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Should providers of treatment be regarded as a random factor? If it ain't broke, don't "fix" it: a comment on Siemer
Ronald C Serlin1, Bruce E Wampold, Joel R Levin
1Department of Educational Psychology, University of Wisconsin-Madison, Madison, WI 53706-1796, USA. rcserlin@wisc.edu
Abstract:
In their criticism of B. E. Wampold and R. C. Serlin's analysis of treatment effects in nested designs, M. Siemer and J. Joormann argued that providers of services should be considered a fixed factor because typically providers are neither randomly selected from a population of providers nor randomly assigned to treatments, and statistical power to detect treatment effects is greater in the fixed than in the mixed model. The authors of the present article argue that if providers are considered fixed, conclusions about the treatment must be conditioned on the specific providers in the study, and they show that in this case generalizing beyond these providers incurs inflated Type I error rates.
Insights
Treating service providers as a fixed factor in nested designs can inflate Type I error rates, potentially leading to incorrect conclusions about treatment effectiveness. Researchers must carefully consider model choices for accurate analysis.
Area of Science:
- Psychology
- Statistics
- Research Methodology
Background:
- Siemer and Joormann criticized Wampold and Serlin's analysis of treatment effects in nested designs.
- They argued for treating service providers as a fixed factor due to non-random selection and assignment.
- They also noted greater statistical power for detecting treatment effects in fixed versus mixed models.
Purpose of the Study:
- To address the implications of treating service providers as a fixed factor in nested designs.
- To demonstrate the consequences of this approach on the generalizability of treatment effect conclusions.
Main Methods:
- Theoretical analysis of statistical models for nested designs.
- Examination of the impact of fixed versus mixed effects for providers on error rates.
- Demonstration of inflated Type I error rates when generalizing beyond study-specific providers.
Main Results:
- Considering providers as a fixed factor necessitates conditioning conclusions on the specific providers included in the study.
- Generalizing findings beyond the studied providers under a fixed-effects model leads to inflated Type I error rates.
- This challenges the approach advocated by Siemer and Joormann regarding provider fixed effects.
Conclusions:
- The fixed-effects approach for providers in nested designs limits generalizability and increases the risk of false positives.
- Careful consideration of the statistical model is crucial for accurate interpretation of treatment effects in nested data.
- Alternative modeling strategies may be necessary to avoid inflated Type I errors when generalizing findings.
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