3. The administrative frame is a subset of the area household frame, and thus the two frames overlap. However, one can define two non-overlapping strata by considering those in the administrative frame to be one stratum and all members of the area household frame not included in the administrative frame to be the second stratum, implying that a sample for the second stratum selected from the area household frame would need to be screened to excluded members of the administrative frame. Formation of these two strata is the simplest frame construction arrangement for a dual-frame design and comparable to the frame structure of telephone sampling of landline and cell-only households (Hartley, 1962; Lohr, 2011).
4. The administrative frame might be chosen from any of the following sets of people who: (1) filed a crime complaint with the police or some other law enforcement agency, (2) were victims of RSA or aggravated assault when an accused perpetrator is charged with a crime and tried in the criminal justice system, (3) were treated for assault-related health consequences by a hospital emergency department, (4) were clients of victim support services (e.g., rape crisis center, domestic violence shelters, etc.), (5) were registered residents of Indian reservations, (6) were treated at Indian Health Services facilities, or (7) were patients of outpatient mental health clinics.
5. A simple form of sampling (i.e., simple random sampling with replacement, SRSWR) is applied separately to the administrative and the nonadministrative household strata.
6. The dual-frame sample design is seen as an alternative to a single-frame (SF) design but uses a standard area household frame as currently used in the NCVS. While more complex forms of stratified cluster sampling would be used with DF and SF designs, one assumes SRSWR sampling is applied to each frame, with the presumption that effects of greater sampling complexity would cancel, thus sustaining a comparison between the two design alternatives.
DETERMINING THE MOST COST-EFFICIENT SAMPLE ALLOCATION AMONG STRATA IN THE DUAL-FRAME DESIGN
One can consider the simplest case of multiframe sample design in which the set of population members comprising two overlapping frames is divided into two nonoverlapping sampling strata, as for instance with cell and landline frames in telephone sampling (Hartley, 1962; Lohr, 2011). In the situation described above, we have two nonoverlapping sampling strata formed by the members of: (1) the administrative frame (A), and (2) the nonadministrative household frame (HH) consisting of those members