Regression models and effect size measures for single case designs

Neuropsychological Rehabilitation

Volumn 24, Issue 3-4, 2014, Pages 554-571

  Swaminathan, Hariharan ^a   Jane Rogers, H ^a   Horner, Robert H ^b   Sugai, George ^a   Smolkowski, Keith ^c  

^a UNIVERSITY OF CONNECTICUT   (United States)

^b UNIVERSITY OF OREGON   (United States)

^c OREGON RESEARCH INSTITUTE   (United States)

Author keywords

Autocorrelation; Effect size; Generalised least squares estimators; Regression models; Single case designs

Indexed keywords

HUMAN; METHODOLOGY; REGRESSION ANALYSIS; STATISTICS AND NUMERICAL DATA;

HUMANS; REGRESSION ANALYSIS; RESEARCH DESIGN;

EID: 84903209658     PISSN: 09602011     EISSN: 14640694     Source Type: Journal    
DOI: 10.1080/09602011.2014.887586     Document Type: Article

References (41)

1. Allison, D., & Gorman, B. (1993). Calculating effect sizes for meta-analysis: The case of the single case. Behavior Research and Therapy, 31, 621-641.
2. Beach, C. M., & MacKinnon, J. G. (1978). A maximum likelihood procedure for regression with autocorrelated errors. Econometrica, 46, 51-58.
3. Box, G., & Jenkins, G. (1970). Time series analysis: Forecasting and control. San Francisco, CA: Holden-Day.
4. Cochran, D., & Orcutt, G. H. (1949). Application of least squares regression to relationships containing autocorrelated error terms. Journal of the American Statistical Association, 44, 32-61.
5. Glass, G. V, Willson, V. L., & Gottman, L. M. (1975). Design and analysis of time-series experiments. Boulder, CO: Colorado Associated University Press.
6. Goldberger, A. S. (1962). Best linear unbiased prediction in the generalized linear regression model. Journal of the American Statistical Association, 57, 369-375.
7. Goldberger, A. S. (1991). A course in econometrics. Cambridge: Harvard University Press.
8. Gorsuch, R. L. (1983). Three methods for analyzing limited time series (N of 1) data. Behavioral Assessment, 5, 141-154.
9. Hedges, L. V, Pustejovsky, J. E., & Shadish, W. R. (2012). A standardized mean difference effect size for single case designs. Research Synthesis Methods, 3, 224-239. doi:10.1002/jrsm.1052.
10. Horner, R., Swaminathan, H., Sugai, G., & Smolkowski, K. (2012). Expanding analysis and use of single-case research. Education and Treatment of Children, 35, 269-290.
11. Huitema, B., & McKean, J. (2000). Design specification issues in time-series intervention models. Educational and Psychological Measurement, 60(1), 38-58.
12. Kang, W., Shin, D. W., & Lee, Y. (2003). Biases of the restricted maximum likelihood estimators for ARMA processes with polynomial time trend. Journal of Statistical Planning and Inference, 116, 163-176.
13. Kazdin, A. E., (1982). Single-case research designs: Methods for clinical and applied settings. New York: Oxford University Press.
14. Kennedy, C. H. (2005). Single case designs for educational research. Boston, MA: Allyn and Bacon.
15. Kirk, R. E. (1996). Practical significance: A concept whose time has come. Educational & Psychological Measurement, 56, 746-759.
16. Kratochwill, T. (Ed). (1978). Single subject research. New York: Academic Press.
17. Kratochwill, T., & Levin, J. R. (1992). Single-case research design and analysis: New directions for psychology and education. Hillsdale, NJ: Lawrence Erlbaum.
18. Kratochwill, T., & Stoiber, K. (2000). Empirically supported interventions and school psychology: Conceptual and practical issues: Part II. School Psychology Quarterly, 15, 233-253.
19. Maddala, G. S. (1977). Econometrics. New York: McGraw Hill.
20. Maggin, D., Swaminathan, H., Rogers, H. J., O'Keefe, B., Sugai, G., & Horner, R. (2011). A generalized least squares regression approach for computing effect sizes in single-case research: Application examples. Journal of School Psychology, 49, 301-321.
21. Manolov, R., & Solanas, A. (2013). A comparison of mean phase difference and generalized least squares for analyzing single-case data. Journal of School Psychology, 51, 201-215.
22. McKnight, S., McKean, J. W., & Huitema, B. E. (2000). A double bootstrap method to analyze an intervention time series model with autoregressive error terms. Psychological Methods, 5, 171-178.
23. McReynolds, L., & Kearns, K. (1983). Single-subject experimental designs in communicative disorders. Baltimore, MD: University Park Press.
24. Odom, S. L., Brantlinger, E., Gersten, R., Horner, R. H., Thompson, B., & Harris, K. (2005). Research in special education: Scientific methods and evidence-based practices. Exceptional Children, 71(2), 137-148.
25. Parker, R., & Hagan-Burke, S., (2007). Useful effect size interpretations for single case research. Behavior Therapy, 38, 95-105.
26. Parker, R., Hagan-Burke, S., & Vannest, K. (2007). Percent of all non-overlapping data (PAND): An alternative to PND. Journal of Special Education, 40(4), 194-204.
27. Richard, S. B., Taylor, R., Ramasamy, R., & Richards, R. Y. (1999). Single subject research: Applications in educational and clinical settings. Belmont, CA: Wadsworth.
28. Rogers, H. J., & Swaminathan, H. (2007). A computer program for the statistical analysis of single subject designs. Storrs, CT: University of Connecticut, Measurement, Evaluation, and Assessment Program.
29. Rogosa, D. (1980). Comparing nonparallel regression lines. Psychological Bulletin, 88, 307-321.
30. Shadish, W. R., Cook, T. D., & Campbell, D. T. (2002). Experimental and quasi-experimental designs for generalized causal inference. Boston, MA: Houghton-Mifflin.
31. Solanas, A., Manolov, R., & Onghena, P. (2010). Estimating slope and level change in N = 1 designs. Behavior Modification, 34, 195-218.
32. Solanas, A., Manolov, R., & Sierra, V. (2010). Lag-one autocorrelation in short series: Estimation and hypothesis testing. Psicologica, 31, 357-381.
33. Swaminathan, H., & Algina, J. (1977). Analysis of quasi-experimental time-series designs. Journal of Multivariate Behavioral Research, 12, 111-131.
34. Swaminathan, H., Horner, R. H., Sugai, G., & Smolkowski, K. (2008). Application of generalized least squares regression to measure effect size in single-case research: A technical report. Washington, DC: Institute for Education Sciences.
35. Swaminathan, H., & Rogers, H. J. (2013). Analysis of single subject designs and development of effect size measures in single subject designs. Paper presented at the Spring 2013 SREE Conference, Washington, DC.
36. Tawney, J. W., & Gast, D. L. (1984). Single subject research in special education. Columbus, OH: Merrill.
37. Todman, J., & Dugard, P. (2001). Single-case and small-n experimental designs: A practical guide to randomization tests. Mahwah, NJ: Lawrence Erlbaum Associates.
38. Van den Noortagate, W., & Onghena, P. (2003). Combining single-case experimental data using hierarchical linear models. School Psychology Quarterly, 18(3), 325-346.
39. White, D. M., Rusch, F. R., Kazdin, A. E., & Hartmann, D. P. (1989). Applications of metaanalysis in individual subject research. Behavioral Assessment, 11, 281-296.
40. Whitehurst, G. J. (2003). Evidence-based education. PowerPoint presentation. Retrieved from http://www.ed.gov/offices/OERI/presentations/ evidencebase.ppt.
41. Wong, V. C., Wing, C., Steiner, P. M., Wong, M., & Cook, T. D. (2012). Research designs for program evaluation. In J. A. Schinka & W. F. Velicer (Eds.), Handbook of psychology, Volume 2: Research methods in psychology (2nd edn., pp. 316-341). Hoboken, NJ: John Wiley & Sons, Inc.