An Application of the Two-Factor Mixed Model Design in Educational Research
Автор: O.A Nuga
Журнал: International Journal of Mathematical Sciences and Computing @ijmsc
Статья в выпуске: 4 vol.5, 2019 года.
Бесплатный доступ
As with any ANOVA, a repeated measure ANOVA tests the equality of means. However, a repeated measure ANOVA is used when all members of a random sample are measured under a number of different conditions. As the sample is exposed to each condition in turn, the measurement of the dependent variable is repeated. Using a standard ANOVA in this case is not appropriate because it fails to model the correlation between the repeated measures: the data violate the ANOVA assumption of independence. Some ANOVA designs combine repeated measures factors and independent group factors. These types of designs are called mixed-model ANOVA and they have a split plot structure since they involve a mixture of one between-groups factor and one within-subjects factor. The work present an application of the mixed model factorial ANOVA, using scores obtained by 120 secondary school students in mathematics. The between group factor is the different categories of students (science, commercial humanities) with three levels while the within group factor is the three years spent in senior secondary School.
Sphericity, Factorial ANOVA, Split-plot Structure, Senior Secondary Students, Mathematics
Короткий адрес: https://sciup.org/15017128
IDR: 15017128 | DOI: 10.5815/ijmsc.2019.04.03
Список литературы An Application of the Two-Factor Mixed Model Design in Educational Research
- Tabachnick, B. G., & Fidell, L.S. Using Multivariate Statistics (6th ed.). Boston, MA Pearson. 2013.
- Ayinla, J. O. Effects of Teachers Instructional Strategy Pattern on Senior School Students’ Performance in Mathematics Word Problem in Ondo, Nigeria 2011. Unpublished M. Ed. Thesis, University of Ilorin, Ilorin, Nigeria, 2011.
- Fabiyi, T.R. Geometry Concepts in Mathematics Perceived Difficult to Learn by Senior Secondary School Students in Ekiti State, Nigeria. IOSR Journal of Research & Method in Education. 2017; 7(1), 83-90.
- Adegun, I. K. and Adegun, B. O. Students and Teachers’ Views of Difficult Areas in Mathematics Syllabus: Basic Requirement for Science and Engineering Education. Journal of Education and Practice. 2013; 4(12), 235-243.
- Betiku, O. F. Causes of Mass Failure in Mathematics Examinations among Students. A commissioned Paper Presented at Government Secondary School, Karu, Abuja, 2000.
- National Mathematical Centre, NMC, Abuja, Mathematics improvement programme. Retrieved on 26th July, 2013 from www.nmcabuja.org/mathematics improvement programmes.html, 2009.
- Uduosoro, U. J. Perceived and Actual Learning Difficulties of Students in Secondary School Mathematics. International Multidisciplinary Journal, Ethiopia, 5 (5), 2011, 357-366.
- Gbodi, B. E. and Olaleye, A. M. Effects of Videotaped Instruction on Learning of Integrated Science. Journal of Research in Curriculum and Teaching. 2006; 1(1), 10-19.
- Baharvand, M. A comparison of the Effectiveness of Computer-assisted Instruction versus Traditional approach to Teaching Geometry. Unpublished master’s thesis, California State University, USA, 2001.
- Mills Jamie D. Teaching the Mixed Model Design: A flow Chart to Facilitate Understanding. Education. 2005; 125:3.
- Kutner, M.H., Nachtsheim, C.J., Neter, J. and Li, W. Applied Linear Statistical Models. 5th Edition, McGraw-Hill, Irwin, New York. 2005; 1141-1142.
- Keppel G. Design and Analysis: A researchers Handbook (3rd Edition)” Upper Saddle River, N.J. Prentice Hall, 1991; 48-50.
- Kesselman, H.T, Algina J., &Kowalchuk, R.K. A comparison of Data Analysis Strategies for Testing Omnibus Effects in Higher-Order Repeated Measure Design. Multivariate Behavioral Research. 2002; 37(3) 331-357.
- Maxwell, S.E. and Delaney, H.D. Designing Experiment and Analyzing Data: A Model Comparison Perspective. Wardsworth, Belmont, California, 1990; 60-62.
- Greenhouse, S.W and Geisser S. On the Methods in the analysis of Profile Data. Psycometrika. 1959; 24: 95-112.
- Huynh, H. and Feldt L.S. Conditions under which the Mean Square Ratio in Repeated Measure Designs have Exact F-distributions. Journal of America Statistical Association. 1970; 85: 152-1589.
- Lomax, R.G. An Introduction to Statistical Concepts for Education and Behavioral Sciences. Mahwah, NJ, Lawrence Erlbaum Associates, 2002; 103-105.
