# Selection of Samples and Parameter Estimation in Finite Population

## Documentation for package ‘TeachingSampling’ version 4.1.1

- DESCRIPTION file.

## Help Pages

BigCity | Full Person-level Population Database
BigLucy | Full Business Population Database
Deltakl | Variance-Covariance Matrix of the Sample Membership Indicators for Fixed Size Without Replacement Sampling Designs
Domains | Domains Indicator Matrix
E.1SI | Estimation of the Population Total under Single Stage Simple Random Sampling Without Replacement
E.2SI | Estimation of the Population Total under Two Stage Simple Random Sampling Without Replacement
E.BE | Estimation of the Population Total under Bernoulli Sampling Without Replacement
E.Beta | Estimation of the population regression coefficients under SI designs
E.piPS | Estimation of the Population Total under Probability Proportional to Size Sampling Without Replacement
E.PO | Estimation of the Population Total under Poisson Sampling Without Replacement
E.PPS | Estimation of the Population Total under Probability Proportional to Size Sampling With Replacement
E.Quantile | Estimation of a Population quantile
E.SI | Estimation of the Population Total under Simple Random Sampling Without Replacement
E.STpiPS | Estimation of the Population Total under Stratified Probability Proportional to Size Sampling Without Replacement
E.STPPS | Estimation of the Population Total under Stratified Probability Proportional to Size Sampling With Replacement
E.STSI | Estimation of the Population Total under Stratified Simple Random Sampling Without Replacement
E.SY | Estimation of the Population Total under Systematic Sampling Without Replacement
E.Trim | Weight Trimming and Redistribution
E.UC | Estimation of the Population Total and its variance using the Ultimate Cluster technique
E.WR | Estimation of the Population Total under Simple Random Sampling With Replacement
GREG.SI | The Generalized Regression Estimator under SI sampling design
HH | The Hansen-Hurwitz Estimator
HT | The Horvitz-Thompson Estimator
Ik | Sample Membership Indicator
IkRS | Sample Membership Indicator for Random Size sampling designs
IkWR | Sample Membership Indicator for with Replacements sampling designs
IPFP | Iterative Proportional Fitting Procedure
Lucy | Some Business Population Database
nk | Sample Selection Indicator for With Replacement Sampling Designs
OrderWR | Pseudo-Support for Fixed Size With Replacement Sampling Designs
p.WR | Generalization of every with replacement sampling design
Pik | Inclusion Probabilities for Fixed Size Without Replacement Sampling Designs
PikHol | Optimal Inclusion Probabilities Under Multi-purpose Sampling
Pikl | Second Order Inclusion Probabilities for Fixed Size Without Replacement Sampling Designs
PikPPS | Inclusion Probabilities in Proportional to Size Sampling Designs
PikSTPPS | Inclusion Probabilities in Stratified Proportional to Size Sampling Designs
S.BE | Bernoulli Sampling Without Replacement
S.piPS | Probability Proportional to Size Sampling Without Replacement
S.PO | Poisson Sampling
S.PPS | Probability Proportional to Size Sampling With Replacement
S.SI | Simple Random Sampling Without Replacement
S.STpiPS | Stratified Sampling Applying Without Replacement piPS Design in all Strata
S.STPPS | Stratified Sampling Applying PPS Design in all Strata
S.STSI | Stratified sampling applying SI design in all strata
S.SY | Systematic Sampling
S.WR | Simple Random Sampling With Replacement
Support | Sampling Support for Fixed Size Without Replacement Sampling Designs
SupportRS | Sampling Support for Random Size Without Replacement Sampling Designs
SupportWR | Sampling Support for Fixed Size With Replacement Sampling Designs
T.SIC | Computation of Population Totals for Clusters
VarHT | Variance of the Horvitz-Thompson Estimator
VarSYGHT | Two different varaince estimators for the Horvitz-Thompson estimator
Wk | The Calibration Weights