vardpoor - Variance Estimation for Sample Surveys by the Ultimate Cluster
Method
Generation of domain variables, linearization of several
non-linear population statistics (the ratio of two totals,
weighted income percentile, relative median income ratio,
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 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, Sample Survey Methods And 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.