Compute the coefficient of variation of an estimated total in a two-stage design. Primary sampling units (PSUs) can be selected either with probability proportional to size (pps) or with equal probability. Elements are selected via simple random sampling (srs).
1 |
V |
unit relvariance of analysis variable in the population |
m |
number of sample PSUs |
nbar |
number of sample elements per PSU |
k |
ratio of B^2 + W^2 to V. Default value is 1. |
delta |
measure of homogeneity equal to B^2/(B^2 + W^2) |
Bsq |
unit relvariance of PSU totals, equal to population variance of totals divided by \bar{t}_{U}^2 if PSUs are selected by simple random sampling; or, equal to S_{U1(pwr)}^2 divided by t_{U}^2 if PSUs are selected by ppswr |
Wsq |
within PSU relvariance, equal to average element population variance divided by \bar{y}_{U}^2 |
CVcalc2
computes the coefficient of variation of an estimated total for a two-stage sample. PSUs can be selected either with varying probabilities
and with replacement or with equal probabilities and with replacement. Elements within PSUs are selected by simple random sampling.
The CV formula is appropriate for approximating the relvariance of the probability-with-replacement (pwr)-estimator of a total when
the same number of elements is selected within each sample PSU.
Value of the coefficient of variation of an estimated total
Richard Valliant, Jill A. Dever, Frauke Kreuter
Cochran, W.G. (1977, pp.308-310). Sampling Techniques. New York: John Wiley & Sons.
Saerndal, C.E., Swensson, B., and Wretman, J. (1992). Model Assisted Survey Sampling. New York: Springer.
Valliant, R., Dever, J., Kreuter, F. (2013, sect. 9.2.1). Practical Tools for Designing and Weighting Survey Samples. New York: Springer.
CVcalc3
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