Charts
Trait Correlation Between Muscle Mass and Calories Burned
Muscle Mass Charts
Daily Distribution
Average by Day of Week
Average by Month
Average by Year
Calories Burned Charts
Daily Distribution
Average by Day of Week
Average by Month
Average by Year
Abstract
Calories Burned was generally 0% higher than average after a total of 44.8 kilograms of Muscle Mass over the previous 7 days.
Aggregated data from 1 study participants suggests with a MEDIUM degree of confidence (p=0.363, 95% CI -170.915 to 171.115) that Muscle Mass has a weakly positive predictive relationship (R=0.1) with Calories Burned.
The highest quartile of Calories Burned measurements were observed following an average 44.7 kilograms Muscle Mass per day.
The lowest quartile of Calories Burned measurements were observed following an average 44.3 kilograms of Muscle Mass per day.
After an onset delay of 0 seconds, Calories Burned is typically 0% lower than average over the 7 days following around 44.3 kilograms Muscle Mass.
Objective
Participant Instructions
Automatic Import of Muscle Mass via Withings
Get Withings here
and use it to record your Muscle Mass. Then,
import your data here
.
Manual Recording Option
Create a reminder for Muscle Mass here
and record it daily by enabling notifications or using
the reminder inbox here
.
Automatic Import of Calories Burned via Fitbit
Get Fitbit here
and use it to record your Calories Burned. Then,
import your data here
.
Manual Recording Option
Create a reminder for Calories Burned here
and record it daily by enabling notifications or using
the reminder inbox here
.
Automatic Import of Calories Burned via Google Fit
Get Google Fit here
and use it to record your Calories Burned. Then,
import your data here
.
Automatic Import of Calories Burned via Withings
Get Withings here
and use it to record your Calories Burned. Then,
import your data here
.
Design
This study is based on data donated by 1 participants. Thus, the study design is equivalent to the aggregation of 1 separate n=1 observational natural experiments.
Data Analysis
Muscle Mass Pre-Processing
Muscle Mass measurement values below 0 kilograms were assumed erroneous and removed. No maximum allowed measurement value was defined for Muscle Mass. No missing data filling value was defined for Muscle Mass so any gaps in data were just not analyzed instead of assuming zero values for those times.
Calories Burned Pre-Processing
Calories Burned measurement values below 100 kilocalories were assumed erroneous and removed. Calories Burned measurement values above 20000 kilocalories were assumed erroneous and removed. No missing data filling value was defined for Calories Burned 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 Muscle Mass (Weight) would produce an observable change in Calories Burned.
It was assumed that Muscle Mass (Weight) could produce an observable change in Calories Burned 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 Calories Burned is not statistically significant at a 95% confidence interval. This suggests that the Muscle Mass value does not have a significant influence on the Calories Burned value.
After treatment, a 15.3% increase (110 kilocalories) from the mean baseline 1370 kilocalories was observed. The relative standard deviation at baseline was 61.8%. The observed change was 0.13 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
Muscle Mass (Weight) 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.
Calories Burned data was primarily collected using Fitbit. Fitbit makes activity tracking easy and automatic.
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 weakly positive (R = 0.1001) relationship between Muscle Mass and Calories Burned.
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. 222 paired data points were used in this analysis. Assuming that the relationship is merely coincidental, as the participant independently modifies their Muscle Mass 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 Muscle Mass and Calories Burned.
0 humans feel that any relationship observed between Muscle Mass and Calories Burned 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 Muscle Mass and Calories Burned is coincidental.
Relationship Statistics
| Property | Value |
|---|---|
| Cause Variable Name | Muscle Mass |
| Effect Variable Name | Calories Burned |
| Sinn Predictive Coefficient | 0.0047628873787461 |
| Confidence Level | MEDIUM |
| Confidence Interval | 171.01462199238 |
| Forward Pearson Predictive Coefficient | 0.1001 |
| Critical T Value | 1.646 |
| Total Muscle Mass Over Previous 7 days Before ABOVE Average Calories Burned | 44.7 kilograms |
| Total Muscle Mass Over Previous 7 days Before BELOW Average Calories Burned | 44.3 kilograms |
| Duration of Action | 7 days |
| Effect Size | weakly positive |
| Number of Paired Measurements | 222 |
| Optimal Pearson Product | 0.02148716400485 |
| P Value | 0.36345133840603 |
| Statistical Significance | 0.9986 |
| Strength of Relationship | 171.01462199238 |
| Study Type | population |
| Analysis Performed At | 2021-08-30 |
| Number of Participants | 1 |
Muscle Mass Info
| Property | Value |
|---|---|
| Variable Name | Muscle Mass (Weight) |
| Aggregation Method | SUM |
| Analysis Performed At | 2021-06-10 |
| Duration of Action | 7 days |
| Kurtosis | 2.4492429254622 |
| Mean | 44.673 kilograms |
| Median | 44.5 kilograms |
| Minimum Allowed Value | 0 kilograms |
| Number of Aggregate Predictors | 1 |
| Number of Aggregate Outcomes | 0 |
| Number of Measurements | 276 |
| Number of Measurements (including those generated by tagged, joined, or child variables) | 276 |
| Public | true |
| Onset Delay | 0 seconds |
| Standard Deviation | 1.5524077053066 |
| Unit | Kilograms |
| User Variables | 1 |
| Variable Category | Physique |
| Variable ID | 6066510 |
| Variance | 2.4099696834954 |
Calories Burned Info
| Property | Value |
|---|---|
| Variable Name | Calories Burned |
| Aggregation Method | SUM |
| Analysis Performed At | 2020-09-23 |
| Duration of Action | 7 days |
| Kurtosis | 10.719482104079 |
| Maximum Allowed Value | 20000 kilocalories |
| Mean | 1693.6119981094 kilocalories |
| Median | 1643.7344918892 kilocalories |
| Minimum Allowed Value | 100 kilocalories |
| Number of Aggregate Predictors | 667 |
| Number of Aggregate Outcomes | 211 |
| Number of Measurements | 122895 |
| Number of Measurements (including those generated by tagged, joined, or child variables) | 21949 |
| Public | true |
| Onset Delay | 0 seconds |
| Standard Deviation | 420.78331639612 |
| Unit | Kilocalories |
| User Variables | 393 |
| UPC | 0 |
| Variable Category | Physical Activity |
| Variable ID | 1280 |
| Variance | 236738.41913029 |