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Design and analysis of arm-in-cage experiments: inference for three-state progressive disease models with common
1RAND Corporation, Arlington, Virginia 22202, USA. bethg@rand.org
Abstract:
We develop statistical methods for designing and analyzing arm-in-cage experiments used to test the efficacy of insect repellents and other topical treatments. In these experiments, a controlled amount of the treatment is applied to a volunteer's forearm, which then is exposed to the insects by being placed into a special cage. Arms are not kept in the cages continuously, but rather placed there periodically for a brief period of time, during which it is noted whether an insect lands (but does not bite) or (lands and) bites. Efficacy of a repellent can be described using a progressive three-state model in which the first two states represent varying degrees of protection (no landing and landing without biting) and the third state occurs once protection is completely lost (biting). Because subjects within a treatment group follow the same cage visit schedule, transition times between states are interval censored into one of several fixed intervals. We develop an approach that uses a mixture of nonparametric and parametric techniques for estimating the parameters of interest when sojourn times are dependent. Design considerations for arm-in-cage experiments are addressed and the proposed methods are illustrated on data from a recent arm-in-cage experiment as well as simulated data.
Insights
This study introduces new statistical methods for analyzing arm-in-cage experiments to evaluate insect repellent efficacy. The methods accurately model protection levels and improve experimental design for topical treatments.
Area of Science:
- Biostatistics
- Entomology
- Epidemiology
Background:
- Arm-in-cage experiments are crucial for assessing topical treatment efficacy against insect bites.
- Existing methods may not fully capture the nuances of protection over time.
- Efficacy is often evaluated using a three-state model: no landing, landing without biting, and biting.
Purpose of the Study:
- To develop advanced statistical methods for designing and analyzing arm-in-cage experiments.
- To accurately estimate parameters related to insect repellent efficacy.
- To address interval-censored data arising from periodic exposure schedules.
Main Methods:
- Development of a statistical approach combining nonparametric and parametric techniques.
- Modeling dependent sojourn times within a progressive three-state framework.
- Consideration of experimental design factors specific to arm-in-cage studies.
Main Results:
- The proposed methods effectively estimate key parameters for insect repellent efficacy.
- The statistical approach handles interval-censored transition times accurately.
- Illustrative examples using real and simulated arm-in-cage experiment data.
Conclusions:
- The developed statistical methods enhance the design and analysis of arm-in-cage experiments.
- This approach provides a robust framework for evaluating topical treatment efficacy.
- Improved statistical modeling leads to more reliable assessments of insect repellents.
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