Simple random sampling. Sampling for proportions. Estimation of sample size. Sampling with varying probabilities. Sampling: stratified, systematic, cluster, double, sequential, incomplete. Also listed as SURV 440.
STAT 401 or STAT 420
Basic concepts
Populations, samples, sampling frames.
Sampling design, statistics, bias.
Sampling and nonsampling errors.
(0.5 week)
Simple Random Sampling
Estimates of population mean, total, proportion and variance and their sampling properties.
Confidence limits, use of normal approximation.
Auxiliary information, ratio and regression estimators.
(4.5 weeks)
Stratified Samples
Definitions, weighting and estimators.
Optimal allocation, poststratification.
(2 weeks)
Unbiased Estimation for Cluster and Two-Stage Sampling
Single-stage, two-stage, and multi-stage cluster sampling.
Fixed and random clusters.
With-replacement and without-replacement sampling of PSU's.
Approximate variance estimators.
(4 weeks)
Advanced Topics
Variance estimation, categorical data analysis, regression in complex surveys.