A new approach to teaching statistics has been proposed based on phenomenology, a philosophy that seeks to understand human experience. Researchers have applied this method to teach fundamental statistics concepts such as random experiments, sample spaces, random variables, and probability distributions.
The study begins by defining the terms used in statistical analysis. An experiment is defined as a replicable procedure that produces a visible result. Random experiments are those in which the result is not determined by the experimental conditions, but by the structure of the marks on a die, for example.
The study goes on to explore the population of observations of the results of a random experiment and the assumption of independence of the realizations of a random experiment. The assumption of independence is based on the idea that no other type of causality is involved in the experiment and that the repetition of the experiment produces independent results.
The researchers also discuss Laplace’s Rule, which is a method of assigning probabilities to the results of a random experiment. The sample space of a random experiment is defined as the set of all possible simple results. The study then introduces the concept of a random variable, which represents a random number present through an experiment.
The researchers argue that the phenomenological approach is more intuitive and easier to understand than traditional statistical methods. Using everyday language and examples, they hope to make statistics more accessible to students. They also suggest that using subscripts and other mathematical symbols may hinder students’ understanding of statistics.
The study has implications for the teaching and learning of statistics in schools and universities. Educators can use the phenomenological approach to make statistics more engaging and relevant to students’ lives. The researchers suggest that further research is needed to determine the effectiveness of this approach, but they believe that it has the potential to transform the way statistics is taught and learned.
Summary of: The Idea of a Probability Model for a Population, by Héctor Hevia
Link to the article: https://journals.modernsciences.org/index.php/msj/article/view/21
References
- Hevia, H. (2023). The Idea of a Probability Model for a Population. Modern Sciences Journal, 12(1). https://doi.org/10.57184/msj.v12i1.21
