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Technical Brief on the Statistical Model

1.  J. Douglas Williams, Monitoring School Performance: A Guide for Educators. Philadelphia: Falmer Press, 1992; Center for Educational Research and Innovation, Measuring the Quality of Schools. Paris, France: Organization for Economic Co-operation and Development, 1995; Center for Educational Research and Innovation, Measuring What Students Learn. Paris, France: Organization for Economic Co-operation and Development, 1995; Sandra Black, “Measuring the value of better schools,” Economic Policy Review, 4(1): 87-94, 1998.

2.  Cf. Daniel Koretz, “Indicators of educational achievement,” In Indicators of Children’s Well-Being, Eds. Robert M. Hauser, Brett V. Brown, William R. Prosser. New York: Russell Sage Foundation, 1997, pp. 208-234; Stephen P. Klein et al., “Gender and racial/ethnic differences on performance assessments in science,” Educational Evaluation and Policy Analysis, 19(2): 83-98, 1997; Bonnie L. Halpern-Felsher et al., “Neighborhood and family factors predicting educational risk and attainment in African American and white children and adolescents,” in Neighborhood Poverty: Context and Consequences for Children, Eds. Jeanne Brooks-Gunn, Greg J. Duncan, J. Lawrence Aber. New York: Russell Sage Foundation, 1997, Volume 1, pp. 146-173; Jeanne-Brooks Gunn, Greg J. Duncan, “The effects of poverty on children,” Children and Poverty, 7(2): 55-71, 1997.

3.  David Kaplan, Pamela R. Elliott, “A model-based approach to validating education indicators using multilevel structural equation modeling,” Journal of Educational and Behavioral Statistics, 22(3): 323-347, 1997; Garrett K. Mandeville, “The South Carolina experience with incentives,” In Midwest Approaches to School Reform, Eds. Thomas A. Downes, William A. Testa. Chicago: Federal Reserve Bank of Chicago, 1994, pp. 69-91; Robert D. Felner et al., “The impact of school reform for the middle years: Longitudinal study of a network engaged in Turning Points-based comprehensive school transformation,” Phi Delta Kappan, 78(7): 528-532, 541-550, 1997.

4.  Details on the statistical terminology used in the Rhode Island Model are presented in Appendix A.

5.  For further information consult George A. Marcoulides, Scott L. Hershberger, Multivariate Statistical Methods: A First Course. Mahwah, NJ: Lawrence Erlbaum Associates, 1997; J. Scott Long, Regression Models for Categorical and Limited Dependent Variables, Thousand Oaks, CA: SAGE Publications, 1997; and one of the classics in the field, Jacob Cohen, Patricia Cohen, Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences. Hillsdale, NJ: Lawrence Erlbaum Associates, 2nd ed., 1983. A good general discussion of modeling is David W. Britt, A Conceptual Introduction to Modeling: Qualitative and Quantitative Perspectives. Mahwah, NJ: Lawrence Erlbaum Associates, 1997.

6.  Confounding occurs when more than one variable affects the response variable and the effects of the variables cannot be distinguished from each other.

7.  Reproduced from Statistics: The Easy Way, Douglas Downing, Jeffrey Clark, Barron’s Educational Series Inc., Hauppauge, NY, 1997, p.256.

8. Reproduced from Statistics: The Easy Way, Douglas Downing, Jeffrey Clark, Barron’s Educational Series Inc., Hauppauge, NY, 1997, p.259.

9.  Example obtained from http://www.bath.ac.uk/~pssiw/stats/week4ohp/sld012.htm

 

For further information call the Rhode Island Department of Education  
at 401-222-4600 x2231.
Information Works!  is produced in collaboration with the National Center on Public Education & Social Policy,
Robert D. Felner, Ph.D., Director.