Measuring students’ understanding in counting rules and its probability via e-learning mode: a Rasch measurement approach

Abstract

Probability is a study of the rules that offers the foundational theory for the development of statistics. This sets out the investigation where students’ understanding of counting rules and its probability were explored using the Rasch measurement approach. A test instrument with 20 items was developed and administered to 74 students taking the STA150 Probability and Statistics course. Data were captured through an interactive e-learning platform that is dmodo.com and analyzed using Winsteps 3.81.0. The results from the Wright map showed that 83.8% of the students have the ability that matched well with the difficulty of the while 16.2% of the students need to be given more attention on the topic. The study was also able to show that the items can be replicated in other samples of similar characteristics.

Keywords: students’ understanding; counting rules; probability Raschmeasurement model; Wright map.