Bentler, P.M. and D.G. Bonett, 1980. Significance tests and goodness of fit in the analysis of covariance structures. Psychological Bulletin, 88(3): 588–606.
Bollen, K.A., 1989. Structural equations with latent variables. New York: John Wiley & Sons, Inc.
Browne, M.W. and R. Cudeck, 1993. Alternative ways of assessing model fit. In K. A. Bollen & J. S. Long (Eds). Testing structural equation models. Newbury Park, CA: Sage. pp: 136-162.
Chong, E.E., A.N. Aimran and A. Sabri, 2014. A comparison between individual confirmatory factor analysis and pooled confirmatory factor analysis: An analysis of library service quality, a case study at a public university library in Terengganu. International Journal of Engineering, Science and Innovative Technology, 3(1): 110-116.
Hair, J.F., W.C. Black, B.J. Babin, R.E. Anderson and R.L. Tatham, 2006. Multivariate data analysis. 6th Edn., Upper Saddle River, New Jersey: Prentice Hall.
Joreskog, K.G. and D. Sorbom, 1984. Lisrel-VI user's guide. 3rd Edn., Mooresville, IN: Scientific Software.
Lewis-Beck, M.S., A.E. Bryman and T.F. Liao, 2004. The Sage encyclopedia of social science research method. Thousand Oaks, CA: International Educational and Professional Publisher. Sage Publication, 1.
Wheaton, B., B. Muthén, D.F. Alwin and G.F. Summers, 1977. Assessing reliability and stability in panel models. In D. R. Heise (Ed). Sociology methodology 1977. San Francisco: Jossey-Bass. pp: 84-136.
Zainudin, A., 2012. Research methodology and data analysis. 5th Edn., Shah Alam: University Technology MARA Publication Centre UiTM Press.
Ahmad Nazim Aimran , Sabri Ahmad , Asyraf Afthanorhan (2016). Confirming the Mediation Effect of A Structural Model By Using Bootstrap Approach: A Case Study of Malaysian 8th Grade Students’ Mathematics Achievement. International Journal of Business, Economics and Management, 3(4): 44-51. DOI: 10.18488/journal.62/2016.3.4/220.127.116.11
The performance of Malaysian students in Trends In Mathematics and Science Study (TIMSS) was not up to par. The rank of Malaysian students in the assessment is the bottom one third, not the top. However, there are still a very low number of studies have been conducted with the TIMSS finding. This study intends to a) confirm items reliability included in the study( for Malaysian students), b) confirm the significance of latent exogenous constructs toward latent endogenous construct and c) confirm the type of mediation exist in the structural model. Secondary data obtained from TIMSS 2011 database has been used in this study. Items have been grouped into latent exogenous constructs; school, teacher, motivation, self-confidence; latent mediator construct; attitude and latent endogenous construct; achievement. From the analysis, it is found that only a few items included are reliable to represent respective constructs. Furthermore, it is explored that all latent exogenous constructs have significant direct effects toward latent endogenous construct. And lastly, it has also been confirmed that, all latent exogenous constructs except school latent construct have indirect effects toward endogenous latent construct; students’ achievement through the mediator latent construct; attitude.
This study is one of very few studies which have investigated the usefulness of bootstrap approach in confirming the type of mediation exist in a model. Commonly, bootstrap approach is only used when the data is small and/or the multivariate normal distribution is not fulfilled.