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Original Article

Improved analyses of single cases: Dynamic multilevel analysis

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Pages 253-265 | Received 13 May 2015, Accepted 09 Nov 2015, Published online: 10 Feb 2016

References

  • Gast DL, Ledford JR. Single case research methodology: Applications in special education and behavioural sciences. 2nd ed. New York: Routledge; 2014. 415 p.
  • U.S. Department of Education. Identifying and implementing educational practices supported by rigorous evidence: a user friendly guide. Washington, DC: Institute of Educational Science, National Center for Education Evaluation and Regional Assistance; 2003. 19 p.
  • Maggin DM, O’Keeffe BV, Johnson AH. A quantitative synthesis of methodology in the meta-analysis of single-subject research for students with disabilities: 1985–2009. Exceptionality 2011; 19: 109–135.
  • Chiu MM, Khoo L. A new method for analysing sequential processes: dynamic multi-level analysis. Small Group Research 2005; 36: 600–631.
  • Horner RH, Carr EG, Halle J, McGee G, Odom S, Wolery M. The use of single-subject research to identify evidence-based practice in special education. Except Child 2005; 79:165–179.
  • Shadish WR, Kyse EN, Rindskopf DM. Analyzing data from single-case designs using multilevel models: new applications and some agenda items for future research. Psychol Methods 2013; 18:385–405.
  • Snijders TAB, Bosker R. Multilevel analysis. London: Sage; 2012. 368 p.
  • Sobel ME. Asymptotic confidence intervals for indirect effects in structural equation models. Sociol Methodology 1982; 13:290–312.
  • Parker RI, Vannest KJ. Bottom-up analyses for single-case research designs. Journal of Behavioral Education 2012; 21:254–265.
  • Parker RI, Vannest KJ, Davis JL. Effect size in single-case research: a review of nine nonoverlap techniques. Behavior Modification 2011; 35:303–322.
  • Ninci J, Vannest KJ, Wilson V, Zhang N. Interrater agreement between visual analysts of single-case data: a meta-analysis. Behavior Modification 2015; 39:510–541.
  • Wolery M, Busick M, Reichow B, Barton EE. Comparison of overlap methods for quantitatively synthesizing single-subject data. The Journal of Special Education 2010; 44:18–28.
  • Altman DG, Royston P. The cost of dichotomising continuous variables. Bmj 2006; 332.7549:1080.
  • MacCallum RC, Zhang S, Preacher KJ, Rucker DD. On the practice of dichotomization of quantitative variables. Psychological Methods 2002; 7:19.
  • Davis DH, Gagné P, Fredrick LD, Alberto PA, Waugh RE, Haardörfer R. Augmenting visual analysis in single-case research with hierarchical linear modelling. Behavior Modification 2013; 37:62–89.
  • Graham JW. Missing data analysis. Annual Review of Psychology 2009; 60:549–576.
  • Enders CK. A primer on maximum likelihood algorithms available for use with missing data. Structural Equation Modeling 2001; 8:128–141.
  • Maas CJ, Hox JJ. Sufficient sample sizes for multilevel modelling. Methodology (Gott) 2005; 1:86–92.
  • Gage NA, Lewis TJ. Hierarchical linear modelling meta-analysis of single subject design research. The Journal of Special Education 2014; 48:3–16.
  • Bryk AS, Raudenbush SW. Hierarchical linear models. London: Sage; 1992. 512 p.
  • Shadish WR. Statistical analyses of single-case designs: the shape of things to come. Current Directions in Psychological Science 23:139–146.
  • Kennedy P. Guide to econometrics. New York: Wiley-Blackwell; 2008. 600 p.
  • Grasa AA. Econometric model selection. Dordrecht: Kluwer; 2010. 262 p.
  • Moeyaert M, Ferron J, Beretvas S, Van den Noortgate W. From a single-level analysis to a multilevel analysis of single-case experimental designs. Journal of School Psychology 2014; 52:83–103.
  • Benjamini Y, Krieger AM, Yekutieli D. Adaptive linear step-up procedures that control the false discovery rate. Biometrika 2006; 93:491–507.
  • MacKinnon DP, Lockwood CM, Williams J. Confidence limits for the indirect effect. Multivariate Behavioral Research 2004; 39:99–128.
  • Carr ME, Moore DW, Anderson A. Self-management interventions on students with autism: a meta-analysis of single subject research. Except Participants 2014; 81:28–44.
  • Kratochwill TR, Hitchcock J, Horner RH, Levin JR, Odom SL, Rindskopf DM, et al. Single-case designs technical documentation. What works clearinghouse institute for educational sciences; 2010. http://ies.ed.gov/ncee/wwc/pdf/wwc_scd.pdf
  • Koegel RL, Frea WD. Treatment of social behaviour in autism pivotal social skills. Journal of Applied Behavior Analysis 1993; 26:369–377.
  • Baek EK, Moeyaert M, Petit-Bois M, Beretvas SN, Van den Noortgate W, Ferron JM. The use of multilevel analysis for integrating single-case experimental design results within a study and across studies. Neuropsychological Rehabilitation 24:590–606.
  • Brossart DF, Parker RI, Olson EA, Mahadevan L. The relationships between visual analysis and five statistical analyses in a simple AB single-case research design. Behavior Modification 2006; 30:531–563.
  • Zhang F, Wagner AK, Ross-Degnan. Simulation-based power calculation for designing interrupted time series analysis of health policy implications. J Clinical Epidemiology 2011; 64:1252–1261.
  • Pustejovsky JE, Hedges LV, Shadish WR. Design-comparable effect sizes in multiple baseline designs: a general modelling framework. Journal of Educational and Behavioral Statistics 2014; 39:368–393.
  • Shadis WR, Hedges LV, Pustejovsky JE. Analysis and meta-analysis of single-case designs within a standardized mean difference statistic: a primer and applications. Journal of School Psychology 2014; 52:15–29.
  • Baek E, Ferron JM. Multilevel models for multiple-baseline data: modeling across participant variation in autocorrelation and residual variance. Behavior Research Methods 2013; 45:65–74.
  • Ferron JM, Bell BA, Hess MR, Rendina-Gobioff G, Hibbard ST. Making treatment effect inferences from multiple baseline data: the utility of multilevel modelling approaches. Behavior Research Methods 2009; 41:372–384.
  • Shadish WR, Zuur AF, Sullivan KJ. Using generalized additive (mixed) models to analyse single-case designs. Journal of School Psychology 2014; 52:41–70.
  • Shadish WR. Analysis and meta-analysis of single-case designs. Journal of School Psychology 2014; 52:41–70.
  • Swaminathan H, Rogers HJ, Horner RH. An effect size measure and Bayesian analysis of single-case designs. Journal of School Psychology 2014; 52:105–122.
  • Saltelli A, Ratto M, Andres T, Campolongo F, Cariboni J, Gatelli D, et al. Global sensitivity analysis: the primer. West Sussex, England: John Wiley & Sons; 2008. 304 p.
  • Scruggs TE, Mastropieri M. PND at 25. Remedial and Special Education 2013; 34:9–19.

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