This paper is from Session 4J: Sampling populations

which comes under Topic 4: Statistics education at the post secondary (tertiary) level

Other papers under session 4J ... 4J1: Teaching survey sampling with the “sampling” R package 4J2: The use of Monte Carlo simulations in teaching survey sampling

(Tuesday 13th, 11:00-12:30)

Understanding sample survey theory with the “replicates-duplicates” approach

Presenter

• Pierre Lavallée (Statistics Canada, Canada)

Abstract

In sampling, a sample is selected from a finite population in order to produce some estimates for this population. We want these estimations to be unbiased and the most precise. A good precision corresponds to the situation where different samples produce about the same estimation. In other words, we want the replicates (i.e., the results of the sample selection process) to be as duplicates. The use of auxiliary information (e.g. through a linear regression estimator) also helps in making replicates to be as duplicates, and the concept of superpopulations allows alleviating some emerging conceptual problems. Based on the “replicate-duplicate” approach, we can develop a complete philosophy of teaching sampling theory where, at the start, formulas are left behind to concentrate in the development of the intuitive aspect of sampling theory.

Other papers under session 4J ... 4J1: Teaching survey sampling with the “sampling” R package 4J2: The use of Monte Carlo simulations in teaching survey sampling