudy-night:

  • Anxiety increased by 5.6% on average
  • Temporal analysis supports Partly Cloudy-night 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 19 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 Partly Cloudy-night values associated with high and low Anxiety 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

Partly Cloudy-night Distribution

Anxiety Distribution

Relationship Analysis

Statistical Summary

Relationship Statistics

Property Value
Cause Variable Name Partly Cloudy-night
Effect Variable Name Anxiety
Sinn Predictive Coefficient 0.076793954708127
Confidence Level HIGH
Confidence Interval 0.68979349515256
Forward Pearson Predictive Coefficient 0.0903
Critical T Value 1.7811052631579
Total Partly Cloudy-night Over Previous 7 days Before ABOVE Average Anxiety 0.61 count
Total Partly Cloudy-night Over Previous 7 days Before BELOW Average Anxiety 0.564 count
Duration of Action 7 days
Effect Size very weakly positive
Number of Paired Measurements 788
Optimal Pearson Product 0.030619165322782
P Value 0.20518374432367
Statistical Significance 0.0613
Strength of Relationship 0.68979349515256
Study Type population
Analysis Performed At 2026-01-04
Number of Participants 19

Partly Cloudy-Night Info

Property Value
Variable Name Partly Cloudy-night
Aggregation Method SUM
Analysis Performed At 2020-10-11
Duration of Action 7 days
Filling Value 0
Kurtosis 21.488835110701
Mean 0.29378471712329 count
Median 0.22602739726027 count
Minimum Allowed Value 0 count
Number of Aggregate Predictors 0
Number of Aggregate Outcomes 227
Number of Measurements 741
Number of Measurements (including those generated by tagged, joined, or child variables) 639
Public true
Onset Delay 0 seconds
Standard Deviation 0.2419371476132
Unit Count
User Variables 146
UPC 190852865282
Variable Category Environment
Variable ID 5965402
Variance 0.094042057430128

Anxiety / Nervousness Info

Property Value
Variable Name Anxiety
Aggregation Method MEAN
Analysis Performed At 2022-10-07
Duration of Action 24 hours
Kurtosis 2.033986759222
Maximum Allowed Value 5 out of 5
Mean 3.0756713266762 out of 5
Median 3.0701780313837 out of 5
Minimum Allowed Value 1 out of 5
Number of Aggregate Predictors 1566
Number of Aggregate Outcomes 260
Number of Measurements 13546
Number of Measurements (including those generated by tagged, joined, or child variables) 13546
Public true
Onset Delay 0 seconds
Standard Deviation 0.31892876527387
Unit 1 to 5 Rating
User Variables 998
UPC 0
Variable Category Emotions
Variable ID 5903391
Variance 0.32180906187003

Introduction

Background

Partly Cloudy-night (Environment) and Anxiety (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 Partly Cloudy-night affect Anxiety?

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 Partly Cloudy-night for maximizing Anxiety?

Study Objective

The objective of this study is to determine the nature of the relationship (if any) between Partly Cloudy-night and Anxiety. Additionally, we attempt to determine the Partly Cloudy-night values most likely to produce optimal Anxiety 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 5.6% improvement in Anxiety following above-average Partly Cloudy-night 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 Anxiety is statistically significant at a 95% confidence interval. The p-value of 0.0613 indicates there is less than a 6.13% probability that this result occurred by chance.

After treatment, a 12% increase (0.152 out of 5) from the mean baseline 2.71 out of 5 was observed. The relative standard deviation at baseline was 29.6316%. The observed change was 0.657425 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: 1.805
Critical t-value: 1.781

Since t = 1.81 > 1.78, 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 Partly Cloudy-night might influence Anxiety.

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 Partly Cloudy-night 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 Partly Cloudy-night
  • Confirmation through prospective or randomized designs
  • Biological mechanisms underlying the observed effects

Conclusion

📊 Preliminary Findings: With 19 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 Partly Cloudy-night was associated with a 5.6% improvement in Anxiety—a modest 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 5.6% effect size, this relationship currently lacks sufficient evidence. Continue monitoring as more data becomes available. Note: These conclusions may strengthen or change direction as more data is collected.

These findings contribute to our understanding of how Partly Cloudy-night may influence Anxiety 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 19 participants. Thus, the study design is equivalent to the aggregation of 19 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 Partly Cloudy-night would produce an observable change in Anxiety.
  • Duration of Action: It was assumed that Partly Cloudy-night could produce an observable change in Anxiety for as much as 7 days after the stimulus event.

Statistical Methods

For each participant, we calculated the Pearson correlation coefficient between Partly Cloudy-night values and subsequent Anxiety 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

Partly Cloudy-night 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.

Anxiety 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 Partly Cloudy-night Affect Anxiety?. The Journal of Citizen Science. https://studies.crowdsourcingcures.org/study/cause-5965402-effect-5903391-population-study
BibTeX 
@misc{sinn_cause_5965402_effect_5903391_population_study_2026,
  author = {Sinn, Mike P.},
  title = {Causal Analysis: Does Partly Cloudy-night Affect Anxiety?},
  year = {2026},
  publisher = {The Journal of Citizen Science},
  url = {https://studies.crowdsourcingcures.org/study/cause-5965402-effect-5903391-population-study},
  note = {Accessed: January 7, 2026}
}
Chicago/Turabian
Sinn, Mike P. "Causal Analysis: Does Partly Cloudy-night Affect Anxiety?." The Journal of Citizen Science. Accessed January 7, 2026. https://studies.crowdsourcingcures.org/study/cause-5965402-effect-5903391-population-study.
Harvard
Sinn, M.P., 2026. Causal Analysis: Does Partly Cloudy-night Affect Anxiety?. [Aggregated N-of-1 Study] The Journal of Citizen Science. Available at: https://studies.crowdsourcingcures.org/study/cause-5965402-effect-5903391-population-study [Accessed January 7, 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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