Loglinear Analysis: A New Tool for Educational Researchers
Keywords:
Loglinear analysis, Educational research, Multivariate analysis, Statistical modellingAbstract
Many situations in educational research result in the collection of data that may be conveniently represented by means of a multi-dimensional contingency table. Recent years have seen the emergence of a number of procedures that examine such structures holistically permitting the examination of various types of higher-order interaction. One such approach is that of loglinear analysis. The present article attempts to set out the basic concepts underlying this approach and to then provide a number of examples from a variety of educational research settings that illustrate the procedure.
References
Baker, F. B. Log-linear, logit-linear models: A didactic. Journal of Educational Statistics, 1981, 6(1), 75-102.
Baker, R. J., & Nelder, J. A. The GLIM System, Release 3, generalised linear interactive modelling. Oxford, England: The Numerical Algorithms Group, 1978.
Bishop, Y. M. M., Fienberg, S. E., & Holland, P. W. Discrete multivariate analysis: Theory and practice. Cambridge, Mass.: MIT Press, 1975.
Bock, R. D. Multivariate statistical methods in behavioral research. New York: McGraw-Hill, 1975. (Chapter 8).
Bock, R. D., & Yates, G. MULTIQUAL: Log-linear analysis of nominal or ordinal qualitative data by the method of maximum likelihood. Chicago: National Educational Resources, Inc., 1973.
Burnett, J. D., & Smith, H. A. The B.Ed. Program: 1974-76 A Tabular Description. Research and Information Report, Faculty of Education, Queen's University, 1977.
Colgan, P. W., & Smith, J. T. Multidimensional contingency table analysis. In P. W. Colgan (Ed.), Quantitative ethology. New York: John Wiley, 1978.
Dixon, W. J., & Brown, M. B. BMD/P-79: Biomedical computer programs P-series. Berkeley: University of California Press, 1979.
Everitt, B. S. The analysis of contingency tables. London: Chapman and Hall, 1977.
Fennema, E., & Sherman, J. Sex-related differences in mathematics achievement, spatial visualization and affective factors. American Educational Research Journal, 1977, 14(1), 51-71.
Fienberg, S. E. The Analysis of cross-classified categorical data (2nd ed.). Cambridge, Mass.: MIT Press, 1980.
Glass, G. V., & Stanley, J. C. Statistical methods in education and psychology. Englewood Cliffs, N.J.: Prentice-Hall, 1970.
Goodman, L. A. Analyzing qualitative/categorical data. Cambridge, Mass.: Abt Books, 1978.
Haberman, S. Analysis of qualitative data. New York: John Wiley, 1978.
Killion, R. A., & Zahn, D. A. A bibliography of contingency table literature: 1900 to 1974. International Statistical Review, 1976, 44(1), 71-112.
Plackett, R. L. The analysis of categorical data. London: Griffin, 1974.
Reynolds, H. T. Analysis of nominal data. Beverly Hills: SAGE Pub., 1977.
Smith, J. E. K. Analysis of qualitative data. Annual Review of Psychology, 1976, 27, 487-499.
Statistics Canada Catalogue 81-561. Socio-Cultural Characteristics of Elementary and Secondary Students, 1971.
Taylor, K. W., & Chappell, N. L. Multivariate analysis of qualitative data. The Canadian Review of Sociology and Anthropology, 1980, 17(2), 93-108.
Upton, G. J. G. The analysis of cross-tabulated data. Chichester: John Wiley, 1978.
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
The Canadian Journal of Education follows Creative Commons Licencing CC BY-NC-ND.
