cause image
gauge image
effect image

This individual's Sleep Duration is generally highest after a daily total of 2 serving of Dark Mint Chocolate Chip Protein Bar consumption over the previous 7 days.
Join This Study
Go To Interactive Study
Blue represents the sum of Dark Mint Chocolate Chip Protein Bar consumption over the previous 7 days
An increase in 7 days cumulative Dark Mint Chocolate Chip Protein Bar consumption is usually followed by an increase in Sleep Duration. (R = 0.009)
Typical values for Sleep Duration following a given amount of Dark Mint Chocolate Chip Protein Bar consumption over the previous 7 days.
Typical Dark Mint Chocolate Chip Protein Bar consumption seen over the previous 7 days preceding the given Sleep Duration value.
This chart shows how your Dark Mint Chocolate Chip Protein Bar changes over time.
Each column represents the number of days this value occurred.
This chart shows the typical value recorded for Dark Mint Chocolate Chip Protein Bar on each day of the week.
This chart shows the typical value recorded for Dark Mint Chocolate Chip Protein Bar 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 1% higher than normal after a total of 2 serving Dark Mint Chocolate Chip Protein Bar consumption over the previous 7 days. This individual's data suggests with a high degree of confidence (p=0.25458735298945, 95% CI -0.192 to 0.21) that Dark Mint Chocolate Chip Protein Bar has a very weakly positive predictive relationship (R=0.01) with Sleep Duration. The highest quartile of Sleep Duration measurements were observed following an average 1.31 serving Dark Mint Chocolate Chip Protein Bar per day. The lowest quartile of Sleep Duration measurements were observed following an average 1.1794258373206 serving Dark Mint Chocolate Chip Protein Bar per day.Sleep Duration is generally 0% lower than normal after a total of 1.1794258373206 serving of Dark Mint Chocolate Chip Protein Bar consumption over the previous 7 days. Sleep Duration is generally 1% higher after a total of 1.31 serving of Dark Mint Chocolate Chip Protein Bar consumption over the previous 7 days.

Objective

The objective of this study is to determine the nature of the relationship (if any) between Dark Mint Chocolate Chip Protein Bar and Sleep Duration. Additionally, we attempt to determine the Dark Mint Chocolate Chip Protein Bar values most likely to produce optimal Sleep Duration values.

Participant Instructions

Get MyFitnessPal here and use it to record your Dark Mint Chocolate Chip Protein Bar. Once you have a MyFitnessPal 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

Dark Mint Chocolate Chip Protein Bar Pre-Processing
Dark Mint Chocolate Chip Protein Bar measurement values below 0 serving were assumed erroneous and removed. Dark Mint Chocolate Chip Protein Bar measurement values above 30 serving were assumed erroneous and removed. It was assumed that any gaps in Dark Mint Chocolate Chip Protein Bar data were unrecorded 0 serving measurement values.
Dark Mint Chocolate Chip Protein Bar 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 0.5 hours would pass before a change in Dark Mint Chocolate Chip Protein Bar would produce an observable change in Sleep Duration. It was assumed that Dark Mint Chocolate Chip Protein Bar could produce an observable change in Sleep Duration for as much as 7 days after the stimulus event.
Predictive Analysis Settings

Data Quantity
316 raw Dark Mint Chocolate Chip Protein Bar measurements with 157 changes spanning 413 days from 2013-01-14 to 2014-03-03 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

Dark Mint Chocolate Chip Protein Bar data was primarily collected using MyFitnessPal. Lose weight with MyFitnessPal, the fastest and easiest-to-use calorie counter for iPhone and iPad. With the largest food database of any iOS calorie counter (over 3,000,000 foods), and amazingly fast food and exercise entry.

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 very weakly positive relationship between Dark Mint Chocolate Chip Protein Bar consumption 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. 1736 paired data points were used in this analysis. Assuming that the relationship is merely coincidental, as the participant independently modifies their Dark Mint Chocolate Chip Protein Bar consumption 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, 1 humans feel that there is a plausible mechanism of action and 0 feel that any relationship observed between Dark Mint Chocolate Chip Protein Bar consumption 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 Dark Mint Chocolate Chip Protein Bar consumption
Effect Variable Name Sleep Duration
Sinn Predictive Coefficient 0.009
Confidence Level high
Confidence Interval 0.2007977789759
Forward Pearson Correlation Coefficient 0.009
Critical T Value 1.646
Total Dark Mint Chocolate Chip Protein Bar consumption Over Previous 7 days Before ABOVE Average Sleep Duration 1.31 serving
Total Dark Mint Chocolate Chip Protein Bar consumption Over Previous 7 days Before BELOW Average Sleep Duration 1.179 serving
Duration of Action 7 days
Effect Size very weakly positive
Number of Paired Measurements 1736
Optimal Pearson Product 0.00028842858867827
P Value 0.25458735298945
Statistical Significance 0.9967
Strength of Relationship 0.2007977789759
Study Type individual
Analysis Performed At 2019-04-04

Dark Mint Chocolate Chip Protein Bar Statistics

Property Value
Variable Name Dark Mint Chocolate Chip Protein Bar
Aggregation Method SUM
Analysis Performed At 2018-12-22
Duration of Action 7 days
Kurtosis 32.009018888228
Maximum Allowed Value 30 serving
Mean 0.12469 serving
Median 0 serving
Minimum Allowed Value 0 serving
Number of Changes 157
Number of Correlations 120
Number of Measurements 316
Onset Delay 30 minutes
Standard Deviation 0.55280616832866
Unit Serving
Variable ID 1630
Variance 0.30559465974222

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 Dark Mint Chocolate Chip Protein Bar

Get MyFitnessPal here and use it to record your Dark Mint Chocolate Chip Protein Bar. Once you have a MyFitnessPal 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.
Join This Study

https://lh6.googleusercontent.com/-BHr4hyUWqZU/AAAAAAAAAAI/AAAAAAAIG28/2Lv0en738II/photo.jpg Principal Investigator - Mike Sinn