# Variance Estimation for Sample Surveys by the Ultimate Cluster Method

### Description

Generation of domain variables, linearization of several nonlinear population statistics (the ratio of two totals, weighted income percentile, at risk of poverty rate, at risk of poverty threshold, Gini coefficient, gender pay gap, the aggregate replacement ratio, the relative median income ratio, median income of individuals below at risk of poverty gap, income quintile share ratio, relative median at risk of poverty gap), computation of regression residuals in case of weight calibration, variance estimation of sample surveys by the ultimate cluster method (Hansen, Hurwitz and Madow, Theory, vol. I: Methods and Applications; vol. II: Theory. 1953, New York: John Wiley and Sons.), variance estimation for longitudinal, cross - sectional measures and measures of change for single and multistage stage cluster sampling designs (Berger, Y. G. ,2015, <doi:10.1111/rssa.12116>). Several other precision measures are derived - standard error, the coefficient of variation, the margin of error, confidence interval, design effect.

### Details

Package: | vardpoor |

Version: | 0.8.0 |

Date: | 2016-12-08 |

Depends: | R (>= 3.2.3), data.table (>= 1.9.6), laeken, stringr |

Imports: | reshape, foreach, plyr, gdata, MASS, stats, utils, surveyplanning |

License: | GPL (>= 2) |

URL: | https://github.com/CSBLatvia/vardpoor/ |

BugReports: | https://github.com/CSBLatvia/vardpoor/issues/ |

Index:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 | ```
domain Split data variables by domains
incPercentile Weighted income percentile
lin.ratio Linearization of the ratio estimator
linarr Linearization of the aggregate replacement ratio
linrmi Linearization of the relative median income ratio
linarpr Linearization of the at-risk-of-poverty rate
linarpt Linearization of the at-risk-of-poverty
threshold
lingini Linearization of the GINI coefficient I
lingini2 Linearization of the GINI coefficient II
lingpg Linearization of the gender pay (wage) gap
linpoormed Linearization of the median income below the
at-risk-of-poverty gap
linqsr Linearization of the income quintile share ratio
linrmpg Linearization of the relative median
at-risk-of-poverty gap
residual_est Residual estimation of calibration
var_srs The estimation of the simple random sampling
vardchanges Variance estimation for measures of change for
single and multistage stage cluster sampling designs
vardchangespoor Variance estimation for measures of change for sample
surveys for indicators on social exclusion and poverty
vardcros Variance estimation for cross-sectional and
longitudinal measures for single and multistage
stage cluster sampling designs
vardcrospoor Variance estimation for cross-sectional,
longitudinal measures for indicators on
social exclusion and poverty
vardom Estimation of the variance in domain by the ultimate
cluster method
vardom_othstr Variance estimation for sample surveys in domain
using two stratification
vardomh Variance estimation for sample surveys in domain for one
or two stage surveys by the ultimate cluster method
vardpoor-package Variance estimation for sample surveys by the
ultimate cluster method ~~ package title ~~
variance_est Variance estimation for sample surveys by the ultimate
cluster method
variance_othstr Variance estimation for sample surveys by the new
stratification
varpoord Estimation of the variance and deff for sample
surveys for indicators on social exclusion and poverty
``` |

### Author(s)

Juris Breidaks [aut, cre], Martins Liberts [aut] Santa Ivanova [aut]

Maintainer: Juris Breidaks <Juris.Breidaks@csb.gov.lv>