A comparison of the frequentist and Bayesian approach to multinomial logistic regression in statistics: an application to study habits data from PRIME

Frequentist statistics and Bayesian statistics are the two main approaches to statistical inference. The frequentist approach is commonly integrated into academic curricula, while the Bayesian approach is less frequently employed. However a comparison of the approaches, further investigating their shortcomings and advantages, might give a better...

Evaluating the effect of emotions on academic achievement in mathematics: A quantile regression and Bayesian quantile regression approach

Quantile regression is a useful method to analyse data such that the estimates are more robust to outliers and the conditional distributions are more reliable for asymmetric distributions with respect to the commonly used ordinary least squares regression. Besides this, the quantile regression analysis might also include extra information on the...

Employing latent profile analysis to identify student motivational profiles

Latent profile analysis is a statistical modeling approach used to identify hidden subpopulations (i.e., latent profiles) within a population. These latent profiles are identified based on values of observed continuous variables, also known as profile indicators. While LPA is getting more popular in education sciences and psychology to group...

Bayesian Structural Equation Modeling: Explained and Applied to Educational Science

Structural equation modeling (SEM) is frequently used in social sciences to analyze relations among observed and latent variables and test theoretical propositions regarding relations among these latent variables. Frequentist SEM relies on Maximum Likelihood Estimation, and although this method works well for many simple situations, its...

Estimating links between latent variables using Structural Equation Modeling (SEM) in R

Structural equation modeling is a statistical analysis technique used to analyse structural relationships between observed variables and unobserved latent variables, and can be used to estimate links between latent variables. The technique is most commonly used in the field of psychology, and is not well known in the field of mathematics....

Measuring performance and improvement of amateur runners

The main idea behind the project was to construct some sort of tool that could help runners, with a TomTom sports watch, in their training, by analysing the data that TomTom has available. Although, still far from reaching the desired goal, this project resulted in many useful insights. In order to construct such a tool training performance and...

Het detecteren van veranderingen in de prestatie van een wielrenner.

Het betrekken van de fysiologie bij de wiskundige modellering van prestatiedata van een wielrenner kan een zeer waardevolle stap zijn om veranderingen te detecteren in de prestatie van de wielrenner. De fysiologie beschrijft modellen omtrent verschillende energiesystemen in het menselijk lichaam, die in verschillende stadia van inspanning...

Samenhang tussen prostaatkankerindicatoren

Jaarlijks worden meer dan 10.000 mannen in Nederland gediagnosticeerd met prostaatkanker en overlijden ruim 2500 mannen aan deze ziekte. Vanwege de omvang van deze (mogelijk) dodelijke ziekte wordt er mede door de European Randomized Study of Screening for Prostate Cancer (ERSPC) al jaren onderzoek gedaan naar de ziekte. De beschikbare dataset...

Periodieke controle op prostaatkanker: Doen of niet doen?

Door het ErasmusMC in Rotterdam is een prostaatkanker-dataset beschikbaar gesteld. De onderzoeksvraag bij deze dataset is "Is het relevant om te controleren op prostaatkanker bij mannen tussen de 54 jaar en 75 jaar". Om deze vraag te beantwoorden is gebruik gemaakt van verschillende analyses. Bovendien zijn twee datasets gesimuleerd....