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Commentaries

Analysis of Effect for Single-Case Design Research

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Pages 46-60 | Received 07 Sep 2011, Accepted 21 Jan 2012, Published online: 05 Dec 2012

REFERENCES

  • Allison , D. B. and Gorman , B. S. 1993 . Calculating effect sizes for meta-analysis: The case of the single case . Behavior Research and Therapy , 31 : 621 – 631 . doi:10.1016/0005-7967(93)90115-B
  • Ator , N. A. 1999 . Statistical inference in behavior analysis: Environmental determinants? . The Behavior Analyst , 22 : 93 – 97 .
  • Baer , D. M. 1977 . Perhaps it would be better not to know everything . Journal of Applied Behavior Analysis , 10 : 167 – 172 . doi:10.1901/jaba.1977.10-167
  • Baer , D. M. , Wolf , M. M. and Risley , T. R. 1968 . Some current dimensions of applied behavior analysis . Journal of Applied Behavior Analysis , 1 : 91 – 97 . doi:10.1901/jaba.1987.20-313
  • Baer , D. M. , Wolf , M. M. and Risley , T. R. 1987 . Some still-current dimensions of applied behavior analysis . Journal of Applied Behavior Analysis , 20 : 313 doi:10.1901/jaba.1987.20-313
  • Barker , J. B. and Jones , M. V. 2006 . Using hypnosis, technique refinement, and self-modeling to enhance self-efficacy: A case study in cricket . The Sport Psychologist , 20 : 94 – 110 .
  • Beretvas , S. N. and Chung , H. 2008 . A review of meta-analyses of single-subject experimental designs: Methodological issues and practice . Evidence-Based Communication Assessment & Intervention , 2 : 129 – 141 . doi:10.1080/17489530802446302
  • Brossart , D. F. , Parker , R. I. , Olson , E. A. and Mahadevan , L. 2006 . The relationship between visual analysis and five statistical analyses in a simple AB single-case research design . 30 : 531 – 563 . 5, doi:10.1177/0145445503261167
  • Busk , P. L. and Serlin , R. C. 1992 . “ Meta-analysis for single-case research ” . In Single-case research design and analysis: New directions for psychology and education , Edited by: Kratochwill , T. R. and Levin , J. R. 187 – 212 . Hillsdale , NJ : Lawrence Erlbaum .
  • Campbell , J. 2004 . Statistical comparison of four effect sizes for single-subject designs . Behavior Modification , 28 : 234 – 246 . doi:10.1177/0145445503259264
  • Center , B. J. , Skiba , R. J. and Casey , A. 1985-1986 . A methodology for the quantitative synthesis of intra-subject design research . Journal of Special Education , 19 : 387 – 400 . doi:10.1177/ 002246698501900404
  • Cochrane , D. and Orcutt , G. H. 1949 . Application of least squares regression to relationships containing autocorrelated error terms . Journal of the American Statistical Association , 44 : 32 – 61 .
  • Cohen , J. 1988 . Statistical power analysis for the behavioral sciences (2nd ed.) , Hillsdale , NJ : Lawrence Erlbaum .
  • Cohen , J. 1990 . Things I have learned (so far) . American Psychologist , 45 : 1304 – 1312 . doi:10.1037//0003–066X.45.12.1304
  • Cooper , J. O. , Heron , T. E. and Heward , W. L. 2007 . Applied Behavior Analysis (2nd ed.) , Upper Saddle River , NJ : Pearson/Merrill Prentice Hall .
  • Cooper , H. M. 2009 . Research synthesis and meta-analysis: A step-by-step approach , Thousand Oaks , CA : Sage .
  • Crosbie , J. 1993 . Interrupted time-series analysis with brief single-subject data . Journal of Consulting and Clinical Psychology , 61 : 966 – 974 . doi:10.1037//0022-006X.61.6.966
  • Crosbie , J. 1999 . Statistical inference in behavior analysis . The Behavior Analyst , 22 : 105 – 108 .
  • Davison , M. 1999 . Statistical inference in behavior analysis: Having my cake and eating it? . The Behavior Analyst , 22 : 99 – 103 .
  • DeProspero , A. and Cohen , S. 1979 . Inconsistent visual analyses of intrasubject data . Journal of Applied Behavior Analysis , 12 : 573 – 579 . doi:10.1901/jaba.1979.12-573
  • Edgington , E. S. 1967 . Statistical inference from N = 1 experiments . The Journal of Psychology , 65 : 195 – 199 .
  • Edgington , E. S. 1975 . Randomization tests for one-subject operant experiments . The Journal of Psychology , 90 : 57 – 68 . doi:10.1080/00223980.1975.9923926
  • Edgington , E. S. 1980 . Random assignment and statistical tests for one-subject experiments . Behavioral Assessment , 2 : 19 – 28 .
  • Edgington , E. S. 1992 . “ Nonparametric tests for single-case experiments ” . In Single-case research design and analysis: New directions for psychology and education , Edited by: Kratochwill , T. R. and Levin , J. R. Hillsdale , NJ : Lawrence Erlbaum .
  • Faith , M. S. , Allison , D. B. and Gorman , B. S. 1996 . “ Meta-analysis of single-case research ” . In Design and analysis of single-case research , Edited by: Franklin , R. D. , Allison , D. B. and Gorman , B. S. 245 – 277 . Hillsdale , NJ : Lawrence Erlbaum .
  • Ferron , J. M. , Farmer , J. L. and Owens , C. M. 2010 . Estimating individual treatment effects from multiple-baseline data: A Monte Carlo study of multilevel-modeling approaches . Behavior Research Methods , 42 : 930 – 943 . doi: 10.3758/BRM.42.4.930
  • Furlong , M. J. and Wampold , B. E. 1982 . Intervention effects and relative variation as dimensions in experts’ use of visual inference . Journal of Applied Behavior Analysis , 15 : 415 – 421 . doi:10.1901/jaba.1982.15-415
  • Gage , N. A. 2010 . Meta-analysis of single-subject research using hierarchical linear modeling: Empirical examination of the procedure and functional behavior assessment-based interventions , Columbia : University of Missouri . Unpublished doctoral dissertation
  • Gentile , J. R. , Roden , A. H. and Klein , R. D. 1972 . An analysis-of-variance model for the intrasubject replication design . Journal of Applied Behavior Analysis , 5 : 193 – 198 .
  • Guo , S. and Hussey , D. 1999 . Analyzing longitudinal data: A three-level hierarchical linear model . Social Work Research , 23 : 258 – 268 . doi:10.1093/swr/23.4.258
  • Hartmann , D. P. , Gottman , J. M. , Jones , R. R. , Gardner , W. , Kazdin , A. E. and Vaught , R. S. 1980 . Interrupted time-series analysis and its application to behavioral data . Journal of Applied Behavior Analysis , 13 : 543 – 559 . doi:10.1901/jaba.1980.13-543
  • Hayes , S. C. , Rincover , A. and Solnick , J. V. 1980 . The technical drift of applied behavior analysis . Journal of Applied Behavior Analysis , 13 ( 2 ) : 275 – 285 . doi:10.1901/jaba.1980.13-275
  • Hopkins , B. L. , Cole , B. L. and Mason , T. L. 1998 . A critique of the usefulness of inferential statistics in applied behavior analysis . The Behavior Analyst , 21 : 125 – 137 .
  • Horner , R. H. , Carr , E. G. , Halle , J. , McGee , G. , Odom , S. and Worley , M. 2005 . The use of single-subject research to identify evidence-based practice in special education . Exceptional Children , 71 : 165 – 179 .
  • Huitema , B. E. 1985 . Autocorrelation in applied behavior analysis: A myth . Behavioral Assessment , 7 : 107 – 118 .
  • Huitema , B. E. 1990 . Autocorrelation: 10 years of confusion . Behavioral Assessment , 10 : 253 – 294 .
  • Jenson , W. R. , Clark , E. , Kircher , J. C. and Kristjansson , S. D. 2007 . Statistical reform: Evidence-based practice, meta-analyses, and single subject designs . Psychology in the Schools , 44 : 483 – 493 . doi:10.1002/pits.20240
  • Jones , R. R. , Vaught , R. S. and Weinrott , M. R. 1977 . Time-series analysis in operant research . Journal of Applied Behavior Analysis , 10 : 151 – 166 . doi:10.1901/jaba.1977.10-151
  • Kazdin , A. E. 2010 . Single-case research designs: Methods for clinical and applied settings , (2nd Ed.) , New York : Oxford University Press .
  • Kirk , R. E. 1996 . Practical significance: A concept whose time has come . Educational and Psychological Measurement , 56 : 746 – 759 . doi:10.1177/0013164496056005002
  • Kline , R. B. 2005 . Beyond significance testing: Reforming data analysis methods in behavioral research , Washington , D. C. : American Psychological Association .
  • Kratochwill , T. R. 1992 . “ Single-case research design and analysis: An overview ” . In Single-Case research design and analysis: New directions for psychology and education , Edited by: Kratochwill , T. R. and Levin , J. R. Hillsdale , NJ : Lawrence Erlbaum Associates .
  • Kratochwill , T. R. , Alden , K. , Demuth , D. , Dawson , D. , Panicucci , C. , Arnston , P. and Levin , J. R. 1974 . A further consideration in the application of an analysis of variance model for the intrasubject replication design . Journal of Applied Behavior Analysis , 7 : 629 – 633 . doi:10.1901/jaba.1974.7-629
  • Kratochwill , T. R. , Hitchcock , J. , Horner , R. H. , Levin , J. R. , Odom , S. L. , Rindskopf , D. M. and Shadish , W. R. 2010, June . Single-case designs technical documentation Retrieved from ies.ed.gov/ncee/wwc/pdf/wwc_scd.pdf-2010-09-21
  • Kratochwill , T. R. and Levin , J. R. 1992 . Single-case research design and analysis: New directions in psychology and education , Hillsdale , NJ : Lawrence Erlbaum Associates .
  • Levin , J. R. 1992 . “ Single-case research design and analysis: Comments and concerns ” . In Single-case research design and analysis: New Directions for psychology and education , Edited by: Kratochwill , T. R. and Levin , J. R. 213 – 224 . Hillsdale , NJ : Lawrence Erlbaum .
  • Lewis , T. J. , Lewis-Palmer , T. , Newcomer , L. L. and Stichter , J. 2004 . “ Applied behavior analysis and the education and treatment of students with emotional and behavioral disorders ” . In Handbook of research in emotional and behavioral disorders , Edited by: Rutherford , R. B. , Quinn , M. M. and Mathur , S. R. New York : The Guilford Press .
  • Lundervold , D. and Bourland , G. 1988 . Quantitative analysis of treatment of aggression, self-injury, and property destruction . Behavior Modification , 12 : 590 – 617 . doi:10.1177/01454455880124006
  • Ma , H. H. 2006 . An alternative method for quantitative synthesis of single-subject researches: Percentage of data points exceeding the median . Behavior Modification , 30 : 598 – 617 . doi:10.1177/0145445504272974
  • Maggin , D. M. , Swaminathan , H. , Rogers , H. J. , O’Keefe , B. V. , Sugai , G. and Horner , R. H. 2011 . A generalized least squares regression approach for computing effect sizes in single-case research: Application examples . Journal of School Psychology , 49 : 301 – 321 . doi: 10.1016/j.jsp.2011.03. 004
  • Manolov , R. and Solanas , A. 2008 . Comparing N = 1 effect size indices in presence of autocorrelation . Behavior Modification , 32 : 860 – 875 . doi:10.1177/0145445508318866
  • Marquis , J. G. , Horner , R. H. , Carr , E. G. , Turnbull , A. P. , Thompson , M. , Behrens , G. A. and Doollahb , A. 2000 . “ A meta-analysis of positive behavior support ” . In Contemporary special education research: Syntheses of the knowledge base on critical instructional issues , Edited by: Gersten , R. , Schiller , E. P. and Vaughn , B. J. 137 – 178 . Mahwah , NJ : Lawrence Erlbaum Associates .
  • Mastropieri , M. A. and Scruggs , T. E. 1985 . Early intervention for socially withdrawn children . The Journal of Special Education , 19 : 429 – 441 . doi:10.1177/002246698501900407
  • Matyas , T. A. and Greenwood , K. M. 1996 . “ Serial dependency in single-case time series ” . In Design and analysis of single-case research. , Edited by: Franklin , R. D. , Allison , D. B. and Gorman , B. S. 215 – 243 . Mahwah , NJ : Lawrence Erlbaum Associates .
  • McCleary , R. and Welsh , W. N. 1992 . “ Philosophical and statistical foundations of time-series experiments ” . In Single-case research and analysis: New directions for psychology and education , Edited by: Kratochwill , T. R. and Levin , J. R. 41 – 92 . Hillsdale , NJ : Lawrence Erlbaum .
  • Michael , J. 1974 . Statistical inference for individual organism research: Mixed blessing or curse? . Journal of Applied Behavior Analysis , 7 : 647 – 653 . doi:10.1901/jaba.1974.7-647
  • Morgan , D. L. and Morgan , R. K. 2009 . Single-case research methods for the behavioral and health sciences , Thousand Oaks , CA : Sage .
  • Nourbakhsh , M. R. and Ottenbacher , K. J. 1994 . The statistical analysis of single-subject data: A comparative analysis . Physical Therapy , 74 : 768 – 776 .
  • O’Brien , S. and Repp , A. C. 1990 . Reinforcement-based reductive procedures: A review of 20 years of their use with persons with severe or profound retardation . Journal of the Association for Persons with Severe Handicaps , 15 : 148 – 159 .
  • Parker , R. I. and Brossart , D. F. 2003 . Evaluating single-case research data: A comparison of seven statistical methods . Behavior Therapy , 34 : 189 – 211 . doi:10.1016/S0005-7894(03)80013-8
  • Parker , R. , Hagan-Burke , S. and Vannest , S. 2007 . Percentage of all non-overlapping data points (PAND): An alternative to PND . Journal of Special Education , 40 : 194 – 204 .
  • Parker , R. I. and Vannest , K. J. 2009 . An improved effect size for single case research: Non- Overlap of All Pairs (NAP) . Behavior Therapy , 40 : 357 – 367 .
  • Parker , R. I. , Vannest , K. and Brown , L. 2009 . The Improvement Rate Difference for single-case research . Exceptional Children , 75 : 135 – 150 .
  • Parker , R. I. , Vannest , K. and Davis , J. L. 2011 . Effect size in single-case research: A review of nine nonoverlap techniques . Behavior Modification , 35 : 303 – 322 . doi:10.1177/0145445511399147
  • Parker , R. I. , Vannest , K. J. , Davis , J. L. and Sauber , S. B. 2011 . Combining non-overlap and trend for single case research: Tau-U . Behavior Therapy , 42 : 284 – 299 .
  • Parsonson , B. S. and Baer , D. M. 1992 . “ The visual analysis of data, and current research into the stimuli controlling it ” . In Single-case research design and analysis: New directions for psychology and education , Edited by: Kratochwill , T. R. and Levin , J. R. Hillsdale , NJ : Lawrence Erlbaum Associates .
  • Perone , M. 1999 . Statistical inference in behavior analysis: Experimental control is better . The Behavior Analyst , 22 : 109 – 116 .
  • Ramsey , P. P. and Ramsey , P. H. 2006 . Robust testing of level changes in interrupted time-series analysis . Journal of Statistical Computation and Simulation , 76 : 913 – 923 . doi:10.1080/10629360500109069
  • Scotti , J. R. , Evans , I. M. , Meyer , L. H. and Walker , P. 1991 . A meta-analysis of intervention research with problem behavior: Treatment validity and standards of practice . American Journal of Mental Retardation , 96 : 233 – 256 .
  • Scruggs , T. E. and Mastropieri , M. A. 2001 . How to summarize single-participant research: Ideas and applications . Exceptionality , 9 : 227 – 244 . doi:10.1207/S15327035EX0904_5
  • Scruggs , T. E. , Mastropieri , M. A. and Casto , G. 1987 . The quantitative synthesis of single-subject research: Methodology and validation . Remedial and Special Education , 8 : 24 – 33 . doi:10.1177/074193258700800206
  • Shadish , W. R. 2007 July . A new method for meta-analysis of single-case designs Evanston, IL , , USA Paper presented at the Second Annual Meeting of the Society for Research Synthesis Methodology
  • Shadish , W. R. and Rindskopf , D. M. 2007 . Methods for evidence-based practice: Quantitative synthesis of single-subject designs . New Directions for Evaluation , 113 : 95 – 109 .
  • Shadish , W. R. , Rindskopf , D. M. and Hedges , L. V. 2008 . The state of the science in the meta-analysis of single-case experimental designs . Evidence-Based Communication Assessment and Intervention , 2 : 188 – 196 . doi:10.1002/ev.217
  • Sidman , M. 1960 . Tactics of scientific research: Evaluating experimental data in psychology , New York : Basic Books .
  • Singer , J. D. and Willett , J. B. 2003 . Applied longitudinal data analysis: Modeling change and event occurrence , New York : Oxford University Press .
  • Skinner , B. F. 1953 . Science and human behavior , New York , NY : The Free Press .
  • Strain , P. S. , Kohler , F. W. and Gresham , F. M. 1998 . Problems in logic and interpretation with quantitative syntheses of single-case research: Mathur and colleagues (1998) as a case in point . Behavioral Disorders , 24 : 74 – 85 .
  • Swaminathan , H. , Horner , R. H. , Sugai , G. , Smolkowski , K. , Hedges , L. and Spaulding , S. A. 2010 . Application of generalized least squares regression to measure effect size in single-case research: A technical report , Institute for Education Sciences, Washington, DC . Unpublished technical report
  • Tankersley , M. , Harjusola-Webb , S. and Landrum , T. J. 2008 . Using single-subject research to establish the evidence base of special education . Intervention in school and clinic , 44 : 83 – 90 . doi:10.1177/1053451208321600
  • Tawney , J. W. and Gast , D. L. 1984 . Single subject research in special education , Columbus , OH : Merrill .
  • Tryon , W. W. 1982 . A simplified time-series analysis for evaluating treatment interventions . Journal of Applied Behavior Analysis , 15 : 423 – 429 . doi:10.1901/jaba.1982.15-423
  • Van den Noortgate , W. and Onghena , P. 2003 . Hierachical linear models for the quantitative integration of effect sizes in single-case research . Behavior Research Methods, Instruments, & Computers , 35 : 1 – 10 . doi:10.3758/BF03195492
  • Van den Noortgate , W. and Onghena , P. 2007 . The aggregation of single-case results using hierarchical linear models . The Behavior Analyst , 8 : 196 – 208 .
  • Van den Noortgate , W. and Onghena , P. 2008 . A multilevel meta-analysis of single-subject experimental design studies . Evidence-Based Communication Assessment & Intervention , 2 : 142 – 151 .
  • Waigandt , A. 2004 . An introduction to statistical reasoning in quantitative research , Kearney , NE : Morris Publishing .
  • Wampold , B. E. and Furlong , M. J. 1981 . The heuristics of visual analysis . Behavioral Assessment , 3 : 71 – 92 .
  • White , O. R. and Haring , N. G. 1980 . Exceptional teaching (2nd ed.) , Columbus , OH : Merrill .
  • Wolery , M. , Busick , M. , Reichow , B. and Barton , E. E. 2010 . Comparison of overlap methods for quantitatively synthesizing single-subject data . The Journal of Special Education , 44 : 18 – 28 . doi:10.1177/0022466908328009

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