Higher Tea - Brewed, Prepared With Tap Water Intake Predicts Significantly Higher Overall Mood for Population

Higher Tea - Brewed, Prepared With Tap Water Intake Predicts Significantly Higher Overall Mood for Population

Contents

Variables

A
Tea - Brewed, Prepared With Tap Water 37
A
Overall Mood 7137

Categories

A
Foods 13415
A
Emotions 2028

Tags

High Confidence
Strong Effect Size
Positive Relationship
Population Study
cause image gauge image effect image
Participants reported a 62.5% average increase in Overall Mood following above average Tea - Brewed, Prepared With Tap Water Intake.

Abstract

<h5>Invalid Variable Name</h5><h5>Solution: View and Delete</h5>

Overall Mood was generally 45% higher than average after a total of 6 count of Tea - Brewed, Prepared With Tap Water over the previous 14 days.

Aggregated data from 2 study participants suggests with a HIGH degree of confidence (p=0.001, 95% CI 0.203 to 1.191) that Tea - Brewed, Prepared With Tap Water has a strongly positive predictive relationship (R=0.697) with Overall Mood.

The highest quartile of Overall Mood measurements were observed following an average 5.25 count Tea - Brewed, Prepared With Tap Water per day.

The lowest quartile of Overall Mood measurements were observed following an average 0.811 count of Tea - Brewed, Prepared With Tap Water per day.

After an onset delay of 30 minutes, Overall Mood is typically 17% lower than average over the 14 days following around 0.811 count of Tea - Brewed, Prepared With Tap Water Tea - Brewed, Prepared With Tap Water.

Keywords: Tea - Brewed, Prepared With Tap Water, Overall Mood, 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 30 paired observations from 2 participants revealed a substantial improvement in Overall Mood following above-average Tea - Brewed, Prepared With Tap Water exposure.

+76.3%
Change from Baseline
Substantial effect on Overall Mood
0.13
Predictor Impact Score
Weak evidence for causal relationship

Supporting Statistics

High
Confidence
0.697
Correlation (r)
p = 0.010
Significance
z = 5.24
Effect Magnitude
φ = 1.00
Temporality

What This Means

When participants had above-average Tea - Brewed, Prepared With Tap Water:

  • Overall Mood increased by 76.3% on average
  • Temporal analysis supports Tea - Brewed, Prepared With Tap Water as the predictor (not the outcome)
  • This relationship is statistically significant (p = 0.010)

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 30 observations, these optimal values are preliminary estimates. As more data is collected, precision will improve significantly.

6.0 count
Value Predicting Higher Overall Mood
Average Tea - Brewed, Prepared With Tap Water when Overall Mood exceeded its mean
4.0 count
Value Predicting Lower Overall Mood
Average Tea - Brewed, Prepared With Tap Water when Overall Mood was below its mean

What This Suggests

Overall Mood tended to be highest when Tea - Brewed, Prepared With Tap Water was around 6.0 count.

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

Tea - Brewed, Prepared With Tap Water Distribution

Overall Mood Distribution

Statistical Summary

Relationship Statistics

Property Value
Cause Variable Name Tea - Brewed, Prepared With Tap Water Intake
Effect Variable Name Overall Mood
Sinn Predictive Coefficient 0.12634466994506
Confidence Level HIGH
Confidence Interval 0.4942
Forward Pearson Predictive Coefficient 0.697
Critical T Value 1.783
Total Tea - Brewed, Prepared With Tap Water Intake Over Previous 14 days Before ABOVE Average Overall Mood 5.25 count
Total Tea - Brewed, Prepared With Tap Water Intake Over Previous 14 days Before BELOW Average Overall Mood 0.811 count
Duration of Action 14 days
Effect Size strongly positive
Number of Paired Measurements 30
Optimal Pearson Product 1.1407346420794
P Value 0.001
Statistical Significance 0.0095
Strength of Relationship 0.4942
Study Type population
Analysis Performed At 2026-01-04
Number of Participants 2

Tea - Brewed, Prepared With Tap Water Info

Property Value
Variable Name Tea - Brewed, Prepared With Tap Water (count)
Aggregation Method SUM
Analysis Performed At 2020-10-09
Duration of Action 14 days
Filling Value 0
Kurtosis 18.144161227629
Mean 0.2676745 count
Median 0 count
Minimum Allowed Value 0 count
Number of Aggregate Predictors 0
Number of Aggregate Outcomes 37
Number of Measurements 20
Number of Measurements (including those generated by tagged, joined, or child variables) 20
Public true
Onset Delay 30 minutes
Standard Deviation 0.54454617084578
Unit Count
User Variables 2
UPC 0
Variable Category Foods
Variable ID 5955737
Variance 0.30159322361785

Overall Mood Info

Property Value
Variable Name Overall Mood
Aggregation Method MEAN
Analysis Performed At 2020-09-12
Duration of Action 24 hours
Kurtosis 3.3832907631011
Maximum Allowed Value 5 out of 5
Mean 3.1202433341482 out of 5
Median 3.1415600073553 out of 5
Minimum Allowed Value 1 out of 5
Number of Aggregate Predictors 6425
Number of Aggregate Outcomes 712
Number of Measurements 617070
Number of Measurements (including those generated by tagged, joined, or child variables) 561596
Public true
Onset Delay 0 seconds
Standard Deviation 0.38176118810538
Unit 1 to 5 Rating
User Variables 9142
UPC 767674073845
Variable Category Emotions
Variable ID 1398
Variance 0.30220747449488

Introduction

Background

Tea - Brewed, Prepared With Tap Water (Foods) and Overall Mood (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 Tea - Brewed, Prepared With Tap Water affect Overall Mood?

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 Tea - Brewed, Prepared With Tap Water for maximizing Overall Mood?

Study Objective

The objective of this study is to determine the nature of the relationship (if any) between Tea - Brewed, Prepared With Tap Water and Overall Mood. Additionally, we attempt to determine the Tea - Brewed, Prepared With Tap Water (count) values most likely to produce optimal Overall Mood 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 76.3% improvement in Overall Mood following above-average Tea - Brewed, Prepared With Tap Water exposure. The Predictor Impact Score (PIS) of 0.13 indicates weak evidence for a causal relationship. This finding is statistically significant (p = 0.010).

Statistical Significance

Using a two-tailed t-test with alpha = 0.05, it was determined that the change in Overall Mood is statistically significant at a 95% confidence interval. The p-value of 0.0095 indicates there is less than a 0.95% probability that this result occurred by chance.

After treatment, a 62.5% increase (1.21 out of 5) from the mean baseline 1.6 out of 5 was observed. The relative standard deviation at baseline was 16.55%. The observed change was 5.2381 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: 4.441
Critical t-value: 1.783

Since t = 4.44 > 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 Tea - Brewed, Prepared With Tap Water might influence Overall Mood.

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

The accuracy of this study may be limited by the fact that <h5>Invalid Variable Name</h5><h5>Solution: View and Delete</h5>. A greater amount of data and more variance in the data would help to resolve this issue.

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 Tea - Brewed, Prepared With Tap Water 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 Tea - Brewed, Prepared With Tap Water
  • 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 Tea - Brewed, Prepared With Tap Water was associated with a 76.3% improvement in Overall Mood—a substantial effect. The Predictor Impact Score of 0.13 indicates this relationship is warranting continued monitoring.

Bottom Line: Based on a PIS of 0.13 and a 76.3% 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 Tea - Brewed, Prepared With Tap Water may influence Overall Mood in real-world conditions. The within-subject design and temporal analysis provide confidence in these relationships, though observational limitations remain.

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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 30 minutes would pass before a change in Tea - Brewed, Prepared With Tap Water would produce an observable change in Overall Mood.
  • Duration of Action: It was assumed that Tea - Brewed, Prepared With Tap Water could produce an observable change in Overall Mood for as much as 14 days after the stimulus event.

Statistical Methods

For each participant, we calculated the Pearson correlation coefficient between Tea - Brewed, Prepared With Tap Water values and subsequent Overall Mood 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

Tea - Brewed, Prepared With Tap Water 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.

Overall Mood 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 Tea - Brewed, Prepared With Tap Water (count) Affect Overall Mood?. The Journal of Citizen Science. https://studies.crowdsourcingcures.org/study/cause-5955737-effect-1398-population-study
BibTeX 
@misc{sinn_cause_5955737_effect_1398_population_study_2026,
  author = {Sinn, Mike P.},
  title = {Causal Analysis: Does Tea - Brewed, Prepared With Tap Water (count) Affect Overall Mood?},
  year = {2026},
  publisher = {The Journal of Citizen Science},
  url = {https://studies.crowdsourcingcures.org/study/cause-5955737-effect-1398-population-study},
  note = {Accessed: January 14, 2026}
}
Chicago/Turabian
Sinn, Mike P. "Causal Analysis: Does Tea - Brewed, Prepared With Tap Water (count) Affect Overall Mood?." The Journal of Citizen Science. Accessed January 14, 2026. https://studies.crowdsourcingcures.org/study/cause-5955737-effect-1398-population-study.
Harvard
Sinn, M.P., 2026. Causal Analysis: Does Tea - Brewed, Prepared With Tap Water (count) Affect Overall Mood?. [Aggregated N-of-1 Study] The Journal of Citizen Science. Available at: https://studies.crowdsourcingcures.org/study/cause-5955737-effect-1398-population-study [Accessed January 14, 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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