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 |

`delta` |
measure of homogeneity equal to |

`Bsq` |
unit relvariance of PSU totals, equal to population variance of totals divided by |

`Wsq` |
within PSU relvariance, equal to average element population variance divided by |

`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.

1 2 3 |

Questions? Problems? Suggestions? Tweet to @rdrrHQ or email at ian@mutexlabs.com.

Please suggest features or report bugs with the GitHub issue tracker.

All documentation is copyright its authors; we didn't write any of that.

Embedding an R snippet on your website

Add the following code to your website.

For more information on customizing the embed code, read Embedding Snippets.