#### Description

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.

#### Prerequisites

STAT 401 or STAT 420

#### Topics

**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.