Authors :
Adedoyin O. Taiwo; Abiodun A. Taiwo
Volume/Issue :
Volume 8 - 2023, Issue 1 - January
Google Scholar :
https://bit.ly/3IIfn9N
Scribd :
https://bit.ly/3WZ3ZNS
DOI :
https://doi.org/10.5281/zenodo.7606630
Abstract :
Heart Rate (bpm) is widely regarded as a very
significant element in every human being. Numerous
studies have been so far undertaken in this field, but a
very few have really tried to touch the distribution of
students' Heart Rate (bpm). The primary aim of this study
is to investigate the heart rate distribution of faculty of
science students at the University of Ibadan.
A total number of 347 students' information was used
in the analysis. The data was obtained in the faculty of
science, a descriptive analysis of the data collected was used
to investigate the distribution of the dataset, mean, standard
deviation, minimum value and maximum value. The
Kolmogorov - Smirnov’s test was used to validate the
distribution of the likelihood. The Chi Square was used to
test for the association between Gender and the distribution
of Heart Rate.
The descriptive analysis of the collected data revealed
that the average heart rate and corresponding standard
deviation of the observed data were 71.46 and 4.977, with
the minimum value being 58 bpm and the maximum value
being 87 bpm. The Kolmogorov-Smirnov test revealed that
the data fits well with the normal distribution. The Chi
Square test of independence revealed that there is no
relationship between Gender and Heart Rate Distribution
(bpm).
For the Conjugate prior (which is informative), where
the prior, the likelihood and the posterior was found to
follow the normal distribution, the posterior mean (Bayes
estimate) of the distribution of heart rate (bpm) is 71.55
while the posterior standard deviation is 4.65. The posterior
credible interval for average heart rate (bpm) is [62.486,
80.71]. For the positive uniform prior (which is noninformative), the posterior follows a normal distribution,
where the posterior mean (Bayes estimate) of the
distribution of heart rate (bpm) was 71.46 while the
posterior standard deviation was 4.977.
The posterior means for both the Uniform and Normal
priors are almost equal along with their credible intervals
being close to the point estimate. But, considering the
standard errors, the Normal prior performs slightly better
than the Uniform prior. Hence, the normal likelihood is
recommended for analyzing Heart Rate (bpm) in the
Faculty of Science.
Keywords :
Heart Rate (BPM), Uniform Prior, Normal Prior, Credible Interval, Normal Distribution.
Heart Rate (bpm) is widely regarded as a very
significant element in every human being. Numerous
studies have been so far undertaken in this field, but a
very few have really tried to touch the distribution of
students' Heart Rate (bpm). The primary aim of this study
is to investigate the heart rate distribution of faculty of
science students at the University of Ibadan.
A total number of 347 students' information was used
in the analysis. The data was obtained in the faculty of
science, a descriptive analysis of the data collected was used
to investigate the distribution of the dataset, mean, standard
deviation, minimum value and maximum value. The
Kolmogorov - Smirnov’s test was used to validate the
distribution of the likelihood. The Chi Square was used to
test for the association between Gender and the distribution
of Heart Rate.
The descriptive analysis of the collected data revealed
that the average heart rate and corresponding standard
deviation of the observed data were 71.46 and 4.977, with
the minimum value being 58 bpm and the maximum value
being 87 bpm. The Kolmogorov-Smirnov test revealed that
the data fits well with the normal distribution. The Chi
Square test of independence revealed that there is no
relationship between Gender and Heart Rate Distribution
(bpm).
For the Conjugate prior (which is informative), where
the prior, the likelihood and the posterior was found to
follow the normal distribution, the posterior mean (Bayes
estimate) of the distribution of heart rate (bpm) is 71.55
while the posterior standard deviation is 4.65. The posterior
credible interval for average heart rate (bpm) is [62.486,
80.71]. For the positive uniform prior (which is noninformative), the posterior follows a normal distribution,
where the posterior mean (Bayes estimate) of the
distribution of heart rate (bpm) was 71.46 while the
posterior standard deviation was 4.977.
The posterior means for both the Uniform and Normal
priors are almost equal along with their credible intervals
being close to the point estimate. But, considering the
standard errors, the Normal prior performs slightly better
than the Uniform prior. Hence, the normal likelihood is
recommended for analyzing Heart Rate (bpm) in the
Faculty of Science.
Keywords :
Heart Rate (BPM), Uniform Prior, Normal Prior, Credible Interval, Normal Distribution.