Incorporating Contact Network Structure in Cluster Randomized Trials
Patrick C Staples1, Elizabeth L Ogburn2, Jukka-Pekka Onnela1
1Department of Biostatistics, Harvard University, Boston, MA 02115, USA.
Abstract:
Whenever possible, the efficacy of a new treatment is investigated by randomly assigning some individuals to a treatment and others to control, and comparing the outcomes between the two groups. Often, when the treatment aims to slow an infectious disease, clusters of individuals are assigned to each treatment arm. The structure of interactions within and between clusters can reduce the power of the trial, i.e. the probability of correctly detecting a real treatment effect. We investigate the relationships among power, within-cluster structure, cross-contamination via between-cluster mixing, and infectivity by simulating an infectious process on a collection of clusters. We demonstrate that compared to simulation-based methods, current formula-based power calculations may be conservative for low levels of between-cluster mixing, but failing to account for moderate or high amounts can result in severely underpowered studies. Power also depends on within-cluster network structure for certain kinds of infectious spreading. Infections that spread opportunistically through highly connected individuals have unpredictable infectious breakouts, making it harder to distinguish between random variation and real treatment effects. Our approach can be used before conducting a trial to assess power using network information, and we demonstrate how empirical data can inform the extent of between-cluster mixing.
Insights
New infectious disease trials need accurate power calculations. Ignoring how individuals mix between clusters can lead to underpowered studies, potentially missing effective treatments.
Area of Science:
- Epidemiology
- Biostatistics
- Clinical Trial Design
Background:
- Randomized controlled trials (RCTs) are standard for evaluating treatment efficacy.
- Cluster randomized trials (CRTs) are often used for infectious diseases, assigning groups (clusters) to interventions.
- Trial power, the ability to detect a true effect, can be compromised by cluster structure and interactions.
Purpose of the Study:
- To investigate the impact of within- and between-cluster interactions on statistical power in infectious disease CRTs.
- To compare simulation-based power assessments with traditional formula-based methods.
- To highlight the importance of accounting for network structure and cross-contamination in trial design.
Main Methods:
- Simulated an infectious process across a network of clusters.
- Varied parameters including within-cluster network structure, between-cluster mixing (cross-contamination), and infectivity.
- Compared power calculations derived from simulations versus standard formulas.
Main Results:
- Formula-based power calculations can be overly conservative with low between-cluster mixing.
- Failure to account for moderate to high between-cluster mixing significantly reduces study power.
- Within-cluster network structure influences power, particularly for infections spreading through highly connected individuals.
Conclusions:
- Current formula-based power calculations may underestimate power in some scenarios and overestimate it in others if mixing is not considered.
- Simulation-based approaches incorporating network information are crucial for accurate power assessment in CRTs for infectious diseases.
- Empirical data on mixing patterns can improve the design and power estimations of future trials.
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