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FIGURE 6.

Example of Linear Regression Through the Origin.

on the
The confidence limits for all five of these methods are based
normal distribution i.e. that the estimated average ratio tis normally
ate
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and
In addition, Method 4 assumes that both X
distributed.
median
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Method 7 (Rc), the median of the observed ratios, is

independent of any distribution assumptions.

the lognormal
The range of the estimates in Table 1 is from 23.82 for
e interval
estimate, Ry4, to 26.12 for Ry. Ry, falls into each confidenc
R3 and Rs are outside the
except for those of R, and Methed 3.
estimates
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The confidence intervals for
confidence interval for R;.
smaller (2.34
based on a distributional form (Methods 1 to 6) are much
This is due to the
to 5.69) than the one for the sample median (9.77).
Since the data
fact that the observations are fairly evenly spaced.
gives about
fit a straight line through the origin, all of the metheds
of the distribution
the same estimate of the average ratio regardless
involved.

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Estimates of the Average Pu to Am Ratio in Soil,

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36
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TABLE 1.

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