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This individual's Sleep Duration is generally highest after an average of 160 meters of Walk Or Run Distance over the previous 7 days.
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Blue represents the mean of Walk Or Run Distance over the previous 7 days
An increase in 7 days cumulative Walk Or Run Distance is usually followed by an increase in Sleep Duration. (R = 0.146)
Typical values for Sleep Duration following a given amount of Walk Or Run Distance over the previous 7 days.
Typical Walk Or Run Distance seen over the previous 7 days preceding the given Sleep Duration value.
This chart shows how your Walk Or Run Distance changes over time.
Each column represents the number of days this value occurred.
This chart shows the typical value recorded for Walk Or Run Distance on each day of the week.
This chart shows the typical value recorded for Walk Or Run Distance for each month of the year.
This chart shows how your Sleep Duration changes over time.
Each column represents the number of days this value occurred.
This chart shows the typical value recorded for Sleep Duration on each day of the week.
This chart shows the typical value recorded for Sleep Duration for each month of the year.

Abstract

This individual's Sleep Duration is generally 2% higher than normal after an average of 163.8 meters Walk Or Run Distance over the previous 7 days. This individual's data suggests with a high degree of confidence (p=2.6866485397825E-12, 95% CI 0.089 to 0.203) that Walk Or Run Distance has a weakly positive predictive relationship (R=0.15) with Sleep Duration. The highest quartile of Sleep Duration measurements were observed following an average 7 meters Walk Or Run Distance. The lowest quartile of Sleep Duration measurements were observed following an average 5882.4829284894 m Walk Or Run Distance.Sleep Duration is generally 2% lower than normal after an average of 5882.4829284894 meters of Walk Or Run Distance over the previous 7 days. Sleep Duration is generally 2% higher after an average of 7 meters of Walk Or Run Distance over the previous 7 days.

Objective

The objective of this study is to determine the nature of the relationship (if any) between Walk Or Run Distance and Sleep Duration. Additionally, we attempt to determine the Walk Or Run Distance values most likely to produce optimal Sleep Duration values.

Participant Instructions

Get Fitbit here and use it to record your Walk Or Run Distance. Once you have a Fitbit account, you can import your data from the Import Data page. This individual's data will automatically be imported and analyzed.
Get Fitbit here and use it to record your Sleep Duration. Once you have a Fitbit account, you can import your data from the Import Data page. This individual's data will automatically be imported and analyzed.

Design

This study is based on data donated by one participant. Thus, the study design is consistent with an n=1 observational natural experiment.

Data Analysis

Walk Or Run Distance Pre-Processing
Walk Or Run Distance measurement values below 0 meters were assumed erroneous and removed. No maximum allowed measurement value was defined for Walk Or Run Distance. No missing data filling value was defined for Walk Or Run Distance so any gaps in data were just not analyzed instead of assuming zero values for those times.
Walk Or Run Distance Analysis Settings

Sleep Duration Pre-Processing
Sleep Duration measurement values below 3 hours were assumed erroneous and removed. Sleep Duration measurement values above 7 days were assumed erroneous and removed. No missing data filling value was defined for Sleep Duration so any gaps in data were just not analyzed instead of assuming zero values for those times.
Sleep Duration Analysis Settings

Predictive Analytics
It was assumed that 0 hours would pass before a change in Walk Or Run Distance would produce an observable change in Sleep Duration. It was assumed that Walk Or Run Distance could produce an observable change in Sleep Duration for as much as 7 days after the stimulus event.
Predictive Analysis Settings

Data Quantity
2089 raw Walk Or Run Distance measurements with 2027 changes spanning 2542 days from 2012-04-18 to 2019-04-03 were used in this analysis. 2125 raw Sleep Duration measurements with 2041 changes spanning 2531 days from 2012-04-28 to 2019-04-03 were used in this analysis.

Data Sources

Walk Or Run Distance data was primarily collected using Fitbit. Fitbit makes activity tracking easy and automatic.

Sleep Duration 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.

The list of the criteria is as follows:
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 relationship between Walk Or Run Distance and Sleep Duration

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. 2018 paired data points were used in this analysis. Assuming that the relationship is merely coincidental, as the participant independently modifies their Walk Or Run Distance 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, 3 humans feel that there is a plausible mechanism of action and 0 feel that any relationship observed between Walk Or Run Distance and Sleep Duration 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.

Relationship Statistics

Property Value
Cause Variable Name Walk Or Run Distance
Effect Variable Name Sleep Duration
Sinn Predictive Coefficient 0.146
Confidence Level high
Confidence Interval 0.057424041412312
Forward Pearson Correlation Coefficient 0.146
Critical T Value 1.646
Average Walk Or Run Distance Over Previous 7 days Before ABOVE Average Sleep Duration 7 meters
Average Walk Or Run Distance Over Previous 7 days Before BELOW Average Sleep Duration 5 meters
Duration of Action 7 days
Effect Size weakly positive
Number of Paired Measurements 2018
Optimal Pearson Product 0.044553744959665
P Value 2.6866485397825E-12
Statistical Significance 1
Strength of Relationship 0.057424041412312
Study Type individual
Analysis Performed At 2019-04-05

Walk Or Run Distance Statistics

Property Value
Variable Name Walk Or Run Distance
Aggregation Method MEAN
Analysis Performed At 2019-04-05
Duration of Action 7 days
Kurtosis 45.552836201718
Mean 6639.6 meters
Median 6310 meters
Minimum Allowed Value 0 meters
Number of Changes 2027
Number of Correlations 2939
Number of Measurements 2089
Onset Delay 0 seconds
Standard Deviation 4829.4395589703
Unit Meters
UPC 744960759935
Variable ID 1304
Variance 23323486.453747

Sleep Duration Statistics

Property Value
Variable Name Sleep Duration
Aggregation Method MEAN
Analysis Performed At 2019-04-05
Duration of Action 7 days
Kurtosis 2.953205567672
Maximum Allowed Value 7 days
Mean 7 hours
Median 7 hours
Minimum Allowed Value 3 hours
Number of Changes 2041
Number of Correlations 4886
Number of Measurements 2125
Onset Delay 0 seconds
Standard Deviation 1.520583224636
Unit Hours
UPC 067981966602
Variable ID 1867
Variance 2.3121733430444

Tracking Walk Or Run Distance

Get Fitbit here and use it to record your Walk Or Run Distance. Once you have a Fitbit account, you can import your data from the Import Data page. This individual's data will automatically be imported and analyzed.

Tracking Sleep Duration

Get Fitbit here and use it to record your Sleep Duration. Once you have a Fitbit account, you can import your data from the Import Data page. This individual's data will automatically be imported and analyzed.
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https://lh6.googleusercontent.com/-BHr4hyUWqZU/AAAAAAAAAAI/AAAAAAAIG28/2Lv0en738II/photo.jpg Principal Investigator - Mike Sinn