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Sample Size Calculations for Surveys to Substantiate Freedom of Populations from Infectious Agents
Wesley O. Johnson, Chun-Lung Su, Ian A. Gardner and Ronald Christensen
Vol. 60, No. 1 (Mar., 2004), pp. 165-171
Published by: International Biometric Society
Stable URL: http://www.jstor.org/stable/3695564
Page Count: 7
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We develop a Bayesian approach to sample size computations for surveys designed to provide evidence of freedom from a disease or from an infectious agent. A population is considered "disease-free" when the prevalence or probability of disease is less than some threshold value. Prior distributions are specified for diagnostic test sensitivity and specificity and we test the null hypothesis that the prevalence is below the threshold. Sample size computations are developed using hypergeometric sampling for finite populations and binomial sampling for infinite populations. A normal approximation is also developed. Our procedures are compared with the frequentist methods of Cameron and Baldock (1998a, Preventive Veterinary Medicine 34, 1-17.) using an example of foot-and-mouth disease. User-friendly programs for sample size calculation and analysis of survey data are available at http://www.epi.ucdavis.edu/diagnostictests/.
Biometrics © 2004 International Biometric Society