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Analysis of single-case data: randomisation tests for measures of effect size
Mieke Heyvaert1, Patrick Onghena
1a Faculty of Psychology and Educational Sciences , University of Leuven , Belgium.
Randomizing single-case experiments enhances validity. This study details randomized designs and introduces an effect size index for robust intervention effect analysis in single-entity studies.
Area of Science:
- Behavioral Science
- Research Methodology
- Psychology
Background:
- Single-case experiments are crucial for evaluating interventions in individual cases.
- Enhancing internal and statistical conclusion validity is paramount for reliable findings.
- Randomization offers a powerful tool to strengthen the rigor of single-case designs.
Purpose of the Study:
- To explain the design and analysis of randomized single-case experiments.
- To introduce randomisation tests for various randomized single-case designs.
- To propose using an effect size index within randomisation tests to quantify intervention effects.
Main Methods:
- Detailed explanation of designing randomized single-case phase and alternation studies.
- Guidance on constructing randomized simultaneous and sequential replication studies.
- Methodology for conducting randomisation tests, including the use of an effect size index.
Main Results:
- Randomisation significantly improves the validity of single-case experiments.
- Randomisation tests provide a robust statistical framework for analyzing these designs.
- Incorporating an effect size index allows for the quantification of intervention magnitude.
Conclusions:
- Randomized single-case experimental designs offer superior internal and statistical conclusion validity.
- Randomisation tests, especially when combined with effect size indices, provide comprehensive analysis of intervention effects.
- The proposed methods are illustrated with an ABAB phase study and available free software.
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