Generalizability theory analysis of error components of Osun State secondary school students' scores in the 2016 National Examinations Council Mathematics examinations

dc.contributor.authorKEHINDE CALEB OYETUNDE
dc.date.accessioned2025-09-26T14:03:09Z
dc.date.available2025-09-26T14:03:09Z
dc.date.issued2022
dc.description114p
dc.description.abstractABSTRACT This study determined the relative error variance in Osun State student’s observed scores in 2016 NECO Mathematics examination and estimated the absolute error variance in the students’ observed scores. It also determined the dependability of NECO 2016 Mathematics measure. This was with a view to improving the psychometric quality of NECO Mathematics examinations. The study adopted an ex-post factor research design. The population for the study comprised 29,162 final year Senior Secondary School Students in Osun State. The sample consisted of Senior Secondary School Three (SSS III) students that sat for the 2016 Mathematics Senior School Certificate Examination (SSCE); they were selected from both public and private Senior Secondary Schools in the state. A total of 10 public and 10 private schools were selected from each of the three Senatorial Districts in Osun State to make a total of 60 schools using non proportional stratified technique. An intact class of SSS III students in each school were selected as sample for the study. Record of performance of students in the Mathematics examination obtained from the National Examinations Council was used as data. Data collected were analyzed using descriptive and inferential statistics. The results showed that estimated variance component of the source of variability and the interactions between them for the single facet design [pxi design]. The variance component for student’s error accounts is 14.1% of the total variance, suggesting that averaging over all the items, the students in the sample differ in the construct being measured and reflects systematic individual differences in the construct being measured. Furthermore, the result showed that the variance component for items accounted for 12.1% of the total variance, suggesting variations in the difficulty of the items, averaging over all the students. The residual error accounts for 73.1% of the total variance. This suggests that there are important sources of variance not accounted for by differences between students, differences in item difficultly, or both. Furthermore, to obtain the relative error, the G study analysis was conducted. The result showed that the estimated relative error variance is 0.00305. The result showed that the error introduced into the measurement precision of the students’ ability in the NECO test due to the individual student interaction with the items on the test was relatively low. Also, the value of absolute error variance in the student's observed scores showed that the students contributed 14.2% of the sources of variance that negatively affected the precise measurement of achievement in the test, 85.8% of the sources that negatively affected the measurement precision of achievement by items on the test other than the test's items and the students. The result showed that the bulk of what limited the precision of the measurement of students’ proficiency or ability in the items on the test were not accommodated into the estimation of the examinees ability. The results show that the dependability coefficient of each of the items on the 2016 NECO Mathematics test stood at 0.91 and the overall dependability for the entire Mathematics test was 0.91. The study concluded that the scores obtained from each of the items of the 2016 NECO Mathematics test as well as the entire scale was reliable and dependable. Name of Supervisor: Prof. E.R.I. Afolabi Number of Pages: 101
dc.identifier.citationOyetunde, K.C.(2022).Generalizability theory analysis of error components of Osun State secondary school students' scores in the 2016 National Examinations Council Mathematics examinations. Department of Educational Foundations and Counselling, Faculty of Education, Obafemi Awolowo University
dc.identifier.otherror.org/04snhqa82
dc.identifier.urihttps://ir.oauife.edu.ng/handle/123456789/7027
dc.language.isoen
dc.publisherDepartment of Educational Foundations and Counselling, Faculty of Education, Obafemi Awolowo University
dc.titleGeneralizability theory analysis of error components of Osun State secondary school students' scores in the 2016 National Examinations Council Mathematics examinations
dc.typeThesis
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