Suppose in a two-stage cluster sample that all population cluster sizes are equal (Mi = M for
Question:
Suppose in a two-stage cluster sample that all population cluster sizes are equal
(Mi = M for all i), and that all sample sizes for the clusters are equal (mi = m for all i).
a. Show (5.30).
b. Show that MSW = S2(1 − R2a) and that
d. Show that if S2 and the sample and population sizes are fixed, and if (m−1)/m > n/N, then V () is an increasing function of R2a.
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