This individual's Overall Mood is generally 2.6% lower after 0.733 tablets Super Omega-3 over the previous 7 days.
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Blue represents the sum of Super Omega-3 over the previous 7 days
An increase in 7 days cumulative Super Omega-3 is usually followed by an increase in Overall Mood. (R = 0.092)
Typical values for Overall Mood following a given amount of Super Omega-3 over the previous 7 days.
Typical Super Omega-3 seen over the previous 7 days preceding the given Overall Mood value.
Correlation between outcome and aggregated predictor measurements over given number of days
Peak correlation suggests the delay between predictor and observable outcome
This chart shows how Super Omega-3 changes over time.
Each column represents the number of days this value occurred.
This chart shows the typical value recorded for Super Omega-3 on each day of the week.
This chart shows the typical value recorded for Super Omega-3 for each month of the year.
This chart shows how Overall Mood changes over time.
Each column represents the number of days this value occurred.
This chart shows the typical value recorded for Overall Mood on each day of the week.
This chart shows the typical value recorded for Overall Mood for each month of the year.

Abstract

This individual's Overall Mood is generally 2% higher than normal after an average of 0.875 tablets Super Omega-3 over the previous 7 days. This individual's data suggests with a medium degree of confidence (p=0.21730501137092, 95% CI -0.038 to 0.222) that Super Omega-3 has a very weakly positive predictive relationship (R=0.09) with Overall Mood. The highest quartile of Overall Mood measurements were observed following an average 0.41 tablets Super Omega-3. The lowest quartile of Overall Mood measurements were observed following an average 0.42206349206349 tablets Super Omega-3. Overall Mood is generally 2% lower than normal after an average of 0.42206349206349 tablets of Super Omega-3 over the previous 7 days. Overall Mood is generally 2% higher after an average of 0.41 tablets of Super Omega-3 over the previous 7 days.

Objective

The objective of this study is to determine the nature of the relationship (if any) between Super Omega-3 and Overall Mood. Additionally, we attempt to determine the Super Omega-3 values most likely to produce optimal Overall Mood values.

Participant Instructions

Record your Super Omega-3 daily in the reminder inbox or using the interactive web or mobile notifications.
Record your Overall Mood daily in the reminder inbox or using the interactive web or mobile notifications.

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

Super Omega-3 Pre-Processing
Super Omega-3 measurement values below 0 tablets were assumed erroneous and removed. Super Omega-3 measurement values above 20 tablets were assumed erroneous and removed. It was assumed that any gaps in Super Omega-3 data were unrecorded 0 tablets measurement values.
Super Omega-3 Analysis Settings

Overall Mood Pre-Processing
Overall Mood measurement values below 1 out of 5 were assumed erroneous and removed. Overall Mood measurement values above 5 out of 5 were assumed erroneous and removed. No missing data filling value was defined for Overall Mood so any gaps in data were just not analyzed instead of assuming zero values for those times.
Overall Mood Analysis Settings

Predictive Analytics
It was assumed that 0.5 hours would pass before a change in Super Omega-3 would produce an observable change in Overall Mood. It was assumed that Super Omega-3 could produce an observable change in Overall Mood for as much as 7 days after the stimulus event.
Predictive Analysis Settings

Data Quantity
76 raw Super Omega-3 measurements with 27 changes spanning 85 days from 2013-10-20 to 2014-01-13 were used in this analysis. 14171 raw Overall Mood measurements with 1271 changes spanning 2662 days from 2012-05-06 to 2019-08-19 were used in this analysis.

Statistical Significance

Using a two-tailed t-test with alpha = 0.05, it was determined that the change in Overall Mood is not statistically significant at a 95% confidence interval. This suggests that the Super Omega-3 value does not have a significant influence on the Overall Mood value.After treatment, a 2.6% decrease (-0.06539032992093 out of 5) from the mean baseline 2.4860028430137 out of 5 was observed. The relative standard deviation at baseline was 18%. The observed change was 0.14628363903174 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 may have only a 5% likelihood of resulting from random fluctuation (a p-value

Data Sources

Super Omega-3 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.

Overall Mood 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.

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 Super Omega-3 and Overall Mood

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. 161 paired data points were used in this analysis. Assuming that the relationship is merely coincidental, as the participant independently modifies their Super Omega-3 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, 2 humans feel that there is a plausible mechanism of action and 2 feel that any relationship observed between Super Omega-3 and Overall Mood 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.

Potential Issues Identified During Analysis
The average of effect values expected to be lower than average (2.4934586247086) are actually higher than the average (2.4490817723781). This suggests a weak relationship or insufficient data.
The average of effect values expected to be higher than average (2.4064799941408) are actually lower than the average (2.4490817723781). This suggests a weak relationship or insufficient data.
The low effect change is greater than the high effect change.

Relationship Statistics

Property Value
Cause Variable Name Super Omega-3
Effect Variable Name Overall Mood
Sinn Predictive Coefficient 0.0861
Confidence Level medium
Confidence Interval 0.12988200031966
Forward Pearson Predictive Coefficient 0.092
Critical T Value 1.646
Average Super Omega-3 Over Previous 7 days Before ABOVE Average Overall Mood 0.41 tablets
Average Super Omega-3 Over Previous 7 days Before BELOW Average Overall Mood 0.422 tablets
Duration of Action 7 days
Effect Size very weakly positive
Number of Paired Measurements 161
Optimal Pearson Product -0.0037408789372658
P Value 0.21730501137092
Statistical Significance 0.7052
Strength of Relationship 0.12988200031966
Study Type individual
Analysis Performed At 2019-07-16
Number of Pairs 161
Number of Raw Predictor Measurements ( Including Tags, Joins, and Children) 76
Baseline Relative Standard Deviation of Outcome Measurements 18
Experiment Duration (days) 165
Number of Raw Outcome Measurements 14050
Z Score 0.14628363903174
Last Analysis 2019-07-16
Experiment Began 2013-09-20 17:00:00
Experiment Ended 2014-03-05 12:30:00
P Value 0.21730501137092
Predictor Category Treatments
Duration of Action (h) 168
Onset Delay (h) 0.5
Significance 0.7052
Outcome Relative Standard Deviation at Baseline 18
Outcome Standard Deviation at Baseline 0.44701054987252/5
Outcome Mean at Baseline 2.4860028430137/5
Average Followup Change From Baseline -2.6&
Average Absolute Followup Change From Baseline 2.4206125130928/5
Z- Score 0.14628363903174
Average Predictor Treatment Value 0.733tablets over 7 days

Super Omega-3 Statistics

Property Value
Variable Name Super Omega-3
Aggregation Method SUM
Analysis Performed At 2019-08-08
Duration of Action 21 days
Kurtosis 2.042306740368
Maximum Allowed Value 20 tablets
Mean 0.72941 tablets
Median 1 tablets
Minimum Allowed Value 0 tablets
Number of Changes 27
Number of Correlations 170
Number of Measurements 76
Onset Delay 30 minutes
Standard Deviation 0.4469003109813
Unit Tablets
UPC 737870198628
Variable ID 1455
Variance 0.19971988795518

Overall Mood Statistics

Property Value
Variable Name Overall Mood
Aggregation Method MEAN
Analysis Performed At 2019-08-19
Duration of Action 24 hours
Kurtosis 6.8691023963331
Maximum Allowed Value 5 out of 5
Mean 2.9073 out of 5
Median 3 out of 5
Minimum Allowed Value 1 out of 5
Number of Changes 1271
Number of Correlations 4600
Number of Measurements 14171
Onset Delay 0 seconds
Standard Deviation 0.52064074107278
Unit 1 to 5 Rating
UPC 767674073845
Variable ID 1398
Variance 0.27106678126481

Tracking Super Omega-3

Record your Super Omega-3 daily in the reminder inbox or using the interactive web or mobile notifications.

Tracking Overall Mood

Record your Overall Mood daily in the reminder inbox or using the interactive web or mobile notifications.
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https://lh6.googleusercontent.com/-BHr4hyUWqZU/AAAAAAAAAAI/AAAAAAAIG28/2Lv0en738II/photo.jpg Principal Investigator - Mike Sinn