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INTERNATIONAL JOURNAL OF MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES Probabilistic Approach in Examining Quality of Survey Response Data in Statistical Education Research

By Zamalia Mahmud, Nor Azila, C. Musa, Nor Azura, M. Ghani and Rosli A. Rahim

Abstract

Abstract — Obtaining and maintaining quality data in a survey investigation has becoming a continuing concern among the statistical education researchers. Rasch probabilistic measurement model had been used to identify inappropriate survey items in many other instruments but it has not been extensively used in many survey investigations involving statistics education research. This study had employed Rasch dichotomous and rating models to examine the quality of survey response data, namely on the students ’ attitude towards and their competency in learning elementary statistics. Students ’ attitude was measured by the 24 items of 5-point Likert scale while statistical competency was measured by their ability to answer correctly or incorrectly based on three statistical elementary topics. This study used secondary data which was formerly gathered from 139 secondary school students over several occasions, at two different points of time (prior to statistics class teaching and end of class teaching). The outcome was investigated based on both item and person misfit response strings and PIDM map. Rasch analysis had shown that quality of items and persons can be enhanced with proper validation techniques namely, through identification of fit statistics on the items and misfit response strings. Generally, Rasch probabilistic model is able to diagnose the unusual response patterns which otherwise could not be detected using the general deterministic model

Topics: Rasch probabilistic models, Logit, Differential Item Functioning, Attitude towards statistics, Statistical competency
Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.352.8033
Provided by: CiteSeerX
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