by Michael R. Rand of BJS (Rand, 2009) in (see pages 9 and 16 of this paper) at http://www.fcsm.gov/09papers/Rand_X-B.doc, funds available to conduct the NCVS in FY2009 amounted to C* = $26M, and about 150,000 NCVS interviews were completed in 2008. These figures imply an average cost per completed interview of about CHH = $26M/150000 = $173 for the household stratum.

Dual-Frame Design:

If the average per completed interview for the police records (administrative) stratum is two (2) times that of the household stratum (i.e., like the NCVS), then θ = CA/CM = 2 and thus CA = $346.

First determine the RSA rate for the household stratum as image which makes PA = 0.83 larger than PHH by a factor of about image The standard deviations of the 0/1 RSA status indicator for the two strata thus differ by a factor of image Because of these substantial stratum differences in Ph and image one might expect from Eq. (5.37) in Cochran (1977) that a cost-efficient stratum allocation in this dual-frame context will produce substantially greater precision in estimates of P than a single-frame approach relying solely on household sampling. We will see this to be case below.

Using Equations [2] and [3] above, we find that the most cost-efficient allocation of the dual-frame sample given C* for the police records stratum will be

image

and for the household stratum,

image

Thus, the total sample size for the DF design in this case would be



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