Charts
Trait Correlation Between Sleep Efficiency and Body Weight
Sleep Efficiency Charts
Daily Distribution
Average by Day of Week
Average by Month
Average by Year
Body Weight Charts
Daily Distribution
Average by Day of Week
Average by Month
Average by Year
Relationship Charts
Body Weight Following Sleep Efficiency
Correlation Between Sleep Efficiency and Body Weight by Duration of Action
Correlation Between Sleep Efficiency and Body Weight by Onset Delay
Average Sleep Efficiency Preceding Body Weight
Average Body Weight by Previous Sleep Efficiency
Abstract
Body Weight was generally 1% higher than average after an average of 86.6 percent of Sleep Efficiency over the previous 24 hours.
Aggregated data from 56 study participants suggests with a HIGH degree of confidence (p=0.206, 95% CI -3.165 to 3.167) that Sleep Efficiency has a very weakly positive predictive relationship (R=0.001) with Body Weight.
The highest quartile of Body Weight measurements were observed following an average 87.7 percent Sleep Efficiency.
The lowest quartile of Body Weight measurements were observed following an average 88.8 percent of Sleep Efficiency.
After an onset delay of 0 seconds, Body Weight is typically 1% lower than average over the 24 hours following around 88.8 percent Sleep Efficiency.
Objective
Participant Instructions
Automatic Import of Sleep Efficiency via Fitbit
Get Fitbit here
and use it to record your Sleep Efficiency. Then,
import your data here
.
Manual Recording Option
Create a reminder for Sleep Efficiency here
and record it daily by enabling notifications or using
the reminder inbox here
.
Automatic Import of Body Weight via Fitbit
Get Fitbit here
and use it to record your Body Weight. Then,
import your data here
.
Manual Recording Option
Create a reminder for Body Weight here
and record it daily by enabling notifications or using
the reminder inbox here
.
Automatic Import of Body Weight via Google Fit
Get Google Fit here
and use it to record your Body Weight. Then,
import your data here
.
Automatic Import of Body Weight via Withings
Get Withings here
and use it to record your Body Weight. Then,
import your data here
.
Design
This study is based on data donated by 56 participants. Thus, the study design is equivalent to the aggregation of 56 separate n=1 observational natural experiments.
Data Analysis
Sleep Efficiency Pre-Processing
Sleep Efficiency measurement values below 1 percent were assumed erroneous and removed. No maximum allowed measurement value was defined for Sleep Efficiency. No missing data filling value was defined for Sleep Efficiency so any gaps in data were just not analyzed instead of assuming zero values for those times.
Body Weight Pre-Processing
Body Weight measurement values below 0 pounds were assumed erroneous and removed. Body Weight measurement values above 1000 pounds were assumed erroneous and removed. No missing data filling value was defined for Body Weight 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 Sleep Efficiency would produce an observable change in Body Weight.
It was assumed that Sleep Efficiency could produce an observable change in Body Weight for as much as 24 hours after the stimulus event.
Statistical Significance
Using a two-tailed t-test with alpha = 0.05, it was determined that the change in Body Weight is statistically significant at 95% confidence interval.
After treatment, a 0.3% decrease (-1.42 pounds) from the mean baseline 174 pounds was observed. The relative standard deviation at baseline was 2.87679%. The observed change was 561.752 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).
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 positive (R = 0.001) relationship between Sleep Efficiency and Body Weight.
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. 6763 paired data points were used in this analysis. Assuming that the relationship is merely coincidental, as the participant independently modifies their Sleep Efficiency 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 Sleep Efficiency and Body Weight.
0 humans feel that any relationship observed between Sleep Efficiency and Body Weight 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 Sleep Efficiency and Body Weight is coincidental.
Relationship Statistics
| Property | Value |
|---|---|
| Cause Variable Name | Sleep Efficiency |
| Effect Variable Name | Body Weight |
| Sinn Predictive Coefficient | 0.00049815109180266 |
| Confidence Level | HIGH |
| Confidence Interval | 3.1659281416997 |
| Forward Pearson Predictive Coefficient | 0.001 |
| Critical T Value | 1.6814285714286 |
| Average Sleep Efficiency Over Previous 24 hours Before ABOVE Average Body Weight | 87.7 percent |
| Average Sleep Efficiency Over Previous 24 hours Before BELOW Average Body Weight | 88.8 percent |
| Duration of Action | 24 hours |
| Effect Size | very weakly positive |
| Number of Paired Measurements | 6763 |
| Optimal Pearson Product | 0.099085348658528 |
| P Value | 0.20575773432816 |
| Statistical Significance | 0.6859 |
| Strength of Relationship | 3.1659281416997 |
| Study Type | population |
| Analysis Performed At | 2021-08-30 |
| Number of Participants | 56 |
Sleep Efficiency Info
| Property | Value |
|---|---|
| Variable Name | Sleep Efficiency |
| Aggregation Method | MEAN |
| Analysis Performed At | 2020-10-11 |
| Duration of Action | 24 hours |
| Kurtosis | 7.3216313398995 |
| Mean | 86.964972477359 percent |
| Median | 87.801418439716 percent |
| Minimum Allowed Value | 1 percent |
| Number of Aggregate Predictors | 1698 |
| Number of Aggregate Outcomes | 156 |
| Number of Measurements | 22620 |
| Number of Measurements (including those generated by tagged, joined, or child variables) | 1914 |
| Public | true |
| Onset Delay | 0 seconds |
| Standard Deviation | 5.9209578901457 |
| Unit | Percent |
| User Variables | 147 |
| UPC | 878881000699 |
| Variable Category | Sleep |
| Variable ID | 5211811 |
| Variance | 75.785458915098 |
Body Weight Info
| Property | Value |
|---|---|
| Variable Name | Body Weight |
| Aggregation Method | MEAN |
| Analysis Performed At | 2020-09-23 |
| Duration of Action | 7 days |
| Kurtosis | 29.271534088526 |
| Maximum Allowed Value | 1000 pounds |
| Mean | 168.9619340574 pounds |
| Median | 168.27481272906 pounds |
| Minimum Allowed Value | 0 pounds |
| Number of Aggregate Predictors | 883 |
| Number of Aggregate Outcomes | 257 |
| Number of Measurements | 108822 |
| Number of Measurements (including those generated by tagged, joined, or child variables) | 21092 |
| Public | true |
| Onset Delay | 0 seconds |
| Standard Deviation | 8.7190661755282 |
| Unit | Pounds |
| User Variables | 417 |
| UPC | 875011003902 |
| Variable Category | Physique |
| Variable ID | 1486 |
| Variance | 594.35417755402 |