Optimal pool size and pooled sample size for hypothesis test of critical threshold of infection rates based on fixed sample size and pooled sampling method
10.3724/SP.J.1008.2011.01353
- Author:
Qing-wen SUN
1
Author Information
1. Department of Mathematics and Physics
- Publication Type:Journal Article
- Keywords:
Critical threshold;
Infection rates;
Pooled sample;
Test power
- From:
Academic Journal of Second Military Medical University
2011;32(12):1353-1356
- CountryChina
- Language:Chinese
-
Abstract:
To determine the optimal pool size and pooled sample size for testing whether an infection rate has exceeded the critical level of malaria epidemics using the pool sampling method and fixed sample size approach. Methods The function between the pooled sample size and pool size was deduced by using arcsin transformation and normal distribution approximation while controlling the probability of type I and type II errors. Computer simulation was used to evaluate the approximate power function. Results The optimum pool size and the pooled sample size were obtained for different critical and normal levels of infection rates. Conclusion The optimal pool size and the pooled sample size are in an inverse relationship for given probability of type I and type H errors, so in practice we should make an evaluation according to the sampling cost and test cost.
