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An analysis-of-variance model for the intrasubject replication design.
J R Gentile1, A H Roden, R D Klein
1State University of New York at Buffalo.
Journal of Applied Behavior Analysis
|July 1, 1972
Summary
Analysis of variance (ANOVA) is appropriate for testing hypotheses in treatment reversal designs. This applies to both single-subject and N-subject experiments, as demonstrated by typical data analyses.
Area of Science:
- Behavioral science
- Experimental design
- Statistical analysis
Background:
- Treatment reversal designs are common in behavioral research.
- Statistical analysis of these designs can be complex.
- Appropriate statistical methods ensure valid hypothesis testing.
Purpose of the Study:
- To demonstrate the suitability of analysis of variance (ANOVA) for treatment reversal designs.
- To provide guidance on applying ANOVA to single-subject and N-subject experiments.
- To illustrate the practical application of these statistical procedures.
Main Methods:
- Applying one-way ANOVA for single-subject experiments.
- Applying two-way ANOVA for N-subject experiments.
- Analyzing typical data sets to demonstrate applicability.
Main Results:
- One-way ANOVA is appropriate for single-subject reversal designs.
- Two-way ANOVA is appropriate for N-subject reversal designs.
- Data analyses confirmed the utility of these methods.
Conclusions:
- ANOVA procedures offer a statistically sound approach for analyzing treatment reversal designs.
- These methods enhance the rigor of hypothesis testing in both individual and group experimental settings.
- The findings support the use of ANOVA for robust interpretation of reversal design data.