Higher Back Pain Predicts Very Slightly Higher Incidents Of Flatulence for Population

Higher Back Pain Predicts Very Slightly Higher Incidents Of Flatulence for Population

Contents

Variables

A
Back Pain 1303
A
Incidents of Flatulence 1879

Categories

A
Symptoms 13336
A
Symptoms 13336

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High Confidence
Very Weak Effect Size
Positive Relationship
Population Study
cause image gauge image effect image
Participants reported a 33.1% average increase in Incidents of Flatulence following above average Back Pain.

Abstract

Incidents of Flatulence was generally 11.2% higher than average after 1 out of 5 of Back Pain per 24 hours.

Aggregated data from 2 study participants suggests with a HIGH degree of confidence (p=0.253, 95% CI -0.324 to 0.327) that Back Pain has a very weakly positive predictive relationship (R=0.0011) with Incidents of Flatulence.

The highest quartile of Incidents of Flatulence measurements were observed following an average 1.44 out of 5 Back Pain.

The lowest quartile of Incidents of Flatulence measurements were observed following an average 1.28 out of 5 of Back Pain.

After an onset delay of 0 seconds, Incidents of Flatulence is typically 0% lower than average over the 24 hours following around 1.28 out of 5 of Back Pain Back Pain.

Keywords: Back Pain, Incidents of Flatulence, N-of-1 trials, real-world evidence, causal inference, observational study

Preliminary: Based on 2 participants. Results may change as more data is collected.

Results

Primary Findings

Analysis of 824 paired observations from 2 participants revealed a modest improvement in Incidents of Flatulence following above-average Back Pain exposure.

+11.2%
Change from Baseline
Modest effect on Incidents of Flatulence
0.00
Predictor Impact Score
Insufficient evidence for causal relationship

Supporting Statistics

High
Confidence
0.001
Correlation (r)
p = 1.000
Significance
z = 0.04
Effect Magnitude
φ = 1.00
Temporality

What This Means

When participants had above-average Back Pain:

  • Incidents of Flatulence increased by 11.2% on average
  • Temporal analysis supports Back Pain 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 2 participants, these scores are preliminary and will become more reliable as additional data is collected.

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.

⚠️ Preliminary Data: With 2 participants and 824 observations, these optimal values are preliminary estimates. As more data is collected, precision will improve significantly.

1.5 /5
Value Predicting Higher Incidents of Flatulence
Average Back Pain when Incidents of Flatulence exceeded its mean
1.0 /5
Value Predicting Lower Incidents of Flatulence
Average Back Pain when Incidents of Flatulence was below its mean

What This Suggests

Incidents of Flatulence tended to be highest when Back Pain was around 1.5 /5.

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

Back Pain Distribution

Incidents of Flatulence Distribution

Relationship Analysis

Statistical Summary

Relationship Statistics

Property Value
Cause Variable Name Back Pain
Effect Variable Name Incidents of Flatulence
Sinn Predictive Coefficient 0.00019939617053377
Confidence Level HIGH
Confidence Interval 0.32543
Forward Pearson Predictive Coefficient 0.0011
Critical T Value 1.646
Average Back Pain Over Previous 24 hours Before ABOVE Average Incidents of Flatulence 1.44 out of 5
Average Back Pain Over Previous 24 hours Before BELOW Average Incidents of Flatulence 1.28 out of 5
Duration of Action 24 hours
Effect Size very weakly positive
Number of Paired Measurements 824
Optimal Pearson Product 0.0021945242536548
P Value 0.25346
Statistical Significance 0.9997
Strength of Relationship 0.32543
Study Type population
Analysis Performed At 2026-01-04
Number of Participants 2

Back Pain Info

Property Value
Variable Name Back Pain
Aggregation Method MEAN
Analysis Performed At 2020-09-23
Duration of Action 24 hours
Kurtosis 2.4506730088922
Maximum Allowed Value 5 out of 5
Mean 2.9034218408496 out of 5
Median 2.8847373287671 out of 5
Minimum Allowed Value 1 out of 5
Number of Aggregate Predictors 1136
Number of Aggregate Outcomes 167
Number of Measurements 3710
Number of Measurements (including those generated by tagged, joined, or child variables) 2918
Public true
Onset Delay 0 seconds
Standard Deviation 0.36868577891095
Unit 1 to 5 Rating
User Variables 405
UPC 711583981326
Variable Category Symptoms
Variable ID 1919
Variance 0.37862284909721

Incidents of Flatulence Info

Property Value
Variable Name Incidents of Flatulence
Aggregation Method SUM
Analysis Performed At 2021-08-29
Duration of Action 24 hours
Filling Value 0
Kurtosis 123.85891651974
Mean 0.591365 count
Median 0 count
Minimum Allowed Value 0 count
Number of Aggregate Predictors 1524
Number of Aggregate Outcomes 355
Number of Measurements 3359
Number of Measurements (including those generated by tagged, joined, or child variables) 2774
Public true
Onset Delay 0 seconds
Standard Deviation 1.8648694689685
Unit Count
User Variables 3
Variable Category Symptoms
Variable ID 86736
Variance 4.3131803780467

Introduction

Background

Back Pain (Symptoms) and Incidents of Flatulence (Symptoms) 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 Back Pain affect Incidents of Flatulence?

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 Back Pain for maximizing Incidents of Flatulence?

Study Objective

The objective of this study is to determine the nature of the relationship (if any) between Back Pain and Incidents of Flatulence. Additionally, we attempt to determine the Back Pain values most likely to produce optimal Incidents of Flatulence 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 11.2% improvement in Incidents of Flatulence following above-average Back Pain exposure. The Predictor Impact Score (PIS) of 0.00 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 Incidents of Flatulence is not statistically significant at a 95% confidence interval. This suggests that the Back Pain value may not have a significant influence on the Incidents of Flatulence value, or that more data is needed to detect an effect.

After treatment, a 33.1% increase (0.127 count) from the mean baseline 1.14 count was observed. The relative standard deviation at baseline was 310%. The observed change was 0.035972 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: 0.953
Critical t-value: 1.646

Since t = 0.95 < 1.65, we cannot 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 Back Pain might influence Incidents of Flatulence.

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 Back Pain 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 Back Pain
  • Confirmation through prospective or randomized designs
  • Biological mechanisms underlying the observed effects

Conclusion

📊 Preliminary Findings: With 2 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 Back Pain was associated with a 11.2% improvement in Incidents of Flatulence—a modest effect. The Predictor Impact Score of 0.00 indicates this relationship is requiring additional data before conclusions.

Bottom Line: Based on a PIS of 0.00 and a 11.2% 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 Back Pain may influence Incidents of Flatulence 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 2 participants. Thus, the study design is equivalent to the aggregation of 2 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 Back Pain would produce an observable change in Incidents of Flatulence.
  • Duration of Action: It was assumed that Back Pain could produce an observable change in Incidents of Flatulence for as much as 24 hours after the stimulus event.

Statistical Methods

For each participant, we calculated the Pearson correlation coefficient between Back Pain values and subsequent Incidents of Flatulence 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

Back Pain 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.

Incidents of Flatulence 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 Back Pain Affect Incidents of Flatulence?. The Journal of Citizen Science. https://studies.crowdsourcingcures.org/study/cause-1919-effect-86736-population-study
BibTeX 
@misc{sinn_cause_1919_effect_86736_population_study_2026,
  author = {Sinn, Mike P.},
  title = {Causal Analysis: Does Back Pain Affect Incidents of Flatulence?},
  year = {2026},
  publisher = {The Journal of Citizen Science},
  url = {https://studies.crowdsourcingcures.org/study/cause-1919-effect-86736-population-study},
  note = {Accessed: January 6, 2026}
}
Chicago/Turabian
Sinn, Mike P. "Causal Analysis: Does Back Pain Affect Incidents of Flatulence?." The Journal of Citizen Science. Accessed January 6, 2026. https://studies.crowdsourcingcures.org/study/cause-1919-effect-86736-population-study.
Harvard
Sinn, M.P., 2026. Causal Analysis: Does Back Pain Affect Incidents of Flatulence?. [Aggregated N-of-1 Study] The Journal of Citizen Science. Available at: https://studies.crowdsourcingcures.org/study/cause-1919-effect-86736-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

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