Higher Sleep Rating Predicts Moderately Lower Anxiety for Population
Contents
Mike Sinn
PRINCIPAL INVESTIGATOR
Mike Sinn

Variables

A
Sleep Rating 70
A
Anxiety / Nervousness 1826

Categories

A
Symptoms 13336
A
Emotions 2028

Actions

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Your Data

Tags

High Confidence
Weak Effect Size
Negative Relationship
Population Study
cause image gauge image effect image
Participants reported a 4.6% average increase in Anxiety following above average Sleep Rating.
Abstract

Abstract

Anxiety was generally 21.5% lower than average after 4.43 out of 5 of Sleep Rating per 7 days.

Aggregated data from 1 study participants suggests with a HIGH degree of confidence (p=0.001, 95% CI -0.573 to -0.191) that Sleep Rating has a moderately negative predictive relationship (R=-0.382) with Anxiety.

The highest quartile of Anxiety measurements were observed following an average 3.91 out of 5 Sleep Rating.

The lowest quartile of Anxiety measurements were observed following an average 4.39 out of 5 of Sleep Rating.

After an onset delay of 0 seconds, Anxiety is typically 17% lower than average over the 7 days following around 4.39 out of 5 Sleep Rating.

Objective

Objective

The objective of this study is to determine the nature of the relationship (if any) between Sleep Rating and Anxiety. Additionally, we attempt to determine the Sleep Rating values most likely to produce optimal Anxiety values.
Participant Instructions

Participant Instructions

Manual Recording Option

A Create a reminder for Sleep Rating here and record it daily by enabling notifications or using A the reminder inbox here .


Manual Recording Option

A Create a reminder for Anxiety / Nervousness here and record it daily by enabling notifications or using A the reminder inbox here .

Design

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

Data Analysis

Sleep Rating Pre-Processing

Sleep Rating measurement values below 1 out of 5 were assumed erroneous and removed. Sleep Rating measurement values above 5 out of 5 were assumed erroneous and removed. No missing data filling value was defined for Sleep Rating so any gaps in data were just not analyzed instead of assuming zero values for those times.

Anxiety / Nervousness Pre-Processing

Anxiety / Nervousness measurement values below 1 out of 5 were assumed erroneous and removed. Anxiety / Nervousness measurement values above 5 out of 5 were assumed erroneous and removed. No missing data filling value was defined for Anxiety / Nervousness 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 Sleep Rating would produce an observable change in Anxiety.

It was assumed that Sleep Rating could produce an observable change in Anxiety for as much as 7 days after the stimulus event.

Statistical Significance

Statistical Significance

Using a two-tailed t-test with alpha = 0.05, it was determined that the change in Anxiety is statistically significant at 95% confidence interval.

After treatment, a 4.6% increase (-0.439 out of 5) from the mean baseline 2.05 out of 5 was observed. The relative standard deviation at baseline was 20.2%. The observed change was 1.0637 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

Data Sources

Sleep Rating 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.

Anxiety 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

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 moderately negative (R = -0.382) relationship between Sleep Rating and Anxiety.

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. 93 paired data points were used in this analysis. Assuming that the relationship is merely coincidental, as the participant independently modifies their Sleep Rating 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 Sleep Rating and Anxiety.

0 humans feel that any relationship observed between Sleep Rating and Anxiety 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

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 Sleep Rating and Anxiety is coincidental.

Relationship Statistics

Property Value
Cause Variable Name Sleep Rating
Effect Variable Name Anxiety
Sinn Predictive Coefficient 0.036352106242198
Confidence Level HIGH
Confidence Interval 0.19139
Forward Pearson Predictive Coefficient -0.382
Critical T Value 1.66
Average Sleep Rating Over Previous 7 days Before ABOVE Average Anxiety 3.91 out of 5
Average Sleep Rating Over Previous 7 days Before BELOW Average Anxiety 4.39 out of 5
Duration of Action 7 days
Effect Size moderately negative
Number of Paired Measurements 93
Optimal Pearson Product 0.25976230900487
P Value 0.001
Statistical Significance 0.4786
Strength of Relationship 0.19139
Study Type population
Analysis Performed At 2021-08-30
Number of Participants 1

Sleep Rating Info

Property Value
Variable Name Sleep Rating
Aggregation Method MEAN
Analysis Performed At 2020-09-15
Duration of Action 24 hours
Kurtosis 6.0121401259789
Maximum Allowed Value 5 out of 5
Mean 4.1075 out of 5
Median 4 out of 5
Minimum Allowed Value 1 out of 5
Number of Aggregate Predictors 50
Number of Aggregate Outcomes 20
Number of Measurements 95
Number of Measurements (including those generated by tagged, joined, or child variables) 95
Public true
Onset Delay 0 seconds
Standard Deviation 0.71417884727843
Unit 1 to 5 Rating
User Variables 1
UPC 796433821618
Variable Category Symptoms
Variable ID 5977142
Variance 0.51005142589995

Anxiety / Nervousness Info

Property Value
Variable Name Anxiety
Aggregation Method MEAN
Analysis Performed At 2022-10-07
Duration of Action 24 hours
Kurtosis 2.033986759222
Maximum Allowed Value 5 out of 5
Mean 3.0756713266762 out of 5
Median 3.0701780313837 out of 5
Minimum Allowed Value 1 out of 5
Number of Aggregate Predictors 1566
Number of Aggregate Outcomes 260
Number of Measurements 13546
Number of Measurements (including those generated by tagged, joined, or child variables) 13546
Public true
Onset Delay 0 seconds
Standard Deviation 0.31892876527387
Unit 1 to 5 Rating
User Variables 998
UPC 0
Variable Category Emotions
Variable ID 5903391
Variance 0.32180906187003