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Current Population Survey Design and Methodology - Census Bureau

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Appendix B.<br />

Maintaining the Desired Sample Size<br />

INTRODUCTION<br />

The <strong>Current</strong> <strong>Population</strong> <strong>Survey</strong> (CPS) sample is continually<br />

updated to include housing units built after the most<br />

recent census. If the same sampling rates were used<br />

throughout the decade, the growth of the U.S. housing<br />

inventory would lead to increases in the CPS sample size<br />

<strong>and</strong>, consequently, to increases in cost. To avoid exceeding<br />

the budget, the sampling rate is periodically reduced<br />

to maintain the desired sample size. Referred to as maintenance<br />

reductions, these changes in the sampling rate<br />

are implemented in a way that retains the desired set of<br />

reliability requirements. The most recent sampling maintenance<br />

reductions were implemented in 1999 <strong>and</strong> 2003.<br />

These maintenance reductions are different from changes<br />

to the base CPS sample size resulting from modifications<br />

to the CPS funding levels. The methodology for designing<br />

<strong>and</strong> implementing this type of sample-size change is generally<br />

dictated by new requirements specified by the<br />

<strong>Bureau</strong> of Labor Statistics (BLS). For example, the sample<br />

reduction implemented in January 1996 was due to a<br />

reduction in CPS funding <strong>and</strong> new design requirements<br />

were specified.<br />

MAINTENANCE REDUCTIONS<br />

Developing the Reduction Plan<br />

The CPS sample size for the United States is projected forward<br />

for about a year using linear regression based on<br />

previous CPS monthly sample sizes. The future CPS<br />

sample size must be predicted because CPS maintenance<br />

reductions are gradually introduced over 16 months <strong>and</strong><br />

operational lead time is needed so that dropped cases will<br />

not be interviewed.<br />

Housing growth is examined in all states <strong>and</strong> major substate<br />

areas to determine whether it is uniform or not. The<br />

states with faster growth are c<strong>and</strong>idates for maintenance<br />

reduction. The post-reduction sample must be sufficient to<br />

maintain the individual state <strong>and</strong> national reliability<br />

requirements. Generally, the sample in a state is reduced<br />

by the same proportion in all frames in all primary sampling<br />

units (PSUs) to maintain the self-weighting nature of<br />

the state-level design.<br />

Implementing the Reduction Plan<br />

Reduction groups. The CPS sample size is reduced by<br />

deleting one or more subsamples of ultimate sampling<br />

units (USUs) from both the old construction <strong>and</strong> permit<br />

<strong>Current</strong> <strong>Population</strong> <strong>Survey</strong> TP66<br />

U.S. <strong>Bureau</strong> of Labor Statistics <strong>and</strong> U.S. <strong>Census</strong> <strong>Bureau</strong><br />

frames. The original sample of USUs is partitioned into<br />

101 subsamples called reduction groups; each is representative<br />

of the overall sample. The decision to use 101 subsamples<br />

is somewhat arbitrary. A useful attribute of the<br />

number used is that it is prime to the number of rotation<br />

groups (eight) so that reductions have a uniform effect<br />

across rotations. A number larger than 101 would allow<br />

greater flexibility in pinpointing proportions of the sample<br />

to reduce. However, a large number of reduction groups<br />

can lead to imbalances in the distribution of sample cuts<br />

across PSUs, since small PSUs may not have enough<br />

sample to have all reduction groups represented.<br />

All USUs in a hit string have the same reduction group<br />

number (see Chapter 3). For the unit, area, <strong>and</strong> group<br />

quarters (GQ) frames, hit strings are sorted <strong>and</strong> then<br />

sequentially assigned a reduction group code from<br />

1 through 101. The sort sequence is:<br />

1. State or substate.<br />

2. Metropolitan statistical area/nonmetropolitan statistical<br />

area status.<br />

3. Self-representing/non-self-representing status.<br />

4. Stratification PSU.<br />

5. Final hit number, which defines the original order of<br />

selection.<br />

For the permit frame, a r<strong>and</strong>om start is generated for each<br />

stratification PSU <strong>and</strong> permit frame hits are assigned a<br />

reduction group code from 1 through 101 following a specific,<br />

nonsequential pattern. This method of assigning<br />

reduction group code is used to improve balancing of<br />

reduction groups because of small permit sample sizes in<br />

some PSUs <strong>and</strong> the uncertainty about which PSUs will actually<br />

have permit samples over the life of the design. The<br />

sort sequence is:<br />

1. Stratification PSU.<br />

2. Basic PSU Component (BPC)<br />

3. Original hit number.<br />

The state or national sample can be reduced by deleting<br />

USUs from both the old construction <strong>and</strong> permit frames in<br />

one or more reduction groups. If there are k reduction<br />

groups in the sample, the sample may be reduced by 1/k<br />

by deleting one of k reduction groups. For the first reduction<br />

applied to redesigned samples, each reduction group<br />

represents roughly 1 percent of the sample. Reduction<br />

Maintaining the Desired Sample Size B−1

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