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. Also listed as SURV 440.

Prerequisites

1 course with a minimum grade of C- from (STAT401, STAT420)


Level of Rigor

Standard


Sample Textbooks

Sampling, by Thompson

Sampling: Design and Analysis, by S. L. Lohr


Applications



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Additional Notes

Duplicate credit with Surv440

Students interested in grad school in STAT should consider this course

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.

Archives: F2011-S2012 F2012-S2013 F2013-S2014 F2014-S2015 F2015-S2016 F2016-S2017 F2017-S2018 F2018-S2019 F2019-S2020 F2020-S2021 F2021-S2022 F2022-S2023 F2023-S2024 F2024-S2025 

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