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PRIVACY ACT MATERIAL REMOVE:
is to sum the arithmetic means,
are summing distributions reliably,
and
also, no matter what the distribution is, that you can sum the variances;
equal
jis
sum
the variance of the
that
to the sum of the
individual
Once we have done that, we then have an arithmetic mean and an
variances.
arithmetic standard deviation.
If we know that we can, indeed, calculate
back to a geometric mean and a geometric standard deviation to provide a
distribution of values.
The next viewgraph
these parameters.
(LRA-35)
shows
the relationships between all
of
This is how we calculate
We've already seen that one.
10
an arithmetic standard deviation where a variance is shown here, if we know
ll
the geometric standard deviation and also the geometric mean.
12
two
13
deviation,
14
standard deviation.
15
Dunning and Schwarz (published) in Health Physics.
show how,
Well,
16
if we know
can
how we
the
an
arithmetic mean,
calculate
the
or
standard
arithmetic
an
mean
geometric
And these
and
geometric
the
These results, by the way, are taken from a paper by
next
four
viewgraphs
(LRA-36,
-37,
-38,
show
-39)
was an
_
(LRA-36)
the
17
results of doing all of these calculations.
18
individual who had melanoma.
19
dose on the skin directly from the Los Alamos calculations.
20
the probability distribution.
21
percent confident that his dose was equal to or less than 590 rads, and so
22
forth.
For his case we are looking now at the beta
The most likely dose is 310 rads.
The next viewgraph (LRA-37),
23
This indicates
We are 90
» he had
the doses for —
We have assumed that the organ of interest is the whole
24
Hodgkin's-disease.
25
body.
26
and
27
in utero exposure from external dose.
28
a fairly typical result that the dose from ingestion is much smaller, say,
This indicates now that -- in his case we have an in-utero exposure,
this
is
not the one that Yook
44
is
largely
This comes from Los Alamos.
We see
Ng calculated,
but this