Evaluating students' study habits using Bayesian Multinomial Logistic Regression

The Bayesian approach is a very important approach for tackling problems in statistics. It involves choosing a distribution that reflects the prior knowledge and  thus takes all knowledge into account in contrast to the frequentist approach. It also assumes that the parameters (the regression coefficients) follow a distribution called the...

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...

Bayesian Estimation of a Monotone Regression Function: A method described by Neelon and Dunson applied to climate data

The goal of this thesis is to implement and experiment with a Bayesian way of estimating a (smooth) monotone regression function by applying it to climate data. The method we use is proposed by Neelon and Dunson. This method uses a piece-wise linear model for the unknown regression function and enforces the monotonicity constraint by the...

Bayesiaanse dichtheidsschattingen

Dit project vergelijkt drie verschillende kernels (Random Walk, Langevin en Barker) die gebruikt kunnen worden in het Metropolis-Hastings algoritme aan de hand van voorbeelden.

Het maken van een rating system voor zeilwedstrijden

Bij schaken wordt een rating system gebruikt om te bepalen hoe goed een schaker is. In deze bachelor thesis is onderzocht of er een rating system gemaakt kan worden voor zeilwedstrijden. Hierbij is gebruik gemaakt van Bayesiaanse statistiek en de theorie achter het rating systeem voor schakers. Het bedachte rating systeem is bedoeld voor drie...

Forensic Statistics: Multivariate trace comparison

In today’s complex, modern world, where more data and knowledge is available then ever before, consensus over approaches in statistics is far away. To understand what this means for forensic statistics, both the frequentist and Bayesian approach are considered in quantifying evidence. Classical frequentist approaches are elaborated according to...