This individual's Overall Mood is generally 1.7% higher after 4.98 out of 5 Vivid Dreams over the previous 24 hours.
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Blue represents the mean of Vivid Dreams over the previous 24 hours
An increase in 24 hours cumulative Vivid Dreams is usually followed by an increase in Overall Mood. (R = 0.072)
Typical values for Overall Mood following a given amount of Vivid Dreams over the previous 24 hours.
Typical Vivid Dreams seen over the previous 24 hours 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 Vivid Dreams changes over time.
Each column represents the number of days this value occurred.
This chart shows the typical value recorded for Vivid Dreams on each day of the week.
This chart shows the typical value recorded for Vivid Dreams 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 1% higher than normal after an average of 4 out of 5 Vivid Dreams over the previous 24 hours. This individual's data suggests with a medium degree of confidence (p=0.30823403471949, 95% CI -0.039 to 0.183) that Vivid Dreams has a very weakly positive predictive relationship (R=0.07) with Overall Mood. The highest quartile of Overall Mood measurements were observed following an average 3.71 out of 5 Vivid Dreams. The lowest quartile of Overall Mood measurements were observed following an average 3.4255319148936 /5 Vivid Dreams. Overall Mood is generally 1% lower than normal after an average of 3.4255319148936 out of 5 of Vivid Dreams over the previous 24 hours. Overall Mood is generally 1% higher after an average of 3.71 out of 5 of Vivid Dreams over the previous 24 hours.

Objective

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

Participant Instructions

Record your Vivid Dreams 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

Vivid Dreams Pre-Processing
Vivid Dreams measurement values below 1 out of 5 were assumed erroneous and removed. Vivid Dreams measurement values above 5 out of 5 were assumed erroneous and removed. No missing data filling value was defined for Vivid Dreams so any gaps in data were just not analyzed instead of assuming zero values for those times.
Vivid Dreams 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 hours would pass before a change in Vivid Dreams would produce an observable change in Overall Mood. It was assumed that Vivid Dreams could produce an observable change in Overall Mood for as much as 1 days after the stimulus event.
Predictive Analysis Settings

Data Quantity
199 raw Vivid Dreams measurements with 56 changes spanning 327 days from 2018-09-30 to 2019-08-22 were used in this analysis. 14182 raw Overall Mood measurements with 1273 changes spanning 2665 days from 2012-05-06 to 2019-08-22 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 Vivid Dreams value does not have a significant influence on the Overall Mood value.After treatment, a 1.7% increase (0.04841696535245 out of 5) from the mean baseline 2.7997311827957 out of 5 was observed. The relative standard deviation at baseline was 16.9%. The observed change was 0.10242182273814 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

Vivid Dreams 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 Vivid Dreams 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. 170 paired data points were used in this analysis. Assuming that the relationship is merely coincidental, as the participant independently modifies their Vivid Dreams 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 Vivid Dreams 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.

Relationship Statistics

Property Value
Cause Variable Name Vivid Dreams
Effect Variable Name Overall Mood
Sinn Predictive Coefficient 0.0571
Confidence Level medium
Confidence Interval 0.11095283523862
Forward Pearson Predictive Coefficient 0.072
Critical T Value 1.646
Average Vivid Dreams Over Previous 24 hours Before ABOVE Average Overall Mood 3.71 out of 5
Average Vivid Dreams Over Previous 24 hours Before BELOW Average Overall Mood 3.426 out of 5
Duration of Action 24 hours
Effect Size very weakly positive
Number of Paired Measurements 185
Optimal Pearson Product 0.011031326594026
P Value 0.30823403471949
Statistical Significance 0.7936
Strength of Relationship 0.11095283523862
Study Type individual
Analysis Performed At 2019-08-07
Number of Pairs 185
Number of Raw Predictor Measurements ( Including Tags, Joins, and Children) 184
Baseline Relative Standard Deviation of Outcome Measurements 16.9
Experiment Duration (days) 326
Number of Raw Outcome Measurements 14111
Z Score 0.10242182273814
Last Analysis 2019-08-07
Experiment Began 2018-09-30 00:00:00
Experiment Ended 2019-08-22 21:00:00
P Value 0.30823403471949
Predictor Category Symptoms
Duration of Action (h) 24
Significance 0.7936
Outcome Relative Standard Deviation at Baseline 16.9
Outcome Standard Deviation at Baseline 0.47272118439288/5
Outcome Mean at Baseline 2.7997311827957/5
Average Followup Change From Baseline 1.7&
Average Absolute Followup Change From Baseline 2.8481481481481/5
Z- Score 0.10242182273814
Average Predictor Treatment Value 4.98/5 over 24 hours

Vivid Dreams Statistics

Property Value
Variable Name Vivid Dreams
Aggregation Method MEAN
Analysis Performed At 2019-08-22
Duration of Action 24 hours
Kurtosis 1.4207332895626
Maximum Allowed Value 5 out of 5
Mean 3.5753 out of 5
Median 5 out of 5
Minimum Allowed Value 1 out of 5
Number of Changes 56
Number of Correlations 259
Number of Measurements 199
Onset Delay 0 seconds
Standard Deviation 1.8620625538294
Unit 1 to 5 Rating
UPC 863384000000
Variable ID 87812
Variance 3.4672769543737

Overall Mood Statistics

Property Value
Variable Name Overall Mood
Aggregation Method MEAN
Analysis Performed At 2019-08-22
Duration of Action 24 hours
Kurtosis 6.8592239252433
Maximum Allowed Value 5 out of 5
Mean 2.9065 out of 5
Median 3 out of 5
Minimum Allowed Value 1 out of 5
Number of Changes 1273
Number of Correlations 4592
Number of Measurements 14182
Onset Delay 0 seconds
Standard Deviation 0.52145727417909
Unit 1 to 5 Rating
UPC 767674073845
Variable ID 1398
Variance 0.27191768879429

Tracking Vivid Dreams

Record your Vivid Dreams 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