Athapascan Indians; Indians of North America -- California
One additional assumption is necessary. We must assume that the sample
used is taken in a random fashion from the population to be studied. In
the present investigation, the sample is definitely not taken at random,
since we are using all groups for which we have population estimates
based on ethnographic information. The question is, then, whether this
selection of groups would result in some bias. For instance, the groups
for which we have ethnographic data might be the most numerous in the
first place and might thus cause us overestimate the population of
the remaining groups. On the whole, it would seem to me that there is
no such bias and that the assumption of a random sample is therefore
not misleading, at least in the direction of overestimation. If we now
consider each group for which we have no ethnographic data, we can see
whether the lack of such data is due to an initially small population or
to mere luck.
Kato: The reason Kato population is being estimated in gross
rather than from ethnographic data is that Goddard (1909, p. 67)
obtained a list of more than 50 villages which are not available
for calculation.
Bear River: Here the lack of information is due simply to the
fact that it was not collected. There have been several informants
living until recently (see Nomland, 1938).
Lassik: There was at least one good informant living until
recently (Essene, 1942), but Merriam worked with her only briefly.
Goddard evidently recorded a number of villages from this group,
but his notes are lost.
Nongatl: Goddard seems to have worked with at least two
informants from this group, but he spent a very brief time in the
area and some of his notes may have been lost.
Shelter Cove Sinkyone: Several informants from this group have
been alive until recently (see Nomland, 1935). No one saw fit to
collect the appropriate data.
It is obvious from this summary that the main reason for our lack of
information on these groups is the loss of Goddard's notes. If those
were at hand, we would probably have complete information on the Kato,
the Lassik, and probably the Nongatl. The absence of data on the Bear
River and Shelter Cove Sinkyone is due to the ethnographers' oversight.
None of these groups, therefore, seem to have been selected because of
their small aboriginal population. If the following estimates are in
error because the sample is not a random one, then the error is probably
one of underestimate rather than overestimate.
Given the foregoing assumptions, the least squares estimate of the
normal regression line may be obtained with the following formula.
P: population. A: area. F: fishing miles.
The equations of the lines are:
P = a + b (ln A)
P = a' + b' (ln F)
the estimate of b is (Bennett and Franklin, 1954, p. 224)
=S=(X_{i} - [=X])(Y_{i} - [=Y])
[^b] = -------------------------------
=S=(X_{i} - X)^{2}
and of a is
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