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 

  • Recent progress on mathematical wave turbulence

    Speaker: Yu Deng (USC) https://sites.google.com/usc.edu/yudeng/

    When: Thu, September 7, 2023 - 3:30pm
    Where: Kirwan Hall MTH1311
  • Invasion: robustness and universality

    Speaker: Cole Graham (Brown University) https://colegraham.net/

    When: Thu, September 14, 2023 - 3:30pm
    Where: EGR3102
  • Formation of shocks for the Einstein-Euler system

    Speaker: John Anderson (Stanford) https://web.stanford.edu/~jrlander/

    When: Thu, September 21, 2023 - 3:30pm
    Where: MTH1311
  • Dynamics of kink clusters for scalar fields in dimension 1+1

    Speaker: Andrew Lawrie (MIT) https://math.mit.edu/~alawrie/

    When: Thu, September 28, 2023 - 3:30pm
    Where: MTH1311
  • Effects of Network Structure on Spreading of Innovations

    Speaker: Gadi Fibich http://www.math.tau.ac.il/~fibich/

    When: Thu, October 5, 2023 - 3:30pm
    Where: MTH1311
  • Convergence rates to traveling waves

    Speaker: Lenya Ryzhik  http://math.stanford.edu/~ryzhik/

    When: Thu, October 12, 2023 - 3:30pm
    Where: MTH1311
  • The nonlinear theory of sound

    Speaker: Robin Yong (UMass Amherst)

    When: Thu, October 19, 2023 - 3:30pm
    Where: MTH1311
  • Regularity of Bubbles in Porous Media

    Speaker: Neel Patel 

    When: Thu, October 26, 2023 - 3:30pm
    Where: MTH1311
  • Parabolic equations and diffusion processes with degeneration: boundary problems, metastability, and homogenization

    Speaker: Leonid Koralov (UMD)

    When: Thu, November 2, 2023 - 3:15am
    Where: MTH1311
  • To Flutter or Not: Mathematical Aeroelasticity

    Speaker: Justin Webster (UMBC) http://webster.math.umbc.edu/ 

    When: Thu, November 16, 2023 - 3:30pm
    Where: MTH1311
  • Nonlocal Boundary Value Problems with Local Boundary Conditions

    Speaker: James Scott (Columbia) https://sites.google.com/view/jamesmichaelscott/home

    When: Thu, November 30, 2023 - 3:30pm
    Where:
  • Matrix generalization of the cubic SzegÅ‘ equation

    Speaker: Ruoci Sun https://sites.google.com/view/sun-ruoci/home

    When: Thu, February 8, 2024 - 3:30pm
    Where: MTH1311
  • Nearly self-similar blowup of the slightly perturbed homogeneous Landau equation with very soft potentials

    Speaker: Jiajie Chen (Courant) https://jiajiechen94.github.io/ 

    When: Thu, February 22, 2024 - 3:30pm
    Where: MTH1311
  • One example of Residual Diffusivity

    Speaker: Gautam Iyer https://www.math.cmu.edu/~gautam/sj/index.html

    When: Thu, April 4, 2024 - 3:30pm
    Where: MTH1311
  • Global regularity for critical SQG in bounded domains

    Speaker: Peter Constantin https://web.math.princeton.edu/~const/

    When: Thu, April 18, 2024 - 3:30pm
    Where: MTH3206