The package contains functions to calculate some point estimators and estimating their variance under unequal probability sampling without replacement. Uni-stage and two-stage sampling designs are considered. The package further contains some approximations for the joint-inclusion probabilities (population and sample based formulae).
Emphasis has been put on the speed of routines as the package mostly uses C compiled code. Below there is a list of available functions. These are grouped in purpose-lists, aiming to clarify their usage.
The user should pick a suitable combination of: a population parameter of interest, a choice of point estimator, and a choice of variance estimator.
For these population parameters: | The available point estimators are: |
total: | Est.Total.NHT |
| Est.Total.Hajek |
mean: | Est.Mean.NHT |
| Est.Mean.Hajek |
empirical cumulative distribution function: | Est.EmpDistFunc.NHT |
| Est.EmpDistFunc.Hajek |
ratio: | Est.Ratio |
correlation coefficient: | Est.Corr.NHT |
| Est.Corr.Hajek |
regression coefficients: | Est.RegCoI.Hajek |
| Est.RegCo.Hajek |
For these point estimators: | The available variance estimators for uni-stage samples are: |
Est.Total.NHT : | VE.HT.Total.NHT |
| VE.SYG.Total.NHT |
| VE.Hajek.Total.NHT |
Est.Total.Hajek : | VE.Jk.Tukey.Total.Hajek |
| VE.Jk.CBS.HT.Total.Hajek |
| VE.Jk.CBS.SYG.Total.Hajek |
| VE.Jk.B.Total.Hajek |
| VE.EB.HT.Total.Hajek |
| VE.EB.SYG.Total.Hajek |
Est.Mean.NHT : | VE.HT.Mean.NHT |
| VE.SYG.Mean.NHT |
| VE.Hajek.Mean.NHT |
Est.Mean.Hajek : | VE.Jk.Tukey.Mean.Hajek |
| VE.Jk.CBS.HT.Mean.Hajek |
| VE.Jk.CBS.SYG.Mean.Hajek |
| VE.Jk.B.Mean.Hajek |
| VE.EB.HT.Mean.Hajek |
| VE.EB.SYG.Mean.Hajek |
Est.Ratio : | VE.Lin.HT.Ratio |
| VE.Lin.SYG.Ratio |
| VE.Jk.Tukey.Ratio |
| VE.Jk.CBS.HT.Ratio |
| VE.Jk.CBS.SYG.Ratio |
| VE.Jk.B.Ratio |
| VE.EB.HT.Ratio |
| VE.EB.SYG.Ratio |
Est.Corr.NHT : | VE.Jk.Tukey.Corr.NHT |
Est.Corr.Hajek : | VE.Jk.Tukey.Corr.Hajek |
| VE.Jk.CBS.HT.Corr.Hajek |
| VE.Jk.CBS.SYG.Corr.Hajek |
| VE.Jk.B.Corr.Hajek |
Est.RegCoI.Hajek : | VE.Jk.Tukey.RegCoI.Hajek |
| VE.Jk.CBS.HT.RegCoI.Hajek |
| VE.Jk.CBS.SYG.RegCoI.Hajek |
| VE.Jk.B.RegCoI.Hajek |
Est.RegCo.Hajek : | VE.Jk.Tukey.RegCo.Hajek |
| VE.Jk.CBS.HT.RegCo.Hajek |
| VE.Jk.CBS.SYG.RegCo.Hajek |
| VE.Jk.B.RegCo.Hajek |
For these point estimators: | The available variance estimators for self-weighted two-stage samples are: |
Est.Total.Hajek : | VE.Jk.EB.SW2.Total.Hajek |
Est.Mean.Hajek : | VE.Jk.EB.SW2.Mean.Hajek |
Est.Ratio : | VE.Jk.EB.SW2.Ratio |
Est.Corr.Hajek : | VE.Jk.EB.SW2.Corr.Hajek |
Est.RegCoI.Hajek : | VE.Jk.EB.SW2.RegCoI.Hajek |
Est.RegCo.Hajek : | VE.Jk.EB.SW2.RegCo.Hajek |
For the inclusion probabilities: | The available functions are: |
1st order inclusion probabilities: | Pk.PropNorm.U |
2nd order (joint) inclusion probabilities: | Pkl.Hajek.s |
| Pkl.Hajek.U |