Higher Heart Rate (Pulse) Predicts Very Slightly Lower Calories Burned for Population
Contents
Mike Sinn
PRINCIPAL INVESTIGATOR
Mike Sinn

Variables

A
Heart Rate (Pulse) 1784
A
Calories Burned 878

Categories

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Vital Signs 110
A
Physical Activity 1719

Actions

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Your Data

Tags

High Confidence
Very Weak Effect Size
Negative Relationship
Population Study
cause image gauge image effect image
Participants reported a 2.3% average increase in Calories Burned following above average Heart Rate (Pulse).
Abstract

Abstract

Calories Burned was generally 7% higher than average after an average of 85.3 beats per minute of Heart Rate over the previous 7 days.

Aggregated data from 20 study participants suggests with a HIGH degree of confidence (p=0.201, 95% CI -313.074 to 313.029) that Heart Rate has a very weakly negative predictive relationship (R=-0.0224) with Calories Burned.

The highest quartile of Calories Burned measurements were observed following an average 85.7 beats per minute Heart Rate.

The lowest quartile of Calories Burned measurements were observed following an average 86.4 beats per minute of Heart Rate.

After an onset delay of 0 seconds, Calories Burned is typically 5% lower than average over the 7 days following around 86.4 beats per minute Heart Rate.

Objective

Objective

The objective of this study is to determine the nature of the relationship (if any) between Heart Rate and Calories Burned. Additionally, we attempt to determine the Heart Rate (Pulse) values most likely to produce optimal Calories Burned values.
Participant Instructions

Participant Instructions

Heart Rate (Pulse) Automatic Import of Heart Rate (Pulse) via Withings

A Get Withings here and use it to record your Heart Rate (Pulse). Then, A import your data here .

Heart Rate (Pulse) Automatic Import of Heart Rate (Pulse) via Google Fit

A Get Google Fit here and use it to record your Heart Rate (Pulse). Then, A import your data here .

Manual Recording Option

A Create a reminder for Heart Rate (Pulse) here and record it daily by enabling notifications or using A the reminder inbox here .


Calories Burned Automatic Import of Calories Burned via Fitbit

A Get Fitbit here and use it to record your Calories Burned. Then, A import your data here .

Manual Recording Option

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

Calories Burned Automatic Import of Calories Burned via Google Fit

A Get Google Fit here and use it to record your Calories Burned. Then, A import your data here .

Calories Burned Automatic Import of Calories Burned via Withings

A Get Withings here and use it to record your Calories Burned. Then, A import your data here .

Design

Design

This study is based on data donated by 20 participants. Thus, the study design is equivalent to the aggregation of 20 separate n=1 observational natural experiments.

Data Analysis

Data Analysis

Heart Rate (Pulse) Pre-Processing

Heart Rate (Pulse) measurement values below 20 beats per minute were assumed erroneous and removed. Heart Rate (Pulse) measurement values above 300 beats per minute were assumed erroneous and removed. No missing data filling value was defined for Heart Rate (Pulse) so any gaps in data were just not analyzed instead of assuming zero values for those times.

Calories Burned Pre-Processing

Calories Burned measurement values below 100 kilocalories were assumed erroneous and removed. Calories Burned measurement values above 20000 kilocalories were assumed erroneous and removed. No missing data filling value was defined for Calories Burned 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 Heart Rate (Pulse) would produce an observable change in Calories Burned.

It was assumed that Heart Rate (Pulse) could produce an observable change in Calories Burned 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 Calories Burned is statistically significant at 95% confidence interval.

After treatment, a 2.3% increase (32.7 kilocalories) from the mean baseline 1470 kilocalories was observed. The relative standard deviation at baseline was 42.495%. The observed change was 0.863705 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

Heart Rate (Pulse) data was primarily collected using Withings. Withings creates smart products and apps to take care of yourself and your loved ones in a new and easy way. Discover the Withings Pulse, Wi-Fi Body Scale, and Blood Pressure Monitor.

Calories Burned data was primarily collected using Fitbit. Fitbit makes activity tracking easy and automatic.

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 very weakly negative (R = -0.0224) relationship between Heart Rate (Pulse) and Calories Burned.

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. 872 paired data points were used in this analysis. Assuming that the relationship is merely coincidental, as the participant independently modifies their Heart Rate (Pulse) 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 Heart Rate (Pulse) and Calories Burned.

0 humans feel that any relationship observed between Heart Rate (Pulse) and Calories Burned 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 Heart Rate (Pulse) and Calories Burned is coincidental.

Relationship Statistics

Property Value
Cause Variable Name Heart Rate (Pulse)
Effect Variable Name Calories Burned
Sinn Predictive Coefficient 0.0096842444824451
Confidence Level HIGH
Confidence Interval 313.05189471103
Forward Pearson Predictive Coefficient -0.0224
Critical T Value 1.7284
Average Heart Rate ( Pulse) Over Previous 7 days Before ABOVE Average Calories Burned 85.7 beats per minute
Average Heart Rate ( Pulse) Over Previous 7 days Before BELOW Average Calories Burned 86.4 beats per minute
Duration of Action 7 days
Effect Size very weakly negative
Number of Paired Measurements 872
Optimal Pearson Product 0.24251530174749
P Value 0.20137374254492
Statistical Significance 0.3242
Strength of Relationship 313.05189471103
Study Type population
Analysis Performed At 2021-08-30
Number of Participants 20

Heart Rate (Pulse) Info

Property Value
Variable Name Heart Rate (Pulse)
Aggregation Method MEAN
Analysis Performed At 2020-09-15
Duration of Action 7 days
Kurtosis 3.9578716925837
Maximum Allowed Value 300 beats per minute
Mean 87.826883616319 beats per minute
Median 86.968273025911 beats per minute
Minimum Allowed Value 20 beats per minute
Number of Aggregate Predictors 1612
Number of Aggregate Outcomes 172
Number of Measurements 44806
Number of Measurements (including those generated by tagged, joined, or child variables) 25333
Public true
Onset Delay 0 seconds
Standard Deviation 12.471536279914
Unit Beats per Minute
User Variables 225
UPC 851697006178
Variable Category Vital Signs
Variable ID 1342
Variance 335.93870785439

Calories Burned Info

Property Value
Variable Name Calories Burned
Aggregation Method SUM
Analysis Performed At 2020-09-23
Duration of Action 7 days
Kurtosis 10.719482104079
Maximum Allowed Value 20000 kilocalories
Mean 1693.6119981094 kilocalories
Median 1643.7344918892 kilocalories
Minimum Allowed Value 100 kilocalories
Number of Aggregate Predictors 667
Number of Aggregate Outcomes 211
Number of Measurements 122895
Number of Measurements (including those generated by tagged, joined, or child variables) 21949
Public true
Onset Delay 0 seconds
Standard Deviation 420.78331639612
Unit Kilocalories
User Variables 393
UPC 0
Variable Category Physical Activity
Variable ID 1280
Variance 236738.41913029