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samplingVarEst (version 1.5)

Sampling Variance Estimation

Description

Functions to calculate some point estimators and estimate their variance under unequal probability sampling without replacement. Single and two-stage sampling designs are considered. Some approximations for the second-order inclusion probabilities (joint inclusion probabilities) are available (sample and population based). A variety of Jackknife variance estimators are implemented. Almost every function is written in C (compiled) code for faster results. The functions incorporate some performance improvements for faster results with large datasets.

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Version

Install

install.packages('samplingVarEst')

Monthly Downloads

281

Version

1.5

License

GPL (>= 2)

Maintainer

Emilio Escobar

Last Published

January 14th, 2023

Functions in samplingVarEst (1.5)

Est.EmpDistFunc.NHT

The Narain-Horvitz-Thompson estimator for the empirical cumulative distribution function
Est.Corr.Hajek

Estimator of a correlation coefficient using the Hajek point estimator
Est.RegCoI.Hajek

Estimator of the intercept regression coefficient using the Hajek point estimator
Est.EmpDistFunc.Hajek

The Hajek estimator for the empirical cumulative distribution function
VE.EB.SYG.Ratio

The Escobar-Berger unequal probability replicate variance estimator for the estimator of a ratio (Sen-Yates-Grundy form)
Est.Total.NHT

The Narain-Horvitz-Thompson estimator for a total
VE.EB.SYG.Total.Hajek

The Escobar-Berger unequal probability replicate variance estimator for the Hajek (1971) estimator of a total (Sen-Yates-Grundy form)
VE.EB.HT.Mean.Hajek

The Escobar-Berger unequal probability replicate variance estimator for the Hajek (1971) estimator of a mean (Horvitz-Thompson form)
VE.EB.HT.Total.Hajek

The Escobar-Berger unequal probability replicate variance estimator for the Hajek (1971) estimator of a total (Horvitz-Thompson form)
VE.EB.HT.Ratio

The Escobar-Berger unequal probability replicate variance estimator for the estimator of a ratio (Horvitz-Thompson form)
VE.EB.SYG.Mean.Hajek

The Escobar-Berger unequal probability replicate variance estimator for the Hajek (1971) estimator of a mean (Sen-Yates-Grundy form)
Pk.PropNorm.U

Inclusion probabilities proportional to a specified variable.
Pkl.Hajek.U

The Hajek approximation for the 2nd order (joint) inclusion probabilities (population based)
Pkl.Hajek.s

The Hajek approximation for the 2nd order (joint) inclusion probabilities (sample based)
VE.Jk.B.RegCoI.Hajek

The Berger (2007) unequal probability jackknife variance estimator for the estimator of the intercept regression coefficient using the Hajek point estimator
VE.Hajek.Mean.NHT

The Hajek variance estimator for the Narain-Horvitz-Thompson point estimator for a mean
VE.HT.Mean.NHT

The Horvitz-Thompson variance estimator for the Narain-Horvitz-Thompson point estimator for a mean
VE.Jk.B.RegCo.Hajek

The Berger (2007) unequal probability jackknife variance estimator for the estimator of the regression coefficient using the Hajek point estimator
VE.Hajek.Total.NHT

The Hajek variance estimator for the Narain-Horvitz-Thompson point estimator for a total
VE.Jk.B.Total.Hajek

The Berger (2007) unequal probability jackknife variance estimator for the Hajek estimator of a total
VE.Jk.B.Mean.Hajek

The Berger (2007) unequal probability jackknife variance estimator for the Hajek estimator of a mean
VE.Jk.B.Corr.Hajek

The Berger (2007) unequal probability jackknife variance estimator for the estimator of a correlation coefficient using the Hajek point estimator
VE.Jk.B.Ratio

The Berger (2007) unequal probability jackknife variance estimator for the estimator of a ratio
VE.HT.Total.NHT

The Horvitz-Thompson variance estimator for the Narain-Horvitz-Thompson point estimator for a total
VE.Jk.CBS.SYG.Ratio

The Campbell-Berger-Skinner unequal probability jackknife variance estimator for the estimator of a ratio (Sen-Yates-Grundy form)
VE.Jk.CBS.HT.Corr.Hajek

The Campbell-Berger-Skinner unequal probability jackknife variance estimator for the estimator of a correlation coefficient using the Hajek point estimator (Horvitz-Thompson form)
VE.Jk.CBS.HT.RegCo.Hajek

The Campbell-Berger-Skinner unequal probability jackknife variance estimator for the estimator of the regression coefficient using the Hajek point estimator (Horvitz-Thompson form)
VE.Jk.CBS.HT.Ratio

The Campbell-Berger-Skinner unequal probability jackknife variance estimator for the estimator of a ratio (Horvitz-Thompson form)
VE.Jk.CBS.HT.Total.Hajek

The Campbell-Berger-Skinner unequal probability jackknife variance estimator for the Hajek (1971) estimator of a total (Horvitz-Thompson form)
VE.Jk.CBS.SYG.Corr.Hajek

The Campbell-Berger-Skinner unequal probability jackknife variance estimator for the estimator of a correlation coefficient using the Hajek point estimator (Sen-Yates-Grundy form)
VE.Jk.CBS.HT.Mean.Hajek

The Campbell-Berger-Skinner unequal probability jackknife variance estimator for the Hajek (1971) estimator of a mean (Horvitz-Thompson form)
VE.Jk.CBS.HT.RegCoI.Hajek

The Campbell-Berger-Skinner unequal probability jackknife variance estimator for the estimator of the intercept regression coefficient using the Hajek point estimator (Horvitz-Thompson form)
VE.Jk.CBS.SYG.RegCoI.Hajek

The Campbell-Berger-Skinner unequal probability jackknife variance estimator for the estimator of the intercept regression coefficient using the Hajek point estimator (Sen-Yates-Grundy form)
VE.Jk.CBS.SYG.Mean.Hajek

The Campbell-Berger-Skinner unequal probability jackknife variance estimator for the Hajek (1971) estimator of a mean (Sen-Yates-Grundy form)
VE.Jk.CBS.SYG.RegCo.Hajek

The Campbell-Berger-Skinner unequal probability jackknife variance estimator for the estimator of the regression coefficient using the Hajek point estimator (Sen-Yates-Grundy form)
VE.Jk.EB.SW2.Corr.Hajek

The self-weighted two-stage sampling Escobar-Berger (2013) jackknife variance estimator for the estimator of a correlation coefficient using the Hajek point estimator
VE.Jk.EB.SW2.Ratio

The self-weighted two-stage sampling Escobar-Berger (2013) jackknife variance estimator for the estimator of a ratio
VE.Jk.EB.SW2.RegCoI.Hajek

The self-weighted two-stage sampling Escobar-Berger (2013) jackknife variance estimator for the estimator of the intercept regression coefficient using the Hajek point estimator
VE.Jk.EB.SW2.Mean.Hajek

The self-weighted two-stage sampling Escobar-Berger (2013) jackknife variance estimator for the Hajek (1971) estimator of a mean
VE.SYG.Total.NHT

The Sen-Yates-Grundy variance estimator for the Narain-Horvitz-Thompson point estimator for a total
VE.Lin.SYG.Ratio

The unequal probability linearisation variance estimator for the estimator of a ratio (Sen-Yates-Grundy form)
VE.Jk.Tukey.Corr.Hajek

The Tukey (1958) jackknife variance estimator for the estimator of a correlation coefficient using the Hajek point estimator
oaxaca

Municipalities of the state of Oaxaca in Mexico
VE.Jk.Tukey.Mean.Hajek

The Tukey (1958) jackknife variance estimator for the Hajek estimator of a mean
VE.Jk.CBS.SYG.Total.Hajek

The Campbell-Berger-Skinner unequal probability jackknife variance estimator for the Hajek (1971) estimator of a total (Sen-Yates-Grundy form)
VE.Jk.EB.SW2.RegCo.Hajek

The self-weighted two-stage sampling Escobar-Berger (2013) jackknife variance estimator for the estimator of the regression coefficient using the Hajek point estimator
VE.Jk.Tukey.RegCoI.Hajek

The Tukey (1958) jackknife variance estimator for the estimator of the intercept regression coefficient using the Hajek point estimator
VE.SYG.Mean.NHT

The Sen-Yates-Grundy variance estimator for the Narain-Horvitz-Thompson point estimator for a mean
VE.Jk.EB.SW2.Total.Hajek

The self-weighted two-stage sampling Escobar-Berger (2013) jackknife variance estimator for the Hajek (1971) estimator of a total
samplingVarEst-package

Sampling Variance Estimation package
VE.Jk.Tukey.Ratio

The Tukey (1958) jackknife variance estimator for the estimator of a ratio
VE.Jk.Tukey.Corr.NHT

The Tukey (1958) jackknife variance estimator for the estimator of a correlation coefficient using the Narain-Horvitz-Thompson point estimator
VE.Jk.Tukey.RegCo.Hajek

The Tukey (1958) jackknife variance estimator for the estimator of the regression coefficient using the Hajek point estimator
VE.Jk.Tukey.Total.Hajek

The Tukey (1958) jackknife variance estimator for the Hajek estimator of a total
VE.Lin.HT.Ratio

The unequal probability linearisation variance estimator for the estimator of a ratio (Horvitz-Thompson form)
Est.Ratio

Estimator of a ratio
Est.Corr.NHT

Estimator of a correlation coefficient using the Narain-Horvitz-Thompson point estimator
Est.Mean.Hajek

The Hajek estimator for a mean
Est.RegCo.Hajek

Estimator of the regression coefficient using the Hajek point estimator
Est.Mean.NHT

The Narain-Horvitz-Thompson estimator for a mean
Est.Total.Hajek

The Hajek estimator for a total