Estimation in Nonprobability Sampling
Weights of the calibration estimator
Confidence interval
Calculates Jackknife variance without reweighting
Calculates Jackknife variance with reweighting for an arbitrary estima...
Calculates Jackknife variance with reweighting for PSA
Calculates Lee weights
Predicts unknown responses by matching
Estimates the population means
Calculates a model assisted estimation
Calculates a model based estimation
Calculates a model calibrated estimation
Estimates the population proportion
Calculates sample propensities
Calculates Schonlau and Couper weights
Estimates the population totals
Calculates Valliant weights
Calculates Valliant and Dever weights
Different inference procedures are proposed in the literature to correct for selection bias that might be introduced with non-random selection mechanisms. A class of methods to correct for selection bias is to apply a statistical model to predict the units not in the sample (super-population modeling). Other studies use calibration or Statistical Matching (statistically match nonprobability and probability samples). To date, the more relevant methods are weighting by Propensity Score Adjustment (PSA). The Propensity Score Adjustment method was originally developed to construct weights by estimating response probabilities and using them in Horvitz–Thompson type estimators. This method is usually used by combining a non-probability sample with a reference sample to construct propensity models for the non-probability sample. Calibration can be used in a posterior way to adding information of auxiliary variables. Propensity scores in PSA are usually estimated using logistic regression models. Machine learning classification algorithms can be used as alternatives for logistic regression as a technique to estimate propensities. The package 'NonProbEst' implements some of these methods and thus provides a wide options to work with data coming from a non-probabilistic sample.