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Applied Experimental Designs


Course Description

Constructing and analyzing statistical experimental designs; blocking, randomization, replication, and interaction; complete and incomplete block designs; factorial experiments; repeated measures; confounding effects; orthogonal arrays; computer experiments and simulations; design and analysis for generalized linear models.


Athena Title

Applied Experimental Designs


Prerequisite

STAT 4230/6230


Semester Course Offered

Offered fall, spring and summer


Grading System

A - F (Traditional)


Student Learning Outcomes

  • Students will choose sound and suitable experimental designs for a given research objective. This includes evaluating the choice of response variable, identifying and deciding how to handle extraneous sources of variability, and evaluating the pros and cons of various design strategies, such as blocking.
  • Students will explore real data sets using a variety of graphical and numerical methods.
  • Students will analyze data using R and/or Python, and write reports using professional typesetting system (e.g. LaTeX).
  • Students will decompose the variability in any experimentally-generated data set into components corresponding to the factors of the design and find the parallel decompositions of the sums of squares and degrees of freedom. Conduct formal inference from experimental data by constructing the appropriate estimates and F-tests.
  • Students will design an efficient experiment, collect data (if applicable), analyze it and draw meaningful conclusions.

Topical Outline

  • Multiple Linear Regression
  • Fundamentals of Designing an Experiment
  • Completely Randomized Design
  • Randomized Block Design
  • Multi-way Layout
  • Latin Square Design
  • Balanced Incomplete Block Design
  • 2^k Full Factorial Experiments
  • Fractional Fractorial Experiments
  • Designs and Subsampling

Syllabus