ANALYSIS RESOURCES

GENERAL ANALYSIS PAPERS AND TUTORIALS

Gabler NB, Duan N, Vohra S, Kravitz RL. N-of-1 trials in the medical literature: a systematic review. Medical care. 2011 Aug 1:761-8. Click here to access.
Manolov, Gast, Perdices, Evans (2014). Single-case experimental designs: Reflections on conduct and analysis. Neuropsychological Rehabilitation, 24, 634-660. Click here to access.
Manolov & Moeyaert (2016). How can single-case data be analyzed? Software resources, tutorial, and reflections on analysis. Behaviour Modification, 41, 179-228. Click here to access.
Molenaar PC, Valsiner J. How generalization works through the single case: A simple idiographic process analysis of an individual psychotherapy. YIS: Yearbook of idiographic science. 2009;1:23-38. Click here to access.

Gast. (2014). Visual analysis of graphic data. In Gast and Ledford (Eds.) Single Case Research Methodology. Applications in Special Education and Behavioral Sciences (2nd Ed). pp. 176-210. New York, NY: Routledge. Click here to access.
Lane & Gast. (2014). Visual analysis in single case experimental design studies: Brief review and guideline. Neuropsychological Rehabilitation, 24, 445-463. Click here to access.

EFFECT SIZE

Barton, Pustejovsky, Maggin & Reichow (2017). Technology-aided instruction and intervention for students with ASD: A meta-analysis using novel methods of estimating effect sizes for single-case research. Remedial and Special Education.
Chen LT, Wu PJ, Peng CY. Accounting for baseline trends in intervention studies: Methods, effect sizes, and software. Cogent Psychology. 2019 Jan 1;6(1):1679941.
Odom, Barton, Reichow, Swaminathan & Pustejovsky (2018). Between-case standardized effect size analysis of single case designs: Examination of the two methods. Research in developmental disabilities.
Parker RI, Vannest K. An improved effect size for single-case research: Nonoverlap of all pairs. Behavior Therapy. 2009 Dec 1;40(4):357-67.

TAU-U

Brossart DF, Laird VC, Armstrong TW. Interpreting Kendall’s Tau and Tau-U for single-case experimental designs. Cogent Psychology. 2018 Jan 1;5(1):1518687.
Parker, Vannest, Davis & Sauber. (2011). Combining non-overlap and trend for single-case research: Tau-U. Behavior Therapy, 35, 202-322.
Tarlow KR. An improved rank correlation effect size statistic for single-case designs: Baseline corrected Tau. Behavior Modification. 2017 Jul;41(4):427-67.
Tau-U calculator

D STATISTICS (The d statistic was specifically developed for analysis of SCEDs and is comparable to Cohen’s d for between group differences)

Shadish, Hedges, Pustejovsky, Boyajian, Sullivan, Andrade, Barrientos (2014). A d-statistic for single-case designs that is equivalent to the usual between-groups d-statistic. Neuropsychological Rehabilitation, 24, 528-553.
Shadish (2015). A manual on SPSS® macros to calculate d for both WRDs and multiple baseline designs.

STATISTICAL ANALYSIS

Sample Size Considerations

Senn S. Sample size considerations for n-of-1 trials. Statistical methods in medical research. 2019 Feb;28(2):372-83.

Dynamic Regression Modelling

Vieira, R., McDonald, S., Araújo-Soares, V., Sniehotta, F. F., & Henderson, R. (2017). Dynamic modelling of n-of-1 data: powerful and flexible data analytics applied to individualised studies. Health psychology review, 11, 222-234. Click here to access.
McDonald, S., Vieira, R., & Johnston, D. W. (2020). Analysing N-of-1 observational data in health psychology and behavioural medicine: a 10-step SPSS tutorial for beginners. Health psychology and behavioral medicine, 8(1), 32-54. Click here to access.

Randomization Tests

Bouwmeester S, and Jongerling J. Power of a randomization test in a single case multiple baseline AB design. PLOS ONE. 2020 Feb 6;15(2):e0228355.
Lall VF, Levin JR. An empirical investigation of the statistical properties of generalized single-case randomization tests. Journal of School Psychology. 2004 Jan 1;42(1):61-86.

Bayesian Analysis for N-of-1 Trials

Mengersen, McGree & Schmid (2015). Statistical Analysis of N-of-1 Trials. In Nikles & Mitchell (Eds.) The Essential Guide to N-of-1 Trials in Health. Springer Netherlands

N-of-1 Studies Counterfactual Framework

Daza (2018) Causal Analysis of Self-tracked Time Series Data Using a Counterfactual Framework for N-of-1 Trials. Methods of Information in Medicine, 57, e10-e21

Accounting for Missing Data

Chen LT, Feng Y, Wu PJ, Peng CY. Dealing with missing data by EM in single-case studies. Behavior Research Methods. 2020 Feb;52(1):131-50
De TK, Michiels B, Tanious R, Onghena P. Handling missing data in randomization tests for single-case experiments: A simulation study. Behavior Research Methods. 2020 Jan 2:1-6

Simulation

Aggregation and Meta-Analysis

Blackston JW, Chapple AG, McGree JM, McDonald S, Nikles J. Comparison of Aggregated N-of-1 Trials with Parallel and Crossover Randomized Controlled Trials Using Simulation Studies. Healthcare 2019 Dec (Vol. 7, No. 4, p. 137). Multidisciplinary Digital Publishing Institute.
Marso & Shadish (2015). Software for meta-analysis of single-case designs: DHPSmacro
Mengersen, McGree & Schmid (2015). Systematic review and meta-analysis using N-of-1 trials. In Nikles & Mitchell (Eds.) The Essential Guide to N-of-1 Trials in Health, p211. Springer Netherlands

EXAMPLE PAPERS DEMONSTRATING VISUAL AND STATISTICAL ANALYSIS

Tate, Wakim, Sigmundsdottir & Longley (2018). Evaluating an intervention to increase meaningful activity after severe traumatic brain injury: A single-case experimental design with direct inter-subject and systematic replications. Neuropsychological Rehabilitation.

WEBSITES

Manolov (2019). List of single-case data analysis software tools. A collection of analysis resources for SCEDs on the Open Science Framework. Click here to access.
Manolov, Moeyaert & Evans (2015). Resources and guidelines for analysing SCED data. Click here to access.
Vannest, Parker, Gonen & Adiguzel. (2016). Single Case Research: web based calculators for SCR analysis. Click here to access.