Document Details


Title:
THE IMPLICATIONS OF SAMPLING FROM A LOG-NORMAL POPULATION
Author(s):
TOY, A J [LAWRENCE LIVERMORE LABORATORY, U. OF CA]; LINDEKEN, C L [LAWRENCE LIVERMORE LABORATORY, U. OF CA]
Subject Terms:
RADIATION MONITORING; GRAPHS; PLUTONIUM 239; SOILS; STATISTICS; PROBABILITY; SAMPLING; ACTIVITY LEVELS
Document Location:
Location - NNSA/NSO Nuclear Testing Archive Address - P.O. Box 98521 City - Las Vegas State - NV Zip - 89193-8521 Phone - (702)794-5106 Fax - (702)862-4240 Email - CIC@NV.DOE.GOV
Document Type:
REPORT
Publication Date:
1975 Sep 15
Declassification Status:
Never classified
Document Pages:
0018
Accession Number:
NV0067617
Document Number(s):
UCRL76936
Originating Research Org.:
LAWRENCE LIVERMORE LABORATORY, U. OF CA
OpenNet Entry Date:
1994 Aug 26
Description/Abstract:
THE ENVIRONMENTAL RADIOACTIVITY SURROUNDING THE LAWRENCE LIVERMORE LAB ORATORY (LLL) IS TYPICALLY LOG-NORMALLY DISTRIBUTED. THE GEOMETRIC STA NDARD DEVIATION OF RADIOACTIVITY IN ALL TYPES OF SAMPLES - AIR, WATER, SOIL, SEWAGE, AND VEGETATION - IS ABOUT TWO. HYPOTHESIS TESTING WAS D ONE USING THE MEAN GEOMETRIC STANDARD DEVIATION OF THESE SAMPLES. PARA METRIC STUDIES DEMOSTRATED THE EFFECT OF THE NUMBER OF BACKGROUND SAMP LES, THE MAGNITUDE OF TOLERABLE ERRORS, THE VARIABILITY OF THE SAMPLE POPULATION, AND THE PRECISION OF THE ANALYSIS ON THE DETECTABILITY OF DIFFERENCES FROM NATURAL AND GLOBAL FALLOUT RADIOACTIVITY. IT WAS DECI DED TO ACCEPT AN ERROR PROBABILITY OF 50% THAT THE ANALYSIS WOULD SHOW A SAMPLE TO BE DIFFERENT FROM BACKGROUND WHEN, IN FACT, IT WAS NOT, A ND AN ERROR PROBABILITY OF 5% THAT THE ANALYSIS WOULD SHOW A SAMPLE TO BE BACKGROUND, WHEN IN FACT, IT WAS NOT. FOR THESEASSUMPTIONS, AN ANA LYSIS MUST DIFFER FROM BACKGROUND BY A FACTOR OF 1.6 TO INDICATE A STA TISTICAL DIFFERENCE, AND A SAMPLE MUST CONTAIN RADIOACTIVITY A FACTOR OF 8.6 DIFFERENT FROM BACKGROUND TO BE 95% DETECTABLE WITH 50% CONFIDE NCE. THE DIFFERENCE IN THE MEAN OF TWO SUCH POPULATIONS WHICH IS 95% D ETECTABLE WITH 50% CONFIDENCE IS 2.8 IF SIX SAMPLES ARE TAKEN FROM EAC H POPULATION.


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