Sample Size Calculations for Surveys to Substantiate Freedom of Populations from Infectious Agents

作者: Wesley O. Johnson , Chun‐Lung Su , Ian A. Gardner , Ronald Christensen

DOI: 10.1111/J.0006-341X.2004.00143.X

关键词:

摘要: Summary.  We develop a Bayesian approach to sample size computations for surveys designed provide evidence of freedom from disease or an infectious agent. A population is considered “disease-free” when the prevalence probability less than some threshold value. Prior distributions are specified diagnostic test sensitivity and specificity we null hypothesis that below threshold. Sample developed using hypergeometric sampling finite populations binomial infinite populations. normal approximation also developed. Our procedures compared with frequentist methods Cameron Baldock (1998a, Preventive Veterinary Medicine34, 1–17.) example foot-and-mouth disease. User-friendly programs calculation analysis survey data available at http://www.epi.ucdavis.edu/diagnostictests/.

参考文章(22)
Michael R Chernick, Christine Y Liu, The Saw-Toothed Behavior of Power Versus Sample Size and Software Solutions The American Statistician. ,vol. 56, pp. 149- 155 ,(2002) , 10.1198/000313002317572835
George Casella, Christian P. Robert, Monte Carlo Statistical Methods ,(1999)
R.M. Cannon, Sense and sensitivity--designing surveys based on an imperfect test Preventive Veterinary Medicine. ,vol. 49, pp. 141- 163 ,(2001) , 10.1016/S0167-5877(01)00184-2
Joseph L. Gastwirth, Wesley O. Johnson, Dana M. Reneau, Bayesian analysis of screening data: Application to AIDS in blood donors Canadian Journal of Statistics. ,vol. 19, pp. 135- 150 ,(1991) , 10.2307/3315793
Edward J. Bedrick, Ronald Christensen, Wesley Johnson, A New Perspective on Priors for Generalized Linear Models Journal of the American Statistical Association. ,vol. 91, pp. 1450- 1460 ,(1996) , 10.1080/01621459.1996.10476713
Kelly H. Zou, Sharon-Lise T. Normand, On determination of sample size in hierarchical binomial models. Statistics in Medicine. ,vol. 20, pp. 2163- 2182 ,(2001) , 10.1002/SIM.855
SE RIDGE, IR MORGAN, DC SOCKETT, MT COLLINS, RJ CONDRON, NW SKILBECK, JJ WEBBER, Comparison of the Johne's absorbed EIA and the complement-fixation test for the diagnosis of Johne's disease in cattle. Australian Veterinary Journal. ,vol. 68, pp. 253- 257 ,(1991) , 10.1111/J.1751-0813.1991.TB03230.X
Angus R. Cameron, F.Chris Baldock, A new probability formula for surveys to substantiate freedom from disease. Preventive Veterinary Medicine. ,vol. 34, pp. 1- 17 ,(1998) , 10.1016/S0167-5877(97)00081-0
Robert Weiss, Bayesian sample size calculations for hypothesis testing The Statistician. ,vol. 46, pp. 185- 191 ,(1997) , 10.1111/1467-9884.00075
Angus R. Cameron, F.Chris Baldock, Two-stage sampling in surveys to substantiate freedom from disease. Preventive Veterinary Medicine. ,vol. 34, pp. 19- 30 ,(1998) , 10.1016/S0167-5877(97)00073-1