Using Three-Parameter Latent Trait Model in the Development Mathematics Achievement Test

Ogbonna; Joseph .U; Orluwene; Goodness. W

doi:https://doi.org/10.14445/22315373/IJMTT-V56P547

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 5 | Year 2018 | Article Id. IJMTT-V56P547 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P547

Using Three-Parameter Latent Trait Model in the Development Mathematics Achievement Test

Ogbonna, Joseph .U, Orluwene, Goodness. W

Citation :

Ogbonna, Joseph .U, Orluwene, Goodness. W, "Using Three-Parameter Latent Trait Model in the Development Mathematics Achievement Test," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 5, pp. 325-359, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P547

Abstract

This study was concerned with the development and validation of mathematics achievement test using the threeparameter latent trait model of the item response theory in the junior secondary schools in Rivers state. The sample comprised 2000 JSS III students in public schools in the urban and rural locations in Rivers state selected through proportional stratified random sampling. The instruments for data collection was the fifty itemed Mathematics Achievement Test (MAT) developed by the researchers. It is a 5-optioned multiple choice objective test. Three research questions guided the study. Students’ responses to the test items were calibrated with an IRT statistical software named x-calibre 4.2.2 developed by Assessment Systems Corporation. The study revealed that fifteen (15) out of the fifty (50) items which was 30% of the mathematics achievement test items fitted the three parameter latent trait model. From the fifteen (15) items, two (2) were classified as good items, nine (9) were classified as fairly good items while four (4) items were classified as poor items. Based on the findings, recommendations were made, one of them being that three-parameter latent model be used to ascertain the credibility of mathematics achievement test items by removing items prone to guessing.

Keywords

IRT, difficulty index, discrimination index and guessing index, mathematic achievement test

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