Introduction to Survey Sampling and Analysis Procedures

For Taylor series and bootstrap variance estimation, the survey procedures include a finite population correction if you provide either the sampling rate or the population total. For BRR, jackknife, and replicate weight variance estimation, the procedures do not use a finite population correction.

The sampling rate is the ratio of the sample size (the number of sampling units in the sample) n to the population size (the total number of sampling units in the target population) N, . This ratio is also called the sampling fraction. If you select a sample without replacement, the extra efficiency compared to selecting a sample with replacement can be measured by the finite population correction (fpc) factor, (1-f). For fairly small sampling fractions, it is appropriate to ignore this correction. For more information, see Cochran (1977) and Kish (1965).

To specify the sampling rate when your design has multiple stages, you should input the first-stage sampling rate, which is the ratio of the number of PSUs in the sample to the total number of PSUs in the study population. To specify the population total when your design has multiple stages, you should input the total number of PSUs in the population.