Hierarchical Linear Modeling Meta-Analysis of Single-Subject Design Research

Journal of Special Education

Volumn 48, Issue 1, 2014, Pages 3-16

  Gage, Nicholas A ^a   Lewis, Timothy J ^b  

^a UNIVERSITY OF CONNECTICUT   (United States)

^b UNIVERSITY OF MISSOURI   (United States)

Author keywords

HLM meta analysis; meta analysis; single subject research

Indexed keywords

EID: 84898881436     PISSN: 00224669     EISSN: 15384764     Source Type: Journal    
DOI: 10.1177/0022466912443894     Document Type: Article

References (64)

1. Allison D. B.,Gorman B. S.Calculating effect sizes for meta-analysis: The case of the single case.Behavior, Research, and Therapy. 1993;31:621-631.
2. Baer D. M.Perhaps it would be better not to know everything.Journal of Applied Behavior Analysis. 1977;10:167-172.
3. Borenstein M.,Hedges L. V.,Higgins J. P. T.,Rothstein H. R.Introduction to meta-analysis. West Sussex, UK: Wiley; 2009:.
4. Brossart D. F.,Parker R. I.,Olson E. A.,Mahadevan L.The relationship between visual analysis and five statistical analyses in a simple AB single-case research design.Behavior Modification. 2006;30:531-563.
5. Busk P. L.,Serin S. R.Single-case research design and analysis: New directions for psychology and education. Kratochwill T. R.Levin J. R., ed. Hillsdale, NJ: Lawrence Erlbaum; 1992:187-212.
6. Campbell J. M.Statistical comparison of four effect sizes for single-subject designs.Behavior Modification. 2004;28:234-246.
7. Carr E. G.,Horner R. H.,Turnbull A. P.,Marquis J. G.,McLaughlin D. M.,McAtee M. L.,Braddock D.Positive behavior support with people with developmental disabilities: A research synthesis. Washington, DC: American Association on Mental Retardation; 1999:.
8. Cohen J.Statistical power analysis for the behavioral sciences. 1988). Statistical power analysis for the behavioral sciences (2nd ed.). Hillsdale, NJ: Lawrence Erlbaum.Hillsdale, NJ: Lawrence Erlbaum; 1988:.
9. Cooper J. O.,Heron T. E.,Heward W. L.Applied behavior analysis. 2007). Applied behavior analysis (2nd ed.). Upper Saddle River, NJ: Pearson/Merrill Prentice Hall.Upper Saddle River, NJ: Pearson/Merrill Prentice Hall; 2007:.
10. Crosbie J.Statistical inference in behavior analysis.Behavior Analyst. 1999;22:105-108.
11. Davison M.Statistical inference in behavior analysis: Having my cake and eating it?.Behavior Analyst. 1999;22:99-103.
12. Faith M. S.,Allison D. B.,Gorman B. S.Design and analysis of single-case research. Franklin R. D.Allison D. B.Gorman B. S., ed. Hillsdale, NJ: Lawrence Erlbaum; 1996:245-277.
13. Gage N. A.,Lewis T. J.,Stichter J. P.Functional behavioral assessment-based interventions for students with or at risk for emotional and/or behavioral disorders in schools: An HLM-meta-analysis.Behavioral Disorders. in press;:.
14. Goh A. E.,Bambara L. M.Individualized positive behavior support in school settings: A meta-analysis.Remedial and Special Education. 2010;:.
15. Gresham F. M.,McIntyre L. L.,Olson-Tinker H.,Dolstra L.,McLaughlin V.,Van M.Relevance of functional behavioral assessment research for school-based intervention and positive behavioral support.Research in Developmental Disabilities. 2004;25:19-37.
16. Guo S.,Hussey D.Analyzing longitudinal data: A three-level hierarchical linear model.Social Work Research. 1999;23:258-268.
17. Huitema B. E.Autocorrelation in applied behavior analysis: A myth.Behavioral Assessment. 1985;7:109-120.
18. Jenson W. R.,Clark E.,Kircher J. C.,Kristjansson S. D.Statistical reform: Evidence-based practice, meta-analyses, and single subject designs.Psychology in the Schools. 2007;44:483-493.
19. Kavale K. A.Potential advantages of the meta-analysis technique for research in special education.Journal of Special Education. 1984;18:61-72.
20. Kazdin A. E.Single-case research designs: Methods for clinical and applied settings. New York, NY: Oxford University Press; 1982:.
21. Kirk R. E.Practical significance: A concept whose time has come.Educational and Psychological Measurement. 1996;56:746-759.
22. Kline R. B.Beyond significance testing: Reforming data analysis methods in behavioral research. Washington, DC: American Psychological Association; 2005:.
23. Kratochwill T. R.,Alden K.,Demuth D.,Dawson D.,Panicucci C.,Arnston P.,Levin J. R.A further consideration in the application of an analysis of variance model for the intrasubject replication design.Journal of Applied Behavior Analysis. 1974;7:629-633.
24. KratochwillT. R.HitchcockJ.HornerR. H.LevinJ. R.OdomS. L.RindskopfD. M.ShaddishW. R. (2010). Single-case designs technical documentation. Retrieved from What Works Clearinghouse website: http://ies.ed.gov/ncee/wwc/pdf/wwc_scd.pdf.
25. Kratochwill T. R.,Levin J. R.Enhancing the scientific credibility of single-case intervention research: Randomization to the rescue.Psychological Methods. 2010;15:124-144.
26. Lane K. L.,Kalberg J. R.,Shepcaro J. C.An examination of the evidence base for function-based interventions for students with emotional or behavioral disorders attending middle and high schools.Exceptional Children. 2009;75:321-340.
27. Levin J. R.Single-case research design and analysis: New directions for psychology and education. Kratochwill T. R.Levin J. R., ed. Hillsdale, NJ: Lawrence Erlbaum; 1992:213-224.
28. Ljung G. M.,Box G. E. P.On a measure of lack of fit in time series models.Biometrika. 1978;65:297-303.
29. Ma H. H.An alternative method for quantitative synthesis of single-subject researches: Percentage of data points exceeding the median.Behavior Modification. 2006;30:598-617.
30. Manolov R.,Solanas A.Comparing N=1 effect size indices in presence of autocorrelation.Behavior Modification. 2008;32:860-875.
31. Marquis J. G.,Horner R. H.,Carr E. G.,Turnbull A. P.,Thompson M.,Behrens G. A.,Doolah A.Contemporary special education research: Syntheses of the knowledge base on critical instructional issues. Gersten R.Schiller E. P.Vaughn B. J., ed. Mahwah, NJ: Lawrence Erlbaum; 2000:137-178.
32. Mastropieri M. A.,Scruggs T. E.Early intervention for socially withdrawn children.Journal of Special Education. 1985;19:429-441.
33. Mathur S. R.,Kavale K. A.,Quinn M. M.,Forness S. R.,Rutherford R. B.Social skills interventions with students with emotional and behavioral problems: A quantitative synthesis of single-subject research.Behavioral Disorders. 1998;23:193-201.
34. Michael J.Statistical inference for individual organism research: Mixed blessing or curse?.Journal of Applied Behavior Analysis. 1974;7:647-653.
35. Nagler E. M.,Rindskopf D. M.,Shadish W. R.Analyzing data from small N designs using multilevel models: A procedural handbook. Washington, DC: U.S. Department of Education; 2008:.
36. Olive M. L.,Franco J. H.The Behavior Analyst Today. size matters: And so does the calculation; 2008:5-10.
37. Olive M. L.,Smith B. W.Effect size calculations and single subject designs.Educational Psychology. 2005;25:313-324.
38. Parker R. I.,Brossart D. F.Evaluating single-case research data: A comparison of seven statistical methods.Behavior Therapy. 2003;34:189-211.
39. Parker R. I.,Brossart D. F.,Vannest K. J.,Long J. R.,De-Alba R. G.,Baugh F. G.,Sullivan J. R.Effect sizes in single case research: How large is large?.School Psychology Review. 2005;34:116-132.
40. Parker R. I.,Hagan-Burke S.Useful effect size interpretations for single case research.Behavior Therapy. 2007;38:95-105.
41. Parker R. I.,Hagan-Burke S.,Vannest K.Percentage of all non-overlapping data (PAND): An alternative to PND.Journal of Special Education. 2007;40:194-204.
42. Parker R. I.,Vannest K. J.An improved effect size for single case research: Non-Overlap of All Pairs (NAP).Behavior Therapy. 2009;40:357-367.
43. Parker R. I.,Vannest K.,Brown L.The improvement rate difference for single-case research.Exceptional Children. 2009;75:135-150.
44. Parker R. I.,Vannest K.,Davis J. L.Effect size in single-case research: A review of nine nonoverlap techniques.Behavior Modification. 2011;:.
45. Parker R. I.,Vannest K. J.,Davis J. L.,Sauber S. B.Combining non-overlap and trend for single case research: Tau-U.Behavior Therapy. 2011;42:284-299.
46. Parsonson B. S.,Baer D. M.Single-case research design and analysis: New directions for psychology and education. Kratochwill T. R.Levin J. R., ed. Hillsdale, NJ: Lawrence Erlbaum; 1992:15-40.
47. Perone M.Statistical inference in behavior analysis: Experimental control is better.Behavior Analyst. 1999;22:109-116.
48. Raudenbush S. W.,Bryk A. S.Hierarchical linear models: Applications and data analysis procedures. 2002). Hierarchical linear models: Applications and data analysis procedures (2nd ed.). Thousand Oaks, CA: SAGE.Thousand Oaks, CA: SAGE; 2002:.
49. Raudenbush S. W.,Bryk A. S.,Congdon R.HLM 7 for Windows. Lincolnwood, IL: Scientific Software International; 2010:.
50. Salzberg C. L.,Strain P. S.,Baer D. M.Meta-analysis for single-subject research: When does it clarify, when does it obscure?.Remedial and Special Education. 1987;8:43-48.
51. Scruggs T. E.,Mastropieri M. A.How to summarize single-participant research: Ideas and applications.Exceptionality. 2001;9:227-244.
52. Scruggs T. E.,Mastropieri M. A.,Casto G.The quantitative synthesis of single-subject research: Methodology and validation.Remedial and Special Education. 1987;8:24-33.
53. Shadish W. R.,Brasil I. C. C.,Illingworth D. A.,Gilindo R.,Nagler E. M.,Rindskopf D. M.Using Ungraph to extract data from image files: Verification of reliability and validity.Behavior Research Methods. 2009;41:177-183.
54. Singer J. D.,Willett J. B.Applied longitudinal data analysis: Modeling change and event occurrence. New York, NY: Oxford University Press; 2003:.
55. Strain P. S.,Kohler F. W.,Gresham F. M.Behavioral Disorders. 1998 1998;24:74-85.
56. Suen H. K.,Ary D.Analyzing quantitative behavioral observation data. Hillsdale, NJ: Lawrence Erlbaum; 1989:.
57. Van den Noorgate W.,Onghena P.Combining single-case experimental data using hierarchical linear models.School Psychology Quarterly. 2003;18:325-346.
58. Van den Noorgate W.,Onghena P.The aggregation of single-case results using hierarchical linear models.Behavior Analyst. 2007;8:196-208.
59. Van den Noorgate W.,Onghena P.A multilevel meta-analysis of single-subject experimental design studies.Evidence-Based Communication Assessment and Intervention. 2008;2:142-151.
60. What Works Clearinghouse: Procedures and standards handbook (Version 2.0). Washington, DC: Author; 2008:.
61. White D. M.,Rusch F. R.,Kazdin A. E.,Hartmann D. P.Applications of meta-analysis in individual subject research.Behavioral Assessment. 1989;11:281-296.
62. White O. R.Some comments concerning "the quantitative synthesis of single-subject research.".Remedial and Special Education. 1987;8:34-39.
63. White O. R.,Haring N. G.Exceptional teaching. 1980). Exceptional teaching (2nd ed.). Columbus, OH: Merrill.Columbus, OH: Merrill; 1980:.
64. Wolery M.,Busick M.,Reichow B.,Barton E. E.Comparison of overlap methods for quantitatively synthesizing single-subject data.Journal of Special Education. 2010;44:18-28.