# Coefficient of variation of an estimated total in a 2-stage sample

### Description

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*).

### Usage

1 |

### Arguments

`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 |

### Details

`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

Value of the coefficient of variation of an estimated total

### Author(s)

Richard Valliant, Jill A. Dever, Frauke Kreuter

### References

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.

### See Also

`CVcalc3`

### Examples

1 2 3 |

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