Higher Sodium Intake Predicts Very Slightly Higher Attentiveness for Population

Higher Sodium Intake Predicts Very Slightly Higher Attentiveness for Population

Contents

Variables

A
Sodium 174
A
Attentiveness 1093

Categories

A
Nutrients 313
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Emotions 2028

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Medium Confidence
Very Weak Effect Size
Positive Relationship
Population Study
cause image gauge image effect image
Participants reported a 0.2% average decrease in Attentiveness following above average Sodium Intake.

Abstract

Attentiveness was generally 4% higher than average after a total of 449 milligrams of Sodium over the previous 7 days.

Aggregated data from 12 study participants suggests with a MEDIUM degree of confidence (p=0.294, 95% CI -0.738 to 0.848) that Sodium has a very weakly positive predictive relationship (R=0.0546) with Attentiveness.

The highest quartile of Attentiveness measurements were observed following an average 26.2 milligrams Sodium per day.

The lowest quartile of Attentiveness measurements were observed following an average 8360 milligrams of Sodium per day.

After an onset delay of 0 seconds, Attentiveness is typically 3% lower than average over the 7 days following around 8360 milligrams of Sodium Sodium.

Keywords: Sodium, Attentiveness, N-of-1 trials, real-world evidence, causal inference, observational study

Moderate Confidence: Based on 12 participants. More data would increase certainty.

Results

Primary Findings

Analysis of 275 paired observations from 12 participants revealed a modest improvement in Attentiveness following above-average Sodium exposure.

+10.2%
Change from Baseline
Modest effect on Attentiveness
0.04
Predictor Impact Score
Insufficient evidence for causal relationship

Supporting Statistics

Medium
Confidence
0.055
Correlation (r)
p = 0.122
Significance
z = 0.44
Effect Magnitude
φ = 1.00
Temporality

What This Means

When participants had above-average Sodium:

  • Attentiveness increased by 10.2% on average
  • Temporal analysis supports Sodium 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 12 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 12 participants and 275 observations, these optimal values are preliminary estimates. As more data is collected, precision will improve significantly.

448.9 mg
Value Predicting Higher Attentiveness
Average Sodium when Attentiveness exceeded its mean
265.4 mg
Value Predicting Lower Attentiveness
Average Sodium when Attentiveness was below its mean

What This Suggests

Attentiveness tended to be highest when Sodium was around 448.9 mg.

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

Sodium Distribution

Attentiveness Distribution

Relationship Analysis

Statistical Summary

Relationship Statistics

Property Value
Cause Variable Name Sodium Intake
Effect Variable Name Attentiveness
Sinn Predictive Coefficient 0.038154796296167
Confidence Level MEDIUM
Confidence Interval 0.79291210674878
Forward Pearson Predictive Coefficient 0.0546
Critical T Value 1.79375
Total Sodium Intake Over Previous 7 days Before ABOVE Average Attentiveness 26.2 milligrams
Total Sodium Intake Over Previous 7 days Before BELOW Average Attentiveness 8360 milligrams
Duration of Action 7 days
Effect Size very weakly positive
Number of Paired Measurements 275
Optimal Pearson Product 0.032681859723411
P Value 0.2942488393846
Statistical Significance 0.1216
Strength of Relationship 0.79291210674878
Study Type population
Analysis Performed At 2026-01-04
Number of Participants 12

Sodium Info

Property Value
Variable Name Sodium
Aggregation Method SUM
Analysis Performed At 2020-10-11
Duration of Action 7 days
Filling Value 0
Kurtosis 37.405303840253
Mean 496.45252362059 milligrams
Median 241.56694214876 milligrams
Minimum Allowed Value 0 milligrams
Number of Aggregate Predictors 0
Number of Aggregate Outcomes 174
Number of Measurements 21968
Number of Measurements (including those generated by tagged, joined, or child variables) 5220
Public true
Onset Delay 0 seconds
Standard Deviation 790.27138634588
Unit Milligrams
User Variables 121
UPC 0
Variable Category Nutrients
Variable ID 1449
Variance 896299.74043132

Attentiveness Info

Property Value
Variable Name Attentiveness
Aggregation Method MEAN
Analysis Performed At 2020-09-17
Duration of Action 24 hours
Kurtosis 2.8989604447383
Maximum Allowed Value 5 out of 5
Mean 2.6104259171135 out of 5
Median 2.603650254387 out of 5
Minimum Allowed Value 1 out of 5
Number of Aggregate Predictors 979
Number of Aggregate Outcomes 114
Number of Measurements 20541
Number of Measurements (including those generated by tagged, joined, or child variables) 20486
Public true
Onset Delay 0 seconds
Standard Deviation 0.46181906465469
Unit 1 to 5 Rating
User Variables 1464
UPC 0
Variable Category Emotions
Variable ID 1267
Variance 0.46818963151551

Introduction

Background

Sodium (Nutrients) and Attentiveness (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 Sodium affect Attentiveness?

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 Sodium for maximizing Attentiveness?

Study Objective

The objective of this study is to determine the nature of the relationship (if any) between Sodium and Attentiveness. Additionally, we attempt to determine the Sodium values most likely to produce optimal Attentiveness 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 10.2% improvement in Attentiveness following above-average Sodium exposure. The Predictor Impact Score (PIS) of 0.04 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 Attentiveness is not statistically significant at a 95% confidence interval. This suggests that the Sodium value may not have a significant influence on the Attentiveness value, or that more data is needed to detect an effect.

After treatment, a 0.2% decrease (0.226 out of 5) from the mean baseline 2.4 out of 5 was observed. The relative standard deviation at baseline was 27.725%. The observed change was 0.439436 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: 0.876
Critical t-value: 1.794

Since t = 0.88 < 1.79, 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 Sodium might influence Attentiveness.

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

Conclusion

📊 Preliminary Findings: With 12 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 Sodium was associated with a 10.2% improvement in Attentiveness—a modest effect. The Predictor Impact Score of 0.04 indicates this relationship is requiring additional data before conclusions.

Bottom Line: Based on a PIS of 0.04 and a 10.2% 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 Sodium may influence Attentiveness 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 12 participants. Thus, the study design is equivalent to the aggregation of 12 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 Sodium would produce an observable change in Attentiveness.
  • Duration of Action: It was assumed that Sodium could produce an observable change in Attentiveness for as much as 7 days after the stimulus event.

Statistical Methods

For each participant, we calculated the Pearson correlation coefficient between Sodium values and subsequent Attentiveness 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

Sodium data was primarily collected using MyNetDiary. MyNetDiary is an online and mobile food diary with calorie counter and online community. MyNetDiary provides instant and easy food entry, searching while you type. Enter foods 2-3 times faster than with any other food diary.

Attentiveness 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 Sodium Affect Attentiveness?. The Journal of Citizen Science. https://studies.crowdsourcingcures.org/study/cause-1449-effect-1267-population-study
BibTeX 
@misc{sinn_cause_1449_effect_1267_population_study_2026,
  author = {Sinn, Mike P.},
  title = {Causal Analysis: Does Sodium Affect Attentiveness?},
  year = {2026},
  publisher = {The Journal of Citizen Science},
  url = {https://studies.crowdsourcingcures.org/study/cause-1449-effect-1267-population-study},
  note = {Accessed: January 7, 2026}
}
Chicago/Turabian
Sinn, Mike P. "Causal Analysis: Does Sodium Affect Attentiveness?." The Journal of Citizen Science. Accessed January 7, 2026. https://studies.crowdsourcingcures.org/study/cause-1449-effect-1267-population-study.
Harvard
Sinn, M.P., 2026. Causal Analysis: Does Sodium Affect Attentiveness?. [Aggregated N-of-1 Study] The Journal of Citizen Science. Available at: https://studies.crowdsourcingcures.org/study/cause-1449-effect-1267-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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