STAT 440 (Sampling Theory)
| DESCRIPTION |
Simple random sampling. Sampling
for proportions. Estimation of sample size. Sampling with
varying
probabilities. Sampling: stratified, systematic, cluster, double,
sequential, incomplete. |
| PREREQUISITES |
Stat 401 or Stat 420, or equivalent. Note: STAT 440 is also
offered as SURV 440. Credit will be granted for only one of the
following: STAT 440 or SURV 440.
|
| 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.
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| TEXT |
Text(s)
typically used in this course. |
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