Analyzing bioassay data using Bayesian methods - A primer

被引:26
作者
Miller, G [1 ]
Inkret, WC [1 ]
Schillaci, ME [1 ]
Martz, HF [1 ]
Little, TT [1 ]
机构
[1] Los Alamos Natl Lab, Los Alamos, NM 87545 USA
来源
HEALTH PHYSICS | 2000年 / 78卷 / 06期
关键词
bioassay; dosimetry; internal; tritium; statistics;
D O I
10.1097/00004032-200006000-00002
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
The classical statistics approach used in health physics for the interpretation of measurements is deficient in that it does not take into account "needle in a haystack" effects, that is, correct identification of events, that are rare in a population. This is often the case in health physics measurements, and the false positive fraction (the fraction of results measuring positive that are actually zero) is often very large using the prescriptions of classical statistics. Bayesian statistics pro,ides a methodology to minimize the number of incorrect decisions (wrong calls): false positives and false negatives. We present the basic method and a heuristic discussion. Examples are given using numerically generated and real bioassay data for tritium. Various analytical models are used to fit the prior probability distribution in order to test the sensitivity to choice of model, parametric studies show that for typical situations involving rare events the normalized Bayesian decision level k(alpha) = L-c/sigma(0) ilhero sigma(0) a is the measurement uncertainty for zero true amount, is in the range of 3 to 5 depending on the true positive rate. Four times sigma(0) rather than approximately two times a,, as in classical statistics, mould seem a better choice for the decision level in these situations.
引用
收藏
页码:598 / 613
页数:16
相关论文
共 15 条
[1]  
ALTSHULER BERNARD, 1963, HEALTH PHYS, V9, P293, DOI 10.1097/00004032-196303000-00005
[2]  
*AM NAT STAND I, 1996, N13301996 HPS ANSI
[3]  
ANDERSON J, 1995, RAD PROTECT MANAGEME, V12, P51
[4]  
[Anonymous], 1994, Investigative Guidance
[5]  
Carlin B. P., 2001, BAYES EMPIRICAL BAYE
[7]   Applications of thermal ionization mass spectrometry to the detection of 239Pu and 240Pu intakes [J].
Inkret, WC ;
Efurd, DW ;
Miller, G ;
Rokop, DJ ;
Benjamin, TM .
INTERNATIONAL JOURNAL OF MASS SPECTROMETRY, 1998, 178 (1-2) :113-120
[8]   Bayes offers a 'new' way to make sense of numbers [J].
Malakoff, D .
SCIENCE, 1999, 286 (5444) :1460-1464
[9]  
MILLER G, 1993, RADIAT PROT DOSIM, V48, P251
[10]   Internal dosimetry intake estimation using Bayesian methods [J].
Miller, G ;
Inkret, WC ;
Martz, HF .
RADIATION PROTECTION DOSIMETRY, 1999, 82 (01) :5-17