Charts
Trait Correlation Between Fat Ratio and Stress
Fat Ratio Charts
Daily Distribution
Average by Day of Week
Average by Month
Average by Year
Stress Charts
Daily Distribution
Average by Day of Week
Average by Month
Average by Year
Relationship Charts
Stress Following Fat Ratio
Correlation Between Fat Ratio and Stress by Duration of Action
Correlation Between Fat Ratio and Stress by Onset Delay
Average Fat Ratio Preceding Stress
Average Stress by Previous Fat Ratio
Abstract
Stress was generally 7.2% higher than average after 9.12 percent of Fat Ratio per 7 days.
Aggregated data from 3 study participants suggests with a LOW degree of confidence (p=0.348, 95% CI -0.453 to 0.281) that Fat Ratio has a very weakly negative predictive relationship (R=-0.0859) with Stress.
The highest quartile of Stress measurements were observed following an average 8.58 percent Fat Ratio.
The lowest quartile of Stress measurements were observed following an average 9.1 percent of Fat Ratio.
After an onset delay of 0 seconds, Stress is typically 3% higher than average over the 7 days following around 9.1 percent Fat Ratio.
Objective
Participant Instructions
Automatic Import of Fat Ratio via Withings
Get Withings here
and use it to record your Fat Ratio. Then,
import your data here
.
Manual Recording Option
Create a reminder for Fat Ratio here
and record it daily by enabling notifications or using
the reminder inbox here
.
Manual Recording Option
Create a reminder for Stress here
and record it daily by enabling notifications or using
the reminder inbox here
.
Design
This study is based on data donated by 3 participants. Thus, the study design is equivalent to the aggregation of 3 separate n=1 observational natural experiments.
Data Analysis
Fat Ratio Pre-Processing
No minimum allowed measurement value was defined for Fat Ratio. No maximum allowed measurement value was defined for Fat Ratio. No missing data filling value was defined for Fat Ratio so any gaps in data were just not analyzed instead of assuming zero values for those times.
Stress Pre-Processing
Stress measurement values below 1 out of 5 were assumed erroneous and removed. Stress measurement values above 5 out of 5 were assumed erroneous and removed. No missing data filling value was defined for Stress so any gaps in data were just not analyzed instead of assuming zero values for those times.
Predictive Analytics
It was assumed that 0 seconds would pass before a change in Fat Ratio would produce an observable change in Stress.
It was assumed that Fat Ratio could produce an observable change in Stress for as much as 7 days after the stimulus event.
Statistical Significance
Using a two-tailed t-test with alpha = 0.05, it was determined that the change in Stress is not statistically significant at a 95% confidence interval. This suggests that the Fat Ratio value does not have a significant influence on the Stress value.
After treatment, a 14.8% increase (0.113 out of 5) from the mean baseline 1.85 out of 5 was observed. The relative standard deviation at baseline was 27.15%. The observed change was 0.35551 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).
Data Sources
Fat Ratio data was primarily collected using Withings. Withings creates smart products and apps to take care of yourself and your loved ones in a new and easy way. Discover the Withings Pulse, Wi-Fi Body Scale, and Blood Pressure Monitor.
Stress 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.
Limitations
As with any human experiment, it was impossible to control for all potentially confounding variables. Correlation does not necessarily imply causation. We can never know for sure if one factor is definitely the cause of an outcome. However, lack of correlation definitely implies the lack of a causal relationship. Hence, we can with great confidence rule out non-existent relationships. For instance, if we discover no relationship between mood and an antidepressant this information is just as or even more valuable than the discovery that there is a relationship.
We can also take advantage of several characteristics of time series data from many subjects to infer the likelihood of a causal relationship if we do find a correlational relationship. The criteria for causation are a group of minimal conditions necessary to provide adequate evidence of a causal relationship between an incidence and a possible consequence.
Criteria For Causal Inference
Strength (A.K.A. Effect Size)
A small association does not mean that there is not a causal effect, though the larger the association, the more likely that it is causal. There is a very weakly negative (R = -0.0859) relationship between Fat Ratio and Stress.
Consistency (A.K.A. Reproducibility)
Consistent findings observed by different persons in different places with different samples strengthens the likelihood of an effect. Furthermore, in accordance with the law of large numbers (LLN), the predictive power and accuracy of these results will continually grow over time. 65 paired data points were used in this analysis. Assuming that the relationship is merely coincidental, as the participant independently modifies their Fat Ratio values, the observed strength of the relationship will decline until it is below the threshold of significance. To it another way, in the case that we do find a spurious correlation, suggesting that banana intake improves mood for instance, one will likely increase their banana intake. Due to the fact that this correlation is spurious, it is unlikely that you will see a continued and persistent corresponding increase in mood. So over time, the spurious correlation will naturally dissipate.
Specificity
Causation is likely if a very specific population at a specific site and disease with no other likely explanation. The more specific an association between a factor and an effect is, the bigger the probability of a causal relationship.
Temporality
The effect has to occur after the cause (and if there is an expected delay between the cause and expected effect, then the effect must occur after that delay). The confidence in a causal relationship is bolstered by the fact that time-precedence was taken into account in all calculations.
Biological Gradient
Greater exposure should generally lead to greater incidence of the effect. However, in some cases, the mere presence of the factor can trigger the effect. In other cases, an inverse proportion is observed: greater exposure leads to lower incidence.
Plausibility
A plausible bio-chemical mechanism between cause and effect is critical. This is where human brains excel.
Based on our responses so far,
0 humans feel that there is a plausible mechanism of action for a relationship between Fat Ratio and Stress.
0 humans feel that any relationship observed between Fat Ratio and Stress is coincidental.
Coherence
Coherence between epidemiological and laboratory findings increases the likelihood of an effect. It will be very enlightening to aggregate this data with the data from other participants with similar genetic, diseasomic, environmentomic, and demographic profiles.
Experiment
All of human life can be considered a natural experiment. Occasionally, it is possible to appeal to experimental evidence.
Analogy
The effect of similar factors may be considered.
Plausibility
A plausible bio-chemical mechanism between cause and effect is critical. This is where human brains excel. Based on our responses so far, 0 humans feel that there is a plausible mechanism of action and 0 feel that any relationship observed between Fat Ratio and Stress is coincidental.
Relationship Statistics
| Property | Value |
|---|---|
| Cause Variable Name | Fat Ratio |
| Effect Variable Name | Stress |
| Sinn Predictive Coefficient | 0.022263715161678 |
| Confidence Level | LOW |
| Confidence Interval | 0.36683 |
| Forward Pearson Predictive Coefficient | -0.0859 |
| Critical T Value | 1.6815 |
| Average Fat Ratio Over Previous 7 days Before ABOVE Average Stress | 8.58 percent |
| Average Fat Ratio Over Previous 7 days Before BELOW Average Stress | 9.1 percent |
| Duration of Action | 7 days |
| Effect Size | very weakly negative |
| Number of Paired Measurements | 65 |
| Optimal Pearson Product | 0.040362455861566 |
| P Value | 0.34752 |
| Statistical Significance | 0.5648 |
| Strength of Relationship | 0.36683 |
| Study Type | population |
| Analysis Performed At | 2021-08-30 |
| Number of Participants | 3 |
Fat Ratio Info
| Property | Value |
|---|---|
| Variable Name | Fat Ratio |
| Aggregation Method | MEAN |
| Analysis Performed At | 2020-10-09 |
| Duration of Action | 7 days |
| Kurtosis | 11.53441254787 |
| Mean | 21.956504458737 percent |
| Median | 21.654810416667 percent |
| Number of Aggregate Predictors | 1644 |
| Number of Aggregate Outcomes | 158 |
| Number of Measurements | 16661 |
| Number of Measurements (including those generated by tagged, joined, or child variables) | 11132 |
| Public | true |
| Onset Delay | 0 seconds |
| Standard Deviation | 3.6716201216785 |
| Unit | Percent |
| User Variables | 37 |
| UPC | 795186416775 |
| Variable Category | Physique |
| Variable ID | 1875 |
| Variance | 39.258453973033 |
Stress Info
| Property | Value |
|---|---|
| Variable Name | Stress |
| Aggregation Method | MEAN |
| Analysis Performed At | 2020-10-11 |
| Duration of Action | 24 hours |
| Kurtosis | 1.8809357655084 |
| Maximum Allowed Value | 5 out of 5 |
| Mean | 3.1520495432579 out of 5 |
| Median | 3.1470732142857 out of 5 |
| Minimum Allowed Value | 1 out of 5 |
| Number of Aggregate Predictors | 1106 |
| Number of Aggregate Outcomes | 159 |
| Number of Measurements | 4008 |
| Number of Measurements (including those generated by tagged, joined, or child variables) | 3438 |
| Public | true |
| Onset Delay | 0 seconds |
| Standard Deviation | 0.37961607684605 |
| Unit | 1 to 5 Rating |
| User Variables | 484 |
| UPC | 637769766238 |
| Variable Category | Emotions |
| Variable ID | 1923 |
| Variance | 0.3902865870594 |