Combining Nonoverlap and Trend for Single-Case Research: Tau-U

Behavior Therapy

Volumn 42, Issue 2, 2011, Pages 284-299

  Parker, Richard I ^a   Vannest, Kimberly J ^a   Davis, John L ^a   Sauber, Stephanie B ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BEHAVIORAL RESEARCH; CORRELATION COEFFICIENT; METHODOLOGY; NONOVERLAP MODEL; PREDICTION; PROBABILITY; RANK SUM TEST; REGRESSION ANALYSIS; SINGLE CASE RESEARCH; STATISTICAL CONCEPTS; STATISTICAL DISTRIBUTION; TAU U; TIME SERIES ANALYSIS;

HUMANS; MODELS, THEORETICAL; RESEARCH; RESEARCH DESIGN; STATISTICS, NONPARAMETRIC;

EID: 79954590079     PISSN: 00057894     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.beth.2010.08.006     Document Type: Article

References (58)

1. Abramson, J. H. (2010). Programs for epidemiologists-Windows version (WinPepi) [Computer software]. Retrieved from http://www.brixtonhealth.com/pepi4windows.html.
2. 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.
3. Armitage P., Berry G., Matthews J.N. Statistical Methods in Medical Research 2002, Blackwell Science, Oxford. 4th ed.
4. Borckardt J.J., Nash M.R., Murphy M.D., Moore M., Shaw D., O-Neil P. Clinical practice as natural laboratory for psychotherapy research. American Psychologist 2008, 63:77-95.
5. Box G.E.P., Jenkins G.M. Time Series Analysis: Forecasting and Control (Rev. ed.) 1976, San Francisco, Holden-Day.
6. Busk P.L., Serlin R.C. Meta-analysis for single-case research. Single-case research design and analysis: New directions for psychology and education 1992, 187-212. Hillsdale, NJ, Erlbaum. T.R. Kratochwill, J.R. Levin (Eds.).
7. Center B.A., Skiba R.J., Casey A. A methodology for the quantitative synthesis of intra-subject design research. Journal of Special Education 1985-1986, 19:387-400.
8. Chambers J., Cleveland W., Kleiner B., Tukey P. Graphical methods for data analysis 1983, Wadsworth, Emeryville, CA.
9. Cleveland W. Elements of graphing data 1985, Wadsworth, Emeryville, CA.
10. Cliff N. Dominance statistics: Ordinal analyses to answer ordinal questions. Psychological Bulletin 1993, 114:494-509.
11. Cochrane D., Orcutt G.H. Application of least squares regression to relationships containing autocorrelated error terms. Journal of the American Statistical Association 1949, 44:32-61.
12. Cohen J., Cohen P. Applied multiple regression/correlation analysis for the behavioral sciences 1983, Hillsdale, NJ, Erlbaum. 2nd ed.
13. Conover W.J. Practical nonparametric statistics 1999, Wiley, New York. 3rd ed.
14. Cooper J.O., Heron T.E., Heward W.L. Applied behavior analysis 1987, Merrill, Columbus, OH.
15. Cottrell, A., & Lucchetti, R. (2009). GNU regression, econometric, and time-series library [Computer software]. Retrieved from http://gretl.sourceforge.net/.
16. Crosbie J. Interrupted time-series analysis with brief single-subject data. Journal of Consulting and Clinical Psychology 1993, 61(6):966-974.
17. Crosbie J. Interrupted time-series analysis with short series: Why it is problematic; How it can be improved. The analysis of change 1995, Erlbaum, Mahwah, NJ. J.M. Gottman (Ed.).
18. Faith M.S., Allison D.B., Gorman B.S. Meta-analysis of single-case research. Design and analysis of single-case research 1997, 245-277. Erlbaum, Mahwah, NJ. R.D. Franklin, D.B. Allison, B.S. Gorman (Eds.).
19. Franklin R.D., Allison D.B., Gorman B.S. Introduction. Design and analysis of single-case research 1997, 1-12. Erlbaum, Mahwah, NJ. D. Franklin, D.B. Allison, B.S. Gorman (Eds.).
20. Glass G.V., Willson V.L., Gottman J.M. Design and analysis of time series experiments 1975, University of Colorado Press, Boulder.
21. Harvey A.C. The econometric analysis of time series 1981, Wiley, New York.
22. Harvey A.C., McAvinchey I.D. The small sample efficiency of two-step estimators in regression models with autoregressive disturbances (Paper No. 78-10). Vancouver 1978, University of British Columbia, Canada.
23. Hildreth C., Lu J.Y. Demand relations with autocorrelated disturbances (Technical Bulletin No. 276) 1960, Michigan State University, East Lansing.
24. Hintze, J. (2006). NCSS and PASS: Number cruncher statistical systems [Computer software]. Kaysville, UT.
25. Hollander M., Wolfe D.A. Non-parametric statistical methods 1999, Wiley, New York. 2nd ed.
26. Huberty C.J., Lowman L.L. Group overlap as a basis for effect size. Educational and Psychological Measurement 2000, 60(4):543-563.
27. Huitema B. Analysis of interrupted time-series experiments using ITSE: A critique. Understanding Statistics 2004, 3:27-46.
28. Johnston J.M., Pennypacker H.S. Strategies and tactics of behavioral research 1993, Erlbaum, Hillsdale, NJ.
29. Jones R.R., Vaught R.S., Weinrott M. Time-series analysis in operant research. Journal of Applied Behavior Analysis 1977, 10:151-166.
30. Judge G.G., Griffiths W.E., Hill R.C., Lee T.C. The theory and practice of econometrics 1985, Wiley, New York. 2nd ed.
31. Kazdin A.E. Single-case research designs: Methods for clinical and applied settings 1982, Oxford University Press, New York.
32. Kendall M.G., Gibbons J.D. Rank correlation methods 1999, Arnold, London. 5th ed.
33. Single-case research design and analysis: New directions for psychology and education 1992, Erlbaum, Hillsdale, NJ. T.R. Kratochwill, J.R. Levin (Eds.).
34. Kutner M.H., Nachtsheim C.J., Neter J. Applied linear regression models 2004, McGraw-Hill, New York. 4th ed.
35. Matyas T.A., Greenwood K.M. Serial dependency in single-case time series. Design and analysis of single-case research 1996, 215-243. Erlbaum, Mahwah, NJ. R.D. Franklin, D.B. Allison, B.S. Gorman (Eds.).
36. Neter J., Kutner M.H., Nachtsheim C.J., Wasserman W. Applied linear statistical models 1996, McGraw-Hill, Boston. 4th ed.
37. Park R.E., Mitchell B.M. Estimating the autocorrelated error model with trended data. Journal of Econometrics 1980, 13:185-201.
38. Parker R.I., Brossart D.F. Evaluating single-case data: A comparison of seven statistical methods. Behavior Therapy 2003, 34:189-211.
39. Parker R.I., Brossart D.F. Phase contrasts for multi-phase single case intervention designs. School Psychology Quarterly 2006, 21(1):46-61.
40. Parker R.I., Brossart D.F., Callicott K.J., Long J.R., De-Alba R.G., Baugh F.G., et al. Effect sizes in single case research: How large is large. School Psychology Review 2005, 34:116-132.
41. Parker R.I., Cryer J., Byrns G. Controlling trend in single case research. School Psychology Quarterly 2006, 21(3):418-440.
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(4):357-367.
43. Parker R.I., Vannest K.J., Brown L. The improvement rate difference for single case research. Exceptional Children 2009, 75(2):135-150.
44. Parsonson B.S., Baer D.M. The visual analysis of data, and current research into the stimuli controlling it. Single-case research design and analysis 1992, 15-40. Erlbaum, Hillsdale, NJ. T.R. Kratochwill, J.R. Levin (Eds.).
45. Prais S.J., Winsten C.B. Trend estimators and serial correlation (Report No. 383) 1954, Cowles Commission, Chicago.
46. Scruggs T.E., Mastropieri M.A. The utility of the PND statistic: A reply to Allison and Gorman. Behavior, Research, and Therapy 1994, 32:879-883.
47. Scruggs T.E., Mastropieri M.A. Summarizing single-subject research: Issues and applications. Behavior Modification 1998, 22:221-242.
48. Scruggs T.E., Mastropieri M.A. How to summarize single-participant research: Ideas and applications. Exceptionality 2001, 9:227-244.
49. Scruggs T.E., Mastropieri M.A., Casto G. The quantitative synthesis of single subject research: Methodology and validation. Remedial and Special Education 1987, 8(2):24-33.
50. Sharpley C.F., Alavosius M.P. Autocorrelation in behavioral data: An alternative perspective. Behavioral Assessment 1988, 10:243-251.
51. Southerly, B. (2006, February 14). RE: ITSACORR update [Online forum comment]. Retrieved from http://www.mail-archive.com/tips@acsun.frostburg.edu/msg16062.html.
52. Spitzer J.J. Small-sample properties of nonlinear least squares and maximum likelihood estimators in the context of autocorrelated errors. Journal of the American Statistical Association 1979, 74(365):41-47.
53. Sprent P., Smeeton N.C. Applied nonparametric statistical methods 2007, Chapman & Hall/CRC, New York. 4th ed.
54. StatsDirect Ltd. (2010). StatsDirect statistical software [Computer software]. London. Retrieved from http://www.statsdirect.com.
55. Suen H.K., Ary D. Analyzing quantitative behavioral observation data 1989, Erlbaum, Hillsdale, NJ.
56. Wessa, P. (2008). Kendall Tau Rank Correlation-free statistics software, Version 1.1.23-r6 [Computer software]. Office for Research Development and Education. Retrieved from http://www.wessa.net/rwasp_kendall.wasp/.
57. 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.
58. Wilcox R. Fundamentals of modern statistical analysis: Substantially improving power and accuracy 2001, Springer-Verlag, New York.