Multilevel homogeneity analysis with differential weighting

Computational Statistics and Data Analysis

Volumn 32, Issue 3-4, 2000, Pages 411-442

  Michailidis, George ^a   De Leeuw, Jan ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; SAMPLING;

MULTILEVEL HOMOGENEITY ANALYSIS; NONLINEAR PRINCIPAL COMPONENTS ANALYSIS;

STATISTICAL METHODS;

EID: 0038998786     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(99)00086-9     Document Type: Article

References (36)

1. Anderson C.S. The search for school climate. A review of the research. Rev. Educ. Res. 52:1980;368-420.
2. Arabie, P., Carroll, J.D., DeSarbo, W.S., 1987. Three Way Scaling and Clustering. Sage University Press, Newbury Park.
3. Benzécri, J.P., 1973. Analyse des Données. Dunod, Paris.
4. Bryk, A.S., Raudenbush, S.W., 1992. Hierarchical Linear Models. Applications and Data Analysis Methods. Sage Publications, Newbury Park.
5. Burt C. The factorial analysis of qualitative data. Br. J. Statist. Psychol. 3:1950;166-185.
6. Carnegie Foundation of the Advancement of Teaching, 1988. An Imperiled Generation: Saving Urban Schools. The Carnegie Foundation, Princeton.
7. Carroll J.D., Chang J.J. Analysis of individual differences in multidimensional scaling via an N-way generalization eckart-young decomposition. Psychometrika. 35:1970;283-319.
8. Carlier A., Kroonenberg P.M. Decompositions and biplots in three-way correspondence analysis. Psychometrika. 61:1996;355-373.
9. de Leeuw, J., 1984a. Canonical Analysis of Categorical Data. DSWO Press, Leiden.
10. de Leeuw, J., 1984b. The Gifi-system of nonlinear multivariate analysis. In: Diday et al. (Eds.), Data Analysis and Informatics III. North-Holland, Amsterdam, pp. 415-424.
11. de Leeuw, J., van Rijckevorsel, J., 1980. Homals and princals. Some generalizations of principal components analysis. In: Diday et al. (Eds.), Data Analysis and Informatics II. North-Holland, Amsterdam, pp. 231-242.
12. de Leeuw J., van der Heijden P., Kreft I. Homogeneity analysis of event history data. Methods Oper. Res. 50:1985;299-316.
13. de Leeuw J. Models and techniques. Statist. Neerlandica. 42:1988;91-98.
14. Findings from the Condition of Education, 1997. Public and private schools: how do they differ? (U.S. Department of Education, National Center for Education Statistics, NCES 97-983.).
15. Fisher R.A. The precision of discriminant functions. Ann. Eugen. 10:1940;422-429.
16. Gifi, A., 1990. Nonlinear Multivariate Analysis. Wiley, Chichester.
17. Golub, G.H., van Loan, C.F., 1989. Matrix Computations. Johns Hopkins University Press, Baltimore.
18. Greenacre, M.J., 1984. Theory and Applications of Correspondence Analysis. Academic Press, London.
19. Guttman, L., 1941. The quantification of a class of attributes: a theory and a method of scale construction. In: Horst et al. (Eds.), The Prediction of Personal Adjustment. Social Science Research Council, New York.
20. Harshman, R.A., 1970. Foundations of the PARAFAC procedure: models and conditions for an explanatory multi-modal factor analysis. UCLA Working Papers in Phonetics, 16, pp. 1-84.
21. Hayashi C. On the prediction of phenomena from qualitative data and the quantification of qualitative data from the mathematico-statistical point of view. Ann. Inst. Statist. Math. 5:1952;121-143.
22. Hilden-Minton, J.A., 1995. Multilevel Diagnostics in mixed and hierarchical linear models. Unpublished Doctoral Dissertation, UCLA.
23. Hirschfeld H.O. A connection between correlations and contingency. Proc. Cambridge Philos. Soc. 31:1935;520-524.
24. Kaufman, P., Bradby, D., 1992. Characteristics of at Risk Students in NELS:88. National Center for Education Statistics, Washington, NCES 92-042.
25. Kendall, M.G., 1980. Multivariate Analysis, 2nd Edition. Griffin, London.
26. Longford, N.T., 1993. Random Coefficients Model. Oxford University Press, New York.
27. Michailidis, G., de Leeuw, J., 1996. Constrained Homogeneity Analysis, with applications to hierarchical data. UCLA Statistics Series, # 207.
28. Michailidis, G., de Leeuw, J., 1997. A regression model for multilevel homogeneity analysis. UCLA Statistics Series, # 212.
29. Michailidis G., de Leeuw J. The Gifi system of descriptive multivariate analysis. Statist. Sci. 13:1998;307-336.
30. Molenaar I.W. Formal statistics and informal data analysis, or why laziness should be discouraged. Statist. Neerlandica. 42:1988;83-90.
31. The National Education Goals Panel, 1992. The National Education Goals Report: Building a Nation of Learners. Washington.
32. Nishisato, S., 1980. Analysis of Categorical Data: Dual Scaling and Its Applications. Toronto University Press, Toronto.
33. Oakes J. What educational indicators? The case for assessing the schol context. Educ. Eval. Policy Anal. 11:1989;181-199.
34. Ostrowski, A.M., 1966. Solution of Equations and Systems of Equations. Academic Press, New York.
35. Tenenhaus M., Young F. An analysis and synthesis of multiple correspondence analysis, optimal scaling, dual scaling, homogeneity analysis and other methods for quantifying categorical multivariate data. Psychometrika. 50:1985;90-119.
36. Van der Heijden P., de Leeuw J. Correspondence analysis, with special attention to the analysis of panel data and event history data. Sociol. Methodol. 20:1990;43-87.