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Article

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Accepted version

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2012

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/32280

Assigning and combining probabilities in single-case studies

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Related resource

http://dx.doi.org/10.1037/a0029248

Abstract

There is currently a considerable diversity of quantitative measures available for summarizing the results in single-case studies. Given that the interpretation of some of them is difficult due to the lack of established benchmarks, the current paper proposes an approach for obtaining further numerical evidence on the importance of the results, complementing the substantive criteria, visual analysis, and primary summary measures. This additional evidence consists of obtaining the statistical significance of the outcome when referred to the corresponding sampling distribution. This sampling distribution is formed by the values of the outcomes (expressed as data nonoverlap, R-squared, etc.) in case the intervention is ineffective. The approach proposed here is intended to offer the outcome"s probability of being as extreme when there is no treatment effect without the need for some assumptions that cannot be checked with guarantees. Following this approach, researchers would compare their outcomes to reference values rather than constructing the sampling distributions themselves. The integration of single-case studies is problematic, when different metrics are used across primary studies and not all raw data are available. Via the approach for assigning p values it is possible to combine the results of similar studies regardless of the primary effect size indicator. The alternatives for combining probabilities are discussed in the context of single-case studies pointing out two potentially useful methods- one based on a weighted average and the other on the binomial test.

Subject

Estudi de casos, Investigació de cas únic, Teoremes de límit (Teoria de probabilitats), Psicologia aplicada

Subject (English)

Case studies, Single subject research, Limit theorems (Probability theory), Applied psychology

Citation

Collections

Articles publicats en revistes (Psicologia Social i Psicologia Quantitativa)

Citation

MANOLOV, Rumen and SOLANAS PÉREZ, Antonio. Assigning and combining probabilities in single-case studies. Psychological Methods. 2012. ISSN 1082-989X. [consulted: 10 of August of 2026]. Available at: https://hdl.handle.net/2445/32280

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