SAMPLE HETEROGENEITY 721 Table 1—- NUMBER OF SPECIMENS* REQUIRED TO ASSESS PICOCURIES PER SQUARE METER OF Sr IN THE SOIL OF ONE FIELD WITH STATED PRECISION+ Confidence level Depth, in. 0.90 0.95 0 to 1 10 14 1 to 2 2to3 3 to 4 4 to 5 5 to 6 6 to 8 9 8 8 9 43 20 13 10 11 13 60 28 0.99 24 23 18 19 22 105 49 *Size of sample = (ZC/P)*, where Z is the confidence-level constant, C is the standard deviation/mean, and P is the precision level. + Precision level used was 410% of the mean. Table 2— NUMBER OF SPECIMENS* REQUIRED TO DEFINE ALFALFA PRODUCTIVITY IN ONE FIELD WITH STATED PRECISION Alfalfa, g/m? Confidence level 0.90 0,95 0.99 1962 1963 1964 5 7 7 7 10 9 11 17 16 1963 May June July 2 5 7 3 7 10 4 12 17 8 11 19 July August October 13 19 33 *Size of sample = (ZC/P)?, where Z is the confidence-level constant, C is the standard deviation/mean, and P is the precision level. + Precision level used was +10% of the mean. and less than there was in the soil in which the alfalfa grew. The concentration of '*'Cs in each of these materials varied more than the mass of material or the absolute amount of "Cs in the material. We see again that the variation in the product of two factors is not predictable. Partitioning the variances among each of the factors involved in finding the absolute amount of radioactivity and that introduced in specimen collection, preparation, chemical analysis, and counting of nuclides can be very troublesome. Study of arrays of similar tables showed that there was a high degree of variation within each of the different radionuclide matrixes and

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